COLLEGE ALGEBRA: GRAPHS AND MODELS, LOOS
6th Edition
ISBN: 9780136175636
Author: BITTINGER
Publisher: PEARSON
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Chapter J.7, Problem 9E
To determine
To simplify: The expression
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The Course Name Real Analysis please Solve questions by Real Analysis
part 3 of the question is:
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: 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.
What is the height of the last passenger at the moment of the power outage? Verify your answer by evaluating the sine function model.
Will the last passenger to board the ride need to wait in order to exit the ride? Explain.
2. The duration of the ride is 15 min.
(a) How many times does the last passenger who boarded the ride make a complete loop on the Ferris
wheel?
(b) What is the position of that passenger when the ride ends?
Chapter J Solutions
COLLEGE ALGEBRA: GRAPHS AND MODELS, LOOS
Ch. J.1 - In Exercises 1-6, consider the numbers 23, 6, 3,...Ch. J.1 - In Exercises 16, consider the numbers 23, 6, 3,...Ch. J.1 - In Exercises 16, consider the numbers 23, 6, 3,...Ch. J.1 - In exercises 16, consider the numbers 23, 6, 3,...Ch. J.1 - In Exercises 16, consider the numbers 23, 6, 3,...Ch. J.1 - In Exercises 16, consider the numbers 23, 6, 3,...Ch. J.2 - Name the property illustrated by the sentence. 1....Ch. J.2 - Name the property illustrated by the sentence. 2....Ch. J.2 - Name the property illustrated by the sentence. 3....Ch. J.2 - Prob. 4E
Ch. J.2 - Prob. 5ECh. J.2 - Prob. 6ECh. J.2 - Prob. 7ECh. J.2 - Prob. 8ECh. J.2 - Prob. 9ECh. J.2 - Prob. 10ECh. J.3 - Classify the inequality as true or false. 1. 9 9Ch. J.3 - Prob. 2ECh. J.3 - Classify the inequality as true or false. 3. 265Ch. J.3 - Prob. 4ECh. J.3 - Prob. 5ECh. J.3 - Prob. 6ECh. J.4 - Simplify. 1. |98|Ch. J.4 - Prob. 2ECh. J.4 - Prob. 3ECh. J.4 - Prob. 4ECh. J.4 - Prob. 5ECh. J.4 - Prob. 6ECh. J.4 - Prob. 7ECh. J.4 - Prob. 8ECh. J.5 - Compute and simplify. 1. 8 (11)Ch. J.5 - Compute and simplify. 2. 310(13)Ch. J.5 - Prob. 3ECh. J.5 - Prob. 4ECh. J.5 - Prob. 5ECh. J.5 - Prob. 6ECh. J.5 - Prob. 7ECh. J.5 - Prob. 8ECh. J.5 - Prob. 9ECh. J.5 - Prob. 10ECh. J.5 - Prob. 11ECh. J.5 - Compute and simplify. 12. 1223Ch. J.5 - Prob. 13ECh. J.5 - Prob. 14ECh. J.5 - Prob. 15ECh. J.6 - Write interval notation. 1. {x| 5 x 5}Ch. J.6 - Prob. 2ECh. J.6 - Write interval notation. 3. {x | x 2}Ch. J.6 - Write interval notation. 4. {x | x 3.8}Ch. J.6 - Prob. 5ECh. J.6 - Prob. 6ECh. J.6 - Prob. 7ECh. J.6 - Prob. 8ECh. J.6 - Prob. 9ECh. J.6 - Write interval notation for the graph. 10.Ch. J.7 - Simplify. 1. 36Ch. J.7 - Prob. 2ECh. J.7 - Prob. 3ECh. J.7 - Prob. 4ECh. J.7 - Prob. 5ECh. J.7 - Prob. 6ECh. J.7 - Prob. 7ECh. J.7 - Prob. 8ECh. J.7 - Prob. 9ECh. J.7 - Prob. 10ECh. J.8 - Convert to scientific notation. 1. 18,500,000Ch. J.8 - Prob. 2ECh. J.8 - Prob. 3ECh. J.8 - Prob. 4ECh. J.8 - Convert to decimal notation. 5.4.3 108Ch. J.8 - Prob. 6ECh. J.8 - Convert to decimal notation. 7.6.203 1011Ch. J.8 - Prob. 8ECh. J.9 - Calculate. 1. 3 + 18 6 3Ch. J.9 - Calculate. 2. 5 3 + 8 32 + 4(6 2)Ch. J.9 - Calculate. 3. 5(3 8 32 + 4 6 2)Ch. J.9 - Calculate. 4. 16 4 4 2 256Ch. J.9 - Calculate. 5. 26 23 210 28Ch. J.9 - Calculate. 6. 4(86)243+2831+190Ch. J.9 - Calculate. 7. 64 [(4) (2)]Ch. J.9 - Prob. 8ECh. J.10 - Determine the degree of the polynomial. 1. 5 x6Ch. J.10 - Prob. 2ECh. J.10 - Prob. 3ECh. J.10 - Prob. 4ECh. J.10 - Prob. 5ECh. J.10 - Prob. 6ECh. J.10 - Prob. 7ECh. J.10 - Prob. 8ECh. J.11 - Add or subtract. 1. (8y 1) (3 y)Ch. J.11 - Add or subtract. 2. (3x2 2x x3 + 2) (5x2 8x ...Ch. J.11 - Prob. 3ECh. J.11 - Prob. 4ECh. J.11 - Prob. 5ECh. J.12 - Prob. 1ECh. J.12 - Prob. 2ECh. J.12 - Prob. 3ECh. J.12 - Prob. 4ECh. J.12 - Prob. 5ECh. J.12 - Prob. 6ECh. J.13 - Multiply. 1. (x + 3)2Ch. J.13 - Multiply. 2. (5x 3)2Ch. J.13 - Multiply. 3. (2x + 3y)2Ch. J.13 - Prob. 4ECh. J.13 - Multiply. 5. (n + 6) (n 6)Ch. J.13 - Prob. 6ECh. J.14 - Factor out the largest common factor. 1. 3x + 18Ch. J.14 - Prob. 2ECh. J.14 - Prob. 3ECh. J.14 - Prob. 4ECh. J.14 - Prob. 5ECh. J.14 - Prob. 6ECh. J.14 - Prob. 7ECh. J.14 - Prob. 8ECh. J.14 - Prob. 9ECh. J.14 - Prob. 10ECh. J.14 - Prob. 11ECh. J.14 - Prob. 12ECh. J.15 - Factor. 1. 8x2 6x 9Ch. J.15 - Factor. 2. 10t2 + 4t 6Ch. J.15 - Factor. 3. 18a2 51a + 15Ch. J.16 - Factor the difference of squares. 1. z2 81Ch. J.16 - Factor the difference of squares. 2. 16x2 9Ch. J.16 - Factor the difference of squares. 3. 7pq4 7py4Ch. J.16 - Factor the square of a binomial. 4. x2 + 12x + 36Ch. J.16 - Prob. 5ECh. J.16 - Factor the square of a binomial. 6. a3 + 24a2 +...Ch. J.16 - Factor the sum or the difference of cubes. 7. x3 +...Ch. J.16 - Factor the sum or the difference of cubes. 8. m3 ...Ch. J.16 - Prob. 9ECh. J.16 - Prob. 10ECh. J.17 - Prob. 1ECh. J.17 - Prob. 2ECh. J.17 - Prob. 3ECh. J.17 - Prob. 4ECh. J.17 - Solve. 5. 7y 1 = 23 5yCh. J.17 - Prob. 6ECh. J.17 - Prob. 7ECh. J.17 - Solve. 8. 5y 4 (2y 10) = 25Ch. J.18 - Prob. 1ECh. J.18 - Prob. 2ECh. J.18 - Prob. 3ECh. J.18 - Prob. 4ECh. J.18 - Prob. 5ECh. J.18 - Prob. 6ECh. J.19 - Prob. 1ECh. J.19 - Prob. 2ECh. J.19 - Prob. 3ECh. J.19 - Prob. 4ECh. J.19 - Prob. 5ECh. J.19 - Prob. 6ECh. J.19 - Prob. 7ECh. J.19 - Prob. 8ECh. J.20 - Prob. 1ECh. J.20 - Prob. 2ECh. J.20 - Prob. 3ECh. J.20 - Prob. 4ECh. J.20 - Prob. 5ECh. J.20 - Prob. 6ECh. J.21 - Prob. 1ECh. J.21 - Prob. 2ECh. J.21 - Prob. 3ECh. J.21 - Prob. 4ECh. J.21 - Prob. 5ECh. J.21 - Prob. 6ECh. J.22 - Prob. 1ECh. J.22 - Prob. 2ECh. J.22 - Prob. 3ECh. J.22 - Prob. 4ECh. J.22 - Prob. 5ECh. J.22 - Prob. 6ECh. J.23 - Prob. 1ECh. J.23 - Prob. 2ECh. J.23 - Prob. 3ECh. J.23 - Prob. 4ECh. J.23 - Prob. 5ECh. J.23 - Prob. 6ECh. J.24 - Simplify. 1. xyyx1y+1xCh. J.24 - Prob. 2ECh. J.24 - Prob. 3ECh. J.24 - Prob. 4ECh. J.24 - Simplify. 5. abba1a1b Note: b a = 1(a b)Ch. J.25 - Prob. 1ECh. J.25 - Prob. 2ECh. J.25 - Prob. 3ECh. J.25 - Prob. 4ECh. J.25 - Prob. 5ECh. J.25 - Prob. 6ECh. J.25 - Prob. 7ECh. J.25 - Prob. 8ECh. J.25 - Prob. 9ECh. J.25 - Prob. 10ECh. J.25 - Prob. 11ECh. J.25 - Prob. 12ECh. J.25 - Prob. 13ECh. J.25 - Prob. 14ECh. J.25 - Prob. 15ECh. J.25 - Prob. 16ECh. J.25 - Prob. 17ECh. J.25 - Prob. 18ECh. J.25 - Prob. 19ECh. J.25 - Prob. 20ECh. J.26 - Prob. 1ECh. J.26 - Prob. 2ECh. J.26 - Prob. 3ECh. J.26 - Prob. 4ECh. J.26 - Prob. 5ECh. J.26 - Prob. 6ECh. J.26 - Prob. 7ECh. J.26 - Prob. 8ECh. J.27 - Prob. 1ECh. J.27 - Prob. 2ECh. J.27 - Prob. 3ECh. J.27 - Prob. 4ECh. J.27 - Prob. 5ECh. J.27 - Prob. 6ECh. J.27 - Prob. 7ECh. J.27 - Convert to exponential notation. 8. x5Ch. J.27 - Prob. 9ECh. J.27 - Prob. 10ECh. J.27 - Prob. 11ECh. J.28 - Find the length of the third side of each right...Ch. J.28 - Find the length of the third side of each right...Ch. J.28 - Find the length of the third side of each right...Ch. J.28 - Find the length of the third side of each right...Ch. J.28 - Find the length of the third side of each right...
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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 9 8 7 6 5 4 3 2 1 0 t 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 -1 -5. -6 -7 -8 -9 -10-arrow_forwardA 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.arrow_forwardThe 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 2 3 4 5 6 7 8 9 10 11 12 13 14 15 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:arrow_forward
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