AnswersDHS Algebra 2 VGeometric Series

Geometric Series — Unit test Answers

15 verified answers3 views
21
Free Preview

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
22
Free Preview

An equation for the depreciation of a car is given by y = A(1 – r)t, where y = current value of the car, A = original cost, r = rate of depreciation, and t = time, in years. The current value of a car is $12,282.50. The car originally cost $20,000 and depreciates at a rate of 15% per year. How old is the car?

A
years
Option A
B
years
Option B
C
3 years
D
4 years
23

What is the range of the function f(x) = –2(6x) + 3?

A
(negative infinity, negative 2 Right-bracket
Option A
B
(negative infinity, 3)
Option B
C
Left-bracket negative 2, infinity)
Option C
D
Left-bracket 3, infinity)
Option D
24

What is the domain of the function

Question illustration
A
x less-than negative 2
Option A
B
x greater-than negative 2
Option B
C
x less-than 2
Option C
D
x greater-than 2
Option D
25

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
26

What is the range of the function graphed below?

Question illustration
A
y greater-than 0
Option A
B
y less-than 0
Option B
C
y less-than 0
Option C
D
y greater-than 0
Option D
27

Which equation has x = 4 as the solution?

A
log Subscript 4 Baseline (3 x + 4) = 2
Option A
B
log Subscript 3 Baseline (2 x minus 5) = 2
Option B
C
log Subscript x Baseline 64 = 4
Option C
D
log Subscript x Baseline 16 = 4
Option D
28

What is the solution of ?

Question illustration
A
6
B
9
C
18
D
81
29

The magnitude, M, of an earthquake is defined to be , where I is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and S is the intensity of a “standard” earthquake, which is barely detectable. What is the magnitude of an earthquake that is 1,000 times more intense than a standard earthquake? Use a calculator. Round your answer to the nearest tenth.

Question illustration
A
2
B
3
C
4.5
D
6.9
30

For what value of x does ?

Question illustration
A
1
B
2
C
4
D
5
31

Which function has a horizontal asymptote of y = 3?

A
f(x) = 3(2x)
B
f(x) = 2(4)x–3
C
f(x) = 2(3x)
D
f(x) = 2(4x) + 3
32

What are the domain and range of ?

Question illustration
A
domain: x > 1; range: y > 2
B
domain: x > 1; range: all real numbers
C
domain: all real numbers; range: y > 1
D
domain: all real numbers; range: all real numbers
33

For what values of x does ?

Question illustration
A
x = –3, x = 1
B
x = –1, x = 3
C
x = negative three-halves, x = 2
Option C
D
x = negative 2, x = three-halves
Option D
34

If , what is the value of x?

Question illustration
A
–3
B
–2
C
2
D
3
35

What is the range of ?

Question illustration
A
all real numbers not equal to 0
B
all real numbers less than 6
C
all real number greater than 6
D
all real numbers
36

If , what is the value of x?

Question illustration
A
Five-eighths
Option A
B
Eight-fifths
Option B
C
2
D
8
37

Which geometric series diverges?

A
Three-fifths + three-tenths + three-twentieths + StartFraction 3 Over 40 EndFraction + ellipsis
Option A
B
Negative 10 + 4 minus eight-fifths + StartFraction 16 Over 25 EndFraction minus ellipsis
Option B
C
Sigma-Summation Underscript n = 1 Overscript infinity EndScripts two-thirds (negative 4) Superscript n minus 1
Option C
D
Sigma-Summation Underscript n = 1 Overscript infinity EndScripts (negative 12) (one-fifth) Superscript n minus 1
Option D
38

A bungee jumper falls 97.2 feet before bouncing back up at the end of his bungee cord. Then he falls 64.8 feet before bouncing up again. On his third descent, he falls 43.2 feet before going back up. What is the total distance the bungee jumper drops after five falls if the distances continue in this pattern? (Do not include the distance traveled up.)

A
234.0 ft
B
253.2 ft
C
789.8 ft
D
1,281.8 ft

Did you find these answers helpful?

More from this Course

Quiz
28 verified answers

Unit Test

Quiz
15 verified answers

Unit Test

Quiz
15 verified answers

Unit Test