AnswersTX-Advanced Quantitative ReasoningScalar and Matrix Multiplication

Scalar and Matrix Multiplication — Unit test Answers

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The height, h, in feet of a flag on one blade of a windmill as a function of time, t, in seconds can be modeled by the equation . What is the minimum height of the flag?

Question illustration
A
3 feet
B
9 feet
C
12 feet
D
15 feet
22
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A roofer sketches a diagram of a house on which he is working. Based on the diagram, about how wide is the house?

Question illustration
A
28.5 ft.
B
37.4 ft.
C
42.9 ft.
D
56.2 ft.
23

A buoy starts at a height of 0 in relation to sea level and then goes up. Its maximum displacement in either direction is 6 feet, and the time it takes to go from its highest point to its lowest point is 4 seconds. Which of the following equations can be used to model h, the height in feet of the buoy in relation to sea level as a function of time, t, in seconds?

A
h = 4 sine (StartFraction pi Over 6 EndFraction t)
Option A
B
h = 4 sine (StartFraction pi Over 3 EndFraction t)
Option B
C
h = 6 sine (StartFraction pi Over 4 EndFraction t)
Option C
D
h = 6 sine (StartFraction pi Over 2 EndFraction t)
Option D
24

Which of the following situations can be modeled with a periodic function?

A
the height of a football after it has been thrown
B
the height of a person riding on an escalator
C
the height of a building after it has been constructed
D
the height of a pebble stuck in the tread of a tire
25

The height, h, in feet of a piece of cloth tied to a waterwheel in relation to sea level as a function of time, t, in seconds can be modeled by the equation . What is the period of the function?

Question illustration
A
seconds
Option A
B
seconds
Option B
C
8 seconds
D
20 seconds

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