Class: PreCalculus Problem Set: g and and An acute is an whose measure is > than 0 and < than 90.
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1 Class: PreCalculus Problem Set: g and and An acute is an whose measure is > than 0 and < than A = 10, B = 30, C = 40. x = in 6. 3 m m 30. B
2 Class: PreCalculus Problem Set: rs 5rs a 4 b x xy5xy y 14. N 5 and N 1 W G 16. A scalene Δ is a Δ which has sides all of different lengths. 18. x = 10, y = z = m V cylinder 18 m 3 and 6. cm V sphere 56 m V cylinder cm 3, Asurface cm, V cone cm C
3 Class: PreCalculus Problem Set: NN 1 and ND 8 6., 1, 7 x 8, y x 9, y, 5 z x 70, y 3 14, z a b x 8x xx ( 1)( x) x yz cm 4. 4 in cm m A
4 Class: PreCalculus Problem Set: ND 11 and N 9 6. obtuse Δ 8. refer to Lesson refer to Lesson 4 1. x 10 and y 5 Q s t x and 7 9st y a, b, and c cm 6. cm 3, cm cm D
5 Class: PreCalculus Problem Set: g 4. acute Δ x y 10. y a x 4 z 4a x x x 14. x y i 18. x 5 and y xy cm. 144 m 4. refer to Lesson 4 6. refer to Lesson cm 3, cm 30. C
6 Class: PreCalculus Problem Set: right Δ x 1 and y 5 1. x 1, y, z 1 5a6 ba x y x y 16. y i refer to Lesson a and b cm m 30. C 0 3
7 Class: PreCalculus Problem Set: 7. If the student is an advanced math student, then the student is intelligent. 4. If the coach is not happy, then the team did not win. 6. If the motor is on, then the car is moving. valid. 8. NN 90, ND x y 16. a i b ab i. 0 m 4. a 5, b 7, c m 8. 3 cm C
8 Class: PreCalculus Problem Set: A , 7, and B valid 1. x 3, y, 1 z 14. x 5, y a b b a 3 3 6x xy4y i. refer to Lesson 4 4. refer to Lesson 4 6. x 0, y cm
9 Class: PreCalculus Problem Set: 9. NG 100, NB invalid 6. 8, 7, 6, 5 8. obtuse Δ ΔABD ΔCBD by SAS 14. 4x a y b 16. x (, 1,3) 0. a 3 7, b 3 4, c 3 6. x 1 4. refer to Lesson cm A a, b 5
10 Class: PreCalculus Problem Set: D N, Q 100 N 4. 8, 6, 4 6. y x i i 1. 6, 14. valid 16. ΔBCD ΔAED by AAAS 18. ΔQSR~ ΔPSQ so SR QR SQ PQ 0.. (4,,1) 4. 7a 5a 6. refer to Lesson x y 8. V 36 in 3, Asurface 36 in 30. C
11 Class: PreCalculus Problem Set: 11. NB 135, N 45 S 4. invalid b b 4ac x 10. 4, 1 a i i 16. x, y 4, z ΔPQR ΔPSR by HL x and 4 y b a b a x 4 y 30. C
12 Class: PreCalculus Problem Set: 1. NB 14, NG interior = 70, exterior = x 4, y 3 1. y x i i a. SAS b. HL c. SSS d. AAAS 4. ΔABE ΔCBD by SAS cm D
13 Class: PreCalculus Problem Set: valid 1. x 95, y 10, z i 18. x 5, y, z ΔABD ΔCBD by SAS m A
14 Class: PreCalculus Problem Set: , 9, ,650.7 ft , , , iˆ 4.47 ˆj 10. x 140, y 80, z , i i ABC CDE by AAAS y 4x B
15 Class: PreCalculus Problem Set: ft 6. * proof * ⁰, ⁰, ⁰, ⁰ iˆ 8.10 ˆj line A: y 3, line B: 3 y x i 18. 6i 0. 1 xy(3x y). 4. x, y 4, z D l 5 m; h 3 m
16 Class: PreCalculus Problem Set: , 1, mi pc pb 6. mc mb 8. d pmay xyb pmb 10. x 1. * proof * x4 x , , , iˆ ˆj i 6. x 10, y, z i 0. x 3, y, z 1 1 i cm 3, cm 30. C
17 Class: PreCalculus Problem Set: 17. NO 8, NS ΔABC~ ΔXYZ by SAS 6. ΔPQR~ΔSTU by AAA 8. * proof * 10. x x x 4x 4 1. ax r bxt ab 14. * proof * , , , , 4 0. x 1, y 1, z i l 10 cm, h 8 cm 30. B
18 Class: PreCalculus Problem Set: 18. NN 8, ND 9, NQ y x oz 8. ΔPQR~ ΔSTU by SSS 10. md mc ad ac bd pm 1. k mc pa 14. * proof * , , , iˆ 6.38 ˆj 0. 3, 1. 36i cm 30. B
19 Class: PreCalculus Problem Set: 19. NR 5, NB 5, NG y x ,,, , 1 5, 1 5, x a b a b y x y 14. x y p4xy 4 xyp p 16. 3acdbcd 3 abdabc a x 3 b y * proof * x x 4x6 x a. 6, 44 m 3 8b. 3 cm 30. C
20 Class: PreCalculus Problem Set: y x NR 10, N B oz ~ by SSS similarity postulate 14. x 4, y 3, z 16. no solution; x 3, xy 4 3z 3 4x y 8 6xy 4 z 3 9z x y 1 5. y 3dfgs 1x 4g , , , * proof * 8. l 10 cm, h 8 cm 30. A
21 Class: PreCalculus Problem Set: 1. y x N, N 0, N liters 8a. not a function 8b. function * proof * N D S ab 3 p4a b 6 ab 3 p p ay6xm x l 6ty i. 1 i 4. x 1 x 3 x 6. * proof * m B
22 Class: PreCalculus Problem Set:., 4, 6 4. NP 10, NN 10, NQ 4 6. * graph * 8. * graph * 10a. function, 1 to 1 10b. function, not 1 to 1 10c. not a function 10d. function, 1 to (3,3),(3, 3),( 3,3),( 3, 3) 18. xb 3p4x b 4 6xb p9p i 3. 3 a b b i * proof * cm C
23 Class: PreCalculus Problem Set: NG 5, NR 10, NB 6. 9 gallons 8. * graph * 10. * graph * 1a. 1b. 1c * proof * 18. (3,3) i 0. ab 3 3 b 3 a 4 b 6 ba 9 a 4 4. mn 6. * proof * m 30. B
24 Class: PreCalculus Problem Set: 4. 4, 6, 8, 10 and 1, 10, 8, N, N 4, N ml 8. * graph * 10a. not a function 10b. not a function 1a. 6 1b. 1c. 0 14a b. 4 14c N 3N1 18. x 43x i. xy 6. * proof * cm 30. A R G 4. B
25 Class: PreCalculus Problem Set: hr men y x 8. * graph * 10a. function, not 1 to 1 10b. not a function 10c. function, 1 to 1 10d. function, 1 to 1 1a. 0 1b a a a a x y x y smr 3sq mr q 6rl. 1 18ktm 9x4z 4. z 5sm 1k 6. * proof * m 30. C
26 Class: PreCalculus Problem Set: min 4. Donnie = 65 mph; time = 5 hr; Sarah = 45 mph; time = 10 hr 6a. log 7 k p p 6b. k * graph * 14a. 14b. 0 14c., * proof * x 4 y 3 a b 3 16 x 8 y 4 1 x 4 y a b 3 9 a 4 b 6 6. x 4 x m 30. A
27 Class: PreCalculus Problem Set: min 4. N R 4, N B 7, NW y x 3 3 n 8. m n 3 1a. * graph * 1b. * graph * 14a. not a function 14b. not a function 14c. function, 1 to 1 14d. function, not 1 to (0,4), 1 16, i i 6. * proof * 8. 6 cm 30. A
28 Class: PreCalculus Problem Set: 8. RT 0 R 5 hr hr log 9 k * graph * a. 6 18b. 3 18c x y y zca stcarz * proof * x x x x 1 8. l 0m, h 1 m 30. B
29 Class: PreCalculus Problem Set: 9. 1 henway per day 4. Nat is 65, Odessa is , log31 k * graph * 16a. 16b. 3 16c.,, b. ab 3 c d 4 a b 6 abc d 9 c 4 d i 6 3m a. 4 a ( a)( a) 6. xhx xhh 8. x 60 ; y B
30 Class: PreCalculus Problem Set: , ml ⁰ 8. * proof * * graph * 16a. 0 16b. 16c a. x 0b. x. a b x y 4. kxd kc axd ac bd 6. x xh h x h cm 30. C
31 Class: PreCalculus Problem Set: 31. Lannes is 0 and Davout is N B 1, NG 6, N R 4 6a. x-axis, no; y-axis, yes; origin, no 6b. x-axis, yes; y-axis, yes; origin, yes 8. * graph * 10. * proof * a. function, not 1 to 1 16b. function, not 1 to 1 16c. not a function 16d. function 1 to a. 1 0b. 1 0c. 0 5n n1. 7a 7 a xh h 30. B y x 3 xy
32 Class: PreCalculus Problem Set: min 4. ft y x 3 3 8a. x-axis, yes; y-axis, no; origin, no 8b. x-axis, no; y -axis, yes; origin, no 10. * graph * 1. * proof * * graph * 18. 0, (0,),, i i m 30. A
33 Class: PreCalculus Problem Set: lb 4. C y x 4 4 8a. x-axis, no; y-axis, no; origin, yes 8b. x-axis, yes; y-axis, yes; origin, yes 10. * graph * * graph * 18.,,3 0a. 80 0b. 9 0c. 4. x 4 a (1 3 a) i 6. h hxh 8. x 115, y 41, z B
34 Class: PreCalculus Problem Set: hr 4. $ H 6.67C A 1. 5 y 3x 14a. x-axis, yes; y-axis, yes; origin, yes 14b. x-axis, no; y-axis, no; origin, yes 16. * graph * ,3,4 4a. 8 4b. 8 4c cm 30. C 6. h x hx
35 Class: PreCalculus Problem Set: lb 4. multiply by Y 45B C y x a. x-axis, no; y-axis, yes; origin, no 18b. x-axis, yes; y-axis, no; origin, no 0. y ( x 3) 3 a. 4 3 b. 3 c h x( x h) 8. * proof * 30. A
36 Class: PreCalculus Problem Set: 36. N R 10, NW 100, NB mp m p mi / hr f ( x) x ; g( x) x 1 1. y 3x a y x b. 11 0c. 1 9 a. function, not 1 to 1 b. function, not 1 to 1 c. not a function d. function, not 1 to 1 4a. 1 4b. 1 6a b C 6c * proof *
37 Class: PreCalculus Problem Set: 37. $ $ y x O 6.67I A y x a. x-axis, no; y-axis, no; origin, yes x 16b. x-axis, yes; y-axis, no; origin, no 18. y 4 3 0a. D: 35, R: 17 0b. D:, R: 88 a. b. 3 c x h cm A
38 Class: PreCalculus Problem Set: 38. RT 100 miles T P hr 4. 4 liters of 90%, 16 liters of 75% y 8x f ( x) 3 x, g( x) x cm 18. y 3 x , 5, 4a. x 4b. x 30. A 6. x x ovt o g t 8. * proof *
39 Class: PreCalculus Problem Set: ft y s xy y x S 5.71P no isosceles trapezoid a. 45 b a. 3 4b. 3 4c a. x 6b. x m 30. B
40 Class: PreCalculus Problem Set: mph lb 6. 1,860, x 3y x y f ( x) x 1, g( x) x. y x 4. 0,1 6. 6x 3h B
41 Class: PreCalculus Problem Set: mph 4. 9:00 pm a b. 154, no solution x3y x x H S. 6 cm 4. y 1 x x( x h) 30. A
42 Class: PreCalculus Problem Set: 4. B 0 mph, C 5 mph hour 6. $ * graph * , no x y1 0. A 4a. 60 4b gx ( ) x 3 8. * proof * 30. D
43 Class: PreCalculus Problem Set: 43. ft hr 6. S 31yr, J 33yr 8. y 5sin x 10. * graph * yes H 8C9 3 3 y x 6a. domain: 6, range: 6 6b. domain: 55, range: * graph * gx ( ) ( x ) A
44 Class: PreCalculus Problem Set: 44. hw w m hr mi yd 8. y 11sin x 10. * graph * yes 0. x4y , 4. F 55.56D a. 45 6b B
45 Class: PreCalculus Problem Set: mi liters 8. C , r , not a good correlation 10. y 10sin 1. ( x) ( y5) x 4x f () x x3 6. y x 3 8. * proof * 30. A
46 Class: PreCalculus Problem Set: , b d b balls 6. RO 9 mph, RB 18 mph 8. N R 1, N E 4, N D x i x i 1. y 1cos x 14. ( xh) ( yk) 6 16a. 3 16b yes 4a b * graph * 8. 1 x h 30. C
47 Class: PreCalculus Problem Set: 47 dm dm. days 4. dollars B 40 mph, W 10 mph 8. y 37cos x 10. x 6x O , r , good correlation 14. * graph * x y a b. 8b y x4 8c a B
48 Class: PreCalculus Problem Set: cal ml of 40%, 150 ml of 80% 8. $ y x y 6 14sin 16. x x , 0.853, good correlation 0. * graph * y x * proof * 30. D
49 Class: PreCalculus Problem Set: days 6. 7 dp 4c dollars x y y 1 5sinx 16a b (x i)(x + i) 0. (x + ) + (y + 3) = ft 6. * graph * 8. x 30. C
50 Class: PreCalculus Problem Set: John = 30 yr, Sally = 45 yr 6. qt 8. 45, y 3x y 15 5cos 18. x 1 3ix 1 3i 0. ( x ) ( y4) 4 a. 6 5 b. 81 4a b * graph * 8. * proof * 30. B
51 Class: PreCalculus Problem Set: hr 6. 8 packages 8a b ⁰, 300⁰ , x + y 4 = y = 10 0cos 0. 4x 1 6ix 1 6i. (x + 3) + (y 3) = yes x + 1 y x
52 Class: PreCalculus Problem Set: hr 6. $56 8. W = 5 mi / hr, B = 10 mi / hr ⁰, 75⁰, 135⁰, 195⁰, 5⁰, 315⁰ 1a b x y y 8cos 0. ( x i)( x i). ( xh) ( yk) r A
53 Class: PreCalculus Problem Set: m 4. hm m p hr francs 8. 30(10) (.54) 3 3 in ⁰, 10⁰ ⁰ e y 15cosx 0. x x9 0. x 3 ( y) yes 8. y x x 1
54 Class: PreCalculus Problem Set: * graph * rad / min 4. m 10.. cm / s hr ⁰, 5⁰ 14. 0⁰, 180⁰ e 0. x y y 6 6cos 4. S 0.089T 14.47, r , good correlation 6. * graph * C
55 Class: PreCalculus Problem Set: rad / s mph 8. * graph * , mi / hr 1. 30, e y 7 3sin x i x i 4. ( x) ( y5) 7 6a. 6 6b. 31 8a b B
56 Class: PreCalculus Problem Set: ,916, $ youngster: 13 yr, ancient one: 53 yr cm 1. 5 m 14. B 16. * graph * ⁰, 100⁰, 00⁰, 0⁰, 30⁰, 340⁰ (8, ) 6. 3(x + 3 i)(x i) 8. (x 4) + (y 5) = x
57 Class: PreCalculus Problem Set: , km 8. y = 6sin( 90⁰) cm ft cm 16. * graph * 18. 0⁰, 100⁰, 140⁰, 0⁰, 60⁰, 340⁰ x y a. 33 6b D
58 Class: PreCalculus Problem Set: atm 10. * graph * 1. y = + 6cos ,70 cm m ⁰, 66⁰, 78⁰, 138⁰, 150⁰, 10⁰, ⁰, 8⁰, 94⁰, 354⁰. 3x + y 7 = a. 1 6b. 8a. D: 5, R: 36 8b. D: 55, R: B
59 Class: PreCalculus Problem Set: ( x 1) y pencils gal of 80%, 0 gal of 0% y = 3 + 8sin( 45⁰) , cm m 4. 10⁰, 70⁰, 130⁰, 190⁰, 50⁰, 310⁰. 6. e (x 3) + (y ) = A
60 Class: PreCalculus Problem Set: 60. 6,65, NR = 4, NW = 8, NG = ⁰, 70⁰ y = cos( 45⁰) m cm. A x y yes 30. x + 3 4
61 Class: PreCalculus Problem Set: $ % lie between 6 and 68, 95% lie between 59 and 71, 99% lie between 56 and * box-and-whisker plot * ⁰, 150⁰, 10⁰, 330⁰ * graph *. y = + 5sin cm 6. * graph * y = 4x + 3
62 Class: PreCalculus Problem Set: 6. 30, W = mph, D = 4 mph range = 6, mean = 4, median = 3.5, mode = 7, variance = 5.33, standard deviation = * box-and whisker plot * ⁰, 135⁰, 5⁰, 315⁰ y 35cos x cm 4. * graph * x + 3y = yes
63 Class: PreCalculus Problem Set: ma mb ab hr 8. onlookers = 850, bystanders = * graph * 1. point = 14, range = 14, median = 18, standard deviation: * stem-and-leaf plot * 16. 0⁰, 180⁰ * graph *. 1 y 35sin x cm 6. * graph *
64 Class: PreCalculus Problem Set: mr mb br hr 8a. 10cis b i * graph * and ⁰ 18. 0⁰, 45⁰, 180⁰, 5⁰ y 6 4cos x cm x y
65 Class: PreCalculus Problem Set: (45)(1000)(100) (30)(60) 6. 50( h 4) m x hr ( kxm) d pencils 10. x = a. 5.83cis59.04⁰,,, b i i 16. x gf af hd cd % y 610sin (600)(1000)(100) (.54)(1)(580) 30. D
66 Class: PreCalculus Problem Set: (1)(580)(1) (60)(13) 6. mz ma az hr 8. y = 1 8cosx ⁰, 10⁰ 1. * graph * 14. 6cis350⁰ 16. * graph * * box-and-whisker *. x =, cm ( x h)( xh)
67 Class: PreCalculus Problem Set: 67. B = 0 mph, W = 4 mph 4. $1 per dozen eggs, 50 per pound of flour a. 9 8b y 46sin 3 1a. 13cis9.6⁰ 1b i i 16. bc ad y cg df % ⁰, 80⁰, 160⁰, 00⁰, 80⁰, 30⁰,,, , cm 30. (80)(1000)(100) (.54)(580)(1)
68 Class: PreCalculus Problem Set: (15)(580)(1) (60)(400) in w a g stereos 8. parabola: 1 y x 1, vertex: (0, 0) ft 1. * box and whisker plot * 14. y 3 3cos i 18. ws kd x wa bd ,,, ⁰, 157.5⁰, 47.5⁰, 337.5⁰ , a b. 81
69 Class: PreCalculus Problem Set: 69. p is multiplied by 3 4. x k directrix: 3 y, axis of symmetry: x = 0, parabola: 10 5 y x, focus: 6 3 0, mean: 0.17, median: 0.5, variance: 9.14, mode: does not exist, standard deviation: * graph * 14. y 310sin3 0 16a. 6.3cis341.57⁰ 16b. 5 5 i 18. * graph * cm ,,, ⁰ 6. x x f (x) = ln x, g (x) = log x
70 Class: PreCalculus Problem Set: hr 4. J is doubled % * graph * 1. * graph * 14. y 1 cos x i ,,, mean: 4, median: 3.5, mode: 1, variance: 7.33, standard deviation: ft D
71 Class: PreCalculus Problem Set: 71. NB =, NR = 4, NW = hr 6. length: 100 cm, width: 17 cm, height: 33 cm 8. * graph * * graph * 14. * graph * y 1cos x i 0. 30, 150, 10, mean: 3.83, median: 4, mode: 5, variance: 4.14, standard deviation: x i x i
72 Class: PreCalculus Problem Set: 7. y m beauties B = 8, c = 5.87, b = * graph * 1., ft y 35sin x 18a. 10cis b i 0. 3,. 7 5,,, * graph * yes
73 Class: PreCalculus Problem Set: M M 5 dollars 4. 6 times 6. x x cm 10. A = 0, a = 6.70, b = % 14. * graph * 16. * graph * 18. y 6sinx 4 0. ag cd y af bd. 0, 30, 150, , y x
74 Class: PreCalculus Problem Set: L $6.44 per hour 6. D P x N 8. x = 1, y = cm * graph * 16. x = 4, * graph * 3 0. y 311sin x40 6. x = i t,,, x 30. x 5i x 5i
75 Class: PreCalculus Problem Set: 75 0D. p 0 p miles cm * graph * 14. * graph * y 34cos x i 0. 60, 10, 40, 300. x = mean:.67, median: 1.5, mode: 0, variance: 14.46, standard deviation: a. 3 8b. 14 8c x i x i
76 Class: PreCalculus Problem Set: groups 4. M = 9, R = radius: 9.71 in, area: in 1. B = 30, a = ft, b = 6. ft % 16. * graph * 18. * graph * 3 0. y3 sin4x30. 3 x, 4. x a b
77 Class: PreCalculus Problem Set: mph 4. $ x x x 5 y x = 4, y = A = 30, a = 10 cm % 18. * graph * 3 0. y 37sin x60. 60, 10, 40, * graph * x 3 + h
78 Class: PreCalculus Problem Set: (5Q Ka) cents 6. A: $1000, B: $ * graph * a b 4 1. * rules of the game * 14. side: 5 cm, radius: 8.09 cm 16. A = 30, a = 8.77 m, b = m , 0. * graph *. 3 y 5 4sin x ,, 3 3 6a. 10 6b
79 Class: PreCalculus Problem Set: 79. 0, B = 18 mph, W = 6 mph 6. 7cis cis30, cis150, cis * graph * 1. x 6 + 6x 5 y + 15x 4 y + 0x 3 y x y 4 + 6xy 5 + y * rules of the game * x, 7 y 18. side: 8 ft, area: ft 0. * graph *. 1, 4. y 15cos3x , y x 3 3
80 Class: PreCalculus Problem Set: 80. (300 hm) mi 4. 3 hr * rules of the game * cis0 1. i, i, i, i 14. a 3 + 3a b + 3ab + b C = 15, b = 0.1 in, c = 9.08 in. * graph * x 11, y 3 4. y 46cos x ,
81 Class: PreCalculus Problem Set: , 55, B = 91.43, C = 48.57, a = 5.14 in ft 10. * rules of the game * 1. cis15, cis135, cis * graph * x 4 y * graph * 0. * graph * 9 8. y 10 sin , 110, 170, 30, 90,
82 Class: PreCalculus Problem Set: 8., 33, (t rh) mi 6. 39b ab 9 days 8. log(5) 4 x 0.75 log(5) B = , A = , C = * rules of the game * 14. 1cis i, 1, 1 3 i 18. p 5 + 5p 4 q + 10p 3 q + 10p q 3 + 5pq 4 + q 5 0. radius of circumscribed circle: 6.74, radius of inscribed circle: * graph * 4. y 9sin 4 x ,,, % 5
83 Class: PreCalculus Problem Set: 83. $ log(5) log(5) A = 44.41, B = , C = * rules of the game * 14. 3i 16. 1, i, 1, i 18. 0x 3 z 3 0. area: cm, radius: cm 9. y86cos ( x30 ) 6. * graph * , 75, 195, x 3 3 i x 3 3 i
84 Class: PreCalculus Problem Set: 84 a b k p m yd / min 6. jobs 8. * graph * 10. * rules of the game * 1. * rules of the game * q = cm i, 1 3i, 1 3i, 3 i 0. * graph *. radius: 9.71 cm, area: cm 4. * graph * 6. no solution %
85 Class: PreCalculus Problem Set: min seating arrangements 8. 4, 6, , 180, * graph * 14. * rules of the game * 16. * rules of the game * p = cm, area: 5.71 cm. 3 i, 1 3i, 1 3i, 3 i x 7, y * graph * 8. mean: 0, median: 0, mode:, variance: 3.60, standard deviation: cm
86 Class: PreCalculus Problem Set: O = 4I , 4, , 86, 79, 7, , 3, * graph * 18. * rules of the game * m 4., i 3 i, 3i 6. r 3 + 3r s + 3rs + s 3 8. * graph *
87 Class: PreCalculus Problem Set: cos sin km 6. 18, 1, , 46, 66, , 10, 40, * graph * 0. * rules of the game * B = 64.89, C = 95.11, a = 3.78 cm 6. * graph * 8. area: in, radius: 4.33 in
88 Class: PreCalculus Problem Set: 88. At = 40e t, 9.86 g 4. 3:16: * rules of the game * 1. 6, 4, ,,, * graph * 18. * rules of the game * 0. * rules of the game * cis10, 3cis130, 3cis50 6. A(pentagon) = cm, A(circle) = cm
89 Class: PreCalculus Problem Set: 89. At = 40,000e -0.09t, 3.9 hr , 6, 8 8. * graph * 10. cosx , 4, 10, , * graph * 0. * rules of the game * 6. i,. 6 7 i x 4 + 4x +
90 Class: PreCalculus Problem Set: 90. At = 000e -0.35t $ * rules of the game * 10. * graph * 1. * graph * * graph *, * rules of the game * * graph * %
91 Class: PreCalculus Problem Set: ,000 marbles 4. A0 = 30, k = 1.13, At = 30e 1.13t 6. 1 hr 8. 1, * proof * 1. * proof * 14. * graph * , * graph *. * rules of the game * 4. A = 6.7, B =
92 Class: PreCalculus Problem Set: 9. A(t) = 10,000e t, t = min a * proof * 1. sinx 14. 8, 6, 4, ,,,,, * rules of the game * i, 1 3i, 3 i, 1 3i 4. P = cm, A = cm a b. 5
93 Class: PreCalculus Problem Set: 93. At=4000e t, 7.0 hr * rules of the game * 4: * rules of the game * 10. 0, 18, 16, 14 sin cos 1. x x 14. * graph * , 100, 160, 0, 80, * graph * 0. cis4, cis76, cis148, cis0, cis9. 6 x, 3 67 y 4. x = x = a. 36 8b %
94 Class: PreCalculus Problem Set: 94. At=Ae 0.0t ,00 6. * graph * 8. * rules of the game * 10. * rules of the game * cosx 16. x = ft 0. 4, 8. * graph * 4. D = x = 8a b
95 Class: PreCalculus Problem Set: min cis13.8, 1.5cis103.8, 1.50cis193.8, 1.50cis * graph * 10a. y = tan x 10b. y = cot x 1. * rules of the game * 14. * rules of the game * sin cos 16. x x , 56.5, 10.5, 146.5, 191.5, 36.5, 18.5, P = 4, 7C = ,,, 4, * graph * 6. x = 1 8. x = x 1
96 Class: PreCalculus Problem Set: min 4. 5 mi / hr 6. * rules of the game * 8. A = 51.54, area = cm 10a. * graph * 10b. * graph * x =, cis6.57,.4cis P3 = 336, 8C3 = , 1, 8. * graph * cm 6. x = x = x y
97 Class: PreCalculus Problem Set: H = 3, S = 56, C = (acute),.38 (obtuse) , 10, cis40.67,.11cis60.67,.11cis , 9, cm x y 1, vertices (, 0) and (, 0), asymptotes y = ±x x i x i
98 Class: PreCalculus Problem Set: mf f m hr laps no such triangle exists ,,, cis113.86, 1.85cis33.86, 1.85cis x y 1, major axis length: 1, minor axis length: D
99 Class: PreCalculus Problem Set: yr 4. F 6 r 4 hr 6. multiplied by ( 3, 7), (7, 3) 10. arithmetic mean: 15, geometric mean: , (obtuse), 9.46 (acute) a = cm, area = 151, cm , 5.5, 17.5, 14.5, 17.5, 3.5, 307.5, x y x i x i
100 Class: PreCalculus Problem Set: min 4. 14m d km items 6. 11P4 = 790, 11C4 = (4, 16) and ( 4, 16) no triangle exists 0.. A = 33.17, B = , cis80.78, 1.50cis170.78, 1.50cis60.78, 1.50cis
101 Class: PreCalculus Problem Set: B = 9 mph, W = 3 mph (0, 5) and ( 5, 0) 14. e, e 16. 1, , %
102 Class: PreCalculus Problem Set: B = 18 mph, W = 9 mph 6. A1 = 60, A = a 6 1a 4 b 3 + 6a b 6 b a b , A = , area = 63.1 cm 4a. y = 6 + 8csc x 4b. y = cot x 6. 5, ft 30. 1
103 Class: PreCalculus Problem Set: atm ml mol / L 1. 81a 8 108a 6 b a 4 b 6 1a b 9 + b a. y = b. y = x = x = area: m, a = 11.6 cm x
104 Class: PreCalculus Problem Set: s f gal a. 6b mole / liter 1. x 6 6x 4 y + 1x y 8y a. y = b. y = x = i, 3 1 i, i x i x i
105 Class: PreCalculus Problem Set: min 4. mhk workers a. 10b x 3 54x y + 36xy 8y x = 1, x = , 105, 135, 5, 55, i, i, i, i 30. 0
106 Class: PreCalculus Problem Set: ,30 4. $ ( x ) ( y 3) 9, x y x y a. 1b log xz 3 y x y x = 5 9. x = 1, 4 e cis36.58,1.64cis16.58,1.64cis16.58,1.64cis t 30. t 1
107 Class: PreCalculus Problem Set: 107. x x days 4. x = ( x1) ( y3) 1 x y x6y90 1. x, y, z mol / L x 3 18a. 18b x = 4 3. x = i, i, i
108 Class: PreCalculus Problem Set: % 4. Jerri 9, Kelly AB 3 4 3, AB 3 0 3, A AB does not exist, BA ( 1) 3 n 5 4 log x log y 3log z a. 18b ln 50 ln ,
109 Class: PreCalculus Problem Set: H 15 3H 6., 8. 0 ft log moles / L 18a. 18b A = 60, area = ft 6a. y = cscx 6b. y = 7 + 4secx cis105, 1.1cis5, 1.1cis x 3 3x 3x + 1
110 Class: PreCalculus Problem Set: , B = 1 mi/hr, W = 4 mi/hr 6a. 6b. 6c arithmetic mean = 19, geometric mean = x 6 6x 4 y + 1x y 8y y = log8 log 4 0. x = 1 4
111 , i, i ( x1) x i x i
112 Class: PreCalculus Problem Set: ft t ft / hr 6. 8P6 = 0,160, 8C6 = x , 1. ( x1) ( y) 9 5 1, center = (-1, ), major axis = 10, minor axis = 6, vertical ± 0. e e cm ,,, ( x 3) x i x i
113 Class: PreCalculus Problem Set: p 0.5 dollars 6. $ a 8 b x ( x10) ( y4) , center = (-10, 4), major axis = 16, minor axis = 4, horizontal log z 5 log x 1 log y e , 70, cis1.9, 1.71cis13.9, 1.71cis (x )(x + )(x i)(x + i)
114 Class: PreCalculus Problem Set: yr 4. ( k)( r)(.54)(60)(60) 100 m / hr 6. x 3x 6 8. yes 10. yes ,608x 15 y x , 1 3 i, 1 3 i, 1, 1 3 i, 1 3 i (x + i)(x + i)(x i)(x i)
115 Class: PreCalculus Problem Set: pages A x 6x 10x 0x0 1. yes x ( x1) ( y) , center = (1, ), major axis = 8, minor axis = 4, vertical a moles / liter 6b and xx ( 5) x i x i
116 Class: PreCalculus Problem Set: 115. mk m pk mi / hr 4. N R 10, NW, N P 7 6. f ( ) no A 14. x ln( x1) ln( y) ln xln y , A = 36, area = yd , 11.5, 0.5, x =, y = -1
117 Class: PreCalculus Problem Set: c (5 w ) ( m 4) hr B 1. x x x x1 x x y 16. x x 4, z 1 4. x = ,,,,,
118 Class: PreCalculus Problem Set: m k hr 6. yes , 5,, B x log y 3log ( x1) log ( y) ( x1) ( y) 1, center = ( 1,), major axis = 5, major axis = 4, vertical and x i x i
119 Class: PreCalculus Problem Set: yr hr 6. 3, ,, ,, 3, 6,,,, x 5x y 10x y 10x y 5x y y x ,
120 Class: PreCalculus Problem Set: RC 40 mph, TC = 6 hr hr, R 0 mph, T 8 hr 6. 1 or ,, or upper bound:, lower bound: 4 1., 1,1 14. i W W , 3,,,,,, , e x log 7 log 6
121 Class: PreCalculus Problem Set: days 4. HH H H H 1 1 hr x 1, y 4 10a. 1 10b. 0 or 1., 1,1,1 14. r = a. 18b. 8 16x ya AB 1 6 4, AB ee, feet ln10 ln in
122 Class: PreCalculus Problem Set: hr atm a. 1 10b. 0 or ,,, yes 16. r = x 3x 7x 1x59 x x , ,135,5, no
123 Class: PreCalculus Problem Set: ,3,5, , x, y 1 1a. 1 or 3 1b upper bound:, lower bound: , i i,, 0.. C x x 3 8x ,, 3 3
124 . D N = 00 ml of 40%, P N = 100 ml of 10% 4., 4, 6 6a. 6b , x =, y = upper bound = 3, lower bound = 3 0. r =
125 . W = mi/hr, B = mi/hr 4. N R = 4, N G = 11, N B = 8 6., 8. 3, 10a. circle 10b. hyperbola 10c. hyperbola 10d. parabola 10e. ellipse 1a. circle 1b. hyperbola 1c. ellipse 1d. hyperbola 1e. parabola , x =, y = 0. upper bound = 4, lower bound =. 4. x > y
126 . T = 3 min ( , ), (1.5538,.5538) 1. ( , ), (0.4918, 1.635) , , a. 1 6b. 0 or 8., 1, , 90, 150, 70
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