Elementary & Intermediate Algebra
4th Edition
ISBN: 9780134556079
Author: Sullivan, Michael, III, Struve, Katherine R., Mazzarella, Janet.
Publisher: Pearson,
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Textbook Question
Chapter C.3, Problem 55E
In Problems 51-56, an augmented matrix of a system of linear equations is given. Write the system of equations corresponding to the giver matrix. Use x, y; or x, y, z as variables. Determine whether the system is consistent with independent equations, consistent with dependent equations, or inconsistent. If it is consistent with independent equations, give the solution.
55.
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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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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
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40
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0
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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 C Solutions
Elementary & Intermediate Algebra
Ch. C.1 - A___ ___ ___ ___ is a grouping of two or more...Ch. C.1 - A____ of a system of equations consists of values...Ch. C.1 - Prob. 3ECh. C.1 - Prob. 4ECh. C.1 - Prob. 5ECh. C.1 - True or False A system of two linear equations...Ch. C.1 - Prob. 7ECh. C.1 - Prob. 8ECh. C.1 - Prob. 9ECh. C.1 - Prob. 10E
Ch. C.1 - Prob. 11ECh. C.1 - Prob. 12ECh. C.1 - Prob. 13ECh. C.1 - Prob. 14ECh. C.1 - Prob. 15ECh. C.1 - Prob. 16ECh. C.1 - 17.While a system of equations is solved, a false...Ch. C.1 - Prob. 18ECh. C.1 - Prob. 19ECh. C.1 - Prob. 20ECh. C.1 - Prob. 21ECh. C.1 - In Problems 2022, solve the system. Draw a graph...Ch. C.1 - Prob. 23ECh. C.1 - Prob. 24ECh. C.1 - Prob. 25ECh. C.1 - Prob. 26ECh. C.1 - Prob. 27ECh. C.1 - Prob. 28ECh. C.1 - Prob. 29ECh. C.1 - Prob. 30ECh. C.1 - Prob. 31ECh. C.1 - Prob. 32ECh. C.1 - Prob. 33ECh. C.1 - Prob. 34ECh. C.1 - Prob. 35ECh. C.1 - Prob. 36ECh. C.1 - In Problems 3542, solve the system of equations...Ch. C.1 - Prob. 38ECh. C.1 - Prob. 39ECh. C.1 - Prob. 40ECh. C.1 - Prob. 41ECh. C.1 - Prob. 42ECh. C.1 - Prob. 43ECh. C.1 - Prob. 44ECh. C.1 - Prob. 45ECh. C.1 - Prob. 46ECh. C.1 - Prob. 47ECh. C.1 - Prob. 48ECh. C.1 - Prob. 49ECh. C.1 - Prob. 50ECh. C.1 - Prob. 51ECh. C.1 - Prob. 52ECh. C.1 - Prob. 53ECh. C.1 - Prob. 54ECh. C.1 - Prob. 55ECh. C.1 - Prob. 56ECh. C.1 - Prob. 57ECh. C.1 - Prob. 58ECh. C.1 - Prob. 59ECh. C.1 - Prob. 60ECh. C.1 - Prob. 61ECh. C.1 - Prob. 62ECh. C.1 - Prob. 63ECh. C.1 - Prob. 64ECh. C.1 - Prob. 65ECh. C.1 - Prob. 66ECh. C.1 - Prob. 67ECh. C.1 - Prob. 68ECh. C.1 - Prob. 69ECh. C.1 - Prob. 70ECh. C.1 - Prob. 71ECh. C.1 - Prob. 72ECh. C.1 - Prob. 73ECh. C.1 - Prob. 74ECh. C.1 - Prob. 75ECh. C.1 - Prob. 76ECh. C.1 - Prob. 77ECh. C.1 - Prob. 78ECh. C.1 - Prob. 79ECh. C.1 - Centroid The medians of a triangle are the line...Ch. C.1 - Prob. 81ECh. C.1 - Prob. 82ECh. C.1 - Prob. 83ECh. C.1 - Prob. 84ECh. C.1 - In this section, we presented two algebraic...Ch. C.1 - Prob. 86ECh. C.1 - Prob. 87ECh. C.1 - In the process of solving a system of linear...Ch. C.1 - Prob. 89ECh. C.1 - Prob. 90ECh. C.1 - Prob. 91ECh. C.1 - Prob. 92ECh. C.1 - Prob. 93ECh. C.1 - Prob. 94ECh. C.1 - Prob. 95ECh. C.1 - Prob. 96ECh. C.2 - Prob. 1ECh. C.2 - A _______ to a system of equations consists of...Ch. C.2 - Prob. 3ECh. C.2 - Prob. 4ECh. C.2 - Prob. 5ECh. C.2 - Prob. 6ECh. C.2 - Prob. 7ECh. C.2 - Prob. 8ECh. C.2 - Prob. 9ECh. C.2 - Prob. 10ECh. C.2 - Prob. 11ECh. C.2 - Prob. 12ECh. C.2 - Prob. 13ECh. C.2 - Prob. 14ECh. C.2 - Prob. 15ECh. C.2 - Prob. 16ECh. C.2 - Prob. 17ECh. C.2 - Prob. 18ECh. C.2 - Prob. 19ECh. C.2 - Prob. 20ECh. C.2 - Prob. 21ECh. C.2 - Prob. 22ECh. C.2 - Prob. 23ECh. C.2 - Prob. 24ECh. C.2 - Prob. 25ECh. C.2 - Prob. 26ECh. C.2 - Prob. 27ECh. C.2 - Prob. 28ECh. C.2 - Prob. 29ECh. C.2 - Prob. 30ECh. C.2 - Prob. 31ECh. C.2 - Prob. 32ECh. C.2 - Prob. 33ECh. C.2 - Prob. 34ECh. C.2 - Prob. 35ECh. C.2 - Prob. 36ECh. C.2 - Prob. 37ECh. C.2 - Prob. 38ECh. C.2 - Prob. 39ECh. C.2 - Prob. 40ECh. C.2 - Prob. 41ECh. C.2 - Prob. 42ECh. C.2 - Prob. 43ECh. C.2 - Prob. 44ECh. C.2 - Prob. 45ECh. C.2 - Prob. 46ECh. C.2 - Prob. 47ECh. C.2 - Prob. 48ECh. C.2 - Prob. 49ECh. C.2 - Prob. 50ECh. C.2 - Prob. 51ECh. C.2 - Prob. 52ECh. C.2 - Prob. 53ECh. C.2 - Prob. 54ECh. C.2 - Prob. 55ECh. C.2 - Prob. 56ECh. C.2 - Prob. 57ECh. C.2 - Prob. 58ECh. C.2 - Prob. 59ECh. C.3 - Prob. 1ECh. C.3 - Prob. 2ECh. C.3 - Prob. 3ECh. C.3 - Prob. 4ECh. C.3 - Prob. 5ECh. C.3 - Prob. 6ECh. C.3 - Prob. 7ECh. C.3 - Prob. 8ECh. C.3 - Prob. 9ECh. C.3 - Prob. 10ECh. C.3 - Prob. 11ECh. C.3 - Prob. 12ECh. C.3 - Prob. 13ECh. C.3 - In Problems 13 and 14, solve each system of...Ch. C.3 - Prob. 15ECh. C.3 - Prob. 16ECh. C.3 - Prob. 17ECh. C.3 - Prob. 18ECh. C.3 - Prob. 19ECh. C.3 - Prob. 20ECh. C.3 - Prob. 21ECh. C.3 - Prob. 22ECh. C.3 - Prob. 23ECh. C.3 - Prob. 24ECh. C.3 - Prob. 25ECh. C.3 - Prob. 26ECh. C.3 - Prob. 27ECh. C.3 - Prob. 28ECh. C.3 - Prob. 29ECh. C.3 - Prob. 30ECh. C.3 - Prob. 31ECh. C.3 - Prob. 32ECh. C.3 - Prob. 33ECh. C.3 - Prob. 34ECh. C.3 - Prob. 35ECh. C.3 - Prob. 36ECh. C.3 - Prob. 37ECh. C.3 - Prob. 38ECh. C.3 - Prob. 39ECh. C.3 - Prob. 40ECh. C.3 - Prob. 41ECh. C.3 - In Problems 39-44, solve each system of equations...Ch. C.3 - Prob. 43ECh. C.3 - Prob. 44ECh. C.3 - Prob. 45ECh. C.3 - Prob. 46ECh. C.3 - Prob. 47ECh. C.3 - Prob. 48ECh. C.3 - Prob. 49ECh. C.3 - Prob. 50ECh. C.3 - Prob. 51ECh. C.3 - Prob. 52ECh. C.3 - Prob. 53ECh. C.3 - Prob. 54ECh. C.3 - In Problems 51-56, an augmented matrix of a system...Ch. C.3 - In Problems 51-56, an augmented matrix of a system...Ch. C.3 - Prob. 57ECh. C.3 - Prob. 58ECh. C.3 - Prob. 59ECh. C.3 - Prob. 60ECh. C.3 - Prob. 61ECh. C.3 - Prob. 62ECh. C.3 - Prob. 63ECh. C.3 - Prob. 64ECh. C.3 - Prob. 65ECh. C.3 - Prob. 66ECh. C.3 - In Problems 57-78, solve each system of equations...Ch. C.3 - Prob. 68ECh. C.3 - Prob. 69ECh. C.3 - Prob. 70ECh. C.3 - Prob. 71ECh. C.3 - Prob. 72ECh. C.3 - Prob. 73ECh. C.3 - Prob. 74ECh. C.3 - Prob. 75ECh. C.3 - Prob. 76ECh. C.3 - Prob. 77ECh. C.3 - In Problems 45-50, solve each system of equations...Ch. C.3 - Prob. 79ECh. C.3 - Prob. 80ECh. C.3 - Finance Carissa has 20,000 to invest. Her...Ch. C.3 - Prob. 82ECh. C.3 - Prob. 83ECh. C.3 - Prob. 84ECh. C.3 - Prob. 85ECh. C.3 - Prob. 86ECh. C.3 - Prob. 87ECh. C.3 - Prob. 88ECh. C.3 - Prob. 89ECh. C.3 - Prob. 90ECh. C.3 - Graphing calculators have the ability to solve...Ch. C.3 - Prob. 92ECh. C.3 - Prob. 93ECh. C.3 - Graphing calculators have the ability to solve...Ch. C.4 - D = |abcd| = _____________.Ch. C.4 - Prob. 2ECh. C.4 - Prob. 3ECh. C.4 - Prob. 4ECh. C.4 - Prob. 5ECh. C.4 - In Problems 5 and 6, use Cramers Rule to solve the...Ch. C.4 - Prob. 7ECh. C.4 - Prob. 8ECh. C.4 - Prob. 9ECh. C.4 - Prob. 10ECh. C.4 - Prob. 11ECh. C.4 - Prob. 12ECh. C.4 - Prob. 13ECh. C.4 - Prob. 14ECh. C.4 - Prob. 15ECh. C.4 - Prob. 16ECh. C.4 - Prob. 17ECh. C.4 - Prob. 18ECh. C.4 - In Problems 15-22, solve each system of equations...Ch. C.4 - Prob. 20ECh. C.4 - Prob. 21ECh. C.4 - Prob. 22ECh. C.4 - Prob. 23ECh. C.4 - Prob. 24ECh. C.4 - Prob. 25ECh. C.4 - Prob. 26ECh. C.4 - Prob. 27ECh. C.4 - Prob. 28ECh. C.4 - Prob. 29ECh. C.4 - Prob. 30ECh. C.4 - Prob. 31ECh. C.4 - Prob. 32ECh. C.4 - Prob. 33ECh. C.4 - Prob. 34ECh. C.4 - Prob. 35ECh. C.4 - Prob. 36ECh. C.4 - Prob. 37ECh. C.4 - Prob. 38ECh. C.4 - Prob. 39ECh. C.4 - Prob. 40ECh. C.4 - Prob. 41ECh. C.4 - Prob. 42ECh. C.4 - Prob. 43ECh. C.4 - Prob. 44ECh. C.4 - Prob. 45ECh. C.4 - Prob. 46ECh. C.4 - Prob. 47ECh. C.4 - Prob. 48ECh. C.4 - Problems 4750, use the following result....Ch. C.4 - Prob. 50ECh. C.4 - Prob. 51ECh. C.4 - Prob. 52ECh. C.4 - Prob. 53ECh. C.4 - Prob. 54ECh. C.4 - Prob. 55ECh. C.4 - In Problems 5560, use technology to solve the...Ch. C.4 - Prob. 57ECh. C.4 - In Problems 5560, use technology to solve the...Ch. C.4 - Prob. 59ECh. C.4 - Prob. 60E
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