Elementary Algebra
17th Edition
ISBN: 9780998625713
Author: Lynn Marecek, MaryAnne Anthony-Smith
Publisher: OpenStax - Rice University
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Textbook Question
Chapter 8.1, Problem 8.17TI
Simplify:
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Chapter 8 Solutions
Elementary Algebra
Ch. 8.1 - Determine the values for which the rational...Ch. 8.1 - Determine the values for which the rational...Ch. 8.1 - Evaluate y+12y3 for each value: a. y=1b. y=3c. y=0Ch. 8.1 - Evaluate 5x12x+1 for each value: a. x=1b. x=1 c....Ch. 8.1 - Evaluate x2+1x23x+2 for each value: a. x=0 b. x=1 ...Ch. 8.1 - Evaluate x2+x6x29 for each value: a. x=0b. x=2 c....Ch. 8.1 - Evaluate 2a3ba2+2ab+b2 for each value: a....Ch. 8.1 - Evaluate a2b28ab3 for each value: a. a=1,b=1 b....Ch. 8.1 - Simplify: 4581 .Ch. 8.1 - Simplify: 4254
Ch. 8.1 - Simplify: 4x2y12xy2 .Ch. 8.1 - Simplify: 16x2y2xy2 .Ch. 8.1 - Simplify: 3x62x4 .Ch. 8.1 - Simplify: 7y+355y+25 .Ch. 8.1 - Simplify: x2x2x23x+2 .Ch. 8.1 - Simplify: x23x10x2+x2Ch. 8.1 - Simplify: x2+x6x24Ch. 8.1 - Simplify: x2+8x+7x249 .Ch. 8.1 - Simplify: y33y2+y3y2y6 .Ch. 8.1 - Simplify: p3p2+2p2p2+4p5 .Ch. 8.1 - Simplify: 2n210n4n216n20 .Ch. 8.1 - Simplify: 4x216x8x216x64 .Ch. 8.1 - Simplify: 2x212x+183x227 .Ch. 8.1 - Simplify: 5y230y+252y250 .Ch. 8.1 - Simplify : p364p216 .Ch. 8.1 - Simplify: x3+8x24 .Ch. 8.1 - Simplify: y22y .Ch. 8.1 - Simplify: n99n .Ch. 8.1 - Simplify: 102yy225 .Ch. 8.1 - Simplify: 3y2781y2 .Ch. 8.1 - Simplify: x24x525x2 .Ch. 8.1 - Simplify: x2+x21x2 .Ch. 8.1 - In the following exercises, determine the values...Ch. 8.1 - In the following exercises, determine the values...Ch. 8.1 - In the following exercises, determine the values...Ch. 8.1 - In the following exercises, determine the values...Ch. 8.1 - In the following exercises, evaluate the rational...Ch. 8.1 - In the following exercises, evaluate the rational...Ch. 8.1 - In the following exercises, evaluate the rational...Ch. 8.1 - In the following exercises, evaluate the rational...Ch. 8.1 - In the following exercises, evaluate the rational...Ch. 8.1 - In the following exercises, evaluate the rational...Ch. 8.1 - In the following exercises, evaluate the rational...Ch. 8.1 - In the following exercises, evaluate the rational...Ch. 8.1 - In the following exercises, evaluate the rational...Ch. 8.1 - In the following exercises, evaluate the rational...Ch. 8.1 - In the following exercises, evaluate the rational...Ch. 8.1 - In the following exercises, evaluate the rational...Ch. 8.1 - In the following exercises, simplify. 17. 452Ch. 8.1 - In the following exercises, simplify. 18. 4455Ch. 8.1 - In the following exercises, simplify. 19. 5663Ch. 8.1 - In the following exercises, simplify. 20. 65104Ch. 8.1 - In the following exercises, simplify. 21....Ch. 8.1 - In the following exercises, simplify. 22....Ch. 8.1 - In the following exercises, simplify. 23....Ch. 8.1 - In the following exercises, simplify. 24....Ch. 8.1 - In the following exercises, simplify. 25. 3a+64a+8Ch. 8.1 - In the following exercises, simplify. 26. 5b+56b+6Ch. 8.1 - In the following exercises, simplify. 27. 3c95c15Ch. 8.1 - In the following exercises, simplify. 28....Ch. 8.1 - In the following exercises, simplify. 29....Ch. 8.1 - In the following exercises, simplify. 30. 8n963n36Ch. 8.1 - In the following exercises, simplify. 31....Ch. 8.1 - In the following exercises, simplify. 32....Ch. 8.1 - In the following exercises, simplify. 33....Ch. 8.1 - In the following exercises, simplify. 34....Ch. 8.1 - In the following exercises, simplify. 35....Ch. 8.1 - In the following exercises, simplify. 36....Ch. 8.1 - In the following exercises, simplify. 37....Ch. 8.1 - In the following exercises, simplify. 38....Ch. 8.1 - In the following exercises, simplify. 39. y22y3y29Ch. 8.1 - In the following exercises, simplify. 40....Ch. 8.1 - In the following exercises, simplify. 41....Ch. 8.1 - In the following exercises, simplify. 42....Ch. 8.1 - In the following exercises, simplify. 43....Ch. 8.1 - In the following exercises, simplify. 44....Ch. 8.1 - In the following exercises, simplify. 45....Ch. 8.1 - In the following exercises, simplify. 46....Ch. 8.1 - In the following exercises, simplify. 47....Ch. 8.1 - In the following exercises, simplify. 48....Ch. 8.1 - In the following exercises, simplify. 49....Ch. 8.1 - In the following exercises, simplify. 50....Ch. 8.1 - In the following exercises, simplify. 51....Ch. 8.1 - In the following exercises, simplify. 52....Ch. 8.1 - In the following exercises, simplify. 53. t327t29Ch. 8.1 - In the following exercises, simplify. 54. v31v21Ch. 8.1 - In the following exercises, simplify. 55....Ch. 8.1 - In the following exercises, simplify. 56....Ch. 8.1 - In the following exercises, simplify each rational...Ch. 8.1 - In the following exercises, simplify each rational...Ch. 8.1 - In the following exercises, simplify each rational...Ch. 8.1 - In the following exercises, simplify each rational...Ch. 8.1 - In the following exercises, simplify each rational...Ch. 8.1 - In the following exercises, simplify each rational...Ch. 8.1 - In the following exercises, simplify each rational...Ch. 8.1 - In the following exercises, simplify each rational...Ch. 8.1 - In the following exercises, simplify each rational...Ch. 8.1 - In the following exercises, simplify each rational...Ch. 8.1 - In the following exercises, simplify each rational...Ch. 8.1 - In the following exercises, simplify each rational...Ch. 8.1 - Tax Rates For the tax year 2015, the amount of tax...Ch. 8.1 - Work The length of time it takes for two people...Ch. 8.1 - Explain how you find the values of x for which the...Ch. 8.1 - Explain all the steps you take to simplify the...Ch. 8.2 - Multiply: 6101512 .Ch. 8.2 - Multiply: 201568 .Ch. 8.2 - Multiply: 3pqq25p2q6pq .Ch. 8.2 - Multiply: 6x3y7x22xy3x2yCh. 8.2 - Multiply: 5xx2+5x+6x2410x .Ch. 8.2 - Multiply: 9x2x2+11x+30x2363x2 .Ch. 8.2 - Multiply: x225x23x10x+2x .Ch. 8.2 - Multiply: x24xx2+5x+6x+2x .Ch. 8.2 - Multiply: 12x6x2x2+8xx2+11x+24x24 .Ch. 8.2 - Multiply: 9v3v29v+36v2+7v+12v29 .Ch. 8.2 - Multiply: 3a21a29a+14a243a+6 .Ch. 8.2 - Multiply: b2bb2+9b10b2100b210b .Ch. 8.2 - Divide: c+35cc29c5 .Ch. 8.2 - Divide: 2dd44d24d .Ch. 8.2 - Divide: 2m2m28m8m2+24mm2+m6 .Ch. 8.2 - Divide: 15n23n2+33n5n5n2+9n22 .Ch. 8.2 - Divide: 3a28a3a2253a214a5a2+10a+25 .Ch. 8.2 - Divide: 4b2+7b21b24b2+15b4b22b+1 .Ch. 8.2 - Divide: x383x26x+12x246 .Ch. 8.2 - Divide: 2z2z21z3z2+zz31 .Ch. 8.2 - Divide: 2x214x164(x2+2x+1) .Ch. 8.2 - Divide: y26y+8y24y(3y212y) .Ch. 8.2 - Divide: 3x2+7x+24x+243x214x5x2+x30 .Ch. 8.2 - Divide: y2362y2+11y62y22y608y4 .Ch. 8.2 - Divide: 4m+43m15m23m10m24m3212m366m48 .Ch. 8.2 - Divide: 2n2+10nn1n2+10n+24n2+8n9n+48n2+12n .Ch. 8.2 - In the following exercises, multiply. 73. 1216410Ch. 8.2 - In the following exercises, multiply. 74. 3251624Ch. 8.2 - In the following exercises, multiply. 75. 1810430Ch. 8.2 - In the following exercises, multiply. 76. 21364524Ch. 8.2 - In the following exercises, multiply. 77....Ch. 8.2 - In the following exercises, multiply. 78....Ch. 8.2 - In the following exercises, multiply. 79....Ch. 8.2 - In the following exercises, multiply. 80....Ch. 8.2 - In the following exercises, multiply. 81....Ch. 8.2 - In the following exercises, multiply. 82....Ch. 8.2 - In the following exercises, multiply. 83....Ch. 8.2 - In the following exercises, multiply. 84....Ch. 8.2 - In the following exercises, multiply. 85....Ch. 8.2 - In the following exercises, multiply. 86....Ch. 8.2 - In the following exercises, multiply. 87....Ch. 8.2 - In the following exercises, multiply. 88....Ch. 8.2 - In the following exercises, multiply. 89....Ch. 8.2 - In the following exercises, multiply. 90....Ch. 8.2 - In the following exercises, multiply. 91....Ch. 8.2 - In the following exercises, multiply. 92....Ch. 8.2 - In the following exercises, multiply. 93....Ch. 8.2 - In the following exercises, multiply. 94....Ch. 8.2 - In the following exercises, multiply. 95....Ch. 8.2 - In the following exercises, multiply. 96....Ch. 8.2 - the following exercises, divide. 97. t63tt29t5Ch. 8.2 - In the following exercises, divide. 98....Ch. 8.2 - In the following exercises, divide. 99....Ch. 8.2 - In the following exercises, divide. 100....Ch. 8.2 - In the following exercises, divide. 101....Ch. 8.2 - In the following exercises, divide. 102....Ch. 8.2 - In the following exercises, divide. 103....Ch. 8.2 - In the following exercises, divide. 104....Ch. 8.2 - In the following exercises, divide. 105....Ch. 8.2 - In the following exercises, divide. 106....Ch. 8.2 - In the following exercises, divide. 107....Ch. 8.2 - In the following exercises, divide. 108....Ch. 8.2 - In the following exercises, divide. 109....Ch. 8.2 - In the following exercises, divide. 110....Ch. 8.2 - In the following exercises, divide. 111....Ch. 8.2 - In the following exercises, divide. 112....Ch. 8.2 - In the following exercises, divide. 113....Ch. 8.2 - In the following exercises, divide. 114....Ch. 8.2 - In the following exercises, divide. 115....Ch. 8.2 - In the following exercises, divide. 116....Ch. 8.2 - In the following exercises, divide. 117....Ch. 8.2 - In the following exercises, divide. 118....Ch. 8.2 - In the following exercises, divide. 119....Ch. 8.2 - In the following exercises, divide. 120....Ch. 8.2 - In the following exercises, divide. 121....Ch. 8.2 - In the following exercises, divide. 122....Ch. 8.2 - In the following exercises, divide. 123....Ch. 8.2 - In the following exercises, divide. 124....Ch. 8.2 - Probability The director of large company is...Ch. 8.2 - Area of a triangle The area of a triangle with...Ch. 8.2 - Multiply a. 74910 and explain all your steps. b....Ch. 8.2 - a. Divide 2456and explain all your steps. b....Ch. 8.3 - Add: 716+516 .Ch. 8.3 - Add: 310+110 .Ch. 8.3 - Add: 5x2x+3+22x+3 .Ch. 8.3 - Add; xx2+1x2 .Ch. 8.3 - Add; 9x+14x+7+x2x+7 .Ch. 8.3 - Add: x2+8xx+5+15x+5 .Ch. 8.3 - Subtract: x2x+39x+3 .Ch. 8.3 - Subtract: 4x22x5252x5 .Ch. 8.3 - Subtract: n2n4n+12n4 .Ch. 8.3 - Subtract: y2y19y8y1 .Ch. 8.3 - Subtract: 4x211x+8x23x+23x2+x3x23x+2 .Ch. 8.3 - Subtract: 6x2x+20x2815x2+11x7x281 .Ch. 8.3 - Add: 8x152x5+2x52x .Ch. 8.3 - Add: 6y2+7y104y7+2y2+2y+1174y .Ch. 8.3 - Subtract: y25yy246y64y2 .Ch. 8.3 - Subtract: 2n2+8n1n21n27n11n2 .Ch. 8.3 - In the following exercises, add. 129. 215+715Ch. 8.3 - In the following exercises, add. 130. 421+321Ch. 8.3 - In the following exercises, add. 131. 724+1124Ch. 8.3 - In the following exercises, add. 132. 736+1336Ch. 8.3 - In the following exercises, add. 133. 3aab+1abCh. 8.3 - In the following exercises, add. 134. 3c4c5+54c5Ch. 8.3 - In the following exercises, add. 135. dd+8+5d+8Ch. 8.3 - In the following exercises, add. 136. 7m2m+n+42m+nCh. 8.3 - In the following exercises, add. 137....Ch. 8.3 - In the following exercises, add. 138....Ch. 8.3 - In the following exercises, add. 139....Ch. 8.3 - In the following exercises, add. 140....Ch. 8.3 - In the following exercises, add. 141....Ch. 8.3 - In the following exercises, add. 142....Ch. 8.3 - In the following exercises, add. 143....Ch. 8.3 - In the following exercises, add. 144....Ch. 8.3 - In the following exercises, subtract. 145....Ch. 8.3 - In the following exercises, subtract. 146....Ch. 8.3 - In the following exercises, subtract. 147....Ch. 8.3 - In the following exercises, subtract. 148....Ch. 8.3 - In the following exercises, subtract. 149....Ch. 8.3 - In the following exercises, subtract. 150....Ch. 8.3 - In the following exercises, subtract. 151....Ch. 8.3 - In the following exercises, subtract. 152....Ch. 8.3 - In the following exercises, subtract. 153....Ch. 8.3 - In the following exercises, subtract. 154....Ch. 8.3 - In the following exercises, subtract. 155....Ch. 8.3 - In the following exercises, subtract. 156....Ch. 8.3 - In the following exercises, add. 157....Ch. 8.3 - In the following exercises, add. 158....Ch. 8.3 - In the following exercises, add. 159....Ch. 8.3 - In the following exercises, add. 160....Ch. 8.3 - In the following exercises, subtract. 161....Ch. 8.3 - In the following exercises, subtract. 162....Ch. 8.3 - In the following exercises, subtract. 163....Ch. 8.3 - In the following exercises, subtract. 164....Ch. 8.3 - Sarah ran 8 miles and then biked 24 miles. Her...Ch. 8.3 - If Pete can paint a wall in p hours, then in one...Ch. 8.3 - Donald thinks that 3x+4x is 72x . Is Donald...Ch. 8.3 - Explain how you find the Least Common Denominator...Ch. 8.4 - Find the LCD for 2x2x12 , 1x216 .Ch. 8.4 - Find the LCD for xx2+8x+15 , 5x2+9x+18 .Ch. 8.4 - Rewrite as equivalent rational expressions with...Ch. 8.4 - Rewrite as equivalent rational expressions with...Ch. 8.4 - Add: 1130+712 .Ch. 8.4 - Add: 38+920 .Ch. 8.4 - Add: 215a2b+56ab2 .Ch. 8.4 - Add: 516c+38cd2 .Ch. 8.4 - Add: 2x2+5x+3 .Ch. 8.4 - Add: 4m+3+3m+4 .Ch. 8.4 - Add: 5xxyy2+2xx2+y2 .Ch. 8.4 - Add: 72m+6+4m2+4m+3 .Ch. 8.4 - Add: 1m2m2+5mm2+3m+2 .Ch. 8.4 - Add: 2nn23n10+6n2+5n+6 .Ch. 8.4 - Subtract: yy+4y2y5 .Ch. 8.4 - Subtract: z+3z+2zz+3 .Ch. 8.4 - Subtract: 2xx241x+2 .Ch. 8.4 - Subtract: 3z+36zz29 .Ch. 8.4 - Subtract: 3x1x25x626x .Ch. 8.4 - Subtract: 2y2y2+2y8y12y .Ch. 8.4 - Subtract: 2x+1x73 .Ch. 8.4 - Subtract: 4y+32y15Ch. 8.4 - Simplify: vv+1+3v16v21 .Ch. 8.4 - Simplify: 3ww+2+2w+717w+4w2+9w+14 .Ch. 8.4 - In the following exercises, find the LCD. 169....Ch. 8.4 - In the following exercises, find the LCD. 170....Ch. 8.4 - In the following exercises, find the LCD. 171....Ch. 8.4 - In the following exercises, find the LCD. 172....Ch. 8.4 - In the following exercises, find the LCD. 173....Ch. 8.4 - the following exercises, find the LCD. 174....Ch. 8.4 - In the following exercises, find the LCD. 175....Ch. 8.4 - In the following exercises, find the LCD. 176....Ch. 8.4 - In the following exercises, write as equivalent...Ch. 8.4 - In the following exercises, write as equivalent...Ch. 8.4 - In the following exercises, write as equivalent...Ch. 8.4 - In the following exercises, write as equivalent...Ch. 8.4 - In the following exercises, write as equivalent...Ch. 8.4 - In the following exercises, write as equivalent...Ch. 8.4 - In the following exercises, write as equivalent...Ch. 8.4 - In the following exercises, write as equivalent...Ch. 8.4 - In the following exercises, add. 185. 524+1136Ch. 8.4 - In the following exercises, add. 186. 730+1345Ch. 8.4 - In the following exercises, add. 187. 920+1130Ch. 8.4 - In the following exercises, add. 188. 827+718Ch. 8.4 - In the following exercises, add. 189....Ch. 8.4 - In the following exercises, add. 190....Ch. 8.4 - In the following exercises, add. 191. 12m+78m2nCh. 8.4 - In the following exercises, add. 192. 56p2q+14pCh. 8.4 - In the following exercises, add. 193. 3r+4+2r5Ch. 8.4 - In the following exercises, add. 194. 4s7+5s+3Ch. 8.4 - In the following exercises, add. 195. 8t+5+6t5Ch. 8.4 - In the following exercises, add. 196. 7v+5+9v5Ch. 8.4 - In the following exercises, add. 197. 53w2+2w+1Ch. 8.4 - In the following exercises, add. 198. 42x+5+2x1Ch. 8.4 - In the following exercises, add. 199. 2yy+3+3y1Ch. 8.4 - In the following exercises, add. 200. 3zz2+1z+5Ch. 8.4 - In the following exercises, add. 201....Ch. 8.4 - In the following exercises, add. 202. 4cd+3c+1d29Ch. 8.4 - In the following exercises, add. 203....Ch. 8.4 - In the following exercises, add. 204. 34n+4+6n2n2Ch. 8.4 - In the following exercises, add. 205....Ch. 8.4 - In the following exercises, add. 206....Ch. 8.4 - In the following exercises, add. 207....Ch. 8.4 - In the following exercises, add. 208....Ch. 8.4 - In the following exercises, subtract. 209....Ch. 8.4 - In the following exercises, subtract. 210....Ch. 8.4 - In the following exercises, subtract. 211....Ch. 8.4 - In the following exercises, subtract. 212....Ch. 8.4 - In the following exercises, subtract. 213....Ch. 8.4 - In the following exercises, subtract. 214....Ch. 8.4 - In the following exercises, subtract. 215....Ch. 8.4 - In the following exercises, subtract. 216....Ch. 8.4 - In the following exercises, subtract. 217....Ch. 8.4 - In the following exercises, subtract. 218....Ch. 8.4 - In the following exercises, subtract. 219....Ch. 8.4 - In the following exercises, subtract. 220....Ch. 8.4 - In the following exercises, subtract. 221....Ch. 8.4 - In the following exercises, subtract. 222....Ch. 8.4 - In the following exercises, subtract. 223....Ch. 8.4 - In the following exercises, subtract. 224....Ch. 8.4 - In the following exercises, subtract. 225. 5v2v+34Ch. 8.4 - In the following exercises, subtract. 226....Ch. 8.4 - In the following exercises, subtract. 227....Ch. 8.4 - In the following exercises, subtract. 228....Ch. 8.4 - In the following exercises, add and subtract. 229....Ch. 8.4 - In the following exercises, add and subtract. 230....Ch. 8.4 - In the following exercises, add and subtract. 231....Ch. 8.4 - In the following exercises, add and subtract. 232....Ch. 8.4 - In the following exercises, simplify. 233....Ch. 8.4 - In the following exercises, simplify. 234....Ch. 8.4 - In the following exercises, simplify. 235....Ch. 8.4 - In the following exercises, simplify. 236....Ch. 8.4 - In the following exercises, simplify. 237....Ch. 8.4 - In the following exercises, simplify. 238....Ch. 8.4 - In the following exercises, simplify. 239....Ch. 8.4 - In the following exercises, simplify. 240....Ch. 8.4 - In the following exercises, simplify. 241....Ch. 8.4 - In the following exercises, simplify. 242....Ch. 8.4 - In the following exercises, simplify. 243....Ch. 8.4 - In the following exercises, simplify. 244....Ch. 8.4 - In the following exercises, simplify. 245....Ch. 8.4 - In the following exercises, simplify. 246. 3y1y+42Ch. 8.4 - In the following exercises, simplify. 247....Ch. 8.4 - In the following exercises, simplify. 248....Ch. 8.4 - In the following exercises, simplify. 249....Ch. 8.4 - In the following exercises, simplify. 250....Ch. 8.4 - Decorating cupcakes Victoria can decorate an order...Ch. 8.4 - Kayaking When Trina kayaks upriver, it takes her...Ch. 8.4 - Felipe thinks 1x+1y is 2x+y . a. Choose numerical...Ch. 8.4 - Simplify the expression 4n2+6n+91n29 and explain...Ch. 8.5 - Simplify: 2x213x+1 .Ch. 8.5 - Simplify: 1x27x+122x4 .Ch. 8.5 - Simplify: 12+2356+112 .Ch. 8.5 - Simplify: 341318+56 .Ch. 8.5 - Simplify: 1x+1y1x1y .Ch. 8.5 - Simplify: 1a+1b1a21b2 .Ch. 8.5 - Simplify: b3bb+52b+5+1b5 .Ch. 8.5 - Simplify: 13c+41c+4+c3 .Ch. 8.5 - Simplify: 12+15110+15 .Ch. 8.5 - Simplify: 14+3812516 .Ch. 8.5 - Simplify: 1a+1babba .Ch. 8.5 - Simplify: 1x21y21x+1y .Ch. 8.5 - Simplify: 3x+25x2+3x24 .Ch. 8.5 - Simplify: 2x71x+76x+71x249 .Ch. 8.5 - Simplify: 3x2+7x+104x+2+1x+5Ch. 8.5 - Simplify: 4yy+5+2y+63yy2+11y+30 .Ch. 8.5 - Simplify: xx+31+1x+3 .Ch. 8.5 - Simplify: 1+1x13x+1 .Ch. 8.5 - In the following exercises, simplify. 255....Ch. 8.5 - In the following exercises, simplify. 256....Ch. 8.5 - In the following exercises, simplify. 257....Ch. 8.5 - In the following exercises, simplify. 258....Ch. 8.5 - In the following exercises, simplify. 259....Ch. 8.5 - In the following exercises, simplify. 260....Ch. 8.5 - In the following exercises, simplify. 261....Ch. 8.5 - In the following exercises, simplify. 262....Ch. 8.5 - In the following exercises, simplify. 263....Ch. 8.5 - In the following exercises, simplify. 264....Ch. 8.5 - In the following exercises, simplify. 265....Ch. 8.5 - In the following exercises, simplify. 266....Ch. 8.5 - In the following exercises, simplify. 267....Ch. 8.5 - In the following exercises, simplify. 268....Ch. 8.5 - In the following exercises, simplify. 269....Ch. 8.5 - In the following exercises, simplify. 270....Ch. 8.5 - In the following exercises, simplify. 271....Ch. 8.5 - In the following exercises, simplify. 272....Ch. 8.5 - In the following exercises, simplify. 273....Ch. 8.5 - In the following exercises, simplify. 274....Ch. 8.5 - In the following exercises, simplify. 275....Ch. 8.5 - In the following exercises, simplify. 276....Ch. 8.5 - In the following exercises, simplify. 277....Ch. 8.5 - In the following exercises, simplify. 278....Ch. 8.5 - In the following exercises, simplify. 279....Ch. 8.5 - In the following exercises, simplify. 280....Ch. 8.5 - In the following exercises, simplify. 281....Ch. 8.5 - In the following exercises, simplify. 282....Ch. 8.5 - In the following exercises, simplify. 283....Ch. 8.5 - In the following exercises, simplify. 284....Ch. 8.5 - In the following exercises, simplify. 285....Ch. 8.5 - In the following exercises, simplify. 286....Ch. 8.5 - In the following exercises, simplify. 287....Ch. 8.5 - In the following exercises, simplify. 288....Ch. 8.5 - In the following exercises, simplify. 289....Ch. 8.5 - In the following exercises, simplify. 290....Ch. 8.5 - In the following exercises, use either method....Ch. 8.5 - In the following exercises, use either method....Ch. 8.5 - In the following exercises, use either method....Ch. 8.5 - In the following exercises, use either method....Ch. 8.5 - In the following exercises, use either method....Ch. 8.5 - In the following exercises, use either method....Ch. 8.5 - In the following exercises, use either method....Ch. 8.5 - In the following exercises, use either method....Ch. 8.5 - Electronics The resistance of a circuit formed by...Ch. 8.5 - Ironing Lenore can do the ironing for her family’s...Ch. 8.5 - In this section, you learned to simplify the...Ch. 8.5 - Efraim wants to start simplifying the complex...Ch. 8.6 - Solve: 1y+23=15 .Ch. 8.6 - Solve: 23+15=1x .Ch. 8.6 - Solve: 12a=15a2 .Ch. 8.6 - Solve: 14b=12b2 .Ch. 8.6 - Solve: 1x1=23x .Ch. 8.6 - Solve: 35n+1=23n .Ch. 8.6 - Solve: 2x+1+1x1=1x21 .Ch. 8.6 - Solve: 5y+3+2y3=5y29 .Ch. 8.6 - Solve: 2x+51x1=1 .Ch. 8.6 - Solve: 3x+82x2=1 .Ch. 8.6 - Solve: x+13x27x+10=6x54x2 .Ch. 8.6 - Solve: y14y2+3y4=2y+4+7y1 .Ch. 8.6 - Solve: x18+x+69x=23x .Ch. 8.6 - Solve: y+55y+y15=1y .Ch. 8.6 - Solve: xx+4=32x216+5 .Ch. 8.6 - Solve: yy+8=128y264+9 .Ch. 8.6 - Solve: y5y1053y+6=2y219y+5415y260 .Ch. 8.6 - Solve: z2z+834z8=3z216z68z2+8z64 .Ch. 8.6 - Solve: AL=W for L.Ch. 8.6 - Solve: FA=W for A.Ch. 8.6 - Solve: y2x+1=23 for x.Ch. 8.6 - Solve: x=y1y for y.Ch. 8.6 - Solve: 1a+1b=c for a.Ch. 8.6 - Solve: 2x+13=1y for y.Ch. 8.6 - In the following exercises, solve. 303. 1a+25=12Ch. 8.6 - In the following exercises, solve. 304. 56+3b=13Ch. 8.6 - In the following exercises, solve. 305. 521c=34Ch. 8.6 - In the following exercises, solve. 306. 632d=49Ch. 8.6 - In the following exercises, solve. 307. 45+14=2vCh. 8.6 - In the following exercises, solve. 308. 37+23=1wCh. 8.6 - In the following exercises, solve. 309. 79+1x=23Ch. 8.6 - In the following exercises, solve. 310. 38+2y=14Ch. 8.6 - In the following exercises, solve. 311. 12m=8m2Ch. 8.6 - In the following exercises, solve. 312. 1+4n=21n2Ch. 8.6 - In the following exercises, solve. 313. 1+9p=20p2Ch. 8.6 - In the following exercises, solve. 314. 17q=6q2Ch. 8.6 - In the following exercises, solve. 315. 1r+3=42rCh. 8.6 - In the following exercises, solve. 316. 3t6=1tCh. 8.6 - In the following exercises, solve. 317. 53v2=74vCh. 8.6 - In the following exercises, solve. 318. 82w+1=3wCh. 8.6 - In the following exercises, solve. 319....Ch. 8.6 - In the following exercises, solve. 320....Ch. 8.6 - In the following exercises, solve. 321....Ch. 8.6 - In the following exercises, solve. 322....Ch. 8.6 - In the following exercises, solve. 323. 1q+47q2=1Ch. 8.6 - In the following exercises, solve. 324. 3r+104r4=1Ch. 8.6 - In the following exercises, solve. 325. 1t+75t5=1Ch. 8.6 - In the following exercises, solve. 326. 2s+73s3=1Ch. 8.6 - In the following exercises, solve. 327....Ch. 8.6 - In the following exercises, solve. 328....Ch. 8.6 - In the following exercises, solve. 329....Ch. 8.6 - In the following exercises, solve. 330....Ch. 8.6 - In the following exercises, solve. 331....Ch. 8.6 - In the following exercises, solve. 332....Ch. 8.6 - In the following exercises, solve. 333....Ch. 8.6 - In the following exercises, solve. 334....Ch. 8.6 - In the following exercises, solve. 335....Ch. 8.6 - In the following exercises, solve. 336....Ch. 8.6 - In the following exercises, solve. 337....Ch. 8.6 - In the following exercises, solve. 338....Ch. 8.6 - In the following exercises, solve. 339....Ch. 8.6 - In the following exercises, solve. 340....Ch. 8.6 - In the following exercises, solve. 341....Ch. 8.6 - In the following exercises, solve. 342....Ch. 8.6 - In the following exercises, solve. 343. Cr=2 for rCh. 8.6 - In the following exercises, solve. 344. Ir=P for rCh. 8.6 - In the following exercises, solve. 345. Vh=lw for...Ch. 8.6 - In the following exercises, solve. 346. 2Ab=h for...Ch. 8.6 - In the following exercises, solve. 347. v+3w1=12...Ch. 8.6 - In the following exercises, solve. 348. x+52y=43...Ch. 8.6 - In the following exercises, solve. 349. a=b+3c2...Ch. 8.6 - In the following exercises, solve. 350. m=n2n for...Ch. 8.6 - In the following exercises, solve. 351. 1p+2q=4...Ch. 8.6 - In the following exercises, solve. 352. 3s+1t=2...Ch. 8.6 - In the following exercises, solve. 353. 2v+15=12...Ch. 8.6 - In the following exercises, solve. 354. 6x+23=1y...Ch. 8.6 - In the following exercises, solve. 354. m+3n2=45...Ch. 8.6 - In the following exercises, solve. 356. Ec=m2 for...Ch. 8.6 - In the following exercises, solve. 357. 3x5y=14...Ch. 8.6 - In the following exercises, solve. 358. RT=W for TCh. 8.6 - In the following exercises, solve. 359. r=s3t for...Ch. 8.6 - In the following exercises, solve. 360. c=2a+b5...Ch. 8.6 - House Painting Alain can paint a house in 4 days....Ch. 8.6 - Boating An can drive his boat 18 miles with the...Ch. 8.6 - Why is there no solution to the equation 3x2=5x2 ?Ch. 8.6 - Pete thinks the equation yy+6=72y236+4 has two...Ch. 8.7 - Solve the proportion: n84=1112 .Ch. 8.7 - Solve the proportion: y96=1312 .Ch. 8.7 - Solve the proportion: 91b=75 .Ch. 8.7 - Solve the proportion: 39c=138 .Ch. 8.7 - Solve the proportion: yy+55=38 .Ch. 8.7 - Solve the proportion: zz84=15 .Ch. 8.7 - Solve : v+308=v+6612 .Ch. 8.7 - Solve: 2x+159=7x+315 .Ch. 8.7 - Pediatricians prescribe 5 milliliters (ml) of...Ch. 8.7 - For every 1 kilogram (kg) of a child’s weight...Ch. 8.7 - At a fast-food restaurant, a 22-ounce chocolate...Ch. 8.7 - Yaneli loves Starburst candies, but wants to keep...Ch. 8.7 - yurianna is going to Europe and wants to change...Ch. 8.7 - Corey and Nicole are traveling to Japan and need...Ch. 8.7 - ABC is similar to XYZ The lengths of two sides of...Ch. 8.7 - ABC is similar to XYZ. The lengths of two sides of...Ch. 8.7 - On the map, Seattle. Portland, and Boise form a...Ch. 8.7 - Using the map above, find the distance from...Ch. 8.7 - A telephone pole casts a shadow that s 50 feet...Ch. 8.7 - A pine tree casts a shadow of 80 feet next to a...Ch. 8.7 - In the following exercises, solve. 365. x56=78Ch. 8.7 - In the following exercises, solve. 366. n91=813Ch. 8.7 - In the following exercises, solve. 367. 4963=z9Ch. 8.7 - In the following exercises, solve. 368. 5672=y9Ch. 8.7 - In the following exercises, solve. 369. 5a=65117Ch. 8.7 - In the following exercises, solve. 370. 4b=64144Ch. 8.7 - In the following exercises, solve. 371. 98154=7pCh. 8.7 - In the following exercises, solve. 372. 72156=6qCh. 8.7 - In the following exercises, solve. 373. a8=4248Ch. 8.7 - In the following exercises, solve. 374. b7=3042Ch. 8.7 - In the following exercises, solve. 375....Ch. 8.7 - In the following exercises, solve. 376....Ch. 8.7 - In the following exercises, solve. 377. aa+12=47Ch. 8.7 - In the following exercises, solve. 278. bb16=119Ch. 8.7 - In the following exercises, solve. 379. cc104=58Ch. 8.7 - In the following exercises, solve. 380. dd48=133Ch. 8.7 - In the following exercises, solve. 381....Ch. 8.7 - In the following exercises, solve. 382. n+104=40n6Ch. 8.7 - In the following exercises, solve. 383....Ch. 8.7 - In the following exercises, solve. 384. q22=2q718Ch. 8.7 - In the following exercises, solve. 385....Ch. 8.7 - In the following exercises, solve. 386. Brianna,...Ch. 8.7 - In the following exercises, solve. 387. A...Ch. 8.7 - In the following exercises, solve.388. Belle, a 13...Ch. 8.7 - In the following exercises, solve. 389. A new...Ch. 8.7 - In the following exercises, solve. 390. One 12...Ch. 8.7 - In the following exercises, solve. 391. A new 7...Ch. 8.7 - In the following exercises, solve. 392. Reese...Ch. 8.7 - In the following exercises, solve. 393. Janice is...Ch. 8.7 - In the following exercises, solve. 394. Todd is...Ch. 8.7 - In the following exercises, solve. 395. Steve...Ch. 8.7 - In the following exercises, solve. 396. Martha...Ch. 8.7 - In the following exercises, solve. 397. When...Ch. 8.7 - In the following exercises, solve. 398. A...Ch. 8.7 - In the following exercises, solve. 399. Ronald...Ch. 8.7 - In the following exercises, solve. 400. Sarah...Ch. 8.7 - In the following exercises, solve. 401. Elizabeth...Ch. 8.7 - In the following exercises, solve. 402. Ben needs...Ch. 8.7 - In the following exercises, solve. 403. A golden...Ch. 8.7 - In the following exercises, solve. 404....Ch. 8.7 - In the following exercises, solve. 405. Karen eats...Ch. 8.7 - In the following exercises, solve. 406. An oatmeal...Ch. 8.7 - In the following exercises, ABC is similar to XYZ...Ch. 8.7 - In the following exercises, ABC is similar to XYZ...Ch. 8.7 - In the following exercises, DEF is similar to NPQ...Ch. 8.7 - In the following exercises, DEF is similar to NPQ...Ch. 8.7 - In the following two exercises, use the map shown....Ch. 8.7 - In the following two exercises, use the map shown....Ch. 8.7 - In the following two exercises, use the map shown....Ch. 8.7 - In the following two exercises, use the map shown....Ch. 8.7 - In the following two exercises, use the map shown....Ch. 8.7 - In the following two exercises, use the map shown....Ch. 8.7 - In the following two exercises, use the map shown....Ch. 8.7 - In the following two exercises, use the map shown....Ch. 8.7 - Heart Rate At the gym, Carol takes her pulse for...Ch. 8.7 - Heart Rate Kevin wants to keep his heart rate at...Ch. 8.7 - Cost of a Road Trip Jesse’s car gets 30 miles per...Ch. 8.7 - Cost of a Road Trip Danny wants to drive to...Ch. 8.7 - Lawn Fertilizer Phil wants to fertilize his lawn....Ch. 8.7 - House Paint April wants to paint the exterior of...Ch. 8.7 - Cooking Natalia’s pasta recipe calls for 2 pounds...Ch. 8.7 - Heating Oil A 275 gallon oil tank costs $400 to...Ch. 8.7 - Marisol solves the proportion 144a=94 by ‘cross...Ch. 8.7 - Find a printed map and then write and solve an...Ch. 8.8 - Link can ride his bike 20 miles into a 3 mph...Ch. 8.8 - Judy can sail her boat 5 miles into a 7 mph...Ch. 8.8 - Dennis went cross-country skiing for 6 hours on...Ch. 8.8 - Tony drove 4 hours to his home, driving 208 miles...Ch. 8.8 - Kayla rode her bike 75 miles home from college one...Ch. 8.8 - Victoria jogs 12 miles to the park along a flat...Ch. 8.8 - One gardener can mow a golf course in 4 hours,...Ch. 8.8 - Carrie can weed the garden in 7 hours, while her...Ch. 8.8 - Two hoses can fill a swimming pool in 10 hours. It...Ch. 8.8 - Cara and Cindy, working together, can rake the...Ch. 8.8 - In the following exercises, solve uniform motion...Ch. 8.8 - In the following exercises, solve uniform motion...Ch. 8.8 - In the following exercises, solve uniform motion...Ch. 8.8 - In the following exercises, solve uniform motion...Ch. 8.8 - In the following exercises, solve uniform motion...Ch. 8.8 - In the following exercises, solve uniform motion...Ch. 8.8 - In the following exercises, solve uniform motion...Ch. 8.8 - In the following exercises, solve uniform motion...Ch. 8.8 - In the following exercises, solve uniform motion...Ch. 8.8 - In the following exercises, solve uniform motion...Ch. 8.8 - In the following exercises, solve uniform motion...Ch. 8.8 - In the following exercises, solve uniform motion...Ch. 8.8 - In the following exercises, solve uniform motion...Ch. 8.8 - In the following exercises, solve uniform motion...Ch. 8.8 - In the following exercises, solve uniform motion...Ch. 8.8 - In the following exercises, solve uniform motion...Ch. 8.8 - In the following exercises, solve uniform motion...Ch. 8.8 - In the following exercises, solve uniform motion...Ch. 8.8 - In the following exercises, solve work...Ch. 8.8 - In the following exercises, solve work...Ch. 8.8 - In the following exercises, solve work...Ch. 8.8 - In the following exercises, solve work...Ch. 8.8 - In the following exercises, solve work...Ch. 8.8 - In the following exercises, solve work...Ch. 8.8 - In the following exercises, solve work...Ch. 8.8 - In the following exercises, solve work...Ch. 8.8 - In the following exercises, solve work...Ch. 8.8 - In the following exercises, solve work...Ch. 8.8 - In the following exercises, solve work...Ch. 8.8 - In the following exercises, solve work...Ch. 8.8 - Dana enjoys taking her dog for a walk, but...Ch. 8.8 - Ken and Joe leave their apartment to go to a...Ch. 8.8 - In Example 8.83, the solution h=4 is crossed out....Ch. 8.8 - Paula and Yuki are roommates. It takes Paula 3...Ch. 8.9 - If y varies directly as x and y=3 , when x=10 ,...Ch. 8.9 - If y varies directly as x and y=12 when x=4 find...Ch. 8.9 - The number of calories, c, burned varies directly...Ch. 8.9 - The distance a moving body travels, d, varies...Ch. 8.9 - The distance that Brad travels varies directly...Ch. 8.9 - The weight of a liquid varies directly as its...Ch. 8.9 - The distance an object falls is directly...Ch. 8.9 - The area of a circle varies directly as the square...Ch. 8.9 - If p varies inversely with q and p=30 when q=12...Ch. 8.9 - If y varies inversely with x and y=8 when x=2 find...Ch. 8.9 - A car’s value varies inversely with its age. Elena...Ch. 8.9 - The time required to empty a pool varies inversely...Ch. 8.9 - The number of hours it takes for ice to melt...Ch. 8.9 - The force needed to break a board varies inversely...Ch. 8.9 - In the following exercises, solve. 463. If y...Ch. 8.9 - In the following exercises, solve. 464. If p...Ch. 8.9 - In the following exercises, solve. 465. If v...Ch. 8.9 - In the following exercises, solve. 466. If a...Ch. 8.9 - In the following exercises, solve. 467. If p...Ch. 8.9 - In the following exercises, solve. 468. If y...Ch. 8.9 - In the following exercises, solve. 469. If a...Ch. 8.9 - In the following exercises, solve. 470. If V...Ch. 8.9 - In the following exercises, solve. 471. The amount...Ch. 8.9 - In the following exercises, solve. 472. The price,...Ch. 8.9 - In the following exercises, solve. 473. Terri...Ch. 8.9 - In the following exercises, solve. 474. Joseph is...Ch. 8.9 - In the following exercises, solve. 475. The price...Ch. 8.9 - In the following exercises, solve. 476. The...Ch. 8.9 - In the following exercises, solve. 477. The mass...Ch. 8.9 - In the following exercises, solve. 478. The length...Ch. 8.9 - In the following exercises, solve. 479. The...Ch. 8.9 - In the following exercises, solve. 480. The...Ch. 8.9 - In the following exercises, solve. 481. The area...Ch. 8.9 - In the following exercises, solve. 482. The...Ch. 8.9 - In the following exercises, solve. 483. If v...Ch. 8.9 - In the following exercises, solve. 484. If p...Ch. 8.9 - In the following exercises, solve. 485. If v...Ch. 8.9 - In the following exercises, solve. 486. If a...Ch. 8.9 - Write an inverse variation equation to solve the...Ch. 8.9 - Write an inverse variation equation to solve the...Ch. 8.9 - Write an inverse variation equation to solve the...Ch. 8.9 - Write an inverse variation equation to solve the...Ch. 8.9 - Write an inverse variation equation to solve the...Ch. 8.9 - Write an inverse variation equation to solve the...Ch. 8.9 - Write an inverse variation equation to solve the...Ch. 8.9 - Write an inverse variation equation to solve the...Ch. 8.9 - If y varies directly as x and y=5, when x=3 .,...Ch. 8.9 - If v varies directly as w and v=21 , when w=8 ....Ch. 8.9 - If p vanes inversely with q and p=5when q=6 , find...Ch. 8.9 - If y varies inversely with x and y=11 when x=3...Ch. 8.9 - If p varies directly as q and p=10 , when q=2 ....Ch. 8.9 - If v varies inversely with w and v=18 when w=13...Ch. 8.9 - The force needed to break a board varies inversely...Ch. 8.9 - The number of hours it takes for ice to melt...Ch. 8.9 - The length a spring stretches varies directly with...Ch. 8.9 - The amount that June gets paid varies directly the...Ch. 8.9 - The fuel consumption (mpg) of a car varies...Ch. 8.9 - The volume of a gas in a container varies...Ch. 8.9 - The distance an object falls varies directly to...Ch. 8.9 - The area of the face of a Ferris wheel varies...Ch. 8.9 - Ride Service It costs $35 for a ride from the city...Ch. 8.9 - Road Trip The number of hours it takes Jack to...Ch. 8.9 - In your own words, explain the difference between...Ch. 8.9 - Make up an example from your life experience of...Ch. 8 - In the following exercises, determine the values...Ch. 8 - In the following exercises, determine the values...Ch. 8 - In the following exercises, determine the values...Ch. 8 - In the following exercises, determine the values...Ch. 8 - In the following exercises, evaluate the rational...Ch. 8 - In the following exercises, evaluate the rational...Ch. 8 - In the following exercises, evaluate the rational...Ch. 8 - In the following exercises, evaluate the rational...Ch. 8 - In the following exercises, simplify. 521. 1024Ch. 8 - In the following exercises, simplify. 522....Ch. 8 - In the following exercises, simplify. 523. 14a14a1Ch. 8 - In the following exercises, simplify. 524....Ch. 8 - In the following exercises, simplify. 525. c2c24c2Ch. 8 - In the following exercises, simplify. 526. d1616dCh. 8 - In the following exercises, simplify. 527....Ch. 8 - In the following exercises, simplify. 528....Ch. 8 - In the following exercises, multiply. 529. 38215Ch. 8 - In the following exercises, multiply. 530....Ch. 8 - In the following exercises, multiply. 531....Ch. 8 - In the following exercises, multiply. 532....Ch. 8 - In the following exercises, divide. 533....Ch. 8 - In the following exercises, divide. 534....Ch. 8 - In the following exercises, divide. 535....Ch. 8 - In the following exercises, divide. 536....Ch. 8 - In the following exercises, divide. 537....Ch. 8 - In the following exercises, divide. 538....Ch. 8 - In the following exercises, add. 539. 35+25Ch. 8 - In the following exercises, add. 540. 4a22a112a1Ch. 8 - In the following exercises, add. 541....Ch. 8 - In the following exercises, add. 542. 3xx1+2x1Ch. 8 - In the following exercises, subtract. 543....Ch. 8 - In the following exercises, subtract. 544....Ch. 8 - In the following exercises, subtract. 545....Ch. 8 - In the following exercises, subtract. 546....Ch. 8 - In the following exercises, add and subtract. 547....Ch. 8 - In the following exercises, add and subtract. 548....Ch. 8 - In the following exercises, add and subtract. 549....Ch. 8 - In the following exercises, add and subtract. 550....Ch. 8 - In the following exercises, find the LCD. 551....Ch. 8 - In the following exercises, find the LCD. 552....Ch. 8 - In the following exercises, find the LCD. 553....Ch. 8 - In the following exercises, rewrite as equivalent...Ch. 8 - In the following exercises, rewrite as equivalent...Ch. 8 - In the following exercises, rewrite as equivalent...Ch. 8 - In the following exercises, add. 557. 23+35Ch. 8 - In the following exercises, add. 558. 75a+32bCh. 8 - In the following exercises, add. 559. 2c2+9c+3Ch. 8 - In the following exercises, add. 560....Ch. 8 - In the following exercises, add. 561....Ch. 8 - In the following exercises, add. 562....Ch. 8 - In the following exercises, subtract and add. 563....Ch. 8 - In the following exercises, subtract and add. 564....Ch. 8 - In the following exercises, subtract and add. 565....Ch. 8 - In the following exercises, subtract and add. 566....Ch. 8 - In the following exercises, subtract and add. 567....Ch. 8 - In the following exercises, subtract and add. 568....Ch. 8 - In the following exercises, simplify. 569....Ch. 8 - In the following exercises, simplify. 570....Ch. 8 - In the following exercises, simplify. 571....Ch. 8 - In the following exercises, simplify. 572....Ch. 8 - In the following exercises, simplify. 573....Ch. 8 - In the following exercises, simplify. 574....Ch. 8 - In the following exercises, simplify. 575....Ch. 8 - In the following exercises, simplify. 576....Ch. 8 - In the following exercises, solve. 577. 12+23=1xCh. 8 - In the following exercises, solve. 578. 12m=8m2Ch. 8 - In the following exercises, solve. 579....Ch. 8 - In the following exercises, solve. 580. 3q+82q2=1Ch. 8 - In the following exercises, solve. 581....Ch. 8 - In the following exercises, solve. 582....Ch. 8 - In the following exercises, solve for the...Ch. 8 - In the following exercises, solve for the...Ch. 8 - In the following exercises, solve for the...Ch. 8 - In the following exercises, solve for the...Ch. 8 - In the following exercises, solve. 587. x4=35Ch. 8 - In the following exercises, solve. 588. 3y=95Ch. 8 - In the following exercises, solve. 589. ss+20=37Ch. 8 - In the following exercises, solve. 590. t35=t+29Ch. 8 - In the following exercises, solve using...Ch. 8 - In the following exercises, solve using...Ch. 8 - In the following exercises, solve. 593. ABC is...Ch. 8 - In the following exercises, solve. 594. On a map...Ch. 8 - In the following exercises, solve. 595. Tony is...Ch. 8 - In the following exercises, solve. 596. The height...Ch. 8 - In the following exercises, solve. 597. When...Ch. 8 - In the following exercises, solve. 598. Mark is...Ch. 8 - In the following exercises, solve. 599. John can...Ch. 8 - In the following exercises, solve. 600. Mark was...Ch. 8 - In the following exercises, solve. 601. Jerry can...Ch. 8 - In the following exercises, solve. 602. Lisa takes...Ch. 8 - In the following exercises, solve. 603. Jeffrey...Ch. 8 - In the following exercises, solve. 604. Sue and...Ch. 8 - In the following exercises, solve. 605. If y...Ch. 8 - In the following exercises, solve. 606. If y...Ch. 8 - In the following exercises, solve. 607. If m...Ch. 8 - In the following exercises, solve. 608. Vanessa is...Ch. 8 - In the following exercises, solve. 609. If the...Ch. 8 - In the following exercises, solve. 610. The...Ch. 8 - In the following exercises, solve. 611. The number...Ch. 8 - In the following exercises, solve. 612. On a...Ch. 8 - In the following exercises, simplify. 613....Ch. 8 - In the following exercises, simplify. 614....Ch. 8 - In the following exercises, perform the indicated...Ch. 8 - In the following exercises, perform the indicated...Ch. 8 - In the following exercises, perform the indicated...Ch. 8 - In the following exercises, perform the indicated...Ch. 8 - In the following exercises, perform the indicated...Ch. 8 - In the following exercises, perform the indicated...Ch. 8 - In the following exercises, solve each equation....Ch. 8 - In the following exercises, solve each equation....Ch. 8 - In the following exercises, solve each equation....Ch. 8 - In the following exercises, solve each equation....Ch. 8 - In the following exercises, solve each equation....Ch. 8 - In the following exercises, solve. 626. If y...Ch. 8 - In the following exercises, solve. 627. If y...Ch. 8 - In the following exercises, solve. 628. If y...Ch. 8 - In the following exercises, solve. 629. The...Ch. 8 - In the following exercises, solve each equation....Ch. 8 - In the following exercises, solve. 631. Kurt can...Ch. 8 - In the following exercises, solve. 632. Amanda...Ch. 8 - In the following exercises, solve. 633. An...Ch. 8 - In the following exercises, solve. 634. Josh can...Ch. 8 - In the following exercises, solve. 635. The price...Ch. 8 - In the following exercises, solve. 636. The volume...Ch. 8 - In the following exercises, solve. 637. The cities...
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- In a national park, the current population of an endangered species of bear is 80. Each year, the population decreases by 10%. How can you model the population of bears in the park? # of years # of bears 9 10 2 3 4 5 6 7 8 ° 1 Graph your data. Remember to title your graph. What scale should be used on the y-axis? What scale should be used on the x-axis? SMOKY 19 OUNTAINS NATIONAL Exponential Decay Equation y = a(1-r)* PARKarrow_forwardOn Feb. 8, this year, at 6am in the morning all UiB meteorology professors met to discuss a highly unfortunate and top-urgent crisis: Their most precious instrument, responsible for measuring the air temperature hour-by- hour, had failed - what if the Bergen public would find out? How would they plan their weekend without up-to-date air temperature readings? Silent devastation - and maybe a hint of panic, also - hung in the room. Apprentice Taylor, who - as always - was late to the meeting, sensed that this was his chance to shine! Could they fake the data? At least for some hours (until the measurements would work again)? He used to spend a lot of time online and thus knew the value of fake data, especially when it spread fast! He reminded the crying professors of a prehistoric project with the title "Love your derivatives as you love yourself!" - back then, they had installed top-modern technology that not only measured the air temperature itself, but also its 1st, 2nd, 3rd, 4th, and…arrow_forwardConsider a forest where the population of a particular plant species grows exponentially. In a real-world scenario, we often deal with systems where the analytical function describing the phenomenon is not available. In such cases, numerical methods come in handy. For the sake of this task, however, you are provided with an analytical function so that you can compare the results of the numerical methods to some ground truth. The population P(t) of the plants at time t (in years) is given by the equation: P(t) = 200 0.03 t You are tasked with estimating the rate of change of the plant population at t = 5 years using numerical differentiation methods. First, compute the value of P'(t) at t = 5 analytically. Then, estimate P'(t) at t = 5 years using the following numerical differentiation methods: ⚫ forward difference method (2nd-order accurate) 3 ⚫ backward difference method (2nd-order accurate) ⚫ central difference method (2nd-order accurate) Use h = 0.5 as the step size and round all…arrow_forward
- Nicole organized a new corporation. The corporation began business on April 1 of year 1. She made the following expenditures associated with getting the corporation started: Expense Date Amount Attorney fees for articles of incorporation February 10 $ 40,500 March 1-March 30 wages March 30 6,550 March 1-March 30 rent Stock issuance costs March 30 2,850 April 1-May 30 wages Note: Leave no answer blank. Enter zero if applicable. April 1 May 30 24,000 16,375 c. What amount can the corporation deduct as amortization expense for the organizational expenditures and for the start-up costs for year 1 [not including the amount determined in part (b)]? Note: Round intermediate calculations to 2 decimal places and final answer to the nearest whole dollar amount. Start-up costs amortized Organizational expenditures amortizedarrow_forwardLast Chance Mine (LCM) purchased a coal deposit for $2,918,300. It estimated it would extract 18,950 tons of coal from the deposit. LCM mined the coal and sold it, reporting gross receipts of $1.24 million, $13 million, and $11 million for years 1 through 3, respectively. During years 1-3, LCM reported net income (loss) from the coal deposit activity in the amount of ($11,400), $550,000, and $502,500, respectively. In years 1-3, LCM extracted 19,950 tons of coal as follows: (1) Tons of Coal 18,950 Depletion (2) Basis (2)(1) Rate $2,918,300 $154.00 Tons Extracted per Year Year 1 4,500 Year 2 8,850 Year 3 6,600 Note: Leave no answer blank. Enter zero if applicable. Enter your answers in dollars and not in millions of dollars. a. What is LCM's cost depletion for years 1, 2, and 3? Cost Depletion Year 1 Year 2 Year 3arrow_forwardConsider the following equation. log1/9' =6 Find the value of x. Round your answer to the nearest thousandth. x = ✓arrow_forward
- Expanding a logarithmic expression: Problem type 3 Use the properties of logarithms to expand the following expression. 4(8+x)² log 5 ) Your answer should not have radicals or exponents. You may assume that all variables are positive. log 4(8 + X 5 -x)²arrow_forwardUse the properties of logarithms to expand the following expression. log 6(x+5)² 3/24 Your answer should not have radicals or exponents. You may assume that all variables are positive. log 6(x + 3 I 4 5)² log Xarrow_forwardExpanding a logarithmic expression: Problem type 2 Use the properties of logarithms to expand the following expression. 3 yz log 5 x 0/3 An Each logarithm should involve only one variable and should not have any radicals or exponents. You may assume that all variables are positive. log yz 3 厚 5 Explanation Check log ☑ 2025 MG ¿W MIII LLC. All Rights Reserved. Terms of Use | Privacy Centerarrow_forward
- Expanding a logarithmic expression: Problem type 2 Use the properties of logarithms to expand the following expression. 3 yz log 5 x 0/3 An Each logarithm should involve only one variable and should not have any radicals or exponents. You may assume that all variables are positive. log yz 3 厚 5 Explanation Check log ☑ 2025 MG ¿W MIII LLC. All Rights Reserved. Terms of Use | Privacy Centerarrow_forwardWhat is the domain and range, thank you !!arrow_forwardAssume a bivariate patch p(u, v) over the unit square [0, 1]² that is given as a tensor product patch where u-sections (u fixed to some constant û; v varying across [0, 1]) are quadratic polynomials Pu:û(v) = p(û, v) while v-sections are lines pv:ô (u) = p(u, v). The boundary lines pv:o(u) and pv:1 (u) are specified by their end points p(0,0) 0.8 and p(1,0) 0.2 as well as p(0, 1) 0.3 and p(1, 1) = 0.8. The boundary quadratics pu:o(v) and pu:1 (v) interpolate p(0,0.5) = 0.1 and p(1, 0.5) = 0.9 in addition to the above given four corner-values. = = = Use Pu:û(v) = (1, v, v² ) Mq (Pu:û(0), Pu:û (0.5), Pu:û(1)) with Ma = 1 0 0 -3 4-1 2 4 2 (Pv:ô as well as pu: (u) = (1, u) M₁ (pv:v (0), P: (1)) with M₁ = = (19) 0 to formulate p(u, v) using the "geometric input" G with G = = (P(0,0%) p(0,0) p(0,0.5) p(0,1) ) = ( 0.39 0.8 0.1 0.3 0.2 0.9 0.8 p(1,0) p(1, 0.5) p(1, 1) See the figure below for (left) a selection of iso-lines of p(u, v) and (right) a 3D rendering of p(u, v) as a height surface…arrow_forward
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