home *** CD-ROM | disk | FTP | other *** search
| Unknown | 1995-06-14 | 77.4 KB |
open in: 
MacOS 8.1
|
Win98
|
DOS
view JSON data
|
view as text
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| Confidence | Program | Detection | Match Type | Support
|
|---|
| 100%
| file
| BSN archive data
| default (weak)
| |
| 99%
| file
| data
| default
| |
| 100%
| TrID
| BSArc compressed archive
| default (weak)
|
|
hex view+--------+-------------------------+-------------------------+--------+--------+
|00000000| ab 00 ae 02 00 00 b2 02 | 00 00 f8 0b 00 00 fc 0b |........|........|
|00000010| 00 00 00 0c 00 00 04 0c | 00 00 08 0c 00 00 0c 0c |........|........|
|00000020| 00 00 10 0c 00 00 14 0c | 00 00 18 0c 00 00 1c 0c |........|........|
|00000030| 00 00 20 0c 00 00 24 0c | 00 00 28 0c 00 00 2c 0c |.. ...$.|..(...,.|
|00000040| 00 00 30 0c 00 00 34 0c | 00 00 38 0c 00 00 3c 0c |..0...4.|..8...<.|
|00000050| 00 00 40 0c 00 00 44 0c | 00 00 48 0c 00 00 4c 0c |..@...D.|..H...L.|
|00000060| 00 00 50 0c 00 00 54 0c | 00 00 58 0c 00 00 5c 0c |..P...T.|..X...\.|
|00000070| 00 00 60 0c 00 00 64 0c | 00 00 68 0c 00 00 6c 0c |..`...d.|..h...l.|
|00000080| 00 00 70 0c 00 00 74 0c | 00 00 78 0c 00 00 7c 0c |..p...t.|..x...|.|
|00000090| 00 00 80 0c 00 00 84 0c | 00 00 88 0c 00 00 ac 0d |........|........|
|000000a0| 00 00 bc 0d 00 00 fc 0d | 00 00 24 0e 00 00 a0 0e |........|..$.....|
|000000b0| 00 00 36 10 00 00 6c 11 | 00 00 ae 12 00 00 0e 14 |..6...l.|........|
|000000c0| 00 00 1a 15 00 00 1e 15 | 00 00 22 15 00 00 26 15 |........|.."...&.|
|000000d0| 00 00 2a 15 00 00 76 15 | 00 00 7a 15 00 00 7e 15 |..*...v.|..z...~.|
|000000e0| 00 00 82 15 00 00 86 15 | 00 00 b4 15 00 00 ee 15 |........|........|
|000000f0| 00 00 f2 15 00 00 f6 15 | 00 00 fa 15 00 00 76 16 |........|......v.|
|00000100| 00 00 7a 16 00 00 7e 16 | 00 00 d6 16 00 00 da 16 |..z...~.|........|
|00000110| 00 00 de 16 00 00 1e 17 | 00 00 22 17 00 00 26 17 |........|.."...&.|
|00000120| 00 00 2a 17 00 00 2e 17 | 00 00 32 17 00 00 72 17 |..*.....|..2...r.|
|00000130| 00 00 76 17 00 00 7a 17 | 00 00 7e 17 00 00 a0 17 |..v...z.|..~.....|
|00000140| 00 00 aa 17 00 00 c0 17 | 00 00 d0 17 00 00 d4 17 |........|........|
|00000150| 00 00 14 18 00 00 18 18 | 00 00 1c 18 00 00 20 18 |........|...... .|
|00000160| 00 00 24 18 00 00 28 18 | 00 00 2c 18 00 00 6c 18 |..$...(.|..,...l.|
|00000170| 00 00 06 19 00 00 0a 19 | 00 00 0e 19 00 00 12 19 |........|........|
|00000180| 00 00 16 19 00 00 1a 19 | 00 00 60 19 00 00 64 19 |........|..`...d.|
|00000190| 00 00 68 19 00 00 6c 19 | 00 00 70 19 00 00 74 19 |..h...l.|..p...t.|
|000001a0| 00 00 78 19 00 00 be 19 | 00 00 fe 19 00 00 3e 1a |..x.....|......>.|
|000001b0| 00 00 7e 1a 00 00 be 1a | 00 00 fe 1a 00 00 14 1b |..~.....|........|
|000001c0| 00 00 66 1b 00 00 a6 1b | 00 00 aa 1b 00 00 ae 1b |..f.....|........|
|000001d0| 00 00 b2 1b 00 00 b6 1b | 00 00 ba 1b 00 00 ca 1b |........|........|
|000001e0| 00 00 ce 1b 00 00 08 1c | 00 00 0c 1c 00 00 10 1c |........|........|
|000001f0| 00 00 14 1c 00 00 42 1c | 00 00 46 1c 00 00 62 1c |......B.|..F...b.|
|00000200| 00 00 66 1c 00 00 6a 1c | 00 00 c8 1c 00 00 cc 1c |..f...j.|........|
|00000210| 00 00 d0 1c 00 00 d4 1c | 00 00 2c 1d 00 00 30 1d |........|..,...0.|
|00000220| 00 00 34 1d 00 00 38 1d | 00 00 7e 1d 00 00 82 1d |..4...8.|..~.....|
|00000230| 00 00 c8 1d 00 00 cc 1d | 00 00 48 1e 00 00 4c 1e |........|..H...L.|
|00000240| 00 00 50 1e 00 00 96 1e | 00 00 9a 1e 00 00 c8 1e |..P.....|........|
|00000250| 00 00 cc 1e 00 00 12 1f | 00 00 40 1f 00 00 92 1f |........|..@.....|
|00000260| 00 00 a8 1f 00 00 00 20 | 00 00 8a 24 00 00 8e 24 |....... |...$...$|
|00000270| 00 00 92 24 00 00 96 24 | 00 00 9a 24 00 00 9e 24 |...$...$|...$...$|
|00000280| 00 00 a2 24 00 00 a6 24 | 00 00 bc 24 00 00 d2 24 |...$...$|...$...$|
|00000290| 00 00 d6 24 00 00 da 24 | 00 00 e4 24 00 00 ee 24 |...$...$|...$...$|
|000002a0| 00 00 f2 24 00 00 08 25 | 00 00 0c 25 00 00 00 00 |...$...%|...%....|
|000002b0| 00 00 8b 01 10 25 00 00 | 34 00 44 25 00 00 30 00 |.....%..|4.D%..0.|
|000002c0| 74 25 00 00 38 00 ac 25 | 00 00 32 00 de 25 00 00 |t%..8..%|..2..%..|
|000002d0| 33 00 11 26 00 00 34 00 | 45 26 00 00 38 00 7d 26 |3..&..4.|E&..8.}&|
|000002e0| 00 00 ee 00 6b 27 00 00 | 9b 00 06 28 00 00 b0 00 |....k'..|...(....|
|000002f0| b6 28 00 00 cc 00 82 29 | 00 00 85 00 07 2a 00 00 |.(.....)|.....*..|
|00000300| c4 00 cb 2a 00 00 df 00 | aa 2b 00 00 b8 00 62 2c |...*....|.+....b,|
|00000310| 00 00 b7 00 19 2d 00 00 | 47 00 60 2d 00 00 45 00 |.....-..|G.`-..E.|
|00000320| a5 2d 00 00 49 00 ee 2d | 00 00 55 00 43 2e 00 00 |.-..I..-|..U.C...|
|00000330| 47 00 8a 2e 00 00 45 00 | cf 2e 00 00 4b 00 1a 2f |G.....E.|....K../|
|00000340| 00 00 48 00 62 2f 00 00 | 68 00 ca 2f 00 00 48 00 |..H.b/..|h../..H.|
|00000350| 12 30 00 00 49 00 5b 30 | 00 00 47 00 a2 30 00 00 |.0..I.[0|..G..0..|
|00000360| 48 00 ea 30 00 00 48 00 | 32 31 00 00 53 00 85 31 |H..0..H.|21..S..1|
|00000370| 00 00 49 00 ce 31 00 00 | 49 00 17 32 00 00 46 00 |..I..1..|I..2..F.|
|00000380| 5d 32 00 00 48 00 a5 32 | 00 00 47 00 ec 32 00 00 |]2..H..2|..G..2..|
|00000390| 3b 00 27 33 00 00 32 00 | 59 33 00 00 37 00 90 33 |;.'3..2.|Y3..7..3|
|000003a0| 00 00 33 00 c3 33 00 00 | 3c 00 ff 33 00 00 44 00 |..3..3..|<..3..D.|
|000003b0| 43 34 00 00 33 00 76 34 | 00 00 3f 00 b5 34 00 00 |C4..3.v4|..?..4..|
|000003c0| 42 00 f7 34 00 00 4e 00 | 45 35 00 00 42 00 87 35 |B..4..N.|E5..B..5|
|000003d0| 00 00 4f 00 d6 35 00 00 | 7c 00 52 36 00 00 85 00 |..O..5..||.R6....|
|000003e0| d7 36 00 00 55 00 2c 37 | 00 00 59 00 85 37 00 00 |.6..U.,7|..Y..7..|
|000003f0| 55 00 da 37 00 00 59 00 | 33 38 00 00 59 00 8c 38 |U..7..Y.|38..Y..8|
|00000400| 00 00 59 00 e5 38 00 00 | 59 00 3e 39 00 00 57 00 |..Y..8..|Y.>9..W.|
|00000410| 95 39 00 00 59 00 ee 39 | 00 00 59 00 47 3a 00 00 |.9..Y..9|..Y.G:..|
|00000420| 65 00 ac 3a 00 00 63 00 | 0f 3b 00 00 66 00 75 3b |e..:..c.|.;..f.u;|
|00000430| 00 00 63 00 d8 3b 00 00 | 64 00 3c 3c 00 00 63 00 |..c..;..|d.<<..c.|
|00000440| 9f 3c 00 00 65 00 04 3d | 00 00 64 00 68 3d 00 00 |.<..e..=|..d.h=..|
|00000450| 64 00 cc 3d 00 00 65 00 | 31 3e 00 00 3c 00 6d 3e |d..=..e.|1>..<.m>|
|00000460| 00 00 3d 00 aa 3e 00 00 | 38 00 e2 3e 00 00 3e 00 |..=..>..|8..>..>.|
|00000470| 20 3f 00 00 37 00 57 3f | 00 00 40 00 97 3f 00 00 | ?..7.W?|..@..?..|
|00000480| 43 00 da 3f 00 00 44 00 | 1e 40 00 00 39 00 57 40 |C..?..D.|.@..9.W@|
|00000490| 00 00 3e 00 95 40 00 00 | 36 00 cb 40 00 00 4a 00 |..>..@..|6..@..J.|
|000004a0| 15 41 00 00 48 00 5d 41 | 00 00 49 00 a6 41 00 00 |.A..H.]A|..I..A..|
|000004b0| 4a 00 f0 41 00 00 4a 00 | 3a 42 00 00 4b 00 85 42 |J..A..J.|:B..K..B|
|000004c0| 00 00 4a 00 cf 42 00 00 | 4b 00 1a 43 00 00 4c 00 |..J..B..|K..C..L.|
|000004d0| 66 43 00 00 4b 00 b1 43 | 00 00 bf 00 70 44 00 00 |fC..K..C|....pD..|
|000004e0| 88 00 f8 44 00 00 89 00 | 81 45 00 00 89 00 0a 46 |...D....|.E.....F|
|000004f0| 00 00 81 00 8b 46 00 00 | 98 00 23 47 00 00 98 00 |.....F..|..#G....|
|00000500| bb 47 00 00 8f 00 4a 48 | 00 00 8e 00 d8 48 00 00 |.G....JH|.....H..|
|00000510| 8e 00 66 49 00 00 96 00 | fc 49 00 00 96 00 92 4a |..fI....|.I.....J|
|00000520| 00 00 96 00 28 4b 00 00 | 8f 00 b7 4b 00 00 8d 00 |....(K..|...K....|
|00000530| 44 4c 00 00 75 00 b9 4c | 00 00 7f 00 38 4d 00 00 |DL..u..L|....8M..|
|00000540| 75 00 ad 4d 00 00 7c 00 | 29 4e 00 00 95 00 be 4e |u..M..|.|)N.....N|
|00000550| 00 00 b4 00 72 4f 00 00 | 93 00 05 50 00 00 99 00 |....rO..|...P....|
|00000560| 9e 50 00 00 99 00 37 51 | 00 00 93 00 ca 51 00 00 |.P....7Q|.....Q..|
|00000570| 5a 00 24 52 00 00 4d 00 | 71 52 00 00 48 00 b9 52 |Z.$R..M.|qR..H..R|
|00000580| 00 00 56 00 0f 53 00 00 | 59 00 68 53 00 00 50 00 |..V..S..|Y.hS..P.|
|00000590| b8 53 00 00 45 00 fd 53 | 00 00 4e 00 4b 54 00 00 |.S..E..S|..N.KT..|
|000005a0| 4f 00 9a 54 00 00 4f 00 | e9 54 00 00 75 00 5e 55 |O..T..O.|.T..u.^U|
|000005b0| 00 00 84 00 e2 55 00 00 | 87 00 69 56 00 00 86 00 |.....U..|..iV....|
|000005c0| ef 56 00 00 8b 00 7a 57 | 00 00 86 00 00 58 00 00 |.V....zW|.....X..|
|000005d0| 99 00 99 58 00 00 9b 00 | 34 59 00 00 95 00 c9 59 |...X....|4Y.....Y|
|000005e0| 00 00 9a 00 63 5a 00 00 | 9a 00 fd 5a 00 00 a8 00 |....cZ..|...Z....|
|000005f0| a5 5b 00 00 a6 00 4b 5c | 00 00 61 00 ac 5c 00 00 |.[....K\|..a..\..|
|00000600| 63 00 0f 5d 00 00 68 00 | 77 5d 00 00 62 00 d9 5d |c..]..h.|w]..b..]|
|00000610| 00 00 69 00 42 5e 00 00 | 89 00 cb 5e 00 00 87 00 |..i.B^..|...^....|
|00000620| 52 5f 00 00 84 00 d6 5f | 00 00 b8 00 8e 60 00 00 |R_....._|.....`..|
|00000630| a1 00 2f 61 00 00 a6 00 | d5 61 00 00 a8 00 7d 62 |../a....|.a....}b|
|00000640| 00 00 9f 00 1c 63 00 00 | a4 00 c0 63 00 00 89 00 |.....c..|...c....|
|00000650| 49 64 00 00 90 00 d9 64 | 00 00 78 00 51 65 00 00 |Id.....d|..x.Qe..|
|00000660| 8d 00 de 65 00 00 77 00 | 55 66 00 00 77 00 cc 66 |...e..w.|Uf..w..f|
|00000670| 00 00 84 00 50 67 00 00 | 78 00 c8 67 00 00 70 00 |....Pg..|x..g..p.|
|00000680| 38 68 00 00 8c 00 c4 68 | 00 00 9a 00 5e 69 00 00 |8h.....h|....^i..|
|00000690| 99 00 f7 69 00 00 99 00 | 90 6a 00 00 97 00 27 6b |...i....|.j....'k|
|000006a0| 00 00 9d 00 c4 6b 00 00 | a3 00 67 6c 00 00 9b 00 |.....k..|..gl....|
|000006b0| 02 6d 00 00 96 00 98 6d | 00 00 74 00 0c 6e 00 00 |.m.....m|..t..n..|
|000006c0| 7e 00 8a 6e 00 00 5b 00 | e5 6e 00 00 92 00 77 6f |~..n..[.|.n....wo|
|000006d0| 00 00 71 00 e8 6f 00 00 | 72 00 5a 70 00 00 6b 00 |..q..o..|r.Zp..k.|
|000006e0| c5 70 00 00 94 00 59 71 | 00 00 7c 00 d5 71 00 00 |.p....Yq|..|..q..|
|000006f0| 86 00 5b 72 00 00 81 00 | dc 72 00 00 78 00 54 73 |..[r....|.r..x.Ts|
|00000700| 00 00 8b 00 df 73 00 00 | 8a 00 69 74 00 00 6a 00 |.....s..|..it..j.|
|00000710| d3 74 00 00 6e 00 41 75 | 00 00 6b 00 ac 75 00 00 |.t..n.Au|..k..u..|
|00000720| 6c 00 18 76 00 00 6c 00 | 84 76 00 00 6f 00 f3 76 |l..v..l.|.v..o..v|
|00000730| 00 00 6b 00 5e 77 00 00 | 6b 00 c9 77 00 00 63 00 |..k.^w..|k..w..c.|
|00000740| 2c 78 00 00 7a 00 a6 78 | 00 00 7d 00 23 79 00 00 |,x..z..x|..}.#y..|
|00000750| 9e 00 c1 79 00 00 73 00 | 34 7a 00 00 75 00 a9 7a |...y..s.|4z..u..z|
|00000760| 00 00 73 00 1c 7b 00 00 | 78 00 94 7b 00 00 86 00 |..s..{..|x..{....|
|00000770| 1a 7c 00 00 85 00 9f 7c | 00 00 73 00 12 7d 00 00 |.|.....||..s..}..|
|00000780| 81 00 93 7d 00 00 68 00 | fb 7d 00 00 87 00 82 7e |...}..h.|.}.....~|
|00000790| 00 00 77 00 f9 7e 00 00 | 6a 00 63 7f 00 00 90 00 |..w..~..|j.c.....|
|000007a0| f3 7f 00 00 81 00 74 80 | 00 00 6f 00 e3 80 00 00 |......t.|..o.....|
|000007b0| 9c 00 7f 81 00 00 7a 00 | f9 81 00 00 6e 00 67 82 |......z.|....n.g.|
|000007c0| 00 00 94 00 fb 82 00 00 | 7c 00 77 83 00 00 82 00 |........||.w.....|
|000007d0| f9 83 00 00 73 00 6c 84 | 00 00 98 00 04 85 00 00 |....s.l.|........|
|000007e0| d0 00 d4 85 00 00 9b 00 | 6f 86 00 00 b1 00 20 87 |........|o..... .|
|000007f0| 00 00 86 00 a6 87 00 00 | 8d 00 33 88 00 00 8b 00 |........|..3.....|
|00000800| be 88 00 00 76 00 34 89 | 00 00 bd 00 f1 89 00 00 |....v.4.|........|
|00000810| af 00 a0 8a 00 00 b1 00 | 51 8b 00 00 b3 00 04 8c |........|Q.......|
|00000820| 00 00 ab 00 af 8c 00 00 | aa 00 59 8d 00 00 63 00 |........|..Y...c.|
|00000830| bc 8d 00 00 2b 00 e7 8d | 00 00 2e 00 15 8e 00 00 |....+...|........|
|00000840| 2c 00 41 8e 00 00 2e 00 | 6f 8e 00 00 2b 00 9a 8e |,.A.....|o...+...|
|00000850| 00 00 29 00 c3 8e 00 00 | 2c 00 ef 8e 00 00 2c 00 |..).....|,.....,.|
|00000860| 1b 8f 00 00 2b 00 46 8f | 00 00 2c 00 72 8f 00 00 |....+.F.|..,.r...|
|00000870| 2e 00 a0 8f 00 00 9a 00 | 3a 90 00 00 52 00 8c 90 |........|:...R...|
|00000880| 00 00 4c 00 d8 90 00 00 | 60 00 38 91 00 00 6b 00 |..L.....|`.8...k.|
|00000890| a3 91 00 00 9c 00 3f 92 | 00 00 7b 00 ba 92 00 00 |......?.|..{.....|
|000008a0| b0 00 6a 93 00 00 c1 00 | 2b 94 00 00 75 00 a0 94 |..j.....|+...u...|
|000008b0| 00 00 70 00 10 95 00 00 | 60 00 70 95 00 00 68 00 |..p.....|`.p...h.|
|000008c0| d8 95 00 00 69 00 41 96 | 00 00 53 00 94 96 00 00 |....i.A.|..S.....|
|000008d0| 60 00 f4 96 00 00 61 00 | 55 97 00 00 67 00 bc 97 |`.....a.|U...g...|
|000008e0| 00 00 67 00 23 98 00 00 | 5e 00 81 98 00 00 61 00 |..g.#...|^.....a.|
|000008f0| e2 98 00 00 63 00 45 99 | 00 00 5f 00 a4 99 00 00 |....c.E.|.._.....|
|00000900| 60 00 04 9a 00 00 61 00 | 65 9a 00 00 49 00 ae 9a |`.....a.|e...I...|
|00000910| 00 00 5d 00 0b 9b 00 00 | 85 00 90 9b 00 00 6a 00 |..].....|......j.|
|00000920| fa 9b 00 00 68 00 62 9c | 00 00 9b 00 fd 9c 00 00 |....h.b.|........|
|00000930| 62 00 5f 9d 00 00 62 00 | c1 9d 00 00 62 00 23 9e |b._...b.|....b.#.|
|00000940| 00 00 44 00 67 9e 00 00 | 4a 00 b1 9e 00 00 54 00 |..D.g...|J.....T.|
|00000950| 05 9f 00 00 5b 00 60 9f | 00 00 66 00 c6 9f 00 00 |....[.`.|..f.....|
|00000960| 66 00 2c a0 00 00 64 00 | 90 a0 00 00 68 00 f8 a0 |f.,...d.|....h...|
|00000970| 00 00 88 00 80 a1 00 00 | 3a 00 ba a1 00 00 3b 00 |........|:.....;.|
|00000980| f5 a1 00 00 3f 00 34 a2 | 00 00 3f 00 73 a2 00 00 |....?.4.|..?.s...|
|00000990| 3f 00 b2 a2 00 00 40 00 | f2 a2 00 00 4e 00 40 a3 |?.....@.|....N.@.|
|000009a0| 00 00 4e 00 8e a3 00 00 | 4c 00 da a3 00 00 44 00 |..N.....|L.....D.|
|000009b0| 1e a4 00 00 7c 00 9a a4 | 00 00 56 00 f0 a4 00 00 |....|...|..V.....|
|000009c0| 54 00 44 a5 00 00 31 00 | 75 a5 00 00 2e 00 a3 a5 |T.D...1.|u.......|
|000009d0| 00 00 2e 00 d1 a5 00 00 | 68 00 39 a6 00 00 a7 00 |........|h.9.....|
|000009e0| e0 a6 00 00 ad 00 8d a7 | 00 00 a1 00 2e a8 00 00 |........|........|
|000009f0| ba 00 e8 a8 00 00 9e 00 | 86 a9 00 00 ba 00 40 aa |........|......@.|
|00000a00| 00 00 d9 00 19 ab 00 00 | 6c 00 85 ab 00 00 6c 00 |........|l.....l.|
|00000a10| f1 ab 00 00 71 00 62 ac | 00 00 8c 00 ee ac 00 00 |....q.b.|........|
|00000a20| 92 00 80 ad 00 00 82 00 | 02 ae 00 00 81 00 83 ae |........|........|
|00000a30| 00 00 83 00 06 af 00 00 | 9e 00 a4 af 00 00 a0 00 |........|........|
|00000a40| 44 b0 00 00 93 00 d7 b0 | 00 00 98 00 6f b1 00 00 |D.......|....o...|
|00000a50| 96 00 05 b2 00 00 7c 00 | 81 b2 00 00 ad 00 2e b3 |......|.|........|
|00000a60| 00 00 78 00 a6 b3 00 00 | 52 00 f8 b3 00 00 57 00 |..x.....|R.....W.|
|00000a70| 4f b4 00 00 6e 00 bd b4 | 00 00 4e 00 0b b5 00 00 |O...n...|..N.....|
|00000a80| 4e 00 59 b5 00 00 d9 00 | 32 b6 00 00 d8 00 0a b7 |N.Y.....|2.......|
|00000a90| 00 00 d8 00 e2 b7 00 00 | d8 00 ba b8 00 00 d7 00 |........|........|
|00000aa0| 91 b9 00 00 d9 00 6a ba | 00 00 d7 00 41 bb 00 00 |......j.|....A...|
|00000ab0| d7 00 18 bc 00 00 d9 00 | f1 bc 00 00 d7 00 c8 bd |........|........|
|00000ac0| 00 00 d8 00 a0 be 00 00 | a4 00 44 bf 00 00 a3 00 |........|..D.....|
|00000ad0| e7 bf 00 00 a3 00 8a c0 | 00 00 a3 00 2d c1 00 00 |........|....-...|
|00000ae0| a2 00 cf c1 00 00 a4 00 | 73 c2 00 00 a3 00 16 c3 |........|s.......|
|00000af0| 00 00 a2 00 b8 c3 00 00 | a4 00 5c c4 00 00 a2 00 |........|..\.....|
|00000b00| fe c4 00 00 a8 00 a6 c5 | 00 00 a7 00 4d c6 00 00 |........|....M...|
|00000b10| a7 00 f4 c6 00 00 a7 00 | 9b c7 00 00 a6 00 41 c8 |........|......A.|
|00000b20| 00 00 a8 00 e9 c8 00 00 | a7 00 90 c9 00 00 a6 00 |........|........|
|00000b30| 36 ca 00 00 a8 00 de ca | 00 00 a6 00 84 cb 00 00 |6.......|........|
|00000b40| a0 00 24 cc 00 00 89 00 | ad cc 00 00 9e 00 4b cd |..$.....|......K.|
|00000b50| 00 00 90 00 db cd 00 00 | 8a 00 65 ce 00 00 a0 00 |........|..e.....|
|00000b60| 05 cf 00 00 84 00 89 cf | 00 00 83 00 0c d0 00 00 |........|........|
|00000b70| 88 00 94 d0 00 00 48 01 | dc d1 00 00 45 01 21 d3 |......H.|....E.!.|
|00000b80| 00 00 4b 01 6c d4 00 00 | 4c 01 b8 d5 00 00 48 01 |..K.l...|L.....H.|
|00000b90| 00 d7 00 00 4c 01 4c d8 | 00 00 4c 01 98 d9 00 00 |....L.L.|..L.....|
|00000ba0| 45 01 dd da 00 00 49 01 | 26 dc 00 00 45 01 6b dd |E.....I.|&...E.k.|
|00000bb0| 00 00 4b 01 b6 de 00 00 | 49 01 ff df 00 00 5a 00 |..K.....|I.....Z.|
|00000bc0| 59 e0 00 00 54 00 ad e0 | 00 00 5a 00 07 e1 00 00 |Y...T...|..Z.....|
|00000bd0| 57 00 5e e1 00 00 53 00 | b1 e1 00 00 58 00 09 e2 |W.^...S.|....X...|
|00000be0| 00 00 54 00 5d e2 00 00 | 73 00 d0 e2 00 00 71 00 |..T.]...|s.....q.|
|00000bf0| 41 e3 00 00 70 00 00 00 | 00 00 00 00 00 00 00 00 |A...p...|........|
|00000c00| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000c10| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000c20| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000c30| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000c40| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000c50| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000c60| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000c70| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|00000c80| 00 00 00 00 00 00 00 00 | 30 00 10 25 00 00 34 00 |........|0..%..4.|
|00000c90| 44 25 00 00 30 00 74 25 | 00 00 38 00 ac 25 00 00 |D%..0.t%|..8..%..|
|00000ca0| 32 00 de 25 00 00 33 00 | 11 26 00 00 34 00 45 26 |2..%..3.|.&..4.E&|
|00000cb0| 00 00 38 00 7d 26 00 00 | ee 00 6b 27 00 00 9b 00 |..8.}&..|..k'....|
|00000cc0| 06 28 00 00 b0 00 b6 28 | 00 00 cc 00 82 29 00 00 |.(.....(|.....)..|
|00000cd0| 85 00 07 2a 00 00 c4 00 | cb 2a 00 00 df 00 aa 2b |...*....|.*.....+|
|00000ce0| 00 00 b8 00 62 2c 00 00 | b7 00 19 2d 00 00 47 00 |....b,..|...-..G.|
|00000cf0| 60 2d 00 00 45 00 a5 2d | 00 00 49 00 ee 2d 00 00 |`-..E..-|..I..-..|
|00000d00| 55 00 43 2e 00 00 47 00 | 8a 2e 00 00 45 00 cf 2e |U.C...G.|....E...|
|00000d10| 00 00 4b 00 1a 2f 00 00 | 48 00 62 2f 00 00 68 00 |..K../..|H.b/..h.|
|00000d20| ca 2f 00 00 48 00 12 30 | 00 00 49 00 5b 30 00 00 |./..H..0|..I.[0..|
|00000d30| 47 00 a2 30 00 00 48 00 | ea 30 00 00 48 00 32 31 |G..0..H.|.0..H.21|
|00000d40| 00 00 53 00 85 31 00 00 | 49 00 ce 31 00 00 49 00 |..S..1..|I..1..I.|
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|00001c70| 68 00 fb 7d 00 00 87 00 | 82 7e 00 00 77 00 f9 7e |h..}....|.~..w..~|
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|00001c90| 74 80 00 00 6f 00 e3 80 | 00 00 9c 00 7f 81 00 00 |t...o...|........|
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|00001cb0| 00 00 7c 00 77 83 00 00 | 82 00 f9 83 00 00 73 00 |..|.w...|......s.|
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|00001d00| 34 89 00 00 bd 00 f1 89 | 00 00 af 00 a0 8a 00 00 |4.......|........|
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|00001d20| 00 00 aa 00 59 8d 00 00 | 63 00 00 00 00 00 0d 00 |....Y...|c.......|
|00001d30| 00 00 00 00 00 00 03 00 | 0b 00 bc 8d 00 00 2b 00 |........|......+.|
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|00001d70| 46 8f 00 00 2c 00 72 8f | 00 00 2e 00 28 6e 00 00 |F...,.r.|....(n..|
|00001d80| 00 00 0b 00 a0 8f 00 00 | 9a 00 3a 90 00 00 52 00 |........|..:...R.|
|00001d90| 8c 90 00 00 4c 00 d8 90 | 00 00 60 00 38 91 00 00 |....L...|..`.8...|
|00001da0| 6b 00 a3 91 00 00 9c 00 | 3f 92 00 00 7b 00 ba 92 |k.......|?...{...|
|00001db0| 00 00 b0 00 6a 93 00 00 | c1 00 2b 94 00 00 75 00 |....j...|..+...u.|
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|00001dd0| 00 00 60 00 70 95 00 00 | 68 00 d8 95 00 00 69 00 |..`.p...|h.....i.|
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|00001e70| b1 9e 00 00 54 00 05 9f | 00 00 5b 00 60 9f 00 00 |....T...|..[.`...|
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|00001fa0| 2e b3 00 00 78 00 00 38 | 0e 00 a6 b3 00 00 52 00 |....x..8|......R.|
|00001fb0| f8 b3 00 00 57 00 4f b4 | 00 00 6e 00 bd b4 00 00 |....W.O.|..n.....|
|00001fc0| 4e 00 0b b5 00 00 4e 00 | 84 cb 00 00 a0 00 24 cc |N.....N.|......$.|
|00001fd0| 00 00 89 00 ad cc 00 00 | 9e 00 4b cd 00 00 90 00 |........|..K.....|
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|00001ff0| 84 00 89 cf 00 00 83 00 | 0c d0 00 00 88 00 00 00 |........|........|
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|00002020| 9d e7 00 00 4b 00 e8 e7 | 00 00 55 00 3d e8 00 00 |....K...|..U.=...|
|00002030| 5a 00 97 e8 00 00 80 00 | 17 e9 00 00 30 00 47 e9 |Z.......|....0.G.|
|00002040| 00 00 54 00 9b e9 00 00 | 3e 00 d9 e9 00 00 47 00 |..T.....|>.....G.|
|00002050| 20 ea 00 00 37 00 57 ea | 00 00 6c 00 c3 ea 00 00 | ...7.W.|..l.....|
|00002060| 44 00 07 eb 00 00 63 00 | 6a eb 00 00 42 00 ac eb |D.....c.|j...B...|
|00002070| 00 00 3c 00 e8 eb 00 00 | 6e 00 56 ec 00 00 47 00 |..<.....|n.V...G.|
|00002080| 9d ec 00 00 5a 00 f7 ec | 00 00 4c 00 43 ed 00 00 |....Z...|..L.C...|
|00002090| 7e 00 c1 ed 00 00 7a 00 | 3b ee 00 00 84 00 bf ee |~.....z.|;.......|
|000020a0| 00 00 42 00 01 ef 00 00 | 55 00 56 ef 00 00 60 00 |..B.....|U.V...`.|
|000020b0| b6 ef 00 00 8c 00 42 f0 | 00 00 60 00 a2 f0 00 00 |......B.|..`.....|
|000020c0| 6d 00 0f f1 00 00 7f 00 | 8e f1 00 00 5f 00 ed f1 |m.......|...._...|
|000020d0| 00 00 57 00 44 f2 00 00 | a0 00 e4 f2 00 00 4c 00 |..W.D...|......L.|
|000020e0| 30 f3 00 00 a3 00 d3 f3 | 00 00 ad 00 80 f4 00 00 |0.......|........|
|000020f0| 8d 00 0d f5 00 00 8a 00 | 97 f5 00 00 5f 00 f6 f5 |........|...._...|
|00002100| 00 00 59 00 4f f6 00 00 | 73 00 c2 f6 00 00 66 00 |..Y.O...|s.....f.|
|00002110| 28 f7 00 00 97 00 bf f7 | 00 00 90 00 4f f8 00 00 |(.......|....O...|
|00002120| 40 00 8f f8 00 00 76 00 | 05 f9 00 00 96 00 9b f9 |@.....v.|........|
|00002130| 00 00 47 00 e2 f9 00 00 | 63 00 45 fa 00 00 74 00 |..G.....|c.E...t.|
|00002140| b9 fa 00 00 ae 00 67 fb | 00 00 47 00 ae fb 00 00 |......g.|..G.....|
|00002150| 72 00 20 fc 00 00 38 00 | 58 fc 00 00 60 00 b8 fc |r. ...8.|X...`...|
|00002160| 00 00 af 00 67 fd 00 00 | 55 00 bc fd 00 00 a8 00 |....g...|U.......|
|00002170| 64 fe 00 00 8c 00 f0 fe | 00 00 88 00 78 ff 00 00 |d.......|....x...|
|00002180| b5 00 2d 00 01 00 77 00 | a4 00 01 00 a3 00 47 01 |..-...w.|......G.|
|00002190| 01 00 8b 00 d2 01 01 00 | 6f 00 41 02 01 00 42 00 |........|o.A...B.|
|000021a0| 83 02 01 00 4b 00 ce 02 | 01 00 49 00 17 03 01 00 |....K...|..I.....|
|000021b0| 57 00 6e 03 01 00 6f 00 | dd 03 01 00 78 00 55 04 |W.n...o.|....x.U.|
|000021c0| 01 00 74 00 c9 04 01 00 | 8d 00 56 05 01 00 70 00 |..t.....|..V...p.|
|000021d0| c6 05 01 00 70 00 36 06 | 01 00 78 00 ae 06 01 00 |....p.6.|..x.....|
|000021e0| 67 00 15 07 01 00 74 00 | 89 07 01 00 7e 00 07 08 |g.....t.|....~...|
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|00002210| 57 00 ad 0a 01 00 8f 00 | 3c 0b 01 00 9d 00 d9 0b |W.......|<.......|
|00002220| 01 00 78 00 51 0c 01 00 | 65 00 b6 0c 01 00 86 00 |..x.Q...|e.......|
|00002230| 3c 0d 01 00 53 00 8f 0d | 01 00 5e 00 ed 0d 01 00 |<...S...|..^.....|
|00002240| 67 00 54 0e 01 00 93 00 | e7 0e 01 00 4a 00 31 0f |g.T.....|....J.1.|
|00002250| 01 00 41 00 72 0f 01 00 | b2 00 24 10 01 00 5b 00 |..A.r...|..$...[.|
|00002260| 7f 10 01 00 41 00 c0 10 | 01 00 b1 00 71 11 01 00 |....A...|....q...|
|00002270| 85 00 f6 11 01 00 55 00 | 4b 12 01 00 6b 00 b6 12 |......U.|K...k...|
|00002280| 01 00 7e 00 34 13 01 00 | 9f 00 d3 13 01 00 8a 00 |..~.4...|........|
|00002290| 5d 14 01 00 7e 00 db 14 | 01 00 60 00 3b 15 01 00 |]...~...|..`.;...|
|000022a0| 6b 00 a6 15 01 00 77 00 | 1d 16 01 00 59 00 76 16 |k.....w.|....Y.v.|
|000022b0| 01 00 6a 00 e0 16 01 00 | 64 00 44 17 01 00 78 00 |..j.....|d.D...x.|
|000022c0| bc 17 01 00 8e 00 4a 18 | 01 00 87 00 d1 18 01 00 |......J.|........|
|000022d0| a1 00 72 19 01 00 8f 00 | 01 1a 01 00 62 00 63 1a |..r.....|....b.c.|
|000022e0| 01 00 65 00 c8 1a 01 00 | 7d 00 45 1b 01 00 97 00 |..e.....|}.E.....|
|000022f0| dc 1b 01 00 59 00 35 1c | 01 00 6c 00 a1 1c 01 00 |....Y.5.|..l.....|
|00002300| 73 00 14 1d 01 00 5c 00 | 70 1d 01 00 5c 00 cc 1d |s.....\.|p...\...|
|00002310| 01 00 64 00 30 1e 01 00 | 42 00 72 1e 01 00 48 00 |..d.0...|B.r...H.|
|00002320| ba 1e 01 00 40 00 fa 1e | 01 00 68 00 62 1f 01 00 |....@...|..h.b...|
|00002330| 71 00 d3 1f 01 00 55 00 | 28 20 01 00 43 00 6b 20 |q.....U.|( ..C.k |
|00002340| 01 00 69 00 d4 20 01 00 | 62 00 36 21 01 00 68 00 |..i.. ..|b.6!..h.|
|00002350| 9e 21 01 00 88 00 26 22 | 01 00 88 00 ae 22 01 00 |.!....&"|....."..|
|00002360| 65 00 13 23 01 00 5a 00 | 6d 23 01 00 65 00 d2 23 |e..#..Z.|m#..e..#|
|00002370| 01 00 70 00 42 24 01 00 | 5a 00 9c 24 01 00 56 00 |..p.B$..|Z..$..V.|
|00002380| f2 24 01 00 6d 00 5f 25 | 01 00 a8 00 07 26 01 00 |.$..m._%|.....&..|
|00002390| 69 00 70 26 01 00 59 00 | c9 26 01 00 58 00 21 27 |i.p&..Y.|.&..X.!'|
|000023a0| 01 00 74 00 95 27 01 00 | 6a 00 ff 27 01 00 68 00 |..t..'..|j..'..h.|
|000023b0| 67 28 01 00 67 00 ce 28 | 01 00 99 00 67 29 01 00 |g(..g..(|....g)..|
|000023c0| 47 00 ae 29 01 00 4b 00 | f9 29 01 00 6c 00 65 2a |G..)..K.|.)..l.e*|
|000023d0| 01 00 63 00 c8 2a 01 00 | 90 00 58 2b 01 00 58 00 |..c..*..|..X+..X.|
|000023e0| b0 2b 01 00 51 00 01 2c | 01 00 5b 00 5c 2c 01 00 |.+..Q..,|..[.\,..|
|000023f0| 88 00 e4 2c 01 00 6f 00 | 53 2d 01 00 7c 00 cf 2d |...,..o.|S-..|..-|
|00002400| 01 00 5e 00 2d 2e 01 00 | 60 00 8d 2e 01 00 61 00 |..^.-...|`.....a.|
|00002410| ee 2e 01 00 79 00 67 2f | 01 00 58 00 bf 2f 01 00 |....y.g/|..X../..|
|00002420| 69 00 28 30 01 00 59 00 | 81 30 01 00 43 00 c4 30 |i.(0..Y.|.0..C..0|
|00002430| 01 00 5a 00 1e 31 01 00 | 7a 00 98 31 01 00 78 00 |..Z..1..|z..1..x.|
|00002440| 10 32 01 00 53 00 63 32 | 01 00 45 00 a8 32 01 00 |.2..S.c2|..E..2..|
|00002450| 53 00 fb 32 01 00 3b 00 | 36 33 01 00 3f 00 75 33 |S..2..;.|63..?.u3|
|00002460| 01 00 3e 00 b3 33 01 00 | 46 00 f9 33 01 00 83 00 |..>..3..|F..3....|
|00002470| 7c 34 01 00 66 00 e2 34 | 01 00 6d 00 4f 35 01 00 ||4..f..4|..m.O5..|
|00002480| 43 00 92 35 01 00 37 00 | 00 35 00 00 00 00 00 00 |C..5..7.|.5......|
|00002490| 00 00 00 00 00 00 00 00 | 00 00 00 00 00 00 00 00 |........|........|
|000024a0| 00 00 00 00 00 00 03 00 | d7 e4 00 00 27 00 fe e4 |........|....'...|
|000024b0| 00 00 27 00 25 e5 00 00 | 27 00 00 38 03 00 4c e5 |..'.%...|'..8..L.|
|000024c0| 00 00 27 00 73 e5 00 00 | 27 00 9a e5 00 00 27 00 |..'.s...|'.....'.|
|000024d0| 00 38 00 00 00 00 00 00 | 00 00 01 00 c1 e5 00 00 |.8......|........|
|000024e0| 28 00 00 36 01 00 e9 e5 | 00 00 28 00 00 36 00 00 |(..6....|..(..6..|
|000024f0| 00 00 03 00 b1 e3 00 00 | 62 00 13 e4 00 00 62 00 |........|b.....b.|
|00002500| 75 e4 00 00 62 00 00 38 | 00 00 00 00 00 00 00 00 |u...b..8|........|
|00002510| 00 00 00 00 00 00 00 00 | 00 00 02 00 5e 00 34 09 |........|....^.4.|
|00002520| 32 21 09 31 32 30 09 31 | 35 09 30 09 57 68 61 74 |2!.120.1|5.0.What|
|00002530| 20 69 73 20 33 21 20 78 | 20 35 21 20 2d 20 36 21 | is 3! x| 5! - 6!|
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|00002550| 5e 00 32 09 32 34 09 32 | 35 09 31 32 30 09 32 30 |^.2.24.2|5.120.20|
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|00002570| 3f 09 30 09 00 00 00 00 | 00 00 00 00 00 00 02 00 |?.0.....|........|
|00002580| 5e 00 33 09 31 30 21 09 | 35 30 31 34 09 31 37 32 |^.3.10!.|5014.172|
|00002590| 38 30 09 31 37 31 30 30 | 09 57 68 61 74 20 69 73 |80.17100|.What is|
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|000025c0| 31 31 34 09 32 35 36 09 | 37 31 34 09 57 68 61 74 |114.256.|714.What|
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|000025f0| 21 09 38 32 30 09 38 34 | 30 09 36 35 21 09 57 68 |!.820.84|0.65!.Wh|
|00002600| 61 74 20 69 73 20 36 21 | 20 2b 20 35 21 3f 09 30 |at is 6!| + 5!?.0|
|00002610| 09 00 00 00 00 00 00 00 | 00 00 00 02 00 5e 00 31 |........|.....^.1|
|00002620| 09 35 30 31 36 09 36 39 | 36 09 33 21 09 35 30 34 |.5016.69|6.3!.504|
|00002630| 30 09 57 68 61 74 20 69 | 73 20 37 21 20 2d 20 34 |0.What i|s 7! - 4|
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|00002650| 00 5e 00 32 09 34 30 33 | 32 30 09 33 35 32 38 30 |.^.2.403|20.35280|
|00002660| 09 31 37 32 38 30 09 31 | 21 09 57 68 61 74 20 69 |.17280.1|!.What i|
|00002670| 73 20 38 21 20 2d 20 37 | 21 3f 09 30 09 00 00 00 |s 8! - 7|!?.0....|
|00002680| 00 00 00 00 00 00 00 02 | 00 00 00 32 09 31 30 28 |........|...2.10(|
|00002690| 51 2b 4e 29 20 3d 20 54 | 20 2b 20 32 35 51 09 31 |Q+N) = T| + 25Q.1|
|000026a0| 30 28 4e 2d 51 29 20 2b | 20 32 35 51 20 3d 20 54 |0(N-Q) +| 25Q = T|
|000026b0| 09 31 30 51 20 2b 20 32 | 35 28 4e 2d 51 29 20 3d |.10Q + 2|5(N-Q) =|
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|000026d0| 20 3d 20 54 09 41 20 63 | 6f 69 6e 20 63 6f 6c 6c | = T.A c|oin coll|
|000026e0| 65 63 74 69 6f 6e 20 68 | 61 73 20 4e 20 63 6f 69 |ection h|as N coi|
|000026f0| 6e 73 20 69 6e 20 64 69 | 6d 65 73 28 44 29 20 61 |ns in di|mes(D) a|
|00002700| 6e 64 20 71 75 61 72 74 | 65 72 73 20 28 51 29 2e |nd quart|ers (Q).|
|00002710| 20 49 74 73 20 74 6f 74 | 61 6c 20 66 61 63 65 20 | Its tot|al face |
|00002720| 76 61 6c 75 65 20 69 73 | 20 54 2e 20 57 68 69 63 |value is| T. Whic|
|00002730| 68 20 65 71 75 61 74 69 | 6f 6e 20 77 6f 75 6c 64 |h equati|on would|
|00002740| 20 79 6f 75 20 75 73 65 | 20 74 6f 20 66 69 6e 64 | you use| to find|
|00002750| 20 74 68 65 20 6e 75 6d | 62 65 72 20 6f 66 20 71 | the num|ber of q|
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|000027b0| 37 41 2b 37 09 54 68 65 | 20 61 76 65 72 61 67 65 |7A+7.The| average|
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|000027d0| 73 20 41 2b 35 2e 20 57 | 68 69 63 68 20 65 71 75 |s A+5. W|hich equ|
|000027e0| 61 74 69 6f 6e 20 77 6f | 75 6c 64 20 79 6f 75 20 |ation wo|uld you |
|000027f0| 75 73 65 20 74 6f 20 73 | 6f 6c 76 65 20 66 6f 72 |use to s|olve for|
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|00002820| 2b 34 72 2f 33 29 aa 09 | 34 b9 72 aa 2f 33 09 b9 |+4r/3)..|4.r./3..|
|00002830| 72 aa 28 68 2b 34 72 2f | 33 29 09 41 20 63 79 6c |r.(h+4r/|3).A cyl|
|00002840| 69 6e 64 65 72 27 73 20 | 68 65 69 67 68 74 20 28 |inder's |height (|
|00002850| 68 29 20 69 73 20 69 6e | 63 72 65 61 73 65 64 20 |h) is in|creased |
|00002860| 62 79 20 61 20 6c 65 6e | 67 74 68 20 74 68 61 74 |by a len|gth that|
|00002870| 20 69 73 20 20 34 2f 33 | 20 69 74 73 20 72 61 64 | is 4/3| its rad|
|00002880| 69 75 73 20 28 72 29 2e | 20 57 68 69 63 68 20 65 |ius (r).| Which e|
|00002890| 78 70 72 65 73 73 65 73 | 20 74 68 65 20 63 79 6c |xpresses| the cyl|
|000028a0| 69 6e 64 65 72 27 73 20 | 6e 65 77 20 76 6f 6c 75 |inder's |new volu|
|000028b0| 6d 65 3f 09 30 09 00 00 | 00 00 00 00 00 00 00 00 |me?.0...|........|
|000028c0| 02 00 2a 00 32 09 32 b9 | 72 68 20 2d 20 73 aa 09 |..*.2.2.|rh - s..|
|000028d0| b9 72 aa 68 20 2d 20 73 | a3 09 b9 72 68 20 2b 20 |.r.h - s|...rh + |
|000028e0| 73 aa 09 b9 72 68 20 2d | 20 73 a3 09 41 6e 20 69 |s...rh -| s..An i|
|000028f0| 63 65 20 63 75 62 65 20 | 28 77 69 74 68 20 73 69 |ce cube |(with si|
|00002900| 64 65 20 73 29 20 69 73 | 20 61 64 64 65 64 20 74 |de s) is| added t|
|00002910| 6f 20 61 20 63 79 6c 69 | 6e 64 65 72 20 28 77 69 |o a cyli|nder (wi|
|00002920| 74 68 20 72 61 64 69 75 | 73 20 72 2c 20 68 65 69 |th radiu|s r, hei|
|00002930| 67 68 74 20 68 29 20 66 | 75 6c 6c 20 6f 66 20 6a |ght h) f|ull of j|
|00002940| 75 69 63 65 2e 20 57 68 | 69 63 68 20 65 78 70 72 |uice. Wh|ich expr|
|00002950| 65 73 73 65 73 20 74 68 | 65 20 76 6f 6c 75 6d 65 |esses th|e volume|
|00002960| 20 6f 66 20 6a 75 69 63 | 65 20 6c 65 66 74 20 69 | of juic|e left i|
|00002970| 6e 20 74 68 65 20 63 79 | 6c 69 6e 64 65 72 3f 09 |n the cy|linder?.|
|00002980| 30 09 00 00 00 00 00 00 | 00 00 00 00 02 00 48 00 |0.......|......H.|
|00002990| 31 09 35 51 20 2b 20 32 | 44 09 51 2f 35 20 2b 20 |1.5Q + 2|D.Q/5 + |
|000029a0| 44 2f 32 09 35 28 51 20 | 2b 20 44 29 09 51 2f 32 |D/2.5(Q |+ D).Q/2|
|000029b0| 35 20 2b 20 44 2f 31 30 | 09 57 68 69 63 68 20 73 |5 + D/10|.Which s|
|000029c0| 68 6f 77 73 20 74 68 65 | 20 6e 75 6d 62 65 72 20 |hows the| number |
|000029d0| 6f 66 20 6e 69 63 6b 65 | 6c 73 20 74 68 61 74 20 |of nicke|ls that |
|000029e0| 61 72 65 20 65 71 75 61 | 6c 20 74 6f 20 51 20 71 |are equa|l to Q q|
|000029f0| 75 61 72 74 65 72 73 20 | 61 6e 64 20 44 20 64 69 |uarters |and D di|
|00002a00| 6d 65 73 3f 09 30 09 00 | 00 00 00 00 00 00 00 00 |mes?.0..|........|
|00002a10| 00 02 00 5e 00 33 09 31 | 32 2d 6f 7a 2e 09 32 30 |...^.3.1|2-oz..20|
|00002a20| 2d 6f 7a 2e 09 32 35 2d | 6f 7a 2e 09 75 6e 69 74 |-oz..25-|oz..unit|
|00002a30| 20 63 6f 73 74 73 20 61 | 72 65 20 65 71 75 61 6c | costs a|re equal|
|00002a40| 09 41 20 67 6f 75 72 6d | 65 74 20 73 61 75 73 61 |.A gourm|et sausa|
|00002a50| 67 65 20 63 6f 73 74 73 | 20 24 32 2e 32 35 20 66 |ge costs| $2.25 f|
|00002a60| 6f 72 20 74 68 65 20 31 | 32 2d 6f 7a 2e 20 73 69 |or the 1|2-oz. si|
|00002a70| 7a 65 2c 20 24 33 2e 36 | 30 20 66 6f 72 20 74 68 |ze, $3.6|0 for th|
|00002a80| 65 20 32 30 2d 6f 7a 2c | 20 61 6e 64 20 24 34 2e |e 20-oz,| and $4.|
|00002a90| 37 35 20 66 6f 72 20 74 | 68 65 20 32 35 2d 6f 7a |75 for t|he 25-oz|
|00002aa0| 2e 20 20 57 68 69 63 68 | 20 73 69 7a 65 20 68 61 |. Which| size ha|
|00002ab0| 73 20 74 68 65 20 68 69 | 67 68 65 73 74 20 75 6e |s the hi|ghest un|
|00002ac0| 69 74 20 63 6f 73 74 3f | 09 30 09 00 00 00 00 00 |it cost?|.0......|
|00002ad0| 00 00 00 00 00 02 00 5e | 00 31 09 30 2e 32 38 28 |.......^|.1.0.28(|
|00002ae0| 30 2e 33 33 49 29 09 28 | 30 2e 32 38 2f 30 2e 33 |0.33I).(|0.28/0.3|
|00002af0| 33 29 49 09 28 30 2e 32 | 38 20 2b 20 30 2e 33 33 |3)I.(0.2|8 + 0.33|
|00002b00| 29 49 09 30 2e 32 38 28 | 33 33 49 29 09 54 68 65 |)I.0.28(|33I).The|
|00002b10| 20 67 6f 76 65 72 6e 6d | 65 6e 74 20 74 61 6b 65 | governm|ent take|
|00002b20| 73 20 33 33 25 20 6f 66 | 20 4c 69 73 61 27 73 20 |s 33% of| Lisa's |
|00002b30| 69 6e 63 6f 6d 65 20 28 | 49 29 20 69 6e 20 74 61 |income (|I) in ta|
|00002b40| 78 65 73 3b 20 6f 66 20 | 74 68 61 74 2c 20 32 38 |xes; of |that, 28|
|00002b50| 25 20 67 6f 65 73 20 74 | 6f 20 68 65 61 6c 74 68 |% goes t|o health|
|00002b60| 20 63 61 72 65 2e 20 57 | 68 69 63 68 20 73 68 6f | care. W|hich sho|
|00002b70| 77 73 20 74 68 65 20 70 | 6f 72 74 69 6f 6e 20 6f |ws the p|ortion o|
|00002b80| 66 20 68 65 72 20 69 6e | 63 6f 6d 65 20 74 68 61 |f her in|come tha|
|00002b90| 74 20 70 61 79 73 20 66 | 6f 72 20 68 65 61 6c 74 |t pays f|or healt|
|00002ba0| 68 20 63 61 72 65 3f 09 | 30 09 00 00 00 00 00 00 |h care?.|0.......|
|00002bb0| 00 00 00 00 02 00 3d 00 | 34 09 24 30 2e 30 32 09 |......=.|4.$0.02.|
|00002bc0| 24 30 2e 31 32 09 24 30 | 2e 30 36 09 24 30 2e 30 |$0.12.$0|.06.$0.0|
|00002bd0| 34 09 54 68 65 20 6c 6f | 63 61 6c 20 70 69 7a 7a |4.The lo|cal pizz|
|00002be0| 61 20 70 61 72 6c 6f 75 | 72 20 6f 66 66 65 72 73 |a parlou|r offers|
|00002bf0| 20 61 20 31 32 22 20 70 | 69 7a 7a 61 20 66 6f 72 | a 12" p|izza for|
|00002c00| 20 24 39 2e 39 39 20 61 | 6e 64 20 61 6e 20 31 38 | $9.99 a|nd an 18|
|00002c10| 22 20 70 69 7a 7a 61 20 | 66 6f 72 20 24 31 32 2e |" pizza |for $12.|
|00002c20| 39 39 2e 20 41 62 6f 75 | 74 20 68 6f 77 20 6d 75 |99. Abou|t how mu|
|00002c30| 63 68 20 63 68 65 61 70 | 65 72 20 70 65 72 20 73 |ch cheap|er per s|
|00002c40| 71 75 61 72 65 20 69 6e | 63 68 20 69 73 20 74 68 |quare in|ch is th|
|00002c50| 65 20 31 38 2d 69 6e 63 | 68 20 73 69 7a 65 3f 09 |e 18-inc|h size?.|
|00002c60| 30 09 00 00 00 00 00 00 | 00 00 00 00 02 00 3d 00 |0.......|......=.|
|00002c70| 32 09 31 38 22 20 70 69 | 7a 7a 61 09 31 27 20 62 |2.18" pi|zza.1' b|
|00002c80| 79 20 32 27 20 70 69 7a | 7a 61 09 73 61 6d 65 20 |y 2' piz|za.same |
|00002c90| 76 61 6c 75 65 09 64 6f | 6e 27 74 20 6c 69 6b 65 |value.do|n't like|
|00002ca0| 20 70 69 7a 7a 61 09 54 | 68 65 20 6c 6f 63 61 6c | pizza.T|he local|
|00002cb0| 20 70 69 7a 7a 61 20 70 | 61 72 6c 6f 75 72 20 6f | pizza p|arlour o|
|00002cc0| 66 66 65 72 73 20 61 20 | 31 38 22 20 70 69 7a 7a |ffers a |18" pizz|
|00002cd0| 61 20 66 6f 72 20 24 31 | 31 2e 39 39 20 61 6e 64 |a for $1|1.99 and|
|00002ce0| 20 61 20 31 27 20 62 79 | 20 32 27 20 70 69 7a 7a | a 1' by| 2' pizz|
|00002cf0| 61 20 66 6f 72 20 24 31 | 32 2e 39 39 2e 20 57 68 |a for $1|2.99. Wh|
|00002d00| 69 63 68 20 69 73 20 74 | 68 65 20 62 65 74 74 65 |ich is t|he bette|
|00002d10| 72 20 62 75 79 3f 09 30 | 09 00 00 00 00 00 00 00 |r buy?.0|........|
|00002d20| 00 00 00 02 00 5e 00 33 | 09 31 35 09 32 31 09 39 |.....^.3|.15.21.9|
|00002d30| 09 33 09 31 31 32 35 81 | 20 32 32 35 81 20 34 35 |.3.1125.| 225. 45|
|00002d40| 2e 2e 2e 20 20 57 68 61 | 74 20 69 73 20 74 68 65 |... Wha|t is the|
|00002d50| 20 6e 65 78 74 20 6e 75 | 6d 62 65 72 3f 09 30 09 | next nu|mber?.0.|
|00002d60| 00 00 00 00 00 00 00 00 | 00 00 02 00 5e 00 33 09 |........|....^.3.|
|00002d70| 31 38 09 32 30 09 31 39 | 09 32 36 09 31 31 81 20 |18.20.19|.26.11. |
|00002d80| 31 33 81 20 31 37 2e 2e | 2e 20 57 68 61 74 20 69 |13. 17..|. What i|
|00002d90| 73 20 74 68 65 20 6e 65 | 78 74 20 6e 75 6d 62 65 |s the ne|xt numbe|
|00002da0| 72 3f 09 30 09 00 00 00 | 00 00 00 00 00 00 00 02 |r?.0....|........|
|00002db0| 00 5e 00 33 09 32 34 09 | 33 32 09 31 32 09 31 36 |.^.3.24.|32.12.16|
|00002dc0| 09 31 35 30 30 81 20 33 | 30 30 81 20 36 30 2e 2e |.1500. 3|00. 60..|
|00002dd0| 2e 20 20 57 68 61 74 20 | 69 73 20 74 68 65 20 6e |. What |is the n|
|00002de0| 65 78 74 20 6e 75 6d 62 | 65 72 3f 09 30 09 00 00 |ext numb|er?.0...|
|00002df0| 00 00 00 00 00 00 00 00 | 02 00 5e 00 31 09 37 81 |........|..^.1.7.|
|00002e00| 31 37 30 09 34 81 36 35 | 30 09 35 81 30 30 30 09 |170.4.65|0.5.000.|
|00002e10| 31 31 81 35 37 35 09 31 | 35 81 20 34 30 30 81 20 |11.575.1|5. 400. |
|00002e20| 32 33 32 35 2e 2e 2e 20 | 57 68 61 74 20 69 73 20 |2325... |What is |
|00002e30| 74 68 65 20 6e 65 78 74 | 20 6e 75 6d 62 65 72 3f |the next| number?|
|00002e40| 09 30 09 00 00 00 00 00 | 00 00 00 00 00 02 00 5e |.0......|.......^|
|00002e50| 00 31 09 39 09 31 38 09 | 34 09 32 34 09 31 39 34 |.1.9.18.|4.24.194|
|00002e60| 34 81 20 33 32 34 81 20 | 35 34 2e 2e 2e 20 20 57 |4. 324. |54... W|
|00002e70| 68 61 74 20 69 73 20 74 | 68 65 20 6e 65 78 74 20 |hat is t|he next |
|00002e80| 6e 75 6d 62 65 72 3f 09 | 30 09 00 00 00 00 00 00 |number?.|0.......|
|00002e90| 00 00 00 00 02 00 5e 00 | 31 09 31 39 09 32 37 09 |......^.|1.19.27.|
|00002ea0| 33 36 09 39 36 09 32 aa | 81 20 33 aa 81 20 31 34 |36.96.2.|. 3.. 14|
|00002eb0| 2e 2e 2e 20 57 68 61 74 | 20 69 73 20 74 68 65 20 |... What| is the |
|00002ec0| 6e 65 78 74 20 6e 75 6d | 62 65 72 3f 09 30 09 00 |next num|ber?.0..|
|00002ed0| 00 00 00 00 00 00 00 00 | 00 02 00 5e 00 32 09 2d |........|...^.2.-|
|00002ee0| 31 38 09 31 31 09 31 36 | 09 31 34 09 7c 2d 32 7c |18.11.16|.14.|-2||
|00002ef0| 81 20 7c 35 7c 81 20 7c | 2d 38 7c 2e 2e 2e 20 57 |. |5|. ||-8|... W|
|00002f00| 68 61 74 20 69 73 20 74 | 68 65 20 6e 65 78 74 20 |hat is t|he next |
|00002f10| 6e 75 6d 62 65 72 3f 09 | 30 09 00 00 00 00 00 00 |number?.|0.......|
|00002f20| 00 00 00 00 02 00 5e 00 | 31 09 31 31 09 33 33 09 |......^.|1.11.33.|
|00002f30| 31 35 09 36 09 32 33 37 | 36 81 20 33 39 36 81 20 |15.6.237|6. 396. |
|00002f40| 36 36 2e 2e 2e 20 20 57 | 68 61 74 20 69 73 20 74 |66... W|hat is t|
|00002f50| 68 65 20 6e 65 78 74 20 | 6e 75 6d 62 65 72 3f 09 |he next |number?.|
|00002f60| 30 09 00 00 00 00 00 00 | 00 00 00 00 02 00 5e 00 |0.......|......^.|
|00002f70| 34 09 32 32 09 39 34 62 | 61 73 65 32 09 31 32 62 |4.22.94b|ase2.12b|
|00002f80| 61 73 65 32 30 09 61 6c | 6c 20 6f 66 20 74 68 65 |ase20.al|l of the|
|00002f90| 20 61 62 6f 76 65 09 32 | 34 62 61 73 65 36 81 20 | above.2|4base6. |
|00002fa0| 31 38 81 20 33 32 62 61 | 73 65 36 2e 2e 2e 20 57 |18. 32ba|se6... W|
|00002fb0| 68 61 74 20 69 73 20 74 | 68 65 20 6e 65 78 74 20 |hat is t|he next |
|00002fc0| 6e 75 6d 62 65 72 3f 09 | 30 09 00 00 00 00 00 00 |number?.|0.......|
|00002fd0| 00 00 00 00 02 00 5e 00 | 31 09 38 09 33 32 09 32 |......^.|1.8.32.2|
|00002fe0| 34 09 31 38 09 32 37 34 | 34 81 20 33 39 32 81 20 |4.18.274|4. 392. |
|00002ff0| 35 36 2e 2e 2e 20 20 57 | 68 61 74 20 69 73 20 74 |56... W|hat is t|
|00003000| 68 65 20 6e 65 78 74 20 | 6e 75 6d 62 65 72 3f 09 |he next |number?.|
|00003010| 30 09 00 00 00 00 00 00 | 00 00 00 00 02 00 5e 00 |0.......|......^.|
|00003020| 33 09 31 35 47 09 31 36 | 47 09 36 33 47 09 33 32 |3.15G.16|G.63G.32|
|00003030| 47 09 32 41 81 20 33 43 | 81 20 38 45 2e 2e 2e 20 |G.2A. 3C|. 8E... |
|00003040| 57 68 61 74 20 69 73 20 | 74 68 65 20 6e 65 78 74 |What is |the next|
|00003050| 20 6e 75 6d 62 65 72 3f | 09 30 09 00 00 00 00 00 | number?|.0......|
|00003060| 00 00 00 00 00 02 00 5f | 00 32 09 32 31 09 31 32 |......._|.2.21.12|
|00003070| 09 36 09 31 38 09 33 32 | 34 81 20 31 30 38 81 20 |.6.18.32|4. 108. |
|00003080| 33 36 2e 2e 2e 20 20 57 | 68 61 74 20 69 73 20 74 |36... W|hat is t|
|00003090| 68 65 20 6e 65 78 74 20 | 6e 75 6d 62 65 72 3f 09 |he next |number?.|
|000030a0| 30 09 00 00 00 00 00 00 | 00 00 00 00 02 00 60 00 |0.......|......`.|
|000030b0| 31 09 37 09 32 34 09 31 | 35 09 31 31 09 33 35 38 |1.7.24.1|5.11.358|
|000030c0| 34 81 20 34 34 38 81 20 | 35 36 2e 2e 2e 20 20 57 |4. 448. |56... W|
|000030d0| 68 61 74 20 69 73 20 74 | 68 65 20 6e 65 78 74 20 |hat is t|he next |
|000030e0| 6e 75 6d 62 65 72 3f 09 | 30 09 00 00 00 00 00 00 |number?.|0.......|
|000030f0| 00 00 00 00 02 00 60 00 | 33 09 36 09 32 34 09 31 |......`.|3.6.24.1|
|00003100| 32 09 33 36 09 34 31 31 | 36 81 20 35 38 38 81 20 |2.36.411|6. 588. |
|00003110| 38 34 2e 2e 2e 20 20 57 | 68 61 74 20 69 73 20 74 |84... W|hat is t|
|00003120| 68 65 20 6e 65 78 74 20 | 6e 75 6d 62 65 72 3f 09 |he next |number?.|
|00003130| 30 09 00 00 00 00 00 00 | 00 00 00 00 02 00 60 00 |0.......|......`.|
|00003140| 32 09 36 34 33 09 33 36 | 39 2e 37 35 09 32 37 37 |2.643.36|9.75.277|
|00003150| 2e 35 09 34 33 37 2e 37 | 35 09 34 81 20 38 31 81 |.5.437.7|5.4. 81.|
|00003160| 20 31 39 36 2e 35 2e 2e | 2e 20 57 68 61 74 20 69 | 196.5..|. What i|
|00003170| 73 20 74 68 65 20 6e 65 | 78 74 20 6e 75 6d 62 65 |s the ne|xt numbe|
|00003180| 72 3f 09 30 09 00 00 00 | 00 00 00 00 00 00 00 02 |r?.0....|........|
|00003190| 00 60 00 33 09 33 33 09 | 32 34 09 31 31 09 33 36 |.`.3.33.|24.11.36|
|000031a0| 09 35 36 33 32 81 20 37 | 30 34 81 20 38 38 2e 2e |.5632. 7|04. 88..|
|000031b0| 2e 20 20 57 68 61 74 20 | 69 73 20 74 68 65 20 6e |. What |is the n|
|000031c0| 65 78 74 20 6e 75 6d 62 | 65 72 3f 09 30 09 00 00 |ext numb|er?.0...|
|000031d0| 00 00 00 00 00 00 00 00 | 02 00 60 00 34 09 34 34 |........|..`.4.44|
|000031e0| 09 33 36 09 32 34 09 31 | 32 09 36 31 34 34 81 20 |.36.24.1|2.6144. |
|000031f0| 37 36 38 81 20 39 36 2e | 2e 2e 20 20 57 68 61 74 |768. 96.|.. What|
|00003200| 20 69 73 20 74 68 65 20 | 6e 65 78 74 20 6e 75 6d | is the |next num|
|00003210| 62 65 72 3f 09 30 09 00 | 00 00 00 00 00 00 00 00 |ber?.0..|........|
|00003220| 00 02 00 5f 00 31 09 34 | 38 09 2d 33 36 09 34 32 |..._.1.4|8.-36.42|
|00003230| 09 33 32 09 2d 36 81 20 | 31 32 81 20 2d 34 2e 2e |.32.-6. |12. -4..|
|00003240| 2e 20 57 68 61 74 20 69 | 73 20 74 68 65 20 6e 65 |. What i|s the ne|
|00003250| 78 74 20 6e 75 6d 62 65 | 72 3f 09 30 09 00 00 00 |xt numbe|r?.0....|
|00003260| 00 00 00 00 00 00 00 02 | 00 60 00 31 09 31 31 09 |........|.`.1.11.|
|00003270| 31 35 09 32 36 09 31 37 | 09 37 30 34 81 20 31 37 |15.26.17|.704. 17|
|00003280| 36 81 20 34 34 2e 2e 2e | 20 20 57 68 61 74 20 69 |6. 44...| What i|
|00003290| 73 20 74 68 65 20 6e 65 | 78 74 20 6e 75 6d 62 65 |s the ne|xt numbe|
|000032a0| 72 3f 09 30 09 00 00 00 | 00 00 00 00 00 00 00 02 |r?.0....|........|
|000032b0| 00 60 00 33 09 33 32 09 | 32 34 09 31 34 09 36 09 |.`.3.32.|24.14.6.|
|000032c0| 38 39 36 81 20 32 32 34 | 81 20 35 36 2e 2e 2e 20 |896. 224|. 56... |
|000032d0| 20 57 68 61 74 20 69 73 | 20 74 68 65 20 6e 65 78 | What is| the nex|
|000032e0| 74 20 6e 75 6d 62 65 72 | 3f 09 30 09 00 00 00 00 |t number|?.0.....|
|000032f0| 00 00 00 00 00 00 02 00 | 5f 00 33 09 31 09 30 09 |........|_.3.1.0.|
|00003300| 32 2e 37 32 09 75 6e 64 | 65 66 69 6e 65 64 09 53 |2.72.und|efined.S|
|00003310| 6f 6c 76 65 20 66 6f 72 | 20 78 3a 20 6c 6e 20 78 |olve for| x: ln x|
|00003320| 20 3d 20 31 09 30 09 00 | 00 00 00 00 00 00 00 00 | = 1.0..|........|
|00003330| 00 02 00 5f 00 33 09 30 | 09 2d 34 09 31 09 34 09 |..._.3.0|.-4.1.4.|
|00003340| 53 6f 6c 76 65 20 66 6f | 72 20 78 3a 20 6c 6f 67 |Solve fo|r x: log|
|00003350| dd 78 20 3d 20 30 09 30 | 09 00 00 00 00 00 00 00 |.x = 0.0|........|
|00003360| 00 00 00 02 00 5f 00 32 | 09 2d 34 09 31 2f 34 09 |....._.2|.-4.1/4.|
|00003370| 31 2f 32 09 31 09 53 6f | 6c 76 65 20 66 6f 72 20 |1/2.1.So|lve for |
|00003380| 78 3a 20 6c 6f 67 db 78 | 20 3d 20 2d 32 09 30 09 |x: log.x| = -2.0.|
|00003390| 00 00 00 00 00 00 00 00 | 00 00 02 00 5f 00 34 09 |........|...._.4.|
|000033a0| 39 09 2d 33 09 30 09 32 | 37 09 53 6f 6c 76 65 20 |9.-3.0.2|7.Solve |
|000033b0| 66 6f 72 20 78 3a 20 6c | 6f 67 dc 78 20 3d 20 33 |for x: l|og.x = 3|
|000033c0| 09 30 09 00 00 00 00 00 | 00 00 00 00 00 02 00 5f |.0......|......._|
|000033d0| 00 34 09 31 32 35 09 2d | 35 09 2d 31 32 35 09 31 |.4.125.-|5.-125.1|
|000033e0| 2f 31 32 35 09 53 6f 6c | 76 65 20 66 6f 72 20 78 |/125.Sol|ve for x|
|000033f0| 3a 20 6c 6f 67 de 78 20 | 3d 20 2d 33 09 30 09 00 |: log.x |= -3.0..|
|00003400| 00 00 00 00 00 00 00 00 | 00 02 00 5f 00 34 09 33 |........|..._.4.3|
|00003410| 20 31 2f 33 09 75 6e 64 | 65 66 69 6e 65 64 09 31 | 1/3.und|efined.1|
|00003420| 2f 39 09 31 2f 32 37 09 | 53 6f 6c 76 65 20 66 6f |/9.1/27.|Solve fo|
|00003430| 72 20 78 3a 13 6c 6f 67 | dc 20 78 20 3d 20 2d 33 |r x:.log|. x = -3|
|00003440| 09 30 09 00 00 00 00 00 | 00 00 00 00 00 02 00 5f |.0......|......._|
|00003450| 00 31 09 31 36 09 36 34 | 09 32 09 38 09 53 6f 6c |.1.16.64|.2.8.Sol|
|00003460| 76 65 20 66 6f 72 20 78 | 3a 20 6c 6f 67 db 78 20 |ve for x|: log.x |
|00003470| 3d 20 34 09 30 09 00 00 | 00 00 00 00 00 00 00 00 |= 4.0...|........|
|00003480| 02 00 5f 00 32 09 30 09 | 2d 82 09 39 09 2d 39 09 |.._.2.0.|-..9.-9.|
|00003490| 57 68 61 74 20 69 73 20 | 74 68 65 20 6c 6f 77 65 |What is |the lowe|
|000034a0| 72 20 6c 69 6d 69 74 20 | 66 6f 72 20 6c 6f 67 e1 |r limit |for log.|
|000034b0| 78 3f 09 30 09 00 00 00 | 00 00 00 00 00 00 00 02 |x?.0....|........|
|000034c0| 00 5f 00 32 09 2d 32 09 | 2d 82 09 2d 78 09 30 09 |._.2.-2.|-..-x.0.|
|000034d0| 57 68 61 74 20 69 73 20 | 74 68 65 20 6c 6f 77 65 |What is |the lowe|
|000034e0| 72 20 6c 69 6d 69 74 20 | 66 6f 72 20 79 3d 6c 6f |r limit |for y=lo|
|000034f0| 67 db 78 3f 09 30 09 00 | 00 00 00 00 00 00 00 00 |g.x?.0..|........|
|00003500| 00 02 00 5f 00 32 09 2d | 82 09 2d 36 09 35 09 31 |..._.2.-|..-6.5.1|
|00003510| 09 57 68 61 74 20 69 73 | 20 74 68 65 20 6c 6f 77 |.What is| the low|
|00003520| 65 72 20 6c 69 6d 69 74 | 20 66 6f 72 20 79 3d 6c |er limit| for y=l|
|00003530| 6f 67 db 78 20 69 66 13 | 78 20 3e 3d 20 31 2f 36 |og.x if.|x >= 1/6|
|00003540| 34 3f 09 30 09 00 00 00 | 00 00 00 00 00 00 00 02 |4?.0....|........|
|00003550| 00 5f 00 34 09 32 2e 37 | 32 09 65 aa 09 30 09 82 |._.4.2.7|2.e..0..|
|00003560| 09 57 68 61 74 20 69 73 | 20 74 68 65 20 75 70 70 |.What is| the upp|
|00003570| 65 72 20 6c 69 6d 69 74 | 20 66 6f 72 20 79 3d 6c |er limit| for y=l|
|00003580| 6e 20 78 3f 09 30 09 00 | 00 00 00 00 00 00 00 00 |n x?.0..|........|
|00003590| 00 02 00 5e 00 31 09 34 | 09 30 09 31 32 38 09 82 |...^.1.4|.0.128..|
|000035a0| 09 57 68 61 74 20 69 73 | 20 74 68 65 20 75 70 70 |.What is| the upp|
|000035b0| 65 72 20 6c 69 6d 69 74 | 20 66 6f 72 20 79 20 3d |er limit| for y =|
|000035c0| 20 6c 6f 67 dd 78 20 69 | 66 13 78 20 3c 3d 20 32 | log.x i|f.x <= 2|
|000035d0| 35 36 3f 09 30 09 00 00 | 00 00 00 00 00 00 00 00 |56?.0...|........|
|000035e0| 02 00 5e 00 32 09 28 6c | 6e 32 35 2f 6c 6e 65 29 |..^.2.(l|n25/lne)|
|000035f0| 20 2b 20 31 09 6c 6e 32 | 35 20 2d 20 31 09 6c 6e | + 1.ln2|5 - 1.ln|
|00003600| 31 30 20 2d 20 31 09 6c | 6e 32 35 20 2b 20 31 09 |10 - 1.l|n25 + 1.|
|00003610| 57 68 69 63 68 20 69 73 | 20 61 6e 6f 74 68 65 72 |Which is| another|
|00003620| 20 77 61 79 20 74 6f 20 | 65 78 70 72 65 73 73 20 | way to |express |
|00003630| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 32 6c 6e | | 2ln|
|00003640| 35 20 2d 20 6c 6e 20 65 | 20 2b 20 6c 6e 31 3f 09 |5 - ln e| + ln1?.|
|00003650| 30 09 00 00 00 00 00 00 | 00 00 00 00 02 00 5e 00 |0.......|......^.|
|00003660| 31 09 6c 6f 67 28 39 2f | cf 35 29 09 6c 6f 67 33 |1.log(9/|.5).log3|
|00003670| 20 2d 20 6c 6f 67 35 09 | 33 2f 32 28 6c 6f 67 33 | - log5.|3/2(log3|
|00003680| 2f 6c 6f 67 35 29 09 6c | 6f 67 36 20 2d 20 6c 6f |/log5).l|og6 - lo|
|00003690| 67 35 2f 32 09 57 68 69 | 63 68 20 69 73 20 61 6e |g5/2.Whi|ch is an|
|000036a0| 6f 74 68 65 72 20 77 61 | 79 20 74 6f 20 65 78 70 |other wa|y to exp|
|000036b0| 72 65 73 73 20 20 20 20 | 20 20 20 20 20 20 20 20 |ress | |
|000036c0| 20 20 32 6c 6f 67 33 20 | 2d 20 31 2f 32 28 6c 6f | 2log3 |- 1/2(lo|
|000036d0| 67 35 29 3f 09 30 09 00 | 00 00 00 00 00 00 00 00 |g5)?.0..|........|
|000036e0| 00 02 00 03 00 31 09 39 | 33 81 35 38 30 09 39 35 |.....1.9|3.580.95|
|000036f0| 81 39 38 30 09 39 33 81 | 35 33 30 09 38 39 2c 36 |.980.93.|530.89,6|
|00003700| 37 30 09 45 73 74 69 6d | 61 74 65 3a 20 31 33 81 |70.Estim|ate: 13.|
|00003710| 32 34 37 20 2b 20 36 39 | 81 30 32 34 20 2b 20 31 |247 + 69|.024 + 1|
|00003720| 31 81 33 31 31 20 3d 20 | 3f 09 30 09 00 00 00 00 |1.311 = |?.0.....|
|00003730| 00 00 00 00 00 00 02 00 | 03 00 31 09 31 32 34 81 |........|..1.124.|
|00003740| 30 30 30 09 31 31 33 81 | 38 30 30 09 31 33 37 81 |000.113.|800.137.|
|00003750| 30 30 30 09 31 30 34 81 | 37 30 30 09 45 73 74 69 |000.104.|700.Esti|
|00003760| 6d 61 74 65 3a 20 31 35 | 81 34 32 33 20 2b 20 37 |mate: 15|.423 + 7|
|00003770| 38 81 30 39 36 20 2b 20 | 33 30 81 32 31 34 20 3d |8.096 + |30.214 =|
|00003780| 20 3f 09 30 09 00 00 00 | 00 00 00 00 00 00 00 02 | ?.0....|........|
|00003790| 00 03 00 32 09 36 31 81 | 30 30 30 09 37 31 81 30 |...2.61.|000.71.0|
|000037a0| 30 30 09 35 35 81 30 30 | 30 09 36 35 81 30 30 30 |00.55.00|0.65.000|
|000037b0| 09 45 73 74 69 6d 61 74 | 65 3a 20 32 35 81 31 30 |.Estimat|e: 25.10|
|000037c0| 30 20 2b 20 33 30 81 32 | 30 30 20 2b 20 31 35 81 |0 + 30.2|00 + 15.|
|000037d0| 36 30 30 20 3d 20 3f 09 | 30 09 00 00 00 00 00 00 |600 = ?.|0.......|
|000037e0| 00 00 00 00 02 00 03 00 | 32 09 31 31 31 81 30 30 |........|2.111.00|
|000037f0| 30 09 31 31 37 81 35 30 | 30 09 31 32 37 81 30 30 |0.117.50|0.127.00|
|00003800| 30 09 31 33 32 81 30 30 | 30 09 45 73 74 69 6d 61 |0.132.00|0.Estima|
|00003810| 74 65 3a 20 32 39 81 34 | 35 31 20 2b 20 32 33 81 |te: 29.4|51 + 23.|
|00003820| 30 34 35 20 2b 20 36 35 | 81 30 37 38 20 3d 20 3f |045 + 65|.078 = ?|
|00003830| 09 30 09 00 00 00 00 00 | 00 00 00 00 00 02 00 03 |.0......|........|
|00003840| 00 31 09 31 32 32 81 30 | 30 30 09 31 31 35 81 30 |.1.122.0|00.115.0|
|00003850| 30 30 09 31 32 39 81 30 | 30 30 09 31 33 32 81 30 |00.129.0|00.132.0|
|00003860| 30 30 09 45 73 74 69 6d | 61 74 65 3a 20 33 32 81 |00.Estim|ate: 32.|
|00003870| 35 39 38 20 2b 20 35 36 | 81 34 32 31 20 2b 20 33 |598 + 56|.421 + 3|
|00003880| 32 81 37 31 38 20 3d 20 | 3f 09 30 09 00 00 00 00 |2.718 = |?.0.....|
|00003890| 00 00 00 00 00 00 02 00 | 03 00 32 09 31 39 33 81 |........|..2.193.|
|000038a0| 30 30 30 09 31 38 33 81 | 30 30 30 09 31 37 31 81 |000.183.|000.171.|
|000038b0| 30 30 30 09 31 38 35 81 | 30 30 30 09 45 73 74 69 |000.185.|000.Esti|
|000038c0| 6d 61 74 65 3a 20 33 36 | 81 31 30 34 20 2b 20 38 |mate: 36|.104 + 8|
|000038d0| 34 81 30 32 36 20 2b 20 | 36 33 81 32 35 38 20 3d |4.026 + |63.258 =|
|000038e0| 20 3f 09 30 09 00 00 00 | 00 00 00 00 00 00 00 02 | ?.0....|........|
|000038f0| 00 03 00 34 09 31 39 37 | 81 30 30 30 09 32 32 31 |...4.197|.000.221|
|00003900| 81 30 30 30 09 32 30 30 | 81 30 30 30 09 32 31 30 |.000.200|.000.210|
|00003910| 81 30 30 30 09 45 73 74 | 69 6d 61 74 65 3a 20 35 |.000.Est|imate: 5|
|00003920| 34 81 32 38 30 20 2b 20 | 39 30 81 39 38 37 20 2b |4.280 + |90.987 +|
|00003930| 20 36 35 81 31 32 31 20 | 3d 20 3f 09 30 09 00 00 | 65.121 |= ?.0...|
|00003940| 00 00 00 00 00 00 00 00 | 02 00 03 00 34 09 31 30 |........|....4.10|
|00003950| 37 81 30 30 30 09 31 30 | 31 81 30 30 30 09 38 39 |7.000.10|1.000.89|
|00003960| 81 30 30 30 09 39 37 81 | 30 30 30 09 45 73 74 69 |.000.97.|000.Esti|
|00003970| 6d 61 74 65 3a 20 35 36 | 81 30 34 37 20 2b 20 33 |mate: 56|.047 + 3|
|00003980| 30 81 31 34 35 20 2b 20 | 31 31 81 30 35 39 20 3d |0.145 + |11.059 =|
|00003990| 20 3f 09 30 09 00 00 00 | 00 00 00 00 00 00 00 02 | ?.0....|........|
|000039a0| 00 03 00 33 09 31 37 34 | 81 39 30 30 09 31 36 34 |...3.174|.900.164|
|000039b0| 81 35 30 30 09 31 37 34 | 81 36 30 30 09 31 35 37 |.500.174|.600.157|
|000039c0| 81 38 30 30 09 45 73 74 | 69 6d 61 74 65 3a 20 36 |.800.Est|imate: 6|
|000039d0| 30 81 33 32 34 20 2b 20 | 38 34 81 32 31 39 20 2b |0.324 + |84.219 +|
|000039e0| 20 33 30 81 31 34 35 20 | 3d 20 3f 09 30 09 00 00 | 30.145 |= ?.0...|
|000039f0| 00 00 00 00 00 00 00 00 | 02 00 03 00 33 09 31 39 |........|....3.19|
|00003a00| 30 81 30 30 30 09 31 39 | 39 81 30 30 30 09 32 30 |0.000.19|9.000.20|
|00003a10| 33 81 30 30 30 09 32 31 | 33 81 30 30 30 09 45 73 |3.000.21|3.000.Es|
|00003a20| 74 69 6d 61 74 65 3a 20 | 36 30 81 38 30 34 20 2b |timate: |60.804 +|
|00003a30| 20 39 31 81 32 34 30 20 | 2b 20 35 30 81 34 38 37 | 91.240 |+ 50.487|
|00003a40| 20 3d 20 3f 09 30 09 00 | 00 00 00 00 00 00 00 00 | = ?.0..|........|
|00003a50| 00 02 00 30 00 32 09 3c | 09 3e 09 3d 09 62 65 61 |...0.2.<|.>.=.bea|
|00003a60| 74 73 20 6d 65 21 09 57 | 68 61 74 20 69 73 20 74 |ts me!.W|hat is t|
|00003a70| 68 65 20 72 65 6c 61 74 | 69 6f 6e 73 68 69 70 20 |he relat|ionship |
|00003a80| 62 65 74 77 65 65 6e 20 | 74 68 65 73 65 20 74 77 |between |these tw|
|00003a90| 6f 20 66 72 61 63 74 69 | 6f 6e 73 3a 20 31 30 2f |o fracti|ons: 10/|
|00003aa0| 31 37 20 3f 20 37 2f 31 | 32 09 30 09 00 00 00 00 |17 ? 7/1|2.0.....|
|00003ab0| 00 00 00 00 00 00 02 00 | 30 00 31 09 3c 09 3e 09 |........|0.1.<.>.|
|00003ac0| 3d 09 62 65 61 74 73 20 | 6d 65 21 09 57 68 61 74 |=.beats |me!.What|
|00003ad0| 20 69 73 20 74 68 65 20 | 72 65 6c 61 74 69 6f 6e | is the |relation|
|00003ae0| 73 68 69 70 20 62 65 74 | 77 65 65 6e 20 74 68 65 |ship bet|ween the|
|00003af0| 73 65 20 74 77 6f 20 66 | 72 61 63 74 69 6f 6e 73 |se two f|ractions|
|00003b00| 3a 20 32 2f 37 20 3f 20 | 35 2f 31 32 09 30 09 00 |: 2/7 ? |5/12.0..|
|00003b10| 00 00 00 00 00 00 00 00 | 00 02 00 30 00 33 09 3c |........|...0.3.<|
|00003b20| 09 3e 09 3d 09 62 65 61 | 74 73 20 6d 65 21 09 57 |.>.=.bea|ts me!.W|
|00003b30| 68 61 74 20 69 73 20 74 | 68 65 20 72 65 6c 61 74 |hat is t|he relat|
|00003b40| 69 6f 6e 73 68 69 70 20 | 62 65 74 77 65 65 6e 20 |ionship |between |
|00003b50| 74 68 65 73 65 20 74 77 | 6f 20 66 72 61 63 74 69 |these tw|o fracti|
|00003b60| 6f 6e 73 3a 20 32 36 2f | 34 30 20 3f 20 31 33 2f |ons: 26/|40 ? 13/|
|00003b70| 32 30 09 30 09 00 00 00 | 00 00 00 00 00 00 00 02 |20.0....|........|
|00003b80| 00 30 00 31 09 3c 09 3e | 09 3d 09 62 65 61 74 73 |.0.1.<.>|.=.beats|
|00003b90| 20 6d 65 21 09 57 68 61 | 74 20 69 73 20 74 68 65 | me!.Wha|t is the|
|00003ba0| 20 72 65 6c 61 74 69 6f | 6e 73 68 69 70 20 62 65 | relatio|nship be|
|00003bb0| 74 77 65 65 6e 20 74 68 | 65 73 65 20 74 77 6f 20 |tween th|ese two |
|00003bc0| 66 72 61 63 74 69 6f 6e | 73 3a 20 34 2f 31 31 20 |fraction|s: 4/11 |
|00003bd0| 3f 20 35 2f 39 09 30 09 | 00 00 00 00 00 00 00 00 |? 5/9.0.|........|
|00003be0| 00 00 02 00 30 00 33 09 | 3c 09 3e 09 3d 09 62 65 |....0.3.|<.>.=.be|
|00003bf0| 61 74 73 20 6d 65 21 09 | 57 68 61 74 20 69 73 20 |ats me!.|What is |
|00003c00| 74 68 65 20 72 65 6c 61 | 74 69 6f 6e 73 68 69 70 |the rela|tionship|
|00003c10| 20 62 65 74 77 65 65 6e | 20 74 68 65 73 65 20 74 | between| these t|
|00003c20| 77 6f 20 66 72 61 63 74 | 69 6f 6e 73 3a 20 35 2f |wo fract|ions: 5/|
|00003c30| 36 20 3f 20 31 35 2f 31 | 38 09 30 09 00 00 00 00 |6 ? 15/1|8.0.....|
|00003c40| 00 00 00 00 00 00 02 00 | 30 00 32 09 3c 09 3e 09 |........|0.2.<.>.|
|00003c50| 3d 09 62 65 61 74 73 20 | 6d 65 21 09 57 68 61 74 |=.beats |me!.What|
|00003c60| 20 69 73 20 74 68 65 20 | 72 65 6c 61 74 69 6f 6e | is the |relation|
|00003c70| 73 68 69 70 20 62 65 74 | 77 65 65 6e 20 74 68 65 |ship bet|ween the|
|00003c80| 73 65 20 74 77 6f 20 66 | 72 61 63 74 69 6f 6e 73 |se two f|ractions|
|00003c90| 3a 20 35 2f 39 20 3f 20 | 36 2f 31 31 09 30 09 00 |: 5/9 ? |6/11.0..|
|00003ca0| 00 00 00 00 00 00 00 00 | 00 02 00 30 00 31 09 3c |........|...0.1.<|
|00003cb0| 09 3e 09 3d 09 62 65 61 | 74 73 20 6d 65 21 09 57 |.>.=.bea|ts me!.W|
|00003cc0| 68 61 74 20 69 73 20 74 | 68 65 20 72 65 6c 61 74 |hat is t|he relat|
|00003cd0| 69 6f 6e 73 68 69 70 20 | 62 65 74 77 65 65 6e 20 |ionship |between |
|00003ce0| 74 68 65 73 65 20 74 77 | 6f 20 66 72 61 63 74 69 |these tw|o fracti|
|00003cf0| 6f 6e 73 3f 20 37 2f 31 | 31 20 3f 20 31 33 2f 31 |ons? 7/1|1 ? 13/1|
|00003d00| 38 09 30 09 00 00 00 00 | 00 00 00 00 00 00 02 00 |8.0.....|........|
|00003d10| 30 00 32 09 3c 09 3e 09 | 3d 09 62 65 61 74 73 20 |0.2.<.>.|=.beats |
|00003d20| 6d 65 21 09 57 68 61 74 | 20 69 73 20 74 68 65 20 |me!.What| is the |
|00003d30| 72 65 6c 61 74 69 6f 6e | 73 68 69 70 20 62 65 74 |relation|ship bet|
|00003d40| 77 65 65 6e 20 74 68 65 | 73 65 20 74 77 6f 20 66 |ween the|se two f|
|00003d50| 72 61 63 74 69 6f 6e 73 | 3a 20 37 2f 32 30 20 3f |ractions|: 7/20 ?|
|00003d60| 20 36 2f 32 35 09 30 09 | 00 00 00 00 00 00 00 00 | 6/25.0.|........|
|00003d70| 00 00 02 00 30 00 32 09 | 3c 09 3e 09 3d 09 62 65 |....0.2.|<.>.=.be|
|00003d80| 61 74 73 20 6d 65 21 09 | 57 68 61 74 20 69 73 20 |ats me!.|What is |
|00003d90| 74 68 65 20 72 65 6c 61 | 74 69 6f 6e 73 68 69 70 |the rela|tionship|
|00003da0| 20 62 65 74 77 65 65 6e | 20 74 68 65 73 65 20 74 | between| these t|
|00003db0| 77 6f 20 66 72 61 63 74 | 69 6f 6e 73 3a 20 37 2f |wo fract|ions: 7/|
|00003dc0| 39 20 3f 20 31 36 2f 32 | 35 09 30 09 00 00 00 00 |9 ? 16/2|5.0.....|
|00003dd0| 00 00 00 00 00 00 02 00 | 30 00 32 09 3c 09 3e 09 |........|0.2.<.>.|
|00003de0| 3d 09 62 65 61 74 73 20 | 6d 65 21 09 57 68 61 74 |=.beats |me!.What|
|00003df0| 20 69 73 20 74 68 65 20 | 72 65 6c 61 74 69 6f 6e | is the |relation|
|00003e00| 73 68 69 70 20 62 65 74 | 77 65 65 6e 20 74 68 65 |ship bet|ween the|
|00003e10| 73 65 20 74 77 6f 20 66 | 72 61 63 74 69 6f 6e 73 |se two f|ractions|
|00003e20| 3a 20 38 2f 31 31 20 3f | 20 31 31 2f 32 35 09 30 |: 8/11 ?| 11/25.0|
|00003e30| 09 00 00 00 00 00 00 00 | 00 00 00 02 00 03 00 31 |........|.......1|
|00003e40| 09 35 32 2f 36 33 09 32 | 36 2f 32 31 09 31 39 2f |.52/63.2|6/21.19/|
|00003e50| 32 31 09 33 30 2f 36 33 | 09 31 31 2f 32 31 20 2b |21.30/63|.11/21 +|
|00003e60| 20 31 39 2f 36 33 20 3d | 20 3f 09 30 09 00 00 00 | 19/63 =| ?.0....|
|00003e70| 00 00 00 00 00 00 00 02 | 00 03 00 32 09 33 39 31 |........|...2.391|
|00003e80| 2f 32 31 30 09 32 31 30 | 2f 33 39 31 09 32 31 2f |/210.210|/391.21/|
|00003e90| 33 39 09 37 2f 34 09 31 | 31 2f 32 33 20 2b 20 31 |39.7/4.1|1/23 + 1|
|00003ea0| 2f 31 37 20 3d 20 3f 09 | 30 09 00 00 00 00 00 00 |/17 = ?.|0.......|
|00003eb0| 00 00 00 00 02 00 03 00 | 32 09 32 33 2f 37 37 09 |........|2.23/77.|
|00003ec0| 34 33 2f 37 37 09 37 37 | 2f 34 33 09 35 2f 37 37 |43/77.77|/43.5/77|
|00003ed0| 09 33 2f 31 31 20 2b 20 | 32 2f 37 20 3d 20 3f 09 |.3/11 + |2/7 = ?.|
|00003ee0| 30 09 00 00 00 00 00 00 | 00 00 00 00 02 00 03 00 |0.......|........|
|00003ef0| 33 09 31 37 2f 34 39 35 | 09 31 38 37 2f 34 39 35 |3.17/495|.187/495|
|00003f00| 09 33 32 33 2f 34 39 35 | 09 33 2f 34 09 34 2f 31 |.323/495|.3/4.4/1|
|00003f10| 31 20 2b 20 31 33 2f 34 | 35 20 3d 20 3f 09 30 09 |1 + 13/4|5 = ?.0.|
|00003f20| 00 00 00 00 00 00 00 00 | 00 00 02 00 03 00 34 09 |........|......4.|
|00003f30| 38 2f 33 30 09 34 2f 31 | 35 09 31 39 2f 31 35 09 |8/30.4/1|5.19/15.|
|00003f40| 31 39 2f 33 30 09 37 2f | 31 35 20 2b 20 31 2f 36 |19/30.7/|15 + 1/6|
|00003f50| 20 3d 20 3f 09 30 09 00 | 00 00 00 00 00 00 00 00 | = ?.0..|........|
|00003f60| 00 02 00 03 00 33 09 32 | 39 32 2f 33 35 31 09 34 |.....3.2|92/351.4|
|00003f70| 31 37 2f 33 35 31 09 34 | 32 2f 33 35 31 09 33 35 |17/351.4|2/351.35|
|00003f80| 31 2f 34 32 09 35 2f 39 | 20 2d 20 31 37 2f 33 39 |1/42.5/9| - 17/39|
|00003f90| 20 3d 20 3f 09 30 09 00 | 00 00 00 00 00 00 00 00 | = ?.0..|........|
|00003fa0| 00 02 00 03 00 31 09 31 | 38 37 2f 33 39 39 09 33 |.....1.1|87/399.3|
|00003fb0| 32 33 2f 32 33 31 09 39 | 36 2f 31 32 33 09 33 39 |23/231.9|6/123.39|
|00003fc0| 39 2f 31 38 37 09 31 31 | 2f 31 39 20 78 20 31 37 |9/187.11|/19 x 17|
|00003fd0| 2f 32 31 20 3d 20 3f 09 | 30 09 00 00 00 00 00 00 |/21 = ?.|0.......|
|00003fe0| 00 00 00 00 02 00 03 00 | 32 09 31 30 32 2f 31 32 |........|2.102/12|
|00003ff0| 31 09 31 37 35 2f 31 33 | 33 31 09 31 31 2f 31 32 |1.175/13|31.11/12|
|00004000| 31 09 31 32 31 2f 31 30 | 32 09 37 2f 31 31 20 78 |1.121/10|2.7/11 x|
|00004010| 20 32 35 2f 31 32 31 20 | 3d 20 3f 09 30 09 00 00 | 25/121 |= ?.0...|
|00004020| 00 00 00 00 00 00 00 00 | 02 00 03 00 34 09 31 34 |........|....4.14|
|00004030| 2f 33 39 09 39 2f 32 37 | 33 09 34 39 2f 32 37 33 |/39.9/27|3.49/273|
|00004040| 09 32 2f 33 39 09 37 2f | 33 39 20 78 20 32 2f 37 |.2/39.7/|39 x 2/7|
|00004050| 20 3d 20 3f 09 30 09 00 | 00 00 00 00 00 00 00 00 | = ?.0..|........|
|00004060| 00 02 00 03 00 32 09 35 | 34 2f 31 31 35 09 31 32 |.....2.5|4/115.12|
|00004070| 36 2f 31 31 35 09 39 2f | 31 34 09 31 31 35 2f 31 |6/115.9/|14.115/1|
|00004080| 32 36 09 31 34 2f 32 33 | 20 d1 20 35 2f 39 20 3d |26.14/23| . 5/9 =|
|00004090| 20 3f 09 30 09 00 00 00 | 00 00 00 00 00 00 00 02 | ?.0....|........|
|000040a0| 00 03 00 32 09 36 33 2f | 33 36 09 31 32 2f 37 09 |...2.63/|36.12/7.|
|000040b0| 37 2f 31 32 09 37 2f 33 | 36 09 33 36 2f 37 20 d1 |7/12.7/3|6.36/7 .|
|000040c0| 20 39 2f 33 20 3d 20 3f | 09 30 09 00 00 00 00 00 | 9/3 = ?|.0......|
|000040d0| 00 00 00 00 00 02 00 25 | 00 31 09 34 2f 31 35 09 |.......%|.1.4/15.|
|000040e0| 34 2f 32 31 09 37 2f 33 | 33 09 38 2f 31 39 09 52 |4/21.7/3|3.8/19.R|
|000040f0| 65 64 75 63 65 20 74 6f | 20 74 68 65 20 6c 6f 77 |educe to| the low|
|00004100| 65 73 74 20 74 65 72 6d | 73 3a 20 31 34 34 2f 35 |est term|s: 144/5|
|00004110| 34 30 09 30 09 00 00 00 | 00 00 00 00 00 00 00 02 |40.0....|........|
|00004120| 00 25 00 34 09 34 2f 39 | 09 35 2f 32 31 09 37 2f |.%.4.4/9|.5/21.7/|
|00004130| 33 33 09 33 2f 38 09 52 | 65 64 75 63 65 20 74 6f |33.3/8.R|educe to|
|00004140| 20 74 68 65 20 6c 6f 77 | 65 73 74 20 74 65 72 6d | the low|est term|
|00004150| 73 3a 20 31 36 38 2f 34 | 34 38 09 30 09 00 00 00 |s: 168/4|48.0....|
|00004160| 00 00 00 00 00 00 00 02 | 00 25 00 32 09 33 2f 32 |........|.%.2.3/2|
|00004170| 32 09 34 2f 39 09 36 2f | 32 30 09 37 2f 32 33 09 |2.4/9.6/|20.7/23.|
|00004180| 52 65 64 75 63 65 20 74 | 6f 20 74 68 65 20 6c 6f |Reduce t|o the lo|
|00004190| 77 65 73 74 20 74 65 72 | 6d 73 3a 20 32 32 34 2f |west ter|ms: 224/|
|000041a0| 35 30 34 09 30 09 00 00 | 00 00 00 00 00 00 00 00 |504.0...|........|
|000041b0| 02 00 25 00 32 09 36 2f | 32 33 09 35 2f 31 34 09 |..%.2.6/|23.5/14.|
|000041c0| 37 2f 31 33 09 38 2f 34 | 33 09 52 65 64 75 63 65 |7/13.8/4|3.Reduce|
|000041d0| 20 74 6f 20 74 68 65 20 | 6c 6f 77 65 73 74 20 74 | to the |lowest t|
|000041e0| 65 72 6d 73 3a 20 32 32 | 35 2f 36 33 30 09 30 09 |erms: 22|5/630.0.|
|000041f0| 00 00 00 00 00 00 00 00 | 00 00 02 00 25 00 33 09 |........|....%.3.|
|00004200| 38 2f 32 31 09 35 2f 31 | 37 09 37 2f 31 36 09 39 |8/21.5/1|7.7/16.9|
|00004210| 2f 34 32 09 52 65 64 75 | 63 65 20 74 6f 20 74 68 |/42.Redu|ce to th|
|00004220| 65 20 6c 6f 77 65 73 74 | 20 74 65 72 6d 73 3a 20 |e lowest| terms: |
|00004230| 32 35 32 2f 35 37 36 09 | 30 09 00 00 00 00 00 00 |252/576.|0.......|
|00004240| 00 00 00 00 02 00 25 00 | 34 09 39 2f 35 32 09 31 |......%.|4.9/52.1|
|00004250| 31 2f 31 33 09 38 2f 33 | 33 09 38 2f 31 35 09 52 |1/13.8/3|3.8/15.R|
|00004260| 65 64 75 63 65 20 74 6f | 20 74 68 65 20 6c 6f 77 |educe to| the low|
|00004270| 65 73 74 20 74 65 72 6d | 73 3a 20 32 36 34 2f 34 |est term|s: 264/4|
|00004280| 39 35 09 30 09 00 00 00 | 00 00 00 00 00 00 00 02 |95.0....|........|
|00004290| 00 25 00 32 09 33 2f 31 | 37 09 35 2f 31 32 09 34 |.%.2.3/1|7.5/12.4|
|000042a0| 2f 32 31 09 36 2f 32 33 | 09 52 65 64 75 63 65 20 |/21.6/23|.Reduce |
|000042b0| 74 6f 20 74 68 65 20 6c | 6f 77 65 73 74 20 74 65 |to the l|owest te|
|000042c0| 72 6d 73 3a 20 32 37 30 | 2f 36 34 38 09 30 09 00 |rms: 270|/648.0..|
|000042d0| 00 00 00 00 00 00 00 00 | 00 02 00 25 00 31 09 39 |........|...%.1.9|
|000042e0| 2f 31 36 09 31 30 2f 32 | 37 09 38 2f 33 35 09 37 |/16.10/2|7.8/35.7|
|000042f0| 2f 33 36 09 52 65 64 75 | 63 65 20 74 6f 20 74 68 |/36.Redu|ce to th|
|00004300| 65 20 6c 6f 77 65 73 74 | 20 74 65 72 6d 73 3a 20 |e lowest| terms: |
|00004310| 32 39 37 2f 35 32 38 09 | 30 09 00 00 00 00 00 00 |297/528.|0.......|
|00004320| 00 00 00 00 02 00 25 00 | 33 09 31 32 2f 32 33 09 |......%.|3.12/23.|
|00004330| 38 2f 31 33 09 31 31 2f | 31 35 09 39 2f 32 32 09 |8/13.11/|15.9/22.|
|00004340| 52 65 64 75 63 65 20 74 | 6f 20 74 68 65 20 6c 6f |Reduce t|o the lo|
|00004350| 77 65 73 74 20 74 65 72 | 6d 73 3a 20 33 35 32 2f |west ter|ms: 352/|
|00004360| 34 38 30 09 30 09 00 00 | 00 00 00 00 00 00 00 00 |480.0...|........|
|00004370| 02 00 25 00 31 09 31 31 | 2f 31 36 09 39 2f 34 34 |..%.1.11|/16.9/44|
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|000043c0| 09 74 75 6e 61 09 63 61 | 74 66 69 73 68 09 66 69 |.tuna.ca|tfish.fi|
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|00004880| 20 61 74 20 31 32 25 20 | 69 6e 74 65 72 65 73 74 | at 12% |interest|
|00004890| 20 63 6f 6d 70 6f 75 6e | 64 65 64 20 61 6e 6e 75 | compoun|ded annu|
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|000048b0| 81 20 61 62 6f 75 74 20 | 68 6f 77 20 6d 75 63 68 |. about |how much|
|000048c0| 20 6d 6f 6e 65 79 20 77 | 69 6c 6c 20 79 6f 75 20 | money w|ill you |
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|000048f0| 30 09 24 37 38 35 09 24 | 37 39 31 09 49 66 20 79 |0.$785.$|791.If y|
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|00004980| 38 37 32 09 24 31 81 31 | 34 34 09 24 31 81 30 32 |872.$1.1|44.$1.02|
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|000049a0| 24 35 35 30 20 61 74 20 | 31 31 25 20 69 6e 74 65 |$550 at |11% inte|
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|00004aa0| 34 09 24 31 81 30 30 37 | 09 24 31 81 37 30 33 09 |4.$1.007|.$1.703.|
|00004ab0| 24 31 81 33 30 32 09 24 | 31 81 31 37 38 09 49 66 |$1.302.$|1.178.If|
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|00004ad0| 20 61 74 20 31 32 25 20 | 69 6e 74 65 72 65 73 74 | at 12% |interest|
|00004ae0| 20 63 6f 6d 70 6f 75 6e | 64 65 64 20 61 6e 6e 75 | compoun|ded annu|
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|00004b00| 81 20 61 62 6f 75 74 20 | 68 6f 77 20 6d 75 63 68 |. about |how much|
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|00004b40| 09 33 30 09 49 66 20 79 | 6f 75 20 6d 61 6b 65 20 |.30.If y|ou make |
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|00004b60| 31 31 30 30 81 20 68 6f | 77 20 6d 61 6e 79 20 6d |1100. ho|w many m|
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|00004bc0| 00 02 00 48 00 34 09 38 | 09 31 30 09 31 33 09 31 |...H.4.8|.10.13.1|
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|00004bf0| 30 81 20 68 6f 77 20 6d | 61 6e 79 20 6d 6f 6e 74 |0. how m|any mont|
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|00004c30| 74 68 20 69 6e 74 65 72 | 65 73 74 20 66 72 65 65 |th inter|est free|
|00004c40| 3f 09 30 09 00 00 00 00 | 00 00 00 00 00 00 02 00 |?.0.....|........|
|00004c50| 48 00 31 09 24 31 30 09 | 24 34 30 09 24 33 30 09 |H.1.$10.|$40.$30.|
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|00004cc0| 00 00 00 02 00 48 00 31 | 09 24 31 37 2e 35 30 09 |.....H.1|.$17.50.|
|00004cd0| 24 32 38 2e 35 30 09 24 | 37 2e 30 30 09 24 39 2e |$28.50.$|7.00.$9.|
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|00004d10| 75 63 68 20 77 69 6c 6c | 20 79 6f 75 72 20 6d 6f |uch will| your mo|
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|00004d40| 00 00 02 00 48 00 34 09 | 24 32 35 09 24 32 38 09 |....H.4.|$25.$28.|
|00004d50| 24 33 30 09 24 33 35 09 | 49 66 20 79 6f 75 20 73 |$30.$35.|If you s|
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|00004d90| 75 72 20 6d 6f 6e 65 79 | 20 65 61 72 6e 20 69 6e |ur money| earn in|
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|00004de0| 35 30 30 20 61 74 20 37 | 25 20 73 69 6d 70 6c 65 |500 at 7|% simple|
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|00004e00| 75 63 68 20 77 69 6c 6c | 20 79 6f 75 72 20 6d 6f |uch will| your mo|
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|00004ee0| 36 39 33 81 39 32 38 2e | 32 38 09 24 2e 30 31 09 |693.928.|28.$.01.|
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|00004f70| 30 09 00 00 00 00 00 00 | 00 00 00 00 02 00 48 00 |0.......|......H.|
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|00004fc0| 79 73 20 35 25 20 73 69 | 6d 70 6c 65 20 69 6e 74 |ys 5% si|mple int|
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|00005000| 79 3f 09 30 09 00 00 00 | 00 00 00 00 00 00 00 02 |y?.0....|........|
|00005010| 00 48 00 33 09 24 31 81 | 30 30 30 09 24 31 81 35 |.H.3.$1.|000.$1.5|
|00005020| 30 30 09 24 32 81 30 30 | 30 09 24 32 81 35 30 30 |00.$2.00|0.$2.500|
|00005030| 09 49 66 20 79 6f 75 72 | 20 73 61 76 69 6e 67 73 |.If your| savings|
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|00005060| 81 20 68 6f 77 20 6d 75 | 63 68 20 6d 75 73 74 20 |. how mu|ch must |
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|00005090| 66 69 72 73 74 20 79 65 | 61 72 3f 09 30 09 00 00 |first ye|ar?.0...|
|000050a0| 00 00 00 00 00 00 00 00 | 02 00 48 00 32 09 24 33 |........|..H.2.$3|
|000050b0| 81 35 34 30 09 24 34 81 | 31 37 30 09 24 34 81 30 |.540.$4.|170.$4.0|
|000050c0| 38 30 09 24 33 81 38 32 | 30 09 49 66 20 79 6f 75 |80.$3.82|0.If you|
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|00005110| 70 20 69 6e 20 69 74 20 | 74 6f 20 6d 61 6b 65 20 |p in it |to make |
|00005120| 24 32 35 30 20 74 68 65 | 20 66 69 72 73 74 20 79 |$250 the| first y|
|00005130| 65 61 72 3f 09 30 09 00 | 00 00 00 00 00 00 00 00 |ear?.0..|........|
|00005140| 00 02 00 48 00 33 09 24 | 31 32 30 09 24 38 36 09 |...H.3.$|120.$86.|
|00005150| 24 38 30 09 24 39 30 09 | 59 6f 75 20 6d 61 6b 65 |$80.$90.|You make|
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|000051b0| 68 20 64 6f 20 79 6f 75 | 20 70 61 79 20 70 65 72 |h do you| pay per|
|000051c0| 20 6d 6f 6e 74 68 3f 09 | 30 09 00 00 00 00 00 00 | month?.|0.......|
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|000051e0| 31 81 30 30 30 09 39 35 | 30 09 31 81 32 30 30 09 |1.000.95|0.1.200.|
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|00005220| 3f 09 30 09 00 00 00 00 | 00 00 00 00 00 00 02 00 |?.0.....|........|
|00005230| 3b 00 33 09 33 32 2e 34 | 34 09 32 34 2e 36 32 09 |;.3.32.4|4.24.62.|
|00005240| 33 39 2e 35 32 09 35 34 | 2e 32 32 09 48 6f 77 20 |39.52.54|.22.How |
|00005250| 6d 61 6e 79 20 61 63 72 | 65 73 20 61 72 65 20 69 |many acr|es are i|
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|00005270| 09 00 00 00 00 00 00 00 | 00 00 00 02 00 3b 00 31 |........|.....;.1|
|00005280| 09 31 33 35 09 31 34 33 | 09 31 32 37 09 31 32 35 |.135.143|.127.125|
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|000052c0| 00 00 00 02 00 3b 00 33 | 09 32 34 2e 32 34 09 35 |.....;.3|.24.24.5|
|000052d0| 36 2e 33 34 09 33 35 2e | 33 31 09 31 38 2e 36 36 |6.34.35.|31.18.66|
|000052e0| 09 48 6f 77 20 6d 61 6e | 79 20 63 75 62 69 63 20 |.How man|y cubic |
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|00005310| 00 00 00 00 00 00 00 00 | 00 02 00 3b 00 34 09 31 |........|...;.4.1|
|00005320| 34 34 09 33 32 09 36 09 | 31 32 09 48 6f 77 20 6d |44.32.6.|12.How m|
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|00005340| 20 64 6f 20 31 32 20 6d | 65 74 72 69 63 20 74 6f | do 12 m|etric to|
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|00005360| 6c 61 63 65 3f 09 30 09 | 00 00 00 00 00 00 00 00 |lace?.0.|........|
|00005370| 00 00 02 00 3b 00 33 09 | 36 35 36 09 31 81 30 32 |....;.3.|656.1.02|
|00005380| 34 09 39 34 30 09 35 30 | 30 09 48 6f 77 20 6d 61 |4.940.50|0.How ma|
|00005390| 6e 79 20 67 72 61 6d 73 | 20 64 6f 65 73 20 31 20 |ny grams| does 1 |
|000053a0| 71 75 61 72 74 20 6f 66 | 20 77 61 74 65 72 20 77 |quart of| water w|
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|000053c0| 00 00 02 00 3b 00 32 09 | 32 2e 34 09 34 2e 38 09 |....;.2.|2.4.4.8.|
|000053d0| 36 2e 38 09 37 2e 32 09 | 48 6f 77 20 6d 61 6e 79 |6.8.7.2.|How many|
|000053e0| 20 68 65 63 74 61 72 65 | 73 20 61 72 65 20 69 6e | hectare|s are in|
|000053f0| 20 31 32 20 61 63 72 65 | 73 3f 09 30 09 00 00 00 | 12 acre|s?.0....|
|00005400| 00 00 00 00 00 00 00 02 | 00 3b 00 31 09 33 30 34 |........|.;.1.304|
|00005410| 2e 38 09 33 35 34 2e 32 | 09 32 30 36 2e 33 09 35 |.8.354.2|.206.3.5|
|00005420| 35 32 2e 35 09 48 6f 77 | 20 6d 61 6e 79 20 6d 69 |52.5.How| many mi|
|00005430| 6c 6c 69 6d 65 74 65 72 | 73 20 61 72 65 20 69 6e |llimeter|s are in|
|00005440| 20 31 20 66 6f 6f 74 3f | 09 30 09 00 00 00 00 00 | 1 foot?|.0......|
|00005450| 00 00 00 00 00 02 00 3b | 00 34 09 36 34 34 09 35 |.......;|.4.644.5|
|00005460| 32 30 2e 32 09 33 39 36 | 2e 34 09 34 35 37 2e 32 |20.2.396|.4.457.2|
|00005470| 09 48 6f 77 20 6d 61 6e | 79 20 6d 69 6c 6c 69 6d |.How man|y millim|
|00005480| 65 74 65 72 73 20 61 72 | 65 20 69 6e 20 31 38 20 |eters ar|e in 18 |
|00005490| 69 6e 63 68 65 73 3f 09 | 30 09 00 00 00 00 00 00 |inches?.|0.......|
|000054a0| 00 00 00 00 02 00 3b 00 | 31 09 31 32 2e 36 36 09 |......;.|1.12.66.|
|000054b0| 31 36 2e 32 09 38 2e 36 | 09 31 34 2e 32 09 48 6f |16.2.8.6|.14.2.Ho|
|000054c0| 77 20 6d 61 6e 79 20 70 | 69 6e 74 73 20 6f 66 20 |w many p|ints of |
|000054d0| 77 61 74 65 72 20 61 72 | 65 20 69 6e 20 36 20 6c |water ar|e in 6 l|
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|000054f0| 00 00 00 02 00 3b 00 33 | 09 31 30 20 79 65 61 72 |.....;.3|.10 year|
|00005500| 73 09 32 34 20 79 65 61 | 72 73 09 33 32 20 79 65 |s.24 yea|rs.32 ye|
|00005510| 61 72 73 09 37 35 20 79 | 65 61 72 73 09 57 68 69 |ars.75 y|ears.Whi|
|00005520| 63 68 20 69 73 20 63 6c | 6f 73 65 73 74 20 74 6f |ch is cl|osest to|
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|00005540| 69 6d 65 20 69 6e 20 6f | 6e 65 20 62 69 6c 6c 69 |ime in o|ne billi|
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|00005560| 00 00 00 00 00 00 00 00 | 02 00 3d 00 34 09 36 09 |........|..=.4.6.|
|00005570| 35 09 33 09 31 09 49 66 | 20 61 20 62 6f 6c 74 20 |5.3.1.If| a bolt |
|00005580| 6f 66 20 6c 69 67 68 74 | 6e 69 6e 67 20 66 6c 61 |of light|ning fla|
|00005590| 73 68 65 73 20 30 2e 32 | 20 6d 69 6c 65 73 20 61 |shes 0.2| miles a|
|000055a0| 77 61 79 20 66 72 6f 6d | 20 79 6f 75 81 20 68 6f |way from| you. ho|
|000055b0| 77 20 6d 61 6e 79 20 73 | 65 63 6f 6e 64 73 20 6c |w many s|econds l|
|000055c0| 61 74 65 72 20 77 69 6c | 6c 20 79 6f 75 20 68 65 |ater wil|l you he|
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|000055e0| 30 09 00 00 00 00 00 00 | 00 00 00 00 02 00 3d 00 |0.......|......=.|
|000055f0| 31 09 36 30 09 36 09 31 | 32 09 32 2e 35 09 49 66 |1.60.6.1|2.2.5.If|
|00005600| 20 61 20 62 6f 6c 74 20 | 6f 66 20 6c 69 67 68 74 | a bolt |of light|
|00005610| 6e 69 6e 67 20 66 6c 61 | 73 68 65 73 20 31 32 20 |ning fla|shes 12 |
|00005620| 6d 69 6c 65 73 20 61 77 | 61 79 20 66 72 6f 6d 20 |miles aw|ay from |
|00005630| 79 6f 75 81 20 68 6f 77 | 20 6d 61 6e 79 20 73 65 |you. how| many se|
|00005640| 63 6f 6e 64 73 20 6c 61 | 74 65 72 20 77 69 6c 6c |conds la|ter will|
|00005650| 20 79 6f 75 20 68 65 61 | 72 20 74 68 65 20 74 68 | you hea|r the th|
|00005660| 75 6e 64 65 72 3f 09 30 | 09 00 00 00 00 00 00 00 |under?.0|........|
|00005670| 00 00 00 02 00 3d 00 33 | 09 37 09 31 35 09 31 31 |.....=.3|.7.15.11|
|00005680| 09 34 09 49 66 20 61 20 | 62 6f 6c 74 20 6f 66 20 |.4.If a |bolt of |
|00005690| 6c 69 67 68 74 6e 69 6e | 67 20 66 6c 61 73 68 65 |lightnin|g flashe|
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|000056b0| 20 66 72 6f 6d 20 79 6f | 75 81 20 68 6f 77 20 6d | from yo|u. how m|
|000056c0| 61 6e 79 20 73 65 63 6f | 6e 64 73 20 6c 61 74 65 |any seco|nds late|
|000056d0| 72 20 77 69 6c 6c 20 79 | 6f 75 20 68 65 61 72 20 |r will y|ou hear |
|000056e0| 74 68 65 20 74 68 75 6e | 64 65 72 3f 09 30 09 00 |the thun|der?.0..|
|000056f0| 00 00 00 00 00 00 00 00 | 00 02 00 3d 00 32 09 31 |........|...=.2.1|
|00005700| 2e 37 09 31 37 09 37 31 | 09 30 2e 31 37 09 49 66 |.7.17.71|.0.17.If|
|00005710| 20 61 20 62 6f 6c 74 20 | 6f 66 20 6c 69 67 68 74 | a bolt |of light|
|00005720| 6e 69 6e 67 20 66 6c 61 | 73 68 65 73 20 33 2e 34 |ning fla|shes 3.4|
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|00005750| 65 63 6f 6e 64 73 20 6c | 61 74 65 72 20 77 69 6c |econds l|ater wil|
|00005760| 6c 20 79 6f 75 20 68 65 | 61 72 20 74 68 65 20 74 |l you he|ar the t|
|00005770| 68 75 6e 64 65 72 3f 09 | 30 09 00 00 00 00 00 00 |hunder?.|0.......|
|00005780| 00 00 00 00 02 00 3d 00 | 34 09 31 32 09 32 30 09 |......=.|4.12.20.|
|00005790| 31 35 09 32 35 09 49 66 | 20 61 20 62 6f 6c 74 20 |15.25.If| a bolt |
|000057a0| 6f 66 20 6c 69 67 68 74 | 6e 69 6e 67 20 66 6c 61 |of light|ning fla|
|000057b0| 73 68 65 73 20 35 20 6d | 69 6c 65 73 20 61 77 61 |shes 5 m|iles awa|
|000057c0| 79 20 66 72 6f 6d 20 79 | 6f 75 81 20 68 6f 77 20 |y from y|ou. how |
|000057d0| 6d 61 6e 79 20 73 65 63 | 6f 6e 64 73 20 6c 61 74 |many sec|onds lat|
|000057e0| 65 72 20 77 69 6c 6c 20 | 79 6f 75 20 68 65 61 72 |er will |you hear|
|000057f0| 20 74 68 65 20 74 68 75 | 6e 64 65 72 3f 09 30 09 | the thu|nder?.0.|
|00005800| 00 00 00 00 00 00 00 00 | 00 00 02 00 3d 00 32 09 |........|....=.2.|
|00005810| 31 2e 35 09 30 2e 32 09 | 30 2e 36 09 31 2e 39 09 |1.5.0.2.|0.6.1.9.|
|00005820| 49 66 20 79 6f 75 20 73 | 65 65 20 61 20 66 6c 61 |If you s|ee a fla|
|00005830| 73 68 20 6f 66 20 6c 69 | 67 68 74 6e 69 6e 67 20 |sh of li|ghtning |
|00005840| 61 6e 64 20 74 68 65 6e | 20 68 65 61 72 20 74 68 |and then| hear th|
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|00005870| 68 6f 77 20 6d 61 6e 79 | 20 6d 69 6c 65 73 20 61 |how many| miles a|
|00005880| 77 61 79 20 77 61 73 20 | 74 68 65 20 6c 69 67 68 |way was |the ligh|
|00005890| 74 6e 69 6e 67 3f 09 30 | 09 00 00 00 00 00 00 00 |tning?.0|........|
|000058a0| 00 00 00 02 00 5d 00 31 | 09 32 2e 38 09 31 2e 38 |.....].1|.2.8.1.8|
|000058b0| 09 33 2e 36 09 30 2e 34 | 09 49 66 20 79 6f 75 20 |.3.6.0.4|.If you |
|000058c0| 73 65 65 20 61 20 66 6c | 61 73 68 20 6f 66 20 6c |see a fl|ash of l|
|000058d0| 69 67 68 74 6e 69 6e 67 | 20 61 6e 64 20 74 68 65 |ightning| and the|
|000058e0| 6e 20 68 65 61 72 20 74 | 68 65 20 74 68 75 6e 64 |n hear t|he thund|
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|00005900| 74 65 72 81 20 61 62 6f | 75 74 20 68 6f 77 20 6d |ter. abo|ut how m|
|00005910| 61 6e 79 20 6d 69 6c 65 | 73 20 61 77 61 79 20 77 |any mile|s away w|
|00005920| 61 73 20 74 68 65 20 6c | 69 67 68 74 6e 69 6e 67 |as the l|ightning|
|00005930| 3f 09 30 09 00 00 00 00 | 00 00 00 00 00 00 02 00 |?.0.....|........|
|00005940| 5d 00 32 09 31 09 33 09 | 31 35 09 32 35 09 49 66 |].2.1.3.|15.25.If|
|00005950| 20 79 6f 75 20 73 65 65 | 20 61 20 66 6c 61 73 68 | you see| a flash|
|00005960| 20 6f 66 20 6c 69 67 68 | 74 6e 69 6e 67 20 61 6e | of ligh|tning an|
|00005970| 64 20 74 68 65 6e 20 68 | 65 61 72 20 74 68 65 20 |d then h|ear the |
|00005980| 74 68 75 6e 64 65 72 20 | 31 35 20 73 65 63 6f 6e |thunder |15 secon|
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|000059a0| 68 6f 77 20 6d 61 6e 79 | 20 6d 69 6c 65 73 20 61 |how many| miles a|
|000059b0| 77 61 79 20 77 61 73 20 | 74 68 65 20 6c 69 67 68 |way was |the ligh|
|000059c0| 74 6e 69 6e 67 3f 09 30 | 09 00 00 00 00 00 00 00 |tning?.0|........|
|000059d0| 00 00 00 02 00 5d 00 34 | 09 33 2e 39 09 31 37 09 |.....].4|.3.9.17.|
|000059e0| 32 2e 37 09 35 2e 32 09 | 49 66 20 79 6f 75 20 73 |2.7.5.2.|If you s|
|000059f0| 65 65 20 61 20 66 6c 61 | 73 68 20 6f 66 20 6c 69 |ee a fla|sh of li|
|00005a00| 67 68 74 6e 69 6e 67 20 | 61 6e 64 20 74 68 65 6e |ghtning |and then|
|00005a10| 20 68 65 61 72 20 74 68 | 65 20 74 68 75 6e 64 65 | hear th|e thunde|
|00005a20| 72 20 32 37 20 73 65 63 | 6f 6e 64 73 20 6c 61 74 |r 27 sec|onds lat|
|00005a30| 65 72 81 20 61 62 6f 75 | 74 20 68 6f 77 20 6d 61 |er. abou|t how ma|
|00005a40| 6e 79 20 6d 69 6c 65 73 | 20 61 77 61 79 20 77 61 |ny miles| away wa|
|00005a50| 73 20 74 68 65 20 6c 69 | 67 68 74 6e 69 6e 67 3f |s the li|ghtning?|
|00005a60| 09 30 09 00 00 00 00 00 | 00 00 00 00 00 02 00 5d |.0......|.......]|
|00005a70| 00 31 09 31 2e 38 09 32 | 2e 32 09 33 2e 36 09 34 |.1.1.8.2|.2.3.6.4|
|00005a80| 2e 35 09 49 66 20 79 6f | 75 20 73 65 65 20 61 20 |.5.If yo|u see a |
|00005a90| 66 6c 61 73 68 20 6f 66 | 20 6c 69 67 68 74 6e 69 |flash of| lightni|
|00005aa0| 6e 67 20 61 6e 64 20 74 | 68 65 6e 20 68 65 61 72 |ng and t|hen hear|
|00005ab0| 20 74 68 65 20 74 68 75 | 6e 64 65 72 20 39 20 73 | the thu|nder 9 s|
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|00005af0| 6c 69 67 68 74 6e 69 6e | 67 3f 09 30 09 00 00 00 |lightnin|g?.0....|
|00005b00| 00 00 00 00 00 00 00 02 | 00 5d 00 32 09 30 2e 35 |........|.].2.0.5|
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|00005b20| 35 20 68 6f 75 72 73 09 | 30 2e 37 35 20 68 6f 75 |5 hours.|0.75 hou|
|00005b30| 72 73 09 41 20 63 61 72 | 20 67 6f 69 6e 67 20 35 |rs.A car| going 5|
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|00005b50| 69 6c 65 20 68 65 61 64 | 20 73 74 61 72 74 2e 20 |ile head| start. |
|00005b60| 20 49 66 20 79 6f 75 20 | 74 72 61 76 65 6c 20 61 | If you |travel a|
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|00005b80| 6e 67 20 62 65 66 6f 72 | 65 20 79 6f 75 20 63 61 |ng befor|e you ca|
|00005b90| 74 63 68 20 74 68 65 20 | 66 69 72 73 74 20 63 61 |tch the |first ca|
|00005ba0| 72 3f 09 30 09 00 00 00 | 00 00 00 00 00 00 00 02 |r?.0....|........|
|00005bb0| 00 5d 00 31 09 31 2e 35 | 20 68 6f 75 72 73 09 32 |.].1.1.5| hours.2|
|00005bc0| 20 68 6f 75 72 73 09 31 | 20 68 6f 75 72 09 30 2e | hours.1| hour.0.|
|00005bd0| 39 35 20 68 6f 75 72 73 | 09 41 20 63 61 72 20 67 |95 hours|.A car g|
|00005be0| 6f 69 6e 67 20 35 35 20 | 6d 70 68 20 68 61 73 20 |oing 55 |mph has |
|00005bf0| 61 20 31 35 20 6d 69 6c | 65 20 68 65 61 64 20 73 |a 15 mil|e head s|
|00005c00| 74 61 72 74 2e 20 20 49 | 66 20 79 6f 75 20 74 72 |tart. I|f you tr|
|00005c10| 61 76 65 6c 20 61 74 20 | 36 35 20 6d 70 68 81 20 |avel at |65 mph. |
|00005c20| 68 6f 77 20 6c 6f 6e 67 | 20 62 65 66 6f 72 65 20 |how long| before |
|00005c30| 79 6f 75 20 63 61 74 63 | 68 20 74 68 65 20 66 69 |you catc|h the fi|
|00005c40| 72 73 74 20 63 61 72 3f | 09 30 09 00 00 00 00 00 |rst car?|.0......|
|00005c50| 00 00 00 00 00 02 00 5d | 00 34 09 31 30 30 09 36 |.......]|.4.100.6|
|00005c60| 36 30 09 31 81 32 30 30 | 09 38 38 30 09 49 66 20 |60.1.200|.880.If |
|00005c70| 61 20 6a 65 74 20 66 6c | 69 65 73 20 61 74 20 36 |a jet fl|ies at 6|
|00005c80| 30 30 20 6d 70 68 81 20 | 68 6f 77 20 6d 61 6e 79 |00 mph. |how many|
|00005c90| 20 66 65 65 74 20 70 65 | 72 20 73 65 63 6f 6e 64 | feet pe|r second|
|00005ca0| 20 69 73 20 74 68 61 74 | 3f 09 30 09 00 00 00 00 | is that|?.0.....|
|00005cb0| 00 00 00 00 00 00 02 00 | 5d 00 34 09 32 2e 33 33 |........|].4.2.33|
|00005cc0| 09 31 09 31 2e 34 09 31 | 2e 33 33 09 49 66 20 61 |.1.1.4.1|.33.If a|
|00005cd0| 20 74 72 61 69 6e 20 74 | 72 61 76 65 6c 73 20 61 | train t|ravels a|
|00005ce0| 74 20 38 30 20 6d 70 68 | 81 20 68 6f 77 20 6d 61 |t 80 mph|. how ma|
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|00005d00| 75 74 65 20 69 73 20 74 | 68 61 74 3f 09 30 09 00 |ute is t|hat?.0..|
|00005d10| 00 00 00 00 00 00 00 00 | 00 02 00 5d 00 32 09 31 |........|...].2.1|
|00005d20| 2e 32 09 30 2e 39 32 09 | 30 2e 37 35 09 30 2e 35 |.2.0.92.|0.75.0.5|
|00005d30| 35 09 49 66 20 79 6f 75 | 20 61 72 65 20 74 72 61 |5.If you| are tra|
|00005d40| 76 65 6c 69 6e 67 20 61 | 74 20 35 35 20 6d 70 68 |veling a|t 55 mph|
|00005d50| 81 20 68 6f 77 20 6d 61 | 6e 79 20 6d 69 6c 65 73 |. how ma|ny miles|
|00005d60| 20 70 65 72 20 6d 69 6e | 75 74 65 20 69 73 20 74 | per min|ute is t|
|00005d70| 68 61 74 3f 09 30 09 00 | 00 00 00 00 00 00 00 00 |hat?.0..|........|
|00005d80| 00 02 00 5d 00 33 09 36 | 30 09 31 09 38 38 09 33 |...].3.6|0.1.88.3|
|00005d90| 30 09 49 66 20 79 6f 75 | 20 61 72 65 20 74 72 61 |0.If you| are tra|
|00005da0| 76 65 6c 69 6e 67 20 61 | 74 20 36 30 20 6d 70 68 |veling a|t 60 mph|
|00005db0| 81 20 68 6f 77 20 66 61 | 73 74 20 69 73 20 74 68 |. how fa|st is th|
|00005dc0| 61 74 20 69 6e 20 66 65 | 65 74 20 70 65 72 20 73 |at in fe|et per s|
|00005dd0| 65 63 6f 6e 64 3f 09 30 | 09 00 00 00 00 00 00 00 |econd?.0|........|
|00005de0| 00 00 00 02 00 5d 00 31 | 09 33 2e 30 09 32 2e 33 |.....].1|.3.0.2.3|
|00005df0| 09 31 2e 32 09 33 2e 34 | 09 49 66 20 79 6f 75 20 |.1.2.3.4|.If you |
|00005e00| 64 72 69 76 65 20 61 20 | 72 61 63 65 20 63 61 72 |drive a |race car|
|00005e10| 20 61 74 20 31 37 38 20 | 6d 70 68 81 20 68 6f 77 | at 178 |mph. how|
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|00005e30| 6d 69 6e 75 74 65 20 69 | 73 20 74 68 61 74 3f 09 |minute i|s that?.|
|00005e40| 30 09 00 00 00 00 00 00 | 00 00 00 00 02 00 5d 00 |0.......|......].|
|00005e50| 32 09 31 2e 32 35 09 32 | 2e 32 35 09 33 2e 31 09 |2.1.25.2|.25.3.1.|
|00005e60| 30 2e 35 35 09 59 6f 75 | 20 61 72 65 20 74 72 61 |0.55.You| are tra|
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|00005e90| 74 20 35 35 20 6d 70 68 | 2e 20 20 48 6f 77 20 6d |t 55 mph|. How m|
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|00005ed0| 00 00 00 00 00 02 00 3d | 00 32 09 32 2e 33 09 32 |.......=|.2.2.3.2|
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|00005ef0| 61 72 65 20 74 72 61 76 | 65 6c 69 6e 67 20 61 20 |are trav|eling a |
|00005f00| 64 69 73 74 61 6e 63 65 | 20 6f 66 20 31 34 37 20 |distance| of 147 |
|00005f10| 6d 69 6c 65 73 20 61 74 | 20 35 35 20 6d 70 68 2e |miles at| 55 mph.|
|00005f20| 20 20 48 6f 77 20 6d 61 | 6e 79 20 68 6f 75 72 73 | How ma|ny hours|
|00005f30| 20 77 69 6c 6c 20 69 74 | 20 74 61 6b 65 20 79 6f | will it| take yo|
|00005f40| 75 20 74 6f 20 67 65 74 | 20 74 68 65 72 65 3f 09 |u to get| there?.|
|00005f50| 30 09 00 00 00 00 00 00 | 00 00 00 00 02 00 3d 00 |0.......|......=.|
|00005f60| 34 09 32 2e 35 09 33 09 | 34 2e 32 09 33 2e 36 09 |4.2.5.3.|4.2.3.6.|
|00005f70| 59 6f 75 20 61 72 65 20 | 74 72 61 76 65 6c 69 6e |You are |travelin|
|00005f80| 67 20 61 20 64 69 73 74 | 61 6e 63 65 20 6f 66 20 |g a dist|ance of |
|00005f90| 32 31 34 20 61 74 20 36 | 30 20 6d 70 68 2e 20 20 |214 at 6|0 mph. |
|00005fa0| 41 62 6f 75 74 20 68 6f | 77 20 6d 61 6e 79 20 68 |About ho|w many h|
|00005fb0| 6f 75 72 73 20 77 69 6c | 6c 20 69 74 20 74 61 6b |ours wil|l it tak|
|00005fc0| 65 20 79 6f 75 20 74 6f | 20 67 65 74 20 74 68 65 |e you to| get the|
|00005fd0| 72 65 3f 09 30 09 00 00 | 00 00 00 00 00 00 00 00 |re?.0...|........|
|00005fe0| 02 00 06 00 34 09 31 30 | 20 76 6f 6c 74 73 09 31 |....4.10| volts.1|
|00005ff0| 33 20 76 6f 6c 74 73 09 | 37 20 76 6f 6c 74 73 09 |3 volts.|7 volts.|
|00006000| 31 32 20 76 6f 6c 74 73 | 09 43 6f 6d 70 6f 6e 65 |12 volts|.Compone|
|00006010| 6e 74 73 20 41 20 74 6f | 20 44 20 61 72 65 20 69 |nts A to| D are i|
|00006020| 6e 20 73 65 72 69 65 73 | 2c 20 61 6e 64 20 45 20 |n series|, and E |
|00006030| 74 6f 20 47 20 61 72 65 | 20 70 61 72 61 6c 6c 65 |to G are| paralle|
|00006040| 6c 2e 20 57 68 61 74 20 | 69 73 20 74 68 65 20 76 |l. What |is the v|
|00006050| 6f 6c 74 61 67 65 20 64 | 72 6f 70 20 61 73 20 63 |oltage d|rop as c|
|00006060| 75 72 72 65 6e 74 20 66 | 6c 6f 77 73 20 61 63 72 |urrent f|lows acr|
|00006070| 6f 73 73 20 63 6f 6d 70 | 6f 6e 65 6e 74 73 20 41 |oss comp|onents A|
|00006080| 20 74 68 72 6f 75 67 68 | 20 47 3f 09 30 09 00 00 | through| G?.0...|
|00006090| 00 00 00 00 00 00 00 00 | 02 00 06 00 31 09 34 2e |........|....1.4.|
|000060a0| 33 35 20 76 6f 6c 74 73 | 09 31 35 30 20 76 6f 6c |35 volts|.150 vol|
|000060b0| 74 73 09 35 30 20 76 6f | 6c 74 73 09 34 33 2e 35 |ts.50 vo|lts.43.5|
|000060c0| 20 76 6f 6c 74 73 09 43 | 6f 6d 70 6f 6e 65 6e 74 | volts.C|omponent|
|000060d0| 73 20 41 20 74 6f 20 44 | 20 61 72 65 20 69 6e 20 |s A to D| are in |
|000060e0| 73 65 72 69 65 73 2e 20 | 57 68 61 74 20 69 73 20 |series. |What is |
|000060f0| 74 68 65 20 76 6f 6c 74 | 61 67 65 20 64 72 6f 70 |the volt|age drop|
|00006100| 20 61 73 20 63 75 72 72 | 65 6e 74 20 66 6c 6f 77 | as curr|ent flow|
|00006110| 73 20 61 63 72 6f 73 73 | 20 63 6f 6d 70 6f 6e 65 |s across| compone|
|00006120| 6e 74 73 20 41 20 61 6e | 64 20 42 3f 09 30 09 00 |nts A an|d B?.0..|
|00006130| 00 00 00 00 00 00 00 00 | 00 02 00 06 00 32 09 32 |........|.....2.2|
|00006140| 2e 35 30 20 76 6f 6c 74 | 73 09 37 2e 32 35 20 76 |.50 volt|s.7.25 v|
|00006150| 6f 6c 74 73 09 37 32 2e | 35 20 76 6f 6c 74 73 09 |olts.72.|5 volts.|
|00006160| 35 30 20 76 6f 6c 74 73 | 09 43 6f 6d 70 6f 6e 65 |50 volts|.Compone|
|00006170| 6e 74 73 20 41 20 74 6f | 20 44 20 61 72 65 20 69 |nts A to| D are i|
|00006180| 6e 20 73 65 72 69 65 73 | 2e 20 57 68 61 74 20 69 |n series|. What i|
|00006190| 73 20 74 68 65 20 76 6f | 6c 74 61 67 65 20 64 72 |s the vo|ltage dr|
|000061a0| 6f 70 20 61 73 20 63 75 | 72 72 65 6e 74 20 66 6c |op as cu|rrent fl|
|000061b0| 6f 77 73 20 61 63 72 6f | 73 73 20 63 6f 6d 70 6f |ows acro|ss compo|
|000061c0| 6e 65 6e 74 73 20 41 20 | 74 68 72 6f 75 67 68 20 |nents A |through |
|000061d0| 43 3f 09 30 09 00 00 00 | 00 00 00 00 00 00 00 02 |C?.0....|........|
|000061e0| 00 06 00 33 09 31 2e 31 | 36 20 76 6f 6c 74 73 09 |...3.1.1|6 volts.|
|000061f0| 31 31 36 20 76 6f 6c 74 | 73 09 31 31 2e 36 20 76 |116 volt|s.11.6 v|
|00006200| 6f 6c 74 73 09 30 2e 31 | 31 36 20 76 6f 6c 74 73 |olts.0.1|16 volts|
|00006210| 09 43 6f 6d 70 6f 6e 65 | 6e 74 73 20 41 20 74 6f |.Compone|nts A to|
|00006220| 20 44 20 61 72 65 20 69 | 6e 20 73 65 72 69 65 73 | D are i|n series|
|00006230| 2e 20 57 68 61 74 20 69 | 73 20 74 68 65 20 76 6f |. What i|s the vo|
|00006240| 6c 74 61 67 65 20 64 72 | 6f 70 20 61 73 20 63 75 |ltage dr|op as cu|
|00006250| 72 72 65 6e 74 20 66 6c | 6f 77 73 20 61 63 72 6f |rrent fl|ows acro|
|00006260| 73 73 20 63 6f 6d 70 6f | 6e 65 6e 74 73 20 41 20 |ss compo|nents A |
|00006270| 74 68 72 6f 75 67 68 20 | 44 3f 09 30 09 00 00 00 |through |D?.0....|
|00006280| 00 00 00 00 00 00 00 02 | 00 06 00 33 09 32 2e 39 |........|...3.2.9|
|00006290| 20 76 6f 6c 74 73 09 31 | 32 20 76 6f 6c 74 73 09 | volts.1|2 volts.|
|000062a0| 35 2e 38 20 76 6f 6c 74 | 73 09 37 2e 34 20 76 6f |5.8 volt|s.7.4 vo|
|000062b0| 6c 74 73 09 43 6f 6d 70 | 6f 6e 65 6e 74 73 20 41 |lts.Comp|onents A|
|000062c0| 20 74 6f 20 44 20 61 72 | 65 20 69 6e 20 73 65 72 | to D ar|e in ser|
|000062d0| 69 65 73 2e 20 57 68 61 | 74 20 69 73 20 74 68 65 |ies. Wha|t is the|
|000062e0| 20 76 6f 6c 74 61 67 65 | 20 64 72 6f 70 20 61 73 | voltage| drop as|
|000062f0| 20 63 75 72 72 65 6e 74 | 20 66 6c 6f 77 73 20 61 | current| flows a|
|00006300| 63 72 6f 73 73 20 63 6f | 6d 70 6f 6e 65 6e 74 73 |cross co|mponents|
|00006310| 20 42 13 61 6e 64 20 43 | 3f 09 30 09 00 00 00 00 | B.and C|?.0.....|
|00006320| 00 00 00 00 00 00 02 00 | 06 00 31 09 37 2e 32 35 |........|..1.7.25|
|00006330| 20 76 6f 6c 74 73 09 31 | 2e 34 33 20 76 6f 6c 74 | volts.1|.43 volt|
|00006340| 73 09 36 2e 32 32 20 76 | 6f 6c 74 73 09 31 31 2e |s.6.22 v|olts.11.|
|00006350| 35 20 76 6f 6c 74 73 09 | 43 6f 6d 70 6f 6e 65 6e |5 volts.|Componen|
|00006360| 74 73 20 41 20 74 6f 20 | 44 20 61 72 65 20 69 6e |ts A to |D are in|
|00006370| 20 73 65 72 69 65 73 2e | 20 57 68 61 74 20 69 73 | series.| What is|
|00006380| 20 74 68 65 20 76 6f 6c | 74 61 67 65 20 64 72 6f | the vol|tage dro|
|00006390| 70 20 61 73 20 63 75 72 | 72 65 6e 74 20 66 6c 6f |p as cur|rent flo|
|000063a0| 77 73 20 61 63 72 6f 73 | 73 20 63 6f 6d 70 6f 6e |ws acros|s compon|
|000063b0| 65 6e 74 73 20 43 13 61 | 6e 64 20 44 3f 09 30 09 |ents C.a|nd D?.0.|
|000063c0| 00 00 00 00 00 00 00 00 | 00 00 02 00 06 00 33 09 |........|......3.|
|000063d0| 31 32 30 20 6f 68 6d 73 | 09 33 30 20 6f 68 6d 73 |120 ohms|.30 ohms|
|000063e0| 09 31 33 20 6f 68 6d 73 | 09 30 2e 31 33 20 6f 68 |.13 ohms|.0.13 oh|
|000063f0| 6d 73 09 57 68 61 74 20 | 69 73 20 74 68 65 20 63 |ms.What |is the c|
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