Intermediate Algebra (8th Edition)
8th Edition
ISBN: 9780134178967
Author: John Tobey Jr., Jeffrey Slater, Jamie Blair, Jenny Crawford
Publisher: PEARSON
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Chapter 3.5, Problem 45E
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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?
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.
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Chapter 3 Solutions
Intermediate Algebra (8th Edition)
Ch. 3.1 - Verbal and Writing Skills, Exercises 1-4
1. Graphs...Ch. 3.1 - Verbal and Writing Skills, Exercises 1-4
2. The...Ch. 3.1 - Verbal and Writing Skills, Exercises 1-4 Explain...Ch. 3.1 - Verbal and Writing Skills, Exercises 1-4 (5, 1) is...Ch. 3.1 - Find the missing coordinate. ( − 2 , _ _ _ _ ) is...Ch. 3.1 - Find the missing coordinate. ( − 5 , _ _ _ _ ) is...Ch. 3.1 - Find the missing coordinate.
7. is a solution of...Ch. 3.1 - Find the missing coordinate. ( _ _ _ _ _ , 2 3 )...Ch. 3.1 - Graph each equation. y = 2 x − 3Ch. 3.1 - Graph each equation.
10.
Ch. 3.1 - Graph each equation. y = 1 − 3 xCh. 3.1 - Graph each equation.
12.
Ch. 3.1 - Graph each equation.
12.
Ch. 3.1 - Graph each equation. y = 5 2 x + 1Ch. 3.1 - Simplify the equation if possible. Find the...Ch. 3.1 - Simplify the equation if possible. Find the...Ch. 3.1 - Simplify the equation if possible. Find the...Ch. 3.1 - Simplify the equation if possible. Find the...Ch. 3.1 - Simplify the equation if possible. Find the...Ch. 3.1 - Simplify the equation if possible. Find the...Ch. 3.1 - Simplify the equation if possible. Find the...Ch. 3.1 - Simplify the equation if possible. Find the...Ch. 3.1 - Simplify the equation if possible. State whether...Ch. 3.1 - Simplify the equation if possible. State whether...Ch. 3.1 - Simplify the equation if possible. State whether...Ch. 3.1 - Simplify the equation if possible. State whether...Ch. 3.1 - Simplify the equation if possible. State whether...Ch. 3.1 - Simplify the equation if possible. State whether...Ch. 3.1 - Simplify the equation if possible. State whether...Ch. 3.1 - Simplify each equation if possible. Then graph the...Ch. 3.1 - Simplify each equation if possible. Then graph the...Ch. 3.1 - Simplify each equation if possible. Then graph the...Ch. 3.1 - Simplify each equation if possible. Then graph the...Ch. 3.1 - Simplify each equation if possible. Then graph the...Ch. 3.1 - Graph each equation. Use appropriate scales on...Ch. 3.1 - Graph each equation. Use appropriate scales on...Ch. 3.1 - Income of Men Versus Women The following graph...Ch. 3.1 - Income of Men Versus Women The following graph...Ch. 3.1 - Income of Men Versus Women The following graph...Ch. 3.1 - Income of Men Versus Women The following graph...Ch. 3.1 - Income of Men Versus Women The following graph...Ch. 3.1 - Prob. 42ECh. 3.1 - 43. Baseball If a baseball is thrown vertically...Ch. 3.1 - 44. Gasoline Storage Tank A full storage tank on...Ch. 3.1 - [1.3.3] Evaluate 36 ÷ ( 8 − 6 ) 2 + 3 ( − 4 )Ch. 3.1 - Prob. 46ECh. 3.1 - 47. [2.4.1.] Balloon Giveaway A novelty company is...Ch. 3.1 - Prob. 48ECh. 3.1 - Prob. 1QQCh. 3.1 - Prob. 2QQCh. 3.1 - Prob. 3QQCh. 3.1 - Prob. 4QQCh. 3.2 - Verbal and Writing Skills, Exercises 1-6 Slope...Ch. 3.2 - Verbal and Writing Skills, Exercises 1-6 A...Ch. 3.2 - Verbal and Writing Skills, Exercises 1-6 The slope...Ch. 3.2 - Verbal and Writing Skills, Exercises 1-6
4. Two...Ch. 3.2 - Verbal and Writing Skills, Exercises 1-6
5. Does...Ch. 3.2 - Prob. 6ECh. 3.2 - Find the slope, if possible, of the line passing...Ch. 3.2 - Find the slope, if possible, of the line passing...Ch. 3.2 - Find the slope, if possible, of the line passing...Ch. 3.2 - Find the slope, if possible, of the line passing...Ch. 3.2 - Find the slope, if possible, of the line passing...Ch. 3.2 - Find the slope, if possible, of the line passing...Ch. 3.2 - Find the slope, if possible, of the line passing...Ch. 3.2 - Find the slope, if possible, of the line passing...Ch. 3.2 - Find the slope, if possible, of the line passing...Ch. 3.2 - Find the slope, if possible, of the line passing...Ch. 3.2 - Find the slope, if possible, of the line passing...Ch. 3.2 - Find the slope, if possible, of the line passing...Ch. 3.2 - 19. Snowboarding Find the slope (grade) of a...Ch. 3.2 - 20. Grade of a Road Find the grade of a mountain...Ch. 3.2 - Rock Formation Find the slope (pitch) of a...Ch. 3.2 - Pitch of a Roof Find the slope (pitch) of a roof...Ch. 3.2 - 23. Slope of Street Baldwin Street in Dunedin, New...Ch. 3.2 - 24. Slope of a Roller Coaster Goliath at Six Flags...Ch. 3.2 - Find the slope of a line parallel to the line that...Ch. 3.2 - Find the slope of a line parallel to the line that...Ch. 3.2 - Find the slope of a line parallel to the line that...Ch. 3.2 - Find the slope of a line parallel to the line that...Ch. 3.2 - Prob. 29ECh. 3.2 - Find the slope of a line parallel to the line that...Ch. 3.2 - Find the slope of a line perpendicular to the line...Ch. 3.2 - Find the slope of a line perpendicular to the line...Ch. 3.2 - Find the slope of a line perpendicular to the line...Ch. 3.2 - Find the slope of a line perpendicular to the line...Ch. 3.2 - Prob. 35ECh. 3.2 - Prob. 36ECh. 3.2 - A line k passes through the points ( − 3 , − 9 )...Ch. 3.2 - Prob. 38ECh. 3.2 - Prob. 39ECh. 3.2 - 40. Do the points , and C(8,1) lie on a straight...Ch. 3.2 - 41. Architect Most new buildings are required to...Ch. 3.2 - Rate of Climb of Aircraft A small Cessna plane...Ch. 3.2 - Prob. 43ECh. 3.2 - Prob. 44ECh. 3.2 - Prob. 45ECh. 3.2 - Prob. 46ECh. 3.2 - Prob. 1QQCh. 3.2 - Prob. 2QQCh. 3.2 - Prob. 3QQCh. 3.2 - Prob. 4QQCh. 3.3 - Verbal and Writing Skills, Exercises 1 and 2 You...Ch. 3.3 - Verbal and Writing Skills, Exercises 1 and 2
2....Ch. 3.3 - Write an equation of the line with the given slope...Ch. 3.3 - Write an equation of the line with the given slope...Ch. 3.3 - Write an equation of the line with the given slope...Ch. 3.3 - Write an equation of the line with the given slope...Ch. 3.3 - Find the slope and y-intercept of each of the...Ch. 3.3 - Find the slope and y-intercept of each of the...Ch. 3.3 - Find the slope and y-intercept of each of the...Ch. 3.3 - Find the slope and y-intercept of each of the...Ch. 3.3 - Find the slope and y-intercept of each of the...Ch. 3.3 - Find the slope and y-intercept of each of the...Ch. 3.3 - Find the slope and y-intercept of each of the...Ch. 3.3 - Find the slope and y-intercept of each of the...Ch. 3.3 - Find the slope and y-intercept of each of the...Ch. 3.3 - Write each equation in slope-intercept form. Then...Ch. 3.3 - Prob. 17ECh. 3.3 - Write each equation in slope-intercept form. Then...Ch. 3.3 - Write each equation in slope-intercept form. Then...Ch. 3.3 - Write each equation in slope-intercept form. Then...Ch. 3.3 - Write each equation in slope-intercept form. Then...Ch. 3.3 - For each equation find the slope and the...Ch. 3.3 - Prob. 23ECh. 3.3 - For each equation find the slope and the...Ch. 3.3 - For each equation find the slope and the...Ch. 3.3 - Prob. 26ECh. 3.3 - Find an equation of the line that passes through...Ch. 3.3 - Find an equation of the line that passes through...Ch. 3.3 - Find an equation of the line that passes through...Ch. 3.3 - Find an equation of the line that passes through...Ch. 3.3 - Find an equation of the line that passes through...Ch. 3.3 - Find an equation of the line passing through the...Ch. 3.3 - Find an equation of the line passing through the...Ch. 3.3 - Find an equation of the line passing through the...Ch. 3.3 - Find an equation of the line passing through the...Ch. 3.3 - Find an equation of the line passing through the...Ch. 3.3 - Prob. 37ECh. 3.3 - Prob. 38ECh. 3.3 - Prob. 39ECh. 3.3 - Find an equation of the line satisfying the...Ch. 3.3 - Find an equation of the line satisfying the...Ch. 3.3 - Find an equation of the line satisfying the...Ch. 3.3 - Find an equation of the line satisfying the...Ch. 3.3 - Prob. 44ECh. 3.3 - Find an equation of the line satisfying the...Ch. 3.3 - Prob. 46ECh. 3.3 - Without graphing, determine whether the following...Ch. 3.3 - Prob. 48ECh. 3.3 - Without graphing, determine whether the following...Ch. 3.3 - Prob. 50ECh. 3.3 - Without graphing, determine whether the following...Ch. 3.3 - Prob. 52ECh. 3.3 - Prob. 53ECh. 3.3 - Prob. 54ECh. 3.3 - Prob. 55ECh. 3.3 - Prob. 56ECh. 3.3 - Cost of Homes The median sale price of...Ch. 3.3 - Prob. 58ECh. 3.3 - Prob. 59ECh. 3.3 - Prob. 60ECh. 3.3 - Prob. 61ECh. 3.3 - Prob. 1QQCh. 3.3 - Prob. 2QQCh. 3.3 - Prob. 3QQCh. 3.3 - Prob. 4QQCh. 3.4 - Verbal and Writing Skills, Exercises 1-6 Explain...Ch. 3.4 - Prob. 2ECh. 3.4 - Verbal and Writing Skills, Exercises 1-6 When...Ch. 3.4 - Prob. 4ECh. 3.4 - Verbal and Writing Skills, Exercises 1-6
5. When...Ch. 3.4 - Prob. 6ECh. 3.4 - Prob. 7ECh. 3.4 - Prob. 8ECh. 3.4 - Graph each region.
9.
Ch. 3.4 - Prob. 10ECh. 3.4 - Prob. 11ECh. 3.4 - Prob. 12ECh. 3.4 - Prob. 13ECh. 3.4 - Graph each region. 6 y − x ≤ 12Ch. 3.4 - Prob. 15ECh. 3.4 - Prob. 16ECh. 3.4 - Graph each region.
17.
Ch. 3.4 - Graph each region. x − 3 y ≥ 0Ch. 3.4 - Simplify and graph each inequality in a...Ch. 3.4 - Simplify and graph each inequality in a...Ch. 3.4 - Simplify and graph each inequality in a...Ch. 3.4 - Prob. 22ECh. 3.4 - Simplify and graph each inequality in a...Ch. 3.4 - Simplify and graph each inequality in a...Ch. 3.4 - Simplify and graph each inequality in a...Ch. 3.4 - Simplify and graph each inequality in a...Ch. 3.4 - Prob. 27ECh. 3.4 - Prob. 28ECh. 3.4 - Prob. 29ECh. 3.4 - Prob. 1QQCh. 3.4 - Prob. 2QQCh. 3.4 - Prob. 3QQCh. 3.4 - Prob. 4QQCh. 3.5 - Verbal and Writing Skills, Exercises 1-4 Explain...Ch. 3.5 - Prob. 2ECh. 3.5 - Verbal and Writing Skills, Exercises 1-4 What are...Ch. 3.5 - Prob. 4ECh. 3.5 - What are the domain and range of each relation? Is...Ch. 3.5 - What are the domain and range of each relation? Is...Ch. 3.5 - What are the domain and range of each relation? Is...Ch. 3.5 - What are the domain and range of each relation? Is...Ch. 3.5 - What are the domain and range of each relation? Is...Ch. 3.5 - Prob. 10ECh. 3.5 - What are the domain and range of each relation? Is...Ch. 3.5 - Prob. 12ECh. 3.5 - What are the domain and range of each relation? Is...Ch. 3.5 - Prob. 14ECh. 3.5 - Prob. 15ECh. 3.5 - Prob. 16ECh. 3.5 - Determine whether the graph represents a function.Ch. 3.5 - Determine whether the graph represents a function.Ch. 3.5 - Determine whether the graph represents a...Ch. 3.5 - Determine whether the graph represents a function.Ch. 3.5 - Determine whether the graph represents a function.Ch. 3.5 - Determine whether the graph represents a...Ch. 3.5 - Determine whether the graph represents a function.Ch. 3.5 - Determine whether the graph represents a function.Ch. 3.5 - Determine whether the graph represents a...Ch. 3.5 - Prob. 26ECh. 3.5 - Given the function defined by , find the...Ch. 3.5 - Prob. 28ECh. 3.5 - Given the function defined by , find the...Ch. 3.5 - Prob. 30ECh. 3.5 - Given the function defined by h ( x ) = 3 4 x + 1...Ch. 3.5 - Prob. 32ECh. 3.5 - Prob. 33ECh. 3.5 - Prob. 34ECh. 3.5 - Given the function defined by r ( x ) = 2 x 2 − 4...Ch. 3.5 - Prob. 36ECh. 3.5 - Given the function defined by , find the...Ch. 3.5 - Prob. 38ECh. 3.5 - Given the function defined by t ( x ) = x 3 − 3 x...Ch. 3.5 - Given the function defined by t ( x ) = x 3 − 3 x...Ch. 3.5 - Given the function defined by t ( x ) = x 3 − 3 x...Ch. 3.5 - 42. If , find
Ch. 3.5 - 43. If , find
Ch. 3.5 - Prob. 44ECh. 3.5 - 45. If , find g (2).
Ch. 3.5 - Prob. 46ECh. 3.5 - Find the range of the function for the given...Ch. 3.5 - Prob. 48ECh. 3.5 - Find the domain of the function for the given...Ch. 3.5 - Prob. 50ECh. 3.5 - Prob. 51ECh. 3.5 - Prob. 52ECh. 3.5 - Prob. 1QQCh. 3.5 - Prob. 2QQCh. 3.5 - Prob. 3QQCh. 3.5 - Prob. 4QQCh. 3.6 - Graph each function. f ( x ) = 3 4 x + 2Ch. 3.6 - Prob. 2ECh. 3.6 - Graph each function.
3.
Ch. 3.6 - Prob. 4ECh. 3.6 - Prob. 5ECh. 3.6 - Prob. 6ECh. 3.6 - Wildlife Biologist Ning is a wildlife biologist...Ch. 3.6 - Insulation in a House The R value of insulation in...Ch. 3.6 - Graph each function.
9.
Ch. 3.6 - Prob. 10ECh. 3.6 - Prob. 11ECh. 3.6 - Prob. 12ECh. 3.6 - Graph each function.
13.
Ch. 3.6 - Prob. 14ECh. 3.6 - Prob. 15ECh. 3.6 - Prob. 16ECh. 3.6 - Prob. 17ECh. 3.6 - Prob. 18ECh. 3.6 - Graph each function.
19.
Ch. 3.6 - Prob. 20ECh. 3.6 - Graph each function.
21.
Ch. 3.6 - Prob. 22ECh. 3.6 - Prob. 23ECh. 3.6 - Prob. 24ECh. 3.6 - Prob. 25ECh. 3.6 - Prob. 26ECh. 3.6 - In each of the following problems, a table of...Ch. 3.6 - Prob. 28ECh. 3.6 - Prob. 29ECh. 3.6 - Prob. 30ECh. 3.6 - In each of the following problems, a table of...Ch. 3.6 - Prob. 32ECh. 3.6 - Computer Manufacturing The following table shows...Ch. 3.6 - Prob. 34ECh. 3.6 - Prob. 35ECh. 3.6 - Prob. 36ECh. 3.6 - Prob. 37ECh. 3.6 - Prob. 38ECh. 3.6 - Prob. 1QQCh. 3.6 - Prob. 2QQCh. 3.6 - Prob. 3QQCh. 3.6 - Concept Check Explain how you would find f ( 1 4 )...Ch. 3 - Graph the straight line determined by each of the...Ch. 3 - Graph the straight line determined by each of the...Ch. 3 - Prob. 3RPCh. 3 - Prob. 4RPCh. 3 - Prob. 5RPCh. 3 - Prob. 6RPCh. 3 - Prob. 7RPCh. 3 - 8. Find the slope of a line perpendicular to the...Ch. 3 - 9. A line has a slope of and a y-intercept of (0,...Ch. 3 - Find the standard form of the equation of the line...Ch. 3 - 11. Find the standard form of the equation of the...Ch. 3 - 12. Computer Company Profit A computer company's...Ch. 3 - In exercises 13 - 16, find an equation of the line...Ch. 3 - In exercises 13 - 16, find an equation of the line...Ch. 3 - Prob. 15RPCh. 3 - In exercises 13 - 16, find an equation of the line...Ch. 3 - In exercises 17 - 18, find the slope and...Ch. 3 - In exercises 17 -18, find the slope and...Ch. 3 - Prob. 19RPCh. 3 - Graph the region described by the inequality.
20....Ch. 3 - Graph the region described by the inequality. 3 x...Ch. 3 - Graph the region described by the inequality. x ≤...Ch. 3 - Prob. 23RPCh. 3 - Prob. 24RPCh. 3 - What is the domain and range of each relation? Is...Ch. 3 - What is the domain and range of each relation? Is...Ch. 3 - Determine whether the graph represents a function.Ch. 3 - Determine whether the graph represents a function.Ch. 3 - If f ( x ) = − 2 x + 10 , find f ( − 1 ) and f ( −...Ch. 3 - If h ( x ) = x 3 + 2 x 2 − 5 x + 8 , find h ( − 1...Ch. 3 - Graph each function. f ( x ) = 2 | x − 1 |Ch. 3 - Prob. 32RPCh. 3 - Prob. 33RPCh. 3 - Prob. 34RPCh. 3 - Prob. 35RPCh. 3 - Prob. 36RPCh. 3 - Complete the table of values for each...Ch. 3 - 38. Find the slope and y-intercept of .
Ch. 3 - A line n is perpendicular to the line passing...Ch. 3 - A line p is parallel to the line passing through...Ch. 3 - Find the standard form of the equation of the line...Ch. 3 - 42. Find an equation of the line parallel to and...Ch. 3 - Find the slope-intercept form of the equation of...Ch. 3 - Prob. 44RPCh. 3 - Prob. 45RPCh. 3 - Prob. 46RPCh. 3 - Prob. 47RPCh. 3 - Prob. 48RPCh. 3 - Prob. 1TCh. 3 - Prob. 2TCh. 3 - Prob. 3TCh. 3 - Prob. 4TCh. 3 - Find the slope of the line passing through ( 2 , −...Ch. 3 - Prob. 6TCh. 3 - Prob. 7TCh. 3 - Prob. 8TCh. 3 - Prob. 9TCh. 3 - Write an equation of the horizontal line passing...Ch. 3 - Prob. 11TCh. 3 - Prob. 12TCh. 3 - Prob. 13TCh. 3 - Prob. 14TCh. 3 - 15. If , find f .
Ch. 3 - Prob. 16TCh. 3 - Prob. 17TCh. 3 - Prob. 18TCh. 3 - Prob. 19TCh. 3 - Prob. 20TCh. 3 - Prob. 21TCh. 3 - Prob. 1CTCh. 3 - Evaluate the expression. 3 ( 4 − 6 ) 2 + 16 + 12 ÷...Ch. 3 - Prob. 3CTCh. 3 - Prob. 4CTCh. 3 - Prob. 5CTCh. 3 - Prob. 6CTCh. 3 - Prob. 7CTCh. 3 - Prob. 8CTCh. 3 - Prob. 9CTCh. 3 - Prob. 10CTCh. 3 - Prob. 11CTCh. 3 - Prob. 12CTCh. 3 - Prob. 13CTCh. 3 - Prob. 14CTCh. 3 - Prob. 15CTCh. 3 - Prob. 16CTCh. 3 - Prob. 17CTCh. 3 - Prob. 18CTCh. 3 - Prob. 19CTCh. 3 - Prob. 20CTCh. 3 - Prob. 21CTCh. 3 - Prob. 22CTCh. 3 - Prob. 23CTCh. 3 - Prob. 24CTCh. 3 - Prob. 25CT
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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.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_forward1. Graph the function f(x)=sin(x) −2¸ Answer: y -2π 一元 1 −1 -2 -3 -4+ 元 2πarrow_forward
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