
PREALGEBRA
15th Edition
ISBN: 9781938168994
Author: OpenStax
Publisher: OpenStax
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Textbook Question
Chapter 3.5, Problem 3.124TI
TRY IT :: 3.124 Solve:
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3. A scientist recorded the movement of a pendulum for 10 s. The scientist began recording when the pendulum
was at its resting position. The pendulum then moved right (positive displacement) and left (negative
displacement) several times. The pendulum took 4 s to swing to the right and the left and then return to its
resting position. The pendulum's furthest distance to either side was 6 in. Graph the function that represents
the pendulum's displacement as a function of time.
Answer:
f(t)
(a) Write an equation to represent the displacement of the pendulum as a function of time.
(b) Graph the function.
10
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1
0
t
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15
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A power outage occurs 6 min after the ride started. Passengers must wait for their cage to be manually
cranked into the lowest position in order to exit the ride. Sine function model: h = −82.5 cos (3πt) + 97.5
where h is the height of the last passenger above the ground measured in feet and t is the time of operation of
the ride in minutes.
(a) What is the height of the last passenger at the moment of the power outage? Verify your answer by
evaluating the sine function model.
(b) Will the last passenger to board the ride need to wait in order to exit the ride? Explain.
The Colossus Ferris wheel debuted at the 1984 New Orleans World's Fair. The ride is 180 ft tall, and passengers
board the ride at an initial height of 15 ft above the ground. The height above ground, h, of a passenger on the
ride is a periodic function of time, t. The graph displays the height above ground of the last passenger to board
over the course of the 15 min ride.
Height of Passenger in Ferris Wheel
180
160
140-
€120
Height, h (ft)
100
80
60
40
20
0
ך
1
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7 8 9
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Time of operation, t (min)
Sine function model: h = −82.5 cos (3πt) + 97.5 where h is the height of the passenger above the ground
measured in feet and t is the time of operation of the ride in minutes.
What is the period of the sine function model? Interpret the period you found in the context of the operation of
the Ferris wheel.
Answer:
Chapter 3 Solutions
PREALGEBRA
Ch. 3.1 - TRY IT:: 3.1 Plot the numbers on a number line. a....Ch. 3.1 - TRY IT:: 3.2 Plot the numbers on a number line. a....Ch. 3.1 - TRY IT:: 3 Order each of the following pairs of...Ch. 3.1 - TRY IT:: 3.4 Order each of the following pairs of...Ch. 3.1 - TRYIT:: 3.5 Find the opposite of each number: a. 4...Ch. 3.1 - TRY IT:: 3.6 Find the opposite of each number: a....Ch. 3.1 - Try IT:: 3.7 Simplify: (1)Ch. 3.1 - Try IT:: 3.8 Simplify: (5)Ch. 3.1 - TRY IT:: 3.9 Evaluate n: a. when n=4 b. when n=4Ch. 3.1 - TRY IT:: 3.10 Evaluate: m: a. when m=11 b. when...
Ch. 3.1 - Try IT:: 3.11 Simplify: a. |12| b. |28|Ch. 3.1 - TRYIT:: 3.12 Simplify: a.|9| b.(b)-|37|Ch. 3.1 - TRYIT:: 3.13 Evaluate: a. |x|when x=17 b. |y|when...Ch. 3.1 - TRY IT:: 3.14 a. |y|when y=23 b. |y|when y=21 c....Ch. 3.1 - TRY IT:: 3.15 Fill in <, >, or = for each of the...Ch. 3.1 - TRY IT:: 3.16 Fill in <, >, or = for each of the...Ch. 3.1 - TRY IT:: 3.17 Simplify: a. |129| b. 3|6|Ch. 3.1 - TRY IT:: 3.18 Simplify: a. |2716| b. 9|7|Ch. 3.1 - TRY IT:: 3.19 Simplify: |1+8||2+5|Ch. 3.1 - TRY IT:: 3.20 Simplify: |95||76|Ch. 3.1 - TRY IT:: 3.21 Simplify: 19|114(31)|Ch. 3.1 - TRY IT:: 3.22 Simplify: 9|84(75)|Ch. 3.1 - TRY IT:: 3.23 Translate each phrase into an...Ch. 3.1 - TRY IT:: 3.24 Translate each phrase into an...Ch. 3.1 - TRY IT:: 3.25 Translate into an expression with...Ch. 3.1 - TRY IT:: 3.26 Translate into an expression with...Ch. 3.1 - In the following exercises, locate and label the...Ch. 3.1 - In the following exercises, locate and label the...Ch. 3.1 - In the following exercises, locate and label the...Ch. 3.1 - In the following exercises, locate and label the...Ch. 3.1 - In the following exercises, order each of the...Ch. 3.1 - In the following exercises, order each of the...Ch. 3.1 - In the following exercises, order each of the...Ch. 3.1 - In the following exercises, order each of the...Ch. 3.1 - In the following exercises, find the opposite of...Ch. 3.1 - In the following exercises, find the opposite of...Ch. 3.1 - In the following exercises, find the opposite of...Ch. 3.1 - In the following exercises, find the opposite of...Ch. 3.1 - In the following exercises, simplify. -(-4)Ch. 3.1 - In the following exercises, simplify. -(-8)Ch. 3.1 - In the following exercises, simplify. -(-15)Ch. 3.1 - In the following exercises, simplify. -(-11)Ch. 3.1 - In the following exercises, evaluate. mwhen a. m=3...Ch. 3.1 - In the following exercises, evaluate. pwhen a. p=6...Ch. 3.1 - In the following exercises, evaluate. cwhen a....Ch. 3.1 - In the following exercises, evaluate. dwhen a....Ch. 3.1 - In the following exercises, simplify each absolute...Ch. 3.1 - 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Elevation The highest elevation in the United...Ch. 3.1 - Extreme temperatures The highest recorded...Ch. 3.1 - State budgets In June, 2011, the state of...Ch. 3.1 - College enrollments Across the United States,...Ch. 3.1 - Give an example of a negative number from your...Ch. 3.1 - What are the three uses of the “-” sign in...Ch. 3.2 - TRY IT :: 3.27 Model the expression. 2+4Ch. 3.2 - TRY IT : : 3.28 Model the expression. 2+5Ch. 3.2 - TRY IT :: 3.29 Model the expression. 2+(4)Ch. 3.2 - TRY IT :: 3.30 Model the expression. 2+(5)Ch. 3.2 - TRY IT :: 3.31 Model the expression, and then...Ch. 3.2 - TRY IT :: 3.32 Model the expression, and then...Ch. 3.2 - TRY IT :: 3.33 Model the expression, and then...Ch. 3.2 - TRY IT :: 3.34 Model the expression: (2)+5Ch. 3.2 - TRY IT :: 3.35 Model each addition. a. 3+4 b. 1+4...Ch. 3.2 - TRY IT :: 3.36 a. 5+1 b. 3+7 c. 2+(8) d. 3+(4)Ch. 3.2 - TRY IT :: 3.37 Simplify each expression: a....Ch. 3.2 - TRY IT :: 3.38 Simplify each expression: a. 55+9...Ch. 3.2 - TRY IT :: 3.39 Simplify each expression: 31+(19)Ch. 3.2 - TRY IT :: 3.40 Simplify each expression: 42+(28)Ch. 3.2 - TRY IT :: 3.41 Simplify each expression: 2+5(4+7)Ch. 3.2 - TRY IT :: 3.42 Simplify each expression: 4+2(3+5)Ch. 3.2 - TRY IT :: 3.43 Evaluate each expression for the...Ch. 3.2 - TRY IT :: 3.44 Evaluate each expression for the...Ch. 3.2 - TRY IT :: 3.45 When n=8, Evaluate a. n+2 b. n+2Ch. 3.2 - TRY IT :: 3.46 When y=9, evaluate a. y+8 b. y+8Ch. 3.2 - TRY IT :: 3.47 Evaluate the expression: a+2bwhen...Ch. 3.2 - TRY IT :: 3.48 Evaluate the expression: 5p+qwhen...Ch. 3.2 - TRY IT :: 3.49 Evaluate: (x+y)2when x=15and y=29.Ch. 3.2 - TRY IT :: 3.50 Evaluate: (x+y)3when x=8and y=10.Ch. 3.2 - TRY IT :: 3.51 Translate and simplify the...Ch. 3.2 - TRY IT :: 3.52 Translate and simplify the...Ch. 3.2 - TRY IT :: 3.53 Translate and simplify: the sum of...Ch. 3.2 - TRY IT :: 3.54 Translate and simplify: the sum of...Ch. 3.2 - TRY IT :: 3.55 The temperature in Chicago at 5...Ch. 3.2 - TRY IT :: 3.56 A scuba diver was swimming 16 feet...Ch. 3.2 - TRY IT :: 3.57 The Bears took possession of the...Ch. 3.2 - TRY IT:: 3.58 The Chargers began with the football...Ch. 3.2 - In the following exercises, model the expression...Ch. 3.2 - In the following exercises, model the expression...Ch. 3.2 - In the following exercises, model the expression...Ch. 3.2 - In the following exercises, model the expression...Ch. 3.2 - In the following exercises, model the expression...Ch. 3.2 - In the following exercises, model the expression...Ch. 3.2 - In the following exercises, model the expression...Ch. 3.2 - In the following exercises, model the expression...Ch. 3.2 - In the following exercises, simplify each...Ch. 3.2 - In the following exercises, simplify each...Ch. 3.2 - yIn the following exercises, simplify each...Ch. 3.2 - In the following exercises, simplify each...Ch. 3.2 - In the following exercises, simplify each...Ch. 3.2 - In the following exercises, simplify each...Ch. 3.2 - In the following exercises, simplify each...Ch. 3.2 - In the following exercises, simplify each...Ch. 3.2 - 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TRY IT :: 3.77 Simplify the expression: 8(31)9Ch. 3.3 - TRY IT :: 3.78 Simplify the expression: 12(96)14Ch. 3.3 - TRY IT :: 3.79 Simplify the expression: 629189.Ch. 3.3 - TRY IT :: 3.80 Simplify the expression: 253749Ch. 3.3 - TRY IT :: 3.81 Evaluate each expression: y7when a....Ch. 3.3 - TRY IT :: 3.82 Evaluate each expression: m3when a....Ch. 3.3 - TRY IT :: 3.83 Evaluate each expression: 17kwhen...Ch. 3.3 - TRY IT :: 3.84 Evaluate each expression: sw 5bwhen...Ch. 3.3 - TRY IT :: 3.85 Translate and simplify: a. the...Ch. 3.3 - TRY IT :: 3.86 Translate and simplify: a. the...Ch. 3.3 - TRY IT :: 3.87 The temperature in Anchorage,...Ch. 3.3 - TRY IT :: 3.88 The temperature in Denver was -6...Ch. 3.3 - TRY IT :: 3.89 One day, John hiked to the 10,023...Ch. 3.3 - TRY IT :: 3.90 The submarine Nautilus is at 340...Ch. 3.3 - TRY IT :: 3.91 Araceli has $75 in her checking...Ch. 3.3 - TRY IT :: 3.92 Genevieve’s bank account was...Ch. 3.3 - In the following exercises, model each expression...Ch. 3.3 - 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TRY IT :: 3.101 Simplify: 8(3)+5(7)4Ch. 3.4 - TRY IT :: 3.102 Simplify: 9(3)+7(8)1Ch. 3.4 - TRY IT :: 3.103 Simplify: a.(3)4 b. 34Ch. 3.4 - TRY IT :: 3.104 Simplify: a. (7)2 b.72Ch. 3.4 - TRY IT :: 3.105 Simplify: 174(811)Ch. 3.4 - TRY IT :: 3.106 Simplify: 166(713)Ch. 3.4 - TRY IT :: 3.107 Simplify: sw 12(9)(3)3Ch. 3.4 - TRY IT :: 3.108 Simplify: 18(4)(2)3Ch. 3.4 - TRY IT :: 3.109 Simplify: 273+(5)(6)Ch. 3.4 - TRY IT :: 3.110 Simplify: 324+(2)(7)Ch. 3.4 - TRY IT :: 3.111 Evaluate: 3x22x+6when x=3Ch. 3.4 - TRY IT :: 3.112 Evaluate: 4x2x5when x=2Ch. 3.4 - TRY IT :: 3.113 Evaluate: 7x+6y12when x=2and y=3Ch. 3.4 - TRY IT :: 3.114 Evaluate: 8x6y+13when x=3and y=5Ch. 3.4 - TRY IT :: 3.115 Translate to an algebraic...Ch. 3.4 - TRY IT :: 3.116 Translate to an algebraic...Ch. 3.4 - TRY IT :: 3.117 Translate to an algebraic...Ch. 3.4 - TRY IT :: 3.118 Translate to an algebraic...Ch. 3.4 - In the following exercises, multiply each pair of...Ch. 3.4 - In the following exercises, multiply each pair of...Ch. 3.4 - In the following exercises, multiply each pair of...Ch. 3.4 - In the following exercises, multiply each pair of...Ch. 3.4 - In the following exercises, multiply each pair of...Ch. 3.4 - 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