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41c. P(exactly 20 meters from the starting point) C(10, 6) 1 2 6 1 2 4 C(10, 4) 1 2 4 1 2 61 11 210 6 4 1 6 210 1 6 1 6 4 0.4142. P(sum less than 9 ⏐ both cubes are the same)43 6 —63 6 2 3 43. P(letter is contained in house or phone)5 5 3 2 6 2 6 2 67 2 644a. 80, 75, 70, . . .44b. T 80 5n44c. T 125n 4 0,0001 000or 40125 g 5(40)75 g; 75° F45. 3 x 1 6 x(x 1)log 3 x log 6x log 3 log 3 x log 6x log 3 x log 6 log 3x(log 3 log 6) log 3log3x log 3 log 6x 0.3846. h 0, k 3, a 7, b 5, c 26Center: (0, 3)Foci: (26, 3)Vertices: major axis → (7, 3) and (7, 3)minor axis → (0, 2) and (0, 8)47. 2cos 2 i sin 2 2 0 2 i 0 2iu48. WX 6 8, 5 (3) or 2, 8u⏐WX ⏐ (6 ) 8 2 (5 (3)) 2 (2) 2 8 249.71 cm 68 or 217106˚55 cmdd 2 71 2 55 2 2(71)(55) cos 106°d 101.1 cm71 cm74˚106˚55 cmdd 2 71 2 55 2 2(71)(55) cos 74°d 76.9 cm50. 4⏐ 1 12 21 62 724 32 44 721 8 11 18 ⏐ 0Since the remainder is 0, x 4 is a factor of thepolynomial.Area of page for textArea of entire page51. The answer is 7/12.63 1 08 172 Chapter 13 Study Guide and AssessmentPage 881 Understanding the Vocabulary1. independent 2. failure3. 1 4. probability5. permutation 6. permutation withrepetitions7. mutually exclusive 8. sample space9. conditional 10. combinatoricsPages 882–884 Skills and Concepts11. Using the Basic Counting Principle, 3 2 1 or 6.12. Using the Basic Counting Principle, 5 4 3 2 1or 120.13. Using the Basic Counting Principle,6 5 4 3 2 1 or 720.6!14. P(6, 3) (6 1208!15. P(8, 6) (8 3)!6 5 4 3 2 13 2 1 20,1605!16. C(5, 3) (5 3)! 3! 5 4 3 2 12 1 3 2 1 1011!17. C(11, 8) (11 6)!8 7 6 5 4 3 2 12 18)! 8!11 10 9 8 7 6 5 4 3 2 13 2 1 8 7 6 5 4 3 2 1 1656!18. P ( 6,3)(6 3)!P(5,3) 5! (5 3)!6 5 4 3 2 1 2 1 5 4 3 2 1 3 2 1 25!19. C(5, 5) C(3, 2) (5 (9 1 1)(12 1.5 1.5)9 12 1 1 3 1 33!5)! 5! (3 2)! 2! 2 1 2 1453 Chapter 13
20. There are P(5, 5) ways to arrange the other booksif the dictionary is on the left end. The same istrue if the dictionary is on the right end.5!2 P(5, 5) 2 (5 5)! 2 1 2 5 4 3 1 2403!21. C(3, 2) C(7, 2) (3 5!22. 2! 2! 5 4 3 2 12 1 2 1 3010!23. 2! 3!3!24. 8 !2!6!25. 3! 2!9!26. 3! 2! 50,400 20,160 60 30,24027. P(3 pennies) 7!2)! 2! (7 2)! 2! 3 2 11 2 1 3 21 or 6328. P(2 pennies and 1 nickel) 29. P(3 nickels) 30. P(1 nickel and 2 dimes) 31. P(s) 116odds 11 6— 11 561 1 5; P(f) 1 1332. P(s) 2 0;P(f) 1 2odds 70 3 1 7133. P(s) 1 40 ; P(f) 1 1odds 8 7 6 5 4 3 2 12 16 5 4 3 2 13 2 1 2 19 8 7 6 5 4 3 2 13 2 1 2 132 0— 1 72 01 1 40 — 1 391401 1 39 10 9 8 7 6 5 4 3 2 12 1 3 2 1 3 2 1C(7, 3) C(4, 0) C(5, 0)C(16, 3) 35 1 15601 1 6C(7, 2) C(4, 1) C(5, 0)C(16, 3) 21 4 15603 2 0C(7, 0) C(4, 3) C(5, 0)C(16, 3) 1 4 15601 1 40 C(7, 0) C(4, 1) C(5, 2)C(16, 3) 1 4 105601 1 45639407 6 5 4 3 2 15 4 3 2 1 2 1134. P(s) 1;4P(f) 1 1odds 114— 11 341 1 335. independent, P(sum of 2) P(sum of 6)341 5 3 6 3 65 12 9636. dependent, P(two yellow markets)4 1 0 3 9 2 1 537. P(selecting a prime number or a multiple of 4) P(prime number) P(a multiple of 4)6 3 1 4 1 49 1 438. P(selecting a multiple of 2 or a multiple of 3) P(multiple of 2) P(multiple of 3) P(multiple of 2 and 3)7 4 2 1 4 1 4 1 49 1 439. P(selecting a 3 or a 4) P(3) or P(4)1 1 1 4 1 4 1 7 40. P(selecting an 8 or a number less than 8) P(8) P(less than 8)1 7 1 4 1 4 4 7 41. P(sum less than 5 ⏐ exactly one cube shows 1)43 6— 1 03 2 5 43—653 6 4 5 43 6— 3 036 42. P(different numbers ⏐ sum is 8) 43. P(numbers match ⏐ sum is greater than or equalto 5)6 2 1 544. P(exactly 1 head) C(4, 1) 1 2 1 1 2 3 4 1 2 1 4 1 8 45. P(no heads) C(4, 0) 1 2 0 1 2 41 1 1 1 61 1 6Chapter 13 454
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Copyright © by The McGraw-Hill Com
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16b.Weight(lb)300280260240220200180
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54e. t(30,000) 95 0.005(30,000)55
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15. [f g](x) f(g(x)) f(x 4) (x
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4. Sample answer: Both graphs are l
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24. 9x 5 09x 5x 5 9 The y-interc
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27b. Using sample answer from part
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13. y 7x 5 0 y 7x 9 0y 7x 5
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4b. Sample answer: using (1995, 229
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19. The y-intercept is 1.The slope
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22.x f(x)5 63 01 60 91 63 05 623. S
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8a. c(m) 45 0.4m8b. c(m)7014.y605
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Chapter 1 Study Guide and Assessmen
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37. 7x 2y 5y7x 2y 5O38. The y-in
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Page 61 Applications and Problem So
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Chapter 2 Systems of Linear Equatio
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32b. S 4V 0 S V 30,000S 4V 4V
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9. 7(x 3y 2z) 7(16) x 3y 2z 1
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23. x yz 2y xz 2z xy 2x yz
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26. 2 w 5 x z 16 43y 8 6 2x 8
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2 351a. a b 2 34 5 c d 4 52(a)
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4. See students’ work for graphs.
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18a. 4 0 2 6 6 6 2 6 4 131222F(
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c 1 1,where c is the number of squa
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4 1 23 5 y 2420. 4 2 1 (1) 0 1
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52. Let x represent Jessi’s first
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13.14.y 0.5x 1O 3 5 , 3 1 5 ,
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28a. 3 is $3 profit on each batch o
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13e. $77614a. Let x the number of
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Pages 120-122 Skills and Concepts11
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2 545. x 11 3 y 21 3 5 1 3 52
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6. Start by simplifying the fractio
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18. f(x) 7x 5 8x12. ⏐y⏐ x 3
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33. y 2 3x 0 → b 2 3a 0x-axis
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9a. translated up 3 units, portion
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37c. 0.642a. (1) y x 2 (2) y x 3(
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19. y x 2 y x 20 ? 0 2 4 ? 1
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53. Student A 15Student B 1 3 (
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14b. r 1 1 or 0.0323; 3.23%Pages 1
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30. f(x) x 2 4x 3y x 2 4x 3x
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47d. C 1 (x) (x 2) 2 3C 1 (1) (
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28.33b. Since f is odd, its graph m
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6. {all real numbers x⏐x 6 or x 2
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23. rel. max.: (1, 1); rel. min.: (
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3-7Pages 185-1861.Graphs of Rationa
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26. The parent graph is translated
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56. Let x the width of each card a
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The correct choice is D.Chapter 3 S
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42.52. x 1 y x x1y x x x x
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3a. Sample answer:(2, 1)y(0, 0)O3b.
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Chapter 4 Polynomial and Rational F
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43. 3; n 3 9n 0n(n 2 9) 0n(n 3
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65. [f g](x) f(g(x)) f 1 2 x 6
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29. x 2 3x 28 0(x 7)(x 4) 0x
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Pages 226-228 Exercises14. 7⏐ 1 2
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6. p: 1, 3q: 1, 2 P q : 1, 3, 1 2
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24b. V() 2 3 9 2 42208 2 3 9 2
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11b. V w h 1.5V 1.5(3750)V 25
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37a. f (x)100,00080,00060,00040,000
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18. 1 1 1aa a 11 aa a 11(1 a)
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1 1 832. 2b 1 b 1 1 51 1 8 2b
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53b. Let x short answer questions
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21. a1 2 1 a2 1a 21 2a1 2 1
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38c. No; it is not a linear functio
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23b. Sample answer:f(x) 0.109x 2
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29. p: 1, 3q: 1, 2 p q : 1, 3, 1
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50. 3 4a 1 8 5 Check: 3 4a 1
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8. You can solve this problem using
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40. 217° 360k; Sample answers:217
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Pages 287-288 Check for Understandi
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31c. 87.5° 40.5° 47°49.5° 25
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23. terminal side — Quadrant IIre
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36. r x 2 y r x 2 y r 56) 2 (
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3. ∠DCB; ∠ABC; the measures are
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34.yOy |x 2|x35. Let x the cost
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35. — 1 2 — (14) 7base angles:
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2. Sample answer:Cb35˚A103. Area o
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34. x90° 63° 27°55˚ 63˚ 180
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9. Since 130° 90°, consider Case
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27. Since 47° 90°, consider Case
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41. tan 22° 7 4. Sample answers:
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15. b 2 a 2 c 2 2ac cos B13.7 2
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C could also equal 180 76.27180414
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34. r x 2 y 2 r 5 2 0 2 43. a 2
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58. b 2 a 2 c 2 2ac cos By 2 1b
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Chapter 6 Graphs of Trigonometric F
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60. 3.5 km 350,000 cms rv350,000
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38b. lighter child: v rqv 9(1.2)v
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32. y1y cos xO 8 9133.y cos x5 43
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2 x60. x 2 2 x 2 4x x2 41(x 2
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13. ⏐A⏐ 7 2 k 3 2A 7 k o
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50. sine curve A 0.5 36. ⏐A⏐
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71. y 14.7x 140.1y 14.7(20) 140
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5; 18. 4; y 424. ⏐5⏐A 5; 2 1
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42. y349. f(x) y xx 133y x 123
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12b. y 23.5 sin 6 t 2 3 47.
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8. 1 4 24. ; 4 4 n, where
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46d. 34.3 N52. C 180° (62°31 7
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10. Let v Cos 1 22 .Cos v 22v
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43d. A 3.675 2 k 12.4 h 7.05
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42. 3 2 Page 417 Applications
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10. Notice that the triangles are n
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20. Sample answer: 30°sec 2 x 1
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48. sin x cos x sec x cot x sin x
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1cosx6. tan x sec x sin x 11cosx
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32. Sample answer: sin x 1 2 1
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5. cos 165° cos (45° 120°)10.
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29. sec x tan 2 x 1 5 3 2 cos y
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48b. tan A tan B tan C tan A tan
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7-4Double-Angle and Half-AngleIdent
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20. tan 2v 1 1 c osv cos v1 1
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tan A 2 sin 2A 2 1 cos 2 A 2
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4. Each type of equation may requir
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34. cot 2 x csc x 1csc 2 x 1 cs
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62. cot 67.5° cot 13 5°12cot v
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10. 2x 2y 62x 2y 6 0A B 2 2
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33b. p 1.25, f 45°x cos (45°)
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7. 3x 5y 1 When x 2, y 1. Use (
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31. m 1 432. 73 1or 3 4 y 7
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125. cos y se c y1sin y 1 s co2
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51. y 1 3 x 6 → x 3y 18 0d
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7. Simplify the fraction. One metho
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21. 324˚u26.tur5.5 cmr3.5 cm22˚r
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50. v o volume of original boxv n
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45a.30˚Shore1545b. sin 30° ⏐V
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20. u TM 1 0, 4 6, 3 3 or 1, 2,
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u10. AB (0.65, 0, 0.3) (0, 0, 0)
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36a.F45˚36b. W ⏐F u ⏐⏐d u
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8. u F1 (33 cos 90°)iu (33 sin 9
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38. *4 *(3) (4 3 4) [(3) 3 (3)
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37a. target drone:x 3 (1)t y 4
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If the magnitude of the initial vel
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6b. Sample answer: If the original
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23. The first transformation reflec
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40. 1, 0, 4 5, 2, 1 0uiu juk1 0 45
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2. In order to write the equation o
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Chapter 9 Polar Coordinates and Com
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38. 120˚90˚ 39. 60˚120˚150˚30
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7.2 2 338.5665623236Pages 565-567 E
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34a. r cos 2 r cos 7 r cos 4
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13a.150˚180˚120˚90˚210˚330˚24
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49. sin 2 A cos A 11 cos 2 A co
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19. 4 r cos v 4 0 r cos v cos
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7. x 2 y 2 36x 2 y 2 36r 6 or
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39b. z 0 1 0iz 1 (0.5 0.866i)(1
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13.5623i2363(2, 2)01 2 3 4 19. 20.i
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46a. 40∠30° 40(cos 30° j sin
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13. r 5(2) or 10 v 3 4 4 4
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3. Rewrite 1 i in polar form as 2c
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27. x 5 1 → x 5 1Find the fifth
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Find c.cos 81°15 2 c8c cos 828
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48. r 4 2 0 2 v 0 16 or 44(cos
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Chapter 10 Conics10-1Introduction t
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24. Let the vertices of thequadrila
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34b. The two regions are closest be
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13. midpoint of diameter:18. (x h)
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30. x 2 y 2 Dx Ey F 0(2) 2 7
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42d. center: (h, k) (4, 2)radius:
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7. center: (h, k) (0, 0)a 2 36 b
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22. (h, k) (0, 0)a 2 9 b 2 4 c
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32. The major axis contains the foc
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47. The target ball should be place
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2. Sample answer: The graph will sh
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transverse axis: horizontal (x h)
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23. 25y 2 9x 2 100y72x269025(y 2 4y
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38. center: (h, k) (3, 1)a distan
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48b. They are the same lines.48c.
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10. (y k) 2 4p(x h)(1 5) 2 4p[
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20. y 2 2y 12x 13 0y 2 2y 12x
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32. opening: upwardh x 1 x 22 1
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41.5676 12 cos 2 (r, )0 12 (12, 0)
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10. vertex: (h, k) (5, 1)(x h) 2
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15. A 1, C 3; since A and C have d
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26. x cos 2t y sin 2tcos 2 2t si
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41a. A 2, C 5; since A and C have
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3. y90° or 270°y 2 1y 2x 2 125
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20. B 2 4AC 0 4(2)(2)16A C; cir
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42. 9x 2 4xy 6y 2 2039. 8x 2 5x
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52.WN5S53. cos 70° 0.34cos 170°
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12a. Let x side length of flowerbe
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21. x 2 y 3 0x 2 y 3x 2 4y 2
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38c. (h, k) (0, 3)(x, y) (6, 0)(x
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5c. SHADE(((36X 2 )/9),((36X 2 )/9)
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24. (h, k) (4, 1)a 9b 6 (y k) 2
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36. vertex: (h, k) (1, 3)(y k) 2
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57. x 2 4x 4y 461. 62.x 2 b b2
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6. For a quadratic equation in the
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19. A r 2 r 3.875 10 7 mA (3.87
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69d. If the exponent is less than 0
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5. x y1 1 9 0 11 32 9yy 3 x11. x
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25b. y28d. Sample answer: A borrowe
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11a. Annually: I 100[(1 0.08) 1
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11-4Pages 722-723Logarithmic Functi
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54. x y1 02 34 655. x y2 06 156. x
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11-5Common LogarithmsPage 730 Check
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54.[10, 1] scl:1 by [2, 10] scl:155
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12. 10 5e 5k2 e 5kln 2 5k ln e33
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59. 1800 5000 ln r68. 2x 5y 3 01
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23b. The result of part a indicates
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54. 1 4 3x 6 x23x log 1 4 (x
Page 403 and 404: 6. C D9. A is the arithmetic mean
Page 405 and 406: 23. d n 5n or 6x7n (6n) 13n 13n
Page 407 and 408: 67. x 1x 3x 2 4x 2(x 2 3x)x 2
Page 409 and 410: 37. r —5or 343a. r 5 5. 50 3
Page 411 and 412: n 1n→n1d. lim limn→ n n 1 0
Page 413 and 414: 1 9 36. r — or 1 6 S n 2 3 2
Page 415 and 416: 14. Let x 3 , then x 3 1 x .
Page 417 and 418: 2216. a n (n 1),(n 2)a n1 (n 2)2
Page 419 and 420: 10. 5001 0. 124 515a 1 515, r
Page 421 and 422: 53. 322 a 1 2 51322 4a 182 a 182
Page 423 and 424: Binomial Theorem to find the 4th te
Page 425 and 426: 39. If you add the numbers on the d
Page 427 and 428: 15. f(0.1) 2(0.1) 2 0.10.08f(0.08
Page 429 and 430: 40. n 1 sin I n 2 sin r1.00 sin 42
Page 431 and 432: 13. Step 1: Verify that the formula
Page 435 and 436: Chapter 12 Study Guide and Assessme
Page 439 and 440: Chapter 13 Combinatorics and Probab
Page 441 and 442: 47. C(3, 1) C(4, 1) C(6, 1) C(14
Page 443 and 444: uiu u j k44. u v u w 2 0 3 2 5 0
Page 445 and 446: 42a. P 179,820 151,32284,475 3273
Page 447 and 448: 34. P(all red cards) 2 652 2 5
Page 449 and 450: 5. P(queen ⏐ face card) 45 2— 1
Page 451 and 452: 42d. Sample answer: A chip from Cyb
Page 453: 25. P(half answers correct) C(10,
Page 457 and 458: 10.12The probability that a dart th
Page 459 and 460: 10e. Sample answer:Grams of Fat Fre
Page 461 and 462: 3. Write the stems 9, 10, 11, 12, 1
Page 463 and 464: 28a.stem leaf0 1 1 1 1 1 1 1 2 2 2
Page 465 and 466: 8c. Los AngelesLas Vegas8d. Los Ang
Page 467 and 468: Page 917 Mid-Chapter Quiz1. Sample
Page 469 and 470: 15b.2015Frequency10500 1 2 3 4 5 6N
Page 471 and 472: 7. A1% confidence level is given wh
Page 473 and 474: 4. range5. measure of central tende
Page 475 and 476: 9.To find the median of Set A, firs
Page 477 and 478: x2 25x→5x 519. lim lim (x 5)(
Page 479 and 480: 153. csc 270° sin 270° 1 y 1
Page 481 and 482: 20. f(x) 8xf(x) 8 1x 11 821. f(x
Page 483 and 484: 57. x 2 y 2 Dx Ey F 02 2 (1)
Page 485 and 486: 12. 2 x 2 dx 0 x 2 dx 2x 2 dx1
Page 487 and 488: 27. 30 1 2 x 3 dx lim n→ n 1
Page 489 and 490: 7. 0 (4 x 2 )dx 4x 1 3 x 3 0
Page 491 and 492: 44. 1 (x 1)(3x 2)dx49a.1 1 (3x
Page 493 and 494: 23. f(x) lim f(x h ) f(x)h→0h
Page 495 and 496: 2. Let x represent the length of th
Page 497 and 498: 5. 2x 1 02x 1x 1 2 f(x)f(x) 2
Page 499 and 500: 6. 8x 2y 2 → 16x 4y 43x 4y 2
Page 501 and 502: 4 0 16. 5 3625 265 2 2 2 4(36) 0(2
Page 503 and 504: 6. y 2 2 x 2 17→ b 2 2 a 2
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Lesson 3-5Page A311. Yes; the funct
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4. 4⏐ 1 2 7 3 44 8 4 41 2 1 1⏐
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6. x 2x x 4x 6(x 6)(x 2) x(x
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3. r x 2 y 2 (1) 2 ) (22 5sin v
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4. C 180° (45° 85°) or 50°a
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Lesson 6-4Page A361. ⏐2⏐ 2; 2
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5. csc (930°) sin (16. t sin van
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3. tan 12 tan 6 7. 7 2 2 2
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Lesson 7-7Page A391. 3 (2) 2( 1)
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Lesson 8-6Page A411. x 2, y 3 t1
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5.120˚90˚60˚Lesson 9-6150˚180˚
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3. x 2 49 y 2 → x 2 y 2 49y8
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Lesson 10-6Page A451. A 1, C 1; s
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3.yOLesson 11-3xy 3 x 1Page A461.
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7. a n a 1 (n 1)da 16 2 (16 1
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n228. a n n ,2a n1 n (n 12 n 1
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2. Step 1: Verify that the formula
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Lesson 13-5Page A521. P(second clip
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5f.Lesson 14-4Page A541a. 25% corre
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6. 60(x 2)dx 1 2 x 2 2x 6 0
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20a.20b. Sample answer: Using (47,
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222. y x 2 → b a 2x-axis b a22b
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14. Sample answer: 1; 219. 2x 2 3
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12. cos A b c cos ° 4 c2 42c
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20. 6 5 mi1 ho lesur 52 80feet1 h
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Chapter 8 TestPage A631. 2.5 cm, 60
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21. (2 5i) (2 4i) (2 (2)) (5i
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13. A 3, C 16; since A and C have
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14. log 5 (2x) log 5 (3x 4)2x 3x
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610. P(2 white) 1 0 5 9 4. Sampl
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21. 3(x 2 x 6) dx 1 3 x 3 1
show all

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