Cumulative Exam — Cumulative exam Answers

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Which equation could be used to calculate the sum of the geometric series?

Question illustration
A
S 5 = StartFraction one-third (1 minus (two-thirds) Superscript 5 Baseline) Over (1 minus two-thirds) EndFraction
Option A
B
S 5 = StartFraction two-thirds (1 minus (one-third) Superscript 5 Baseline) Over (1 minus one-third) EndFraction
Option B
C
S = StartFraction one-third Over (1 minus two-thirds) EndFraction
Option C
D
S = StartFraction two-thirds Over (1 minus one-third) EndFraction
Option D
42
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Which of the following accurately lists all of the discontinuities for the function graphed below?

Question illustration
A
jump discontinuity at x = 0; point discontinuity at x = 8
B
jump discontinuity at x = 0; point discontinuities at x = –2 and x = 8
C
jump discontinuities at x = 0 and x = 8; point discontinuity at x = –2
D
jump discontinuity at x = 0; point discontinuities at x = –2, x = 3 and x = 8
43

Given that , what is the value of ?

Question illustration
A
Plus-or-minus StartRoot eight-thirds EndFraction
Option A
B
Plus-or-minus StartRoot eleven-eighths EndFraction
Option B
C
Eleven-eighths
Option C
D
Eight-thirds
Option D
44

How is the graph of transformed to produce the graph of ?

Question illustration
A
It is stretched horizontally by a factor of 2 and translated up 3 units.
B
It is compressed horizontally by a factor of 2 and translated up 3 units.
C
It is stretched vertically by a factor of 2 and translated up 3 units.
D
It is compressed vertically by a factor of 2 and translated up 3 units.
45

What is the value of given the diagram below?

Question illustration
A
Negative StartRoot 5 EndRoot
Option A
B
Negative StartFraction StartRoot 5 EndRoot Over 2 EndFraction
Option B
C
StartFraction StartRoot 5 EndRoot Over 2 EndFraction
Option C
D
StartRoot 5 EndRoot
Option D
46

The scores of an eighth-grade math test have a normal distribution with a mean = 83 and a standard deviation = 5. If Din’s test score was 92, which expression would she write to find the z-score of her test score?

Question illustration
A
z = StartFraction 92 minus 83 Over 83 EndFraction
Option A
B
z = StartFraction 83 minus 92 Over 5 EndFraction
Option B
C
z = StartFraction 92 minus 83 Over 5 EndFraction
Option C
D
z = StartFraction 5 minus 83 Over 92 EndFraction
Option D
47

What is the value of ?

Question illustration
A
–4.00
B
–0.25
C
1.51
D
2.41
48

The amount of simple interest accrued on a sum of money varies jointly with the amount of money, the interest rate, and the time the money is invested. A sum of money is invested at a simple interest rate of 4% for 3 years and accrues $168 in interest. The same sum of money is invested in a second account at a simple interest rate of 6% for 4 years. Which statement is true?

A
The amount of interest accrued on the second account is less than double the amount of interest accrued on the first account.
B
The amount of interest accrued on the second account is double the amount of interest accrued on the first account.
C
The amount of interest accrued on the second account is more than double but less than triple the interest accrued on the first account.
D
The amount of interest accrued on the second account is more than triple the interest accrued on the first account.
49

What is the true solution to

Question illustration
A
x = 5
Option A
B
x = 10
Option B
C
x = 50
Option C
D
x = 100
Option D
50

Which expression is equivalent to cos120°?

A
°
Option A
B
cos240°
C
cos300°
D
cos420°

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