Unit Test — Cumulative exam Answers

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The resistance, R, to electricity of a cylindrical-shaped wire is given by the equation , where p represents the resistivity of the wire’s material, L represents the length of the wire, and d represents the diameter of the wire. What happens to the resistance of the wire as the diameter approaches 0?

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A
The resistance approaches 0.
B
The resistance approaches .
Option B
C
The resistance approaches L.
D
The resistance approaches infinity.
2
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Which statement is true about the discontinuities of the function f(x)?

Question illustration
A
There is a hole at x = 2.
B
There are asymptotes at x = 0 and x = –1.
C
There are asymptotes at x = 0 and x = –1 and a hole at .
Option C
D
There are holes at x = 0 and x = –1 and an asymptote at x = 2.
3

For the inverse variation equation , what is the value of p when V = ?

Question illustration
A
StartFraction 1 Over 32 EndFraction
Option A
B
One-half
Option B
C
2
D
32
4

The constraints of a problem are listed below. What are the vertices of the feasible region?

Question illustration
A
(0, 0), (0, 3), (2, 3), (5, 0)
B
(0, 0), (0, 5), (2, 3), (5, 0)
C
(0, 0), (2, 3), (5, 0)
D
(0, 3), (0, 5), (2, 3)
5

The constraints of a problem are listed below. What are the vertices of the feasible region?

Question illustration
A
(0, 0), (0, 2.5), (1.5, 2), (3, 0)
B
(0, 0), (0, 4), (1.5, 2), (7.5, 0)
C
(0, 2.5), (1.5, 2), (4, 3)
D
(0, 4), (1.5, 2), (7.5, 0)
6

For the inverse variation equation xy = k, what is the constant of variation, k, when x = –2 and y = 5?

A
–10
B
Negative two-fifths
Option B
C
Five-halves
Option C
D
10
7

What is the minimum value of C = 7x + 8y, given the constraints on x and y listed below?

Question illustration
A
32
B
42
C
46
D
64
8

A school district needs to arrange transportation for at least 360 students for a field trip. The district can use large buses or small buses. The large buses hold 60 students each and have an operating expense of $300 for the day. The small buses hold 45 students each and have an operating expense of $200 for the day. The district only has chaperones for, at most, seven buses. What is the minimum cost for the transportation for the field trip if each bus has chaperones?

A
$1,400
B
$1,600
C
$1,700
D
$1,800

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Unit Test — Cumulative exam Answers — MO-Algebra…