AnswersHCISD-Mathematical Models with Applications B-CR SUMMERModeling with Periodic Functions

Modeling with Periodic Functions — Cumulative exam Answers

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21
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Weston completed a hypothesis test and found that he could not reject the null hypothesis. Which of the following is a valid reason for his conclusion?

A
The z-statistic is less than 0.
B
The z-statistic lies in the critical region.
C
The z-statistic is greater than 0.
D
The z-statistic lies outside the critical region.
22
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The intensity, or loudness, of a sound can be measured in decibels (dB), according to the equation , where I is the intensity of a given sound and I0 is the threshold of hearing intensity. What is the intensity, in decibels, [I(dB)], when ?

Question illustration
A
15
B
32
C
320
D
737
23

An angle that shares the same sine value of an angle that measures radians is located where?

Question illustration
A
Quadrant I
B
Quadrant II
C
Quadrant IV
D
along an axis
24

Use the law of sines to find the value of a.Law of sines:

Question illustration
A
2.4 cm
B
2.7 cm
C
3.0 cm
D
3.3 cm
25

Which function is the same as ?

Question illustration
A
y = 3 sine (2 (x + StartFraction pi Over 4 EndFraction)) minus 2
Option A
B
y = negative 3 sine (2 (x + StartFraction pi Over 4 EndFraction)) minus 2
Option B
C
y = 3 cosine (2 (x + StartFraction pi Over 4 EndFraction)) minus 2
Option C
D
y = negative 3 cosine (2 (x + StartFraction pi Over 2 EndFraction)) minus 2
Option D
26

Determine the domain of each piece.Domain of piece 1:[)

A
–5, 5
B
–4, –1
C
1, 4
27

Question text not available

A
Option
B
Option
C
Option
28

Question text not available

A
–4
B
–4x
C
= –4
29

Question text not available

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
30

Determine the domain of each piece.Domain of piece 1:[)

A
–5, 5
B
–4, –1
C
1, 4
31

Question text not available

A
–4
B
–4x
C
= –4
32

Which right prism would have the same volume as a square prism with a base area of 36 m2 and a height of 3 m?

A
[Image: A right triangular prism is shown. The triangle ha...]
Option A
B
[Image: A rectangular prism is shown. The rectangle has si...]
Option B
C
[Image: A triangular prism is shown. The triangle has a ba...]
Option C
33

Which statements about the composite figure are true? Check all that apply.

A
The composite figure consists of two rectangular pyramids.
B
The composite figure can be broken down into rectangular prisms.
C
The volume of the composite figure is 1.5(9)(5) + 1.5(9)(5).
D
The total volume is 45 units3.
E
The total volume is 90 units3.
34

Question text not available

Answer:

4.8

35

Which of the following shows the graph of y = –(2)x – 1?

A
On a coordinate plane, a curve is level at y = 0 in quadrant 2 and then decreases rapidly into quadrant 4. It crosses the y-axis at (0, negative 0.5).
Option A
B
On a coordinate plane, a curve is level at y = negative 1 in quadrant 3 and then decreases rapidly into quadrant 4. It crosses the y-axis at (0, negative 2).
Option B
C
On a coordinate plane, a curve is level at y = 1 in quadrant 3 and then decreases rapidly into quadrant 4. It crosses the y-axis at (0, 0).
Option C
D
On a coordinate plane, a curve is level at y = 0 in quadrant 2 and then decreases rapidly into quadrant 4. It crosses the y-axis at (0, negative 2).
Option D
36

Which expression represents the volume of the composite figure?

A
(2)(4.4)(5) + (2)(4.4)(3.9)
B
(2)(4.4)(5) – (2)(4.4)(3.9)
C
(2)(4.4)(5) – (2)(4.4)(3.9)
Option C
D
(2)(4.4)(5) + (2)(4.4)(3.9)
Option D
37

Question text not available

Answer:

105

38

Question text not available

A
Option
Option A
B
Option
Option B
C
Option
Option C
39

Complete the statements about the two cones. The volumes of the cones are equal when . If a > b, then the cross-sectional area of cone A is the cross-sectional area of cone B at every level parallel to their respective bases.

Answers:
Selection 1:a = b
Selection 2:greater than
40

Question text not available

A
Option
B
Option
C
Option

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