Quest
ion 1 5 points
Sav
e
Solve the exponential equation. Express
the solution set in terms of natural
logarithms.
4x+4 = 52x+5
{7 ln 5 - 5 ln 4}
{ln 5 - ln 4}
Que
stion
2
5 points Save
Solve the problem.
A grocery store normally sells 5 jars of caviar
per week. Use the Poisson
Distribution to find the
probability (to three decimals) of selling 3 jars
in a
week.
0.281
0.14
0.421
0.094
Que
stion
3
5 points Save
The graph of a logarithmic function is
shown. Select the function which matches
the graph.
f(x) = log5x
f(x) = log5(x - 1)
f(x) = log5(x + 1)
f(x) = log5x + 1
Que
stion
4
5 points Save
Find the exact value of the logarithmic
expression.
log4
3
-3
-
Que
stion
5
5 points Save
Solve the equation.
3 · 52t - 1 = 75
{3}
Que
stion
6
5 points Save
Solve the problem.
A thermometer reading is brought into a
room with a constant temperature of If
the thermometer reads after 5 minutes,
what will it read after being in the room for 8
minutes? Assume the cooling follows
Newton's Law of Cooling:
U = T + (Uo - T)e
kt.
(Round your answer to two decimal places.)
104.4°F
30.85°F
66.42°F
45.6°F
Que
stion
7
5 points Save
Find the indicated composite for the pair of
functions.
(f g)(x): f(x) = , g(x) = 8x - 7
8
8 - 7
2
2
Que
stion
8
5 points Save
Solve the problem.
Which of the two rates would yield the larger
amount in 1 year: 4.5% compounded
semiannually or 4.4% compounded
quarterly?
4.5% compounded semiannually
4.4% compounded quarterly
They will yield the same amount.
Que
stion
9
5 points Save
Solve the problem.
The function f(x) = 300(0.5)x/60 models the
amount in pounds of a particular radioactive
material stored in a concrete vault, where x is
the number of years since the material was
put into the vault. Find the amount of
radioactive material in the vault
after Round to the nearest whole
number.
425 pounds
42 pounds
235 pounds
53 pounds
Que
stion
10
5 points Save
Solve the equation.
log6 (x
2 - 5x) = 1
{6}
{1}
{6, -1}
{-6, 1}
Que
stion
11
5 points Save
Express y as a function of x. The constant
C is a positive number.
ln y = ln 4x + ln C
y = 4Cx
y = 4x + C
y = (4x)C
y = x + 4C
Que
stion
12
5 points Save
Find the exact value of the logarithmic
expression.
ln l
-1
0
e
1
Que
stion
13
5 points Save
Solve the problem.
The logistic growth function f(t)
= describes the population of
a species of butterflies after they
are introduced to a non-threatening habitat.
How many butterflies are expected in the
habitat after 12 months?
480 butterflies
401 butterflies
244 butterflies
4800 butterflies
Que
stion
14
5 points Save
Express as a single logarithm.
40 log5 + log5(40x
6) - log5 40
log5 x
14/5
log5 x
14
log5 x
13/6
log5 x ...
PSYPACT- Practicing Over State Lines May 2024.pptx
Question 1 5 points Save Solve the exponent.docx
1. Quest
ion 1 5 points
Sav
e
Solve the exponential equation. Express
the solution set in terms of natural
logarithms.
4x+4 = 52x+5
{7 ln 5 - 5 ln 4}
{ln 5 - ln 4}
Que
stion
2
5 points Save
Solve the problem.
A grocery store normally sells 5 jars of caviar
per week. Use the Poisson
2. Distribution to find the
probability (to three decimals) of selling 3 jars
in a
week.
0.281
0.14
0.421
0.094
Que
stion
3
5 points Save
The graph of a logarithmic function is
shown. Select the function which matches
the graph.
f(x) = log5x
f(x) = log5(x - 1)
f(x) = log5(x + 1)
f(x) = log5x + 1
Que
3. stion
4
5 points Save
Find the exact value of the logarithmic
expression.
log4
3
-3
-
Que
stion
5
5 points Save
Solve the equation.
3 · 52t - 1 = 75
{3}
4. Que
stion
6
5 points Save
Solve the problem.
A thermometer reading is brought into a
room with a constant temperature of If
the thermometer reads after 5 minutes,
what will it read after being in the room for 8
minutes? Assume the cooling follows
Newton's Law of Cooling:
U = T + (Uo - T)e
kt.
(Round your answer to two decimal places.)
104.4°F
30.85°F
66.42°F
45.6°F
Que
stion
7
5. 5 points Save
Find the indicated composite for the pair of
functions.
(f g)(x): f(x) = , g(x) = 8x - 7
8
8 - 7
2
2
Que
stion
8
5 points Save
Solve the problem.
Which of the two rates would yield the larger
amount in 1 year: 4.5% compounded
semiannually or 4.4% compounded
quarterly?
6. 4.5% compounded semiannually
4.4% compounded quarterly
They will yield the same amount.
Que
stion
9
5 points Save
Solve the problem.
The function f(x) = 300(0.5)x/60 models the
amount in pounds of a particular radioactive
material stored in a concrete vault, where x is
the number of years since the material was
put into the vault. Find the amount of
radioactive material in the vault
after Round to the nearest whole
number.
425 pounds
42 pounds
235 pounds
53 pounds
Que
stion
10
7. 5 points Save
Solve the equation.
log6 (x
2 - 5x) = 1
{6}
{1}
{6, -1}
{-6, 1}
Que
stion
11
5 points Save
Express y as a function of x. The constant
C is a positive number.
ln y = ln 4x + ln C
y = 4Cx
y = 4x + C
y = (4x)C
y = x + 4C
Que
stion
8. 12
5 points Save
Find the exact value of the logarithmic
expression.
ln l
-1
0
e
1
Que
stion
13
5 points Save
Solve the problem.
The logistic growth function f(t)
= describes the population of
a species of butterflies after they
are introduced to a non-threatening habitat.
How many butterflies are expected in the
habitat after 12 months?
480 butterflies
9. 401 butterflies
244 butterflies
4800 butterflies
Que
stion
14
5 points Save
Express as a single logarithm.
40 log5 + log5(40x
6) - log5 40
log5 x
14/5
log5 x
14
log5 x
13/6
log5 x
11/8
Que
stion
15
10. 5 points Save
Solve the problem.
The function f(x) = 1 + 1.6 ln (x+1) models
the average number of free-throws a
basketball player can make consecutively
during practice as a function of time, where x
is the number of consecutive days the
basketball player has practiced for two
hours. After how many days of practice can
the basketball player make an average of 6
consecutive free throws?
24 days
80 days
22 days
78 days
Que
stion
16
5 points Save
Find the amount that results from the
investment.
$1,000 invested at 9% compounded
annually after a period of 8 years
$1828.04
12. Express as a single logarithm.
(logaq - logar) + 4logap
loga
loga
loga
logaqp
4r
Que
stion
19
5 points Save
Solve the equation.
log2(x + 6) = log8(3x)
{3, 0}
{3}
{9}
13. Que
stion
20
5 points Save
If the following defines a one-to-one
function, find the inverse.
{(6, 6), (12, 7), (10, 8), (8, 9)}
{(7, 6), (9, 10), (6, 10), (7, 8)}
{(7, 6), (6, 10), (6, 12), (7, 8)}
Not a one-to-one function
{(6, 6), (7, 12), (8, 10), (9, 8)}
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17. Sav
e
Solve the exponential equation. Express
the solution set in terms of natural
logarithms.
4x+4 = 52x+5
{7 ln 5 - 5 ln 4}
{ln 5 - ln 4}
Que
stion
2
5 points Save
Solve the problem.
A grocery store normally sells 5 jars of caviar
per week. Use the Poisson
Distribution to find the
probability (to three decimals) of selling 3 jars
in a
week.
18. 0.281
0.14
0.421
0.094
Que
stion
3
5 points Save
The graph of a logarithmic function is
shown. Select the function which matches
the graph.
f(x) = log5x
f(x) = log5(x - 1)
f(x) = log5(x + 1)
f(x) = log5x + 1
Que
stion
4
5 points Save
Find the exact value of the logarithmic
20. Solve the problem.
A thermometer reading is brought into a
room with a constant temperature of If
the thermometer reads after 5 minutes,
what will it read after being in the room for 8
minutes? Assume the cooling follows
Newton's Law of Cooling:
U = T + (Uo - T)e
kt.
(Round your answer to two decimal places.)
104.4°F
30.85°F
66.42°F
45.6°F
Que
stion
7
5 points Save
Find the indicated composite for the pair of
functions.
(f g)(x): f(x) = , g(x) = 8x - 7
21. 8
8 - 7
2
2
Que
stion
8
5 points Save
Solve the problem.
Which of the two rates would yield the larger
amount in 1 year: 4.5% compounded
semiannually or 4.4% compounded
quarterly?
4.5% compounded semiannually
4.4% compounded quarterly
They will yield the same amount.
Que
22. stion
9
5 points Save
Solve the problem.
The function f(x) = 300(0.5)x/60 models the
amount in pounds of a particular radioactive
material stored in a concrete vault, where x is
the number of years since the material was
put into the vault. Find the amount of
radioactive material in the vault
after Round to the nearest whole
number.
425 pounds
42 pounds
235 pounds
53 pounds
Que
stion
10
5 points Save
Solve the equation.
log6 (x
2 - 5x) = 1
23. {6}
{1}
{6, -1}
{-6, 1}
Que
stion
11
5 points Save
Express y as a function of x. The constant
C is a positive number.
ln y = ln 4x + ln C
y = 4Cx
y = 4x + C
y = (4x)C
y = x + 4C
Que
stion
12
5 points Save
Find the exact value of the logarithmic
expression.
24. ln l
-1
0
e
1
Que
stion
13
5 points Save
Solve the problem.
The logistic growth function f(t)
= describes the population of
a species of butterflies after they
are introduced to a non-threatening habitat.
How many butterflies are expected in the
habitat after 12 months?
480 butterflies
401 butterflies
244 butterflies
4800 butterflies
Que
25. stion
14
5 points Save
Express as a single logarithm.
40 log5 + log5(40x
6) - log5 40
log5 x
14/5
log5 x
14
log5 x
13/6
log5 x
11/8
Que
stion
15
5 points Save
Solve the problem.
The function f(x) = 1 + 1.6 ln (x+1) models
the average number of free-throws a
26. basketball player can make consecutively
during practice as a function of time, where x
is the number of consecutive days the
basketball player has practiced for two
hours. After how many days of practice can
the basketball player make an average of 6
consecutive free throws?
24 days
80 days
22 days
78 days
Que
stion
16
5 points Save
Find the amount that results from the
investment.
$1,000 invested at 9% compounded
annually after a period of 8 years
$1828.04
$1992.56
$2171.89
$992.56
Que
27. stion
17
5 points Save
Change the logarithmic expression to an
equivalent expression involving an
exponent.
log5 = -2
2 = 5
5-2 =
525 = 2
25 =
Que
stion
18
5 points Save
Express as a single logarithm.
(logaq - logar) + 4logap
loga
29. If the following defines a one-to-one
function, find the inverse.
{(6, 6), (12, 7), (10, 8), (8, 9)}
{(7, 6), (9, 10), (6, 10), (7, 8)}
{(7, 6), (6, 10), (6, 12), (7, 8)}
Not a one-to-one function
{(6, 6), (7, 12), (8, 10), (9, 8)}
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33. logarithms.
4x+4 = 52x+5
{7 ln 5 - 5 ln 4}
{ln 5 - ln 4}
Que
stion
2
5 points Save
Solve the problem.
A grocery store normally sells 5 jars of caviar
per week. Use the Poisson
Distribution to find the
probability (to three decimals) of selling 3 jars
in a
week.
0.281
0.14
0.421
0.094
Que
34. stion
3
5 points Save
The graph of a logarithmic function is
shown. Select the function which matches
the graph.
f(x) = log5x
f(x) = log5(x - 1)
f(x) = log5(x + 1)
f(x) = log5x + 1
Que
stion
4
5 points Save
Find the exact value of the logarithmic
expression.
log4
3
35. -3
-
Que
stion
5
5 points Save
Solve the equation.
3 · 52t - 1 = 75
{3}
Que
stion
6
5 points Save
Solve the problem.
A thermometer reading is brought into a
room with a constant temperature of If
36. the thermometer reads after 5 minutes,
what will it read after being in the room for 8
minutes? Assume the cooling follows
Newton's Law of Cooling:
U = T + (Uo - T)e
kt.
(Round your answer to two decimal places.)
104.4°F
30.85°F
66.42°F
45.6°F
Que
stion
7
5 points Save
Find the indicated composite for the pair of
functions.
(f g)(x): f(x) = , g(x) = 8x - 7
8
8 - 7
37. 2
2
Que
stion
8
5 points Save
Solve the problem.
Which of the two rates would yield the larger
amount in 1 year: 4.5% compounded
semiannually or 4.4% compounded
quarterly?
4.5% compounded semiannually
4.4% compounded quarterly
They will yield the same amount.
Que
stion
9
5 points Save
Solve the problem.
38. The function f(x) = 300(0.5)x/60 models the
amount in pounds of a particular radioactive
material stored in a concrete vault, where x is
the number of years since the material was
put into the vault. Find the amount of
radioactive material in the vault
after Round to the nearest whole
number.
425 pounds
42 pounds
235 pounds
53 pounds
Que
stion
10
5 points Save
Solve the equation.
log6 (x
2 - 5x) = 1
{6}
{1}
{6, -1}
{-6, 1}
39. Que
stion
11
5 points Save
Express y as a function of x. The constant
C is a positive number.
ln y = ln 4x + ln C
y = 4Cx
y = 4x + C
y = (4x)C
y = x + 4C
Que
stion
12
5 points Save
Find the exact value of the logarithmic
expression.
ln l
-1
0
e
1
40. Que
stion
13
5 points Save
Solve the problem.
The logistic growth function f(t)
= describes the population of
a species of butterflies after they
are introduced to a non-threatening habitat.
How many butterflies are expected in the
habitat after 12 months?
480 butterflies
401 butterflies
244 butterflies
4800 butterflies
Que
stion
14
5 points Save
Express as a single logarithm.
41. 40 log5 + log5(40x
6) - log5 40
log5 x
14/5
log5 x
14
log5 x
13/6
log5 x
11/8
Que
stion
15
5 points Save
Solve the problem.
The function f(x) = 1 + 1.6 ln (x+1) models
the average number of free-throws a
basketball player can make consecutively
during practice as a function of time, where x
is the number of consecutive days the
basketball player has practiced for two
hours. After how many days of practice can
the basketball player make an average of 6
consecutive free throws?
42. 24 days
80 days
22 days
78 days
Que
stion
16
5 points Save
Find the amount that results from the
investment.
$1,000 invested at 9% compounded
annually after a period of 8 years
$1828.04
$1992.56
$2171.89
$992.56
Que
stion
17
5 points Save
Change the logarithmic expression to an
43. equivalent expression involving an
exponent.
log5 = -2
2 = 5
5-2 =
525 = 2
25 =
Que
stion
18
5 points Save
Express as a single logarithm.
(logaq - logar) + 4logap
loga
loga
loga
logaqp
44. 4r
Que
stion
19
5 points Save
Solve the equation.
log2(x + 6) = log8(3x)
{3, 0}
{3}
{9}
Que
stion
20
5 points Save
If the following defines a one-to-one
function, find the inverse.
{(6, 6), (12, 7), (10, 8), (8, 9)}
45. {(7, 6), (9, 10), (6, 10), (7, 8)}
{(7, 6), (6, 10), (6, 12), (7, 8)}
Not a one-to-one function
{(6, 6), (7, 12), (8, 10), (9, 8)}
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49. {ln 5 - ln 4}
Que
stion
2
5 points Save
Solve the problem.
A grocery store normally sells 5 jars of caviar
per week. Use the Poisson
Distribution to find the
probability (to three decimals) of selling 3 jars
in a
week.
0.281
0.14
0.421
0.094
Que
stion
3
5 points Save
50. The graph of a logarithmic function is
shown. Select the function which matches
the graph.
f(x) = log5x
f(x) = log5(x - 1)
f(x) = log5(x + 1)
f(x) = log5x + 1
Que
stion
4
5 points Save
Find the exact value of the logarithmic
expression.
log4
3
-3
-
Que
51. stion
5
5 points Save
Solve the equation.
3 · 52t - 1 = 75
{3}
Que
stion
6
5 points Save
Solve the problem.
A thermometer reading is brought into a
room with a constant temperature of If
the thermometer reads after 5 minutes,
what will it read after being in the room for 8
minutes? Assume the cooling follows
Newton's Law of Cooling:
U = T + (Uo - T)e
52. kt.
(Round your answer to two decimal places.)
104.4°F
30.85°F
66.42°F
45.6°F
Que
stion
7
5 points Save
Find the indicated composite for the pair of
functions.
(f g)(x): f(x) = , g(x) = 8x - 7
8
8 - 7
2
2
53. Que
stion
8
5 points Save
Solve the problem.
Which of the two rates would yield the larger
amount in 1 year: 4.5% compounded
semiannually or 4.4% compounded
quarterly?
4.5% compounded semiannually
4.4% compounded quarterly
They will yield the same amount.
Que
stion
9
5 points Save
Solve the problem.
The function f(x) = 300(0.5)x/60 models the
amount in pounds of a particular radioactive
material stored in a concrete vault, where x is
the number of years since the material was
put into the vault. Find the amount of
radioactive material in the vault
54. after Round to the nearest whole
number.
425 pounds
42 pounds
235 pounds
53 pounds
Que
stion
10
5 points Save
Solve the equation.
log6 (x
2 - 5x) = 1
{6}
{1}
{6, -1}
{-6, 1}
Que
stion
11
5 points Save
55. Express y as a function of x. The constant
C is a positive number.
ln y = ln 4x + ln C
y = 4Cx
y = 4x + C
y = (4x)C
y = x + 4C
Que
stion
12
5 points Save
Find the exact value of the logarithmic
expression.
ln l
-1
0
e
1
Que
stion
13
56. 5 points Save
Solve the problem.
The logistic growth function f(t)
= describes the population of
a species of butterflies after they
are introduced to a non-threatening habitat.
How many butterflies are expected in the
habitat after 12 months?
480 butterflies
401 butterflies
244 butterflies
4800 butterflies
Que
stion
14
5 points Save
Express as a single logarithm.
40 log5 + log5(40x
6) - log5 40
log5 x
14/5
57. log5 x
14
log5 x
13/6
log5 x
11/8
Que
stion
15
5 points Save
Solve the problem.
The function f(x) = 1 + 1.6 ln (x+1) models
the average number of free-throws a
basketball player can make consecutively
during practice as a function of time, where x
is the number of consecutive days the
basketball player has practiced for two
hours. After how many days of practice can
the basketball player make an average of 6
consecutive free throws?
24 days
80 days
22 days
78 days
58. Que
stion
16
5 points Save
Find the amount that results from the
investment.
$1,000 invested at 9% compounded
annually after a period of 8 years
$1828.04
$1992.56
$2171.89
$992.56
Que
stion
17
5 points Save
Change the logarithmic expression to an
equivalent expression involving an
exponent.
log5 = -2
2 = 5
59. 5-2 =
525 = 2
25 =
Que
stion
18
5 points Save
Express as a single logarithm.
(logaq - logar) + 4logap
loga
loga
loga
logaqp
4r
Que
stion
60. 19
5 points Save
Solve the equation.
log2(x + 6) = log8(3x)
{3, 0}
{3}
{9}
Que
stion
20
5 points Save
If the following defines a one-to-one
function, find the inverse.
{(6, 6), (12, 7), (10, 8), (8, 9)}
{(7, 6), (9, 10), (6, 10), (7, 8)}
{(7, 6), (6, 10), (6, 12), (7, 8)}
Not a one-to-one function
{(6, 6), (7, 12), (8, 10), (9, 8)}
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65. 5 points Save
Solve the problem.
A grocery store normally sells 5 jars of caviar
per week. Use the Poisson
Distribution to find the
probability (to three decimals) of selling 3 jars
in a
week.
0.281
0.14
0.421
0.094
Que
stion
3
5 points Save
The graph of a logarithmic function is
shown. Select the function which matches
the graph.
f(x) = log5x
f(x) = log5(x - 1)
66. f(x) = log5(x + 1)
f(x) = log5x + 1
Que
stion
4
5 points Save
Find the exact value of the logarithmic
expression.
log4
3
-3
-
Que
stion
5
5 points Save
Solve the equation.
67. 3 · 52t - 1 = 75
{3}
Que
stion
6
5 points Save
Solve the problem.
A thermometer reading is brought into a
room with a constant temperature of If
the thermometer reads after 5 minutes,
what will it read after being in the room for 8
minutes? Assume the cooling follows
Newton's Law of Cooling:
U = T + (Uo - T)e
kt.
(Round your answer to two decimal places.)
104.4°F
30.85°F
66.42°F
68. 45.6°F
Que
stion
7
5 points Save
Find the indicated composite for the pair of
functions.
(f g)(x): f(x) = , g(x) = 8x - 7
8
8 - 7
2
2
Que
stion
8
5 points Save
69. Solve the problem.
Which of the two rates would yield the larger
amount in 1 year: 4.5% compounded
semiannually or 4.4% compounded
quarterly?
4.5% compounded semiannually
4.4% compounded quarterly
They will yield the same amount.
Que
stion
9
5 points Save
Solve the problem.
The function f(x) = 300(0.5)x/60 models the
amount in pounds of a particular radioactive
material stored in a concrete vault, where x is
the number of years since the material was
put into the vault. Find the amount of
radioactive material in the vault
after Round to the nearest whole
number.
425 pounds
42 pounds
235 pounds
70. 53 pounds
Que
stion
10
5 points Save
Solve the equation.
log6 (x
2 - 5x) = 1
{6}
{1}
{6, -1}
{-6, 1}
Que
stion
11
5 points Save
Express y as a function of x. The constant
C is a positive number.
ln y = ln 4x + ln C
y = 4Cx
71. y = 4x + C
y = (4x)C
y = x + 4C
Que
stion
12
5 points Save
Find the exact value of the logarithmic
expression.
ln l
-1
0
e
1
Que
stion
13
5 points Save
Solve the problem.
The logistic growth function f(t)
72. = describes the population of
a species of butterflies after they
are introduced to a non-threatening habitat.
How many butterflies are expected in the
habitat after 12 months?
480 butterflies
401 butterflies
244 butterflies
4800 butterflies
Que
stion
14
5 points Save
Express as a single logarithm.
40 log5 + log5(40x
6) - log5 40
log5 x
14/5
log5 x
14
log5 x
13/6
log5 x
73. 11/8
Que
stion
15
5 points Save
Solve the problem.
The function f(x) = 1 + 1.6 ln (x+1) models
the average number of free-throws a
basketball player can make consecutively
during practice as a function of time, where x
is the number of consecutive days the
basketball player has practiced for two
hours. After how many days of practice can
the basketball player make an average of 6
consecutive free throws?
24 days
80 days
22 days
78 days
Que
stion
16
5 points Save
74. Find the amount that results from the
investment.
$1,000 invested at 9% compounded
annually after a period of 8 years
$1828.04
$1992.56
$2171.89
$992.56
Que
stion
17
5 points Save
Change the logarithmic expression to an
equivalent expression involving an
exponent.
log5 = -2
2 = 5
5-2 =
525 = 2
25 =
75. Que
stion
18
5 points Save
Express as a single logarithm.
(logaq - logar) + 4logap
loga
loga
loga
logaqp
4r
Que
stion
19
5 points Save
Solve the equation.
76. log2(x + 6) = log8(3x)
{3, 0}
{3}
{9}
Que
stion
20
5 points Save
If the following defines a one-to-one
function, find the inverse.
{(6, 6), (12, 7), (10, 8), (8, 9)}
{(7, 6), (9, 10), (6, 10), (7, 8)}
{(7, 6), (6, 10), (6, 12), (7, 8)}
Not a one-to-one function
{(6, 6), (7, 12), (8, 10), (9, 8)}
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p?course_assessment_id=_3281_1&course_id=_737_1&step=nul
l
81. per week. Use the Poisson
Distribution to find the
probability (to three decimals) of selling 3 jars
in a
week.
0.281
0.14
0.421
0.094
Que
stion
3
5 points Save
The graph of a logarithmic function is
shown. Select the function which matches
the graph.
f(x) = log5x
f(x) = log5(x - 1)
f(x) = log5(x + 1)
f(x) = log5x + 1
Que
82. stion
4
5 points Save
Find the exact value of the logarithmic
expression.
log4
3
-3
-
Que
stion
5
5 points Save
Solve the equation.
3 · 52t - 1 = 75
{3}
83. Que
stion
6
5 points Save
Solve the problem.
A thermometer reading is brought into a
room with a constant temperature of If
the thermometer reads after 5 minutes,
what will it read after being in the room for 8
minutes? Assume the cooling follows
Newton's Law of Cooling:
U = T + (Uo - T)e
kt.
(Round your answer to two decimal places.)
104.4°F
30.85°F
66.42°F
45.6°F
Que
stion
7
84. 5 points Save
Find the indicated composite for the pair of
functions.
(f g)(x): f(x) = , g(x) = 8x - 7
8
8 - 7
2
2
Que
stion
8
5 points Save
Solve the problem.
Which of the two rates would yield the larger
amount in 1 year: 4.5% compounded
semiannually or 4.4% compounded
quarterly?
85. 4.5% compounded semiannually
4.4% compounded quarterly
They will yield the same amount.
Que
stion
9
5 points Save
Solve the problem.
The function f(x) = 300(0.5)x/60 models the
amount in pounds of a particular radioactive
material stored in a concrete vault, where x is
the number of years since the material was
put into the vault. Find the amount of
radioactive material in the vault
after Round to the nearest whole
number.
425 pounds
42 pounds
235 pounds
53 pounds
Que
stion
10
86. 5 points Save
Solve the equation.
log6 (x
2 - 5x) = 1
{6}
{1}
{6, -1}
{-6, 1}
Que
stion
11
5 points Save
Express y as a function of x. The constant
C is a positive number.
ln y = ln 4x + ln C
y = 4Cx
y = 4x + C
y = (4x)C
y = x + 4C
Que
87. stion
12
5 points Save
Find the exact value of the logarithmic
expression.
ln l
-1
0
e
1
Que
stion
13
5 points Save
Solve the problem.
The logistic growth function f(t)
= describes the population of
a species of butterflies after they
are introduced to a non-threatening habitat.
How many butterflies are expected in the
habitat after 12 months?
88. 480 butterflies
401 butterflies
244 butterflies
4800 butterflies
Que
stion
14
5 points Save
Express as a single logarithm.
40 log5 + log5(40x
6) - log5 40
log5 x
14/5
log5 x
14
log5 x
13/6
log5 x
11/8
Que
stion
15
89. 5 points Save
Solve the problem.
The function f(x) = 1 + 1.6 ln (x+1) models
the average number of free-throws a
basketball player can make consecutively
during practice as a function of time, where x
is the number of consecutive days the
basketball player has practiced for two
hours. After how many days of practice can
the basketball player make an average of 6
consecutive free throws?
24 days
80 days
22 days
78 days
Que
stion
16
5 points Save
Find the amount that results from the
investment.
$1,000 invested at 9% compounded
annually after a period of 8 years
91. Express as a single logarithm.
(logaq - logar) + 4logap
loga
loga
loga
logaqp
4r
Que
stion
19
5 points Save
Solve the equation.
log2(x + 6) = log8(3x)
{3, 0}
{3}
{9}
92. Que
stion
20
5 points Save
If the following defines a one-to-one
function, find the inverse.
{(6, 6), (12, 7), (10, 8), (8, 9)}
{(7, 6), (9, 10), (6, 10), (7, 8)}
{(7, 6), (6, 10), (6, 12), (7, 8)}
Not a one-to-one function
{(6, 6), (7, 12), (8, 10), (9, 8)}
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http://coursesite.umtweb.edu/webapps/assessment/take/launch.js
96. ion 1 5 points
Sav
e
Solve the exponential equation. Express
the solution set in terms of natural
logarithms.
4x+4 = 52x+5
{7 ln 5 - 5 ln 4}
{ln 5 - ln 4}
Que
stion
2
5 points Save
Solve the problem.
A grocery store normally sells 5 jars of caviar
per week. Use the Poisson
Distribution to find the
probability (to three decimals) of selling 3 jars
in a
week.
97. 0.281
0.14
0.421
0.094
Que
stion
3
5 points Save
The graph of a logarithmic function is
shown. Select the function which matches
the graph.
f(x) = log5x
f(x) = log5(x - 1)
f(x) = log5(x + 1)
f(x) = log5x + 1
Que
stion
4
5 points Save
98. Find the exact value of the logarithmic
expression.
log4
3
-3
-
Que
stion
5
5 points Save
Solve the equation.
3 · 52t - 1 = 75
{3}
Que
stion
6
99. 5 points Save
Solve the problem.
A thermometer reading is brought into a
room with a constant temperature of If
the thermometer reads after 5 minutes,
what will it read after being in the room for 8
minutes? Assume the cooling follows
Newton's Law of Cooling:
U = T + (Uo - T)e
kt.
(Round your answer to two decimal places.)
104.4°F
30.85°F
66.42°F
45.6°F
Que
stion
7
5 points Save
Find the indicated composite for the pair of
functions.
100. (f g)(x): f(x) = , g(x) = 8x - 7
8
8 - 7
2
2
Que
stion
8
5 points Save
Solve the problem.
Which of the two rates would yield the larger
amount in 1 year: 4.5% compounded
semiannually or 4.4% compounded
quarterly?
4.5% compounded semiannually
4.4% compounded quarterly
They will yield the same amount.
Que
101. stion
9
5 points Save
Solve the problem.
The function f(x) = 300(0.5)x/60 models the
amount in pounds of a particular radioactive
material stored in a concrete vault, where x is
the number of years since the material was
put into the vault. Find the amount of
radioactive material in the vault
after Round to the nearest whole
number.
425 pounds
42 pounds
235 pounds
53 pounds
Que
stion
10
5 points Save
Solve the equation.
log6 (x
102. 2 - 5x) = 1
{6}
{1}
{6, -1}
{-6, 1}
Que
stion
11
5 points Save
Express y as a function of x. The constant
C is a positive number.
ln y = ln 4x + ln C
y = 4Cx
y = 4x + C
y = (4x)C
y = x + 4C
Que
stion
12
5 points Save
Find the exact value of the logarithmic
103. expression.
ln l
-1
0
e
1
Que
stion
13
5 points Save
Solve the problem.
The logistic growth function f(t)
= describes the population of
a species of butterflies after they
are introduced to a non-threatening habitat.
How many butterflies are expected in the
habitat after 12 months?
480 butterflies
401 butterflies
244 butterflies
4800 butterflies
Que
104. stion
14
5 points Save
Express as a single logarithm.
40 log5 + log5(40x
6) - log5 40
log5 x
14/5
log5 x
14
log5 x
13/6
log5 x
11/8
Que
stion
15
5 points Save
Solve the problem.
The function f(x) = 1 + 1.6 ln (x+1) models
105. the average number of free-throws a
basketball player can make consecutively
during practice as a function of time, where x
is the number of consecutive days the
basketball player has practiced for two
hours. After how many days of practice can
the basketball player make an average of 6
consecutive free throws?
24 days
80 days
22 days
78 days
Que
stion
16
5 points Save
Find the amount that results from the
investment.
$1,000 invested at 9% compounded
annually after a period of 8 years
$1828.04
$1992.56
$2171.89
$992.56
Que
106. stion
17
5 points Save
Change the logarithmic expression to an
equivalent expression involving an
exponent.
log5 = -2
2 = 5
5-2 =
525 = 2
25 =
Que
stion
18
5 points Save
Express as a single logarithm.
(logaq - logar) + 4logap
108. 5 points Save
If the following defines a one-to-one
function, find the inverse.
{(6, 6), (12, 7), (10, 8), (8, 9)}
{(7, 6), (9, 10), (6, 10), (7, 8)}
{(7, 6), (6, 10), (6, 12), (7, 8)}
Not a one-to-one function
{(6, 6), (7, 12), (8, 10), (9, 8)}
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http://coursesite.umtweb.edu/webapps/assessment/take/launch.js
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http://coursesite.umtweb.edu/webapps/assessment/take/launch.js
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112. the solution set in terms of natural
logarithms.
4x+4 = 52x+5
{7 ln 5 - 5 ln 4}
{ln 5 - ln 4}
Que
stion
2
5 points Save
Solve the problem.
A grocery store normally sells 5 jars of caviar
per week. Use the Poisson
Distribution to find the
probability (to three decimals) of selling 3 jars
in a
week.
0.281
0.14
0.421
0.094
113. Que
stion
3
5 points Save
The graph of a logarithmic function is
shown. Select the function which matches
the graph.
f(x) = log5x
f(x) = log5(x - 1)
f(x) = log5(x + 1)
f(x) = log5x + 1
Que
stion
4
5 points Save
Find the exact value of the logarithmic
expression.
log4
3
114. -3
-
Que
stion
5
5 points Save
Solve the equation.
3 · 52t - 1 = 75
{3}
Que
stion
6
5 points Save
Solve the problem.
A thermometer reading is brought into a
115. room with a constant temperature of If
the thermometer reads after 5 minutes,
what will it read after being in the room for 8
minutes? Assume the cooling follows
Newton's Law of Cooling:
U = T + (Uo - T)e
kt.
(Round your answer to two decimal places.)
104.4°F
30.85°F
66.42°F
45.6°F
Que
stion
7
5 points Save
Find the indicated composite for the pair of
functions.
(f g)(x): f(x) = , g(x) = 8x - 7
8
8 - 7
116. 2
2
Que
stion
8
5 points Save
Solve the problem.
Which of the two rates would yield the larger
amount in 1 year: 4.5% compounded
semiannually or 4.4% compounded
quarterly?
4.5% compounded semiannually
4.4% compounded quarterly
They will yield the same amount.
Que
stion
9
5 points Save
117. Solve the problem.
The function f(x) = 300(0.5)x/60 models the
amount in pounds of a particular radioactive
material stored in a concrete vault, where x is
the number of years since the material was
put into the vault. Find the amount of
radioactive material in the vault
after Round to the nearest whole
number.
425 pounds
42 pounds
235 pounds
53 pounds
Que
stion
10
5 points Save
Solve the equation.
log6 (x
2 - 5x) = 1
{6}
{1}
{6, -1}
{-6, 1}
118. Que
stion
11
5 points Save
Express y as a function of x. The constant
C is a positive number.
ln y = ln 4x + ln C
y = 4Cx
y = 4x + C
y = (4x)C
y = x + 4C
Que
stion
12
5 points Save
Find the exact value of the logarithmic
expression.
ln l
-1
0
e
119. 1
Que
stion
13
5 points Save
Solve the problem.
The logistic growth function f(t)
= describes the population of
a species of butterflies after they
are introduced to a non-threatening habitat.
How many butterflies are expected in the
habitat after 12 months?
480 butterflies
401 butterflies
244 butterflies
4800 butterflies
Que
stion
14
5 points Save
120. Express as a single logarithm.
40 log5 + log5(40x
6) - log5 40
log5 x
14/5
log5 x
14
log5 x
13/6
log5 x
11/8
Que
stion
15
5 points Save
Solve the problem.
The function f(x) = 1 + 1.6 ln (x+1) models
the average number of free-throws a
basketball player can make consecutively
during practice as a function of time, where x
is the number of consecutive days the
basketball player has practiced for two
hours. After how many days of practice can
the basketball player make an average of 6
121. consecutive free throws?
24 days
80 days
22 days
78 days
Que
stion
16
5 points Save
Find the amount that results from the
investment.
$1,000 invested at 9% compounded
annually after a period of 8 years
$1828.04
$1992.56
$2171.89
$992.56
Que
stion
17
5 points Save
122. Change the logarithmic expression to an
equivalent expression involving an
exponent.
log5 = -2
2 = 5
5-2 =
525 = 2
25 =
Que
stion
18
5 points Save
Express as a single logarithm.
(logaq - logar) + 4logap
loga
loga
loga
123. logaqp
4r
Que
stion
19
5 points Save
Solve the equation.
log2(x + 6) = log8(3x)
{3, 0}
{3}
{9}
Que
stion
20
5 points Save
If the following defines a one-to-one
function, find the inverse.
{(6, 6), (12, 7), (10, 8), (8, 9)}
124. {(7, 6), (9, 10), (6, 10), (7, 8)}
{(7, 6), (6, 10), (6, 12), (7, 8)}
Not a one-to-one function
{(6, 6), (7, 12), (8, 10), (9, 8)}
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http://coursesite.umtweb.edu/webapps/assessment/take/launch.js
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128. {ln 5 - ln 4}
Que
stion
2
5 points Save
Solve the problem.
A grocery store normally sells 5 jars of caviar
per week. Use the Poisson
Distribution to find the
probability (to three decimals) of selling 3 jars
in a
week.
0.281
0.14
0.421
0.094
Que
stion
3
5 points Save
129. The graph of a logarithmic function is
shown. Select the function which matches
the graph.
f(x) = log5x
f(x) = log5(x - 1)
f(x) = log5(x + 1)
f(x) = log5x + 1
Que
stion
4
5 points Save
Find the exact value of the logarithmic
expression.
log4
3
-3
-
130. Que
stion
5
5 points Save
Solve the equation.
3 · 52t - 1 = 75
{3}
Que
stion
6
5 points Save
Solve the problem.
A thermometer reading is brought into a
room with a constant temperature of If
the thermometer reads after 5 minutes,
what will it read after being in the room for 8
minutes? Assume the cooling follows
Newton's Law of Cooling:
131. U = T + (Uo - T)e
kt.
(Round your answer to two decimal places.)
104.4°F
30.85°F
66.42°F
45.6°F
Que
stion
7
5 points Save
Find the indicated composite for the pair of
functions.
(f g)(x): f(x) = , g(x) = 8x - 7
8
8 - 7
2
2
132. Que
stion
8
5 points Save
Solve the problem.
Which of the two rates would yield the larger
amount in 1 year: 4.5% compounded
semiannually or 4.4% compounded
quarterly?
4.5% compounded semiannually
4.4% compounded quarterly
They will yield the same amount.
Que
stion
9
5 points Save
Solve the problem.
The function f(x) = 300(0.5)x/60 models the
amount in pounds of a particular radioactive
material stored in a concrete vault, where x is
the number of years since the material was
put into the vault. Find the amount of
133. radioactive material in the vault
after Round to the nearest whole
number.
425 pounds
42 pounds
235 pounds
53 pounds
Que
stion
10
5 points Save
Solve the equation.
log6 (x
2 - 5x) = 1
{6}
{1}
{6, -1}
{-6, 1}
Que
stion
11
5 points Save
134. Express y as a function of x. The constant
C is a positive number.
ln y = ln 4x + ln C
y = 4Cx
y = 4x + C
y = (4x)C
y = x + 4C
Que
stion
12
5 points Save
Find the exact value of the logarithmic
expression.
ln l
-1
0
e
1
Que
stion
13
135. 5 points Save
Solve the problem.
The logistic growth function f(t)
= describes the population of
a species of butterflies after they
are introduced to a non-threatening habitat.
How many butterflies are expected in the
habitat after 12 months?
480 butterflies
401 butterflies
244 butterflies
4800 butterflies
Que
stion
14
5 points Save
Express as a single logarithm.
40 log5 + log5(40x
6) - log5 40
log5 x
14/5
136. log5 x
14
log5 x
13/6
log5 x
11/8
Que
stion
15
5 points Save
Solve the problem.
The function f(x) = 1 + 1.6 ln (x+1) models
the average number of free-throws a
basketball player can make consecutively
during practice as a function of time, where x
is the number of consecutive days the
basketball player has practiced for two
hours. After how many days of practice can
the basketball player make an average of 6
consecutive free throws?
24 days
80 days
22 days
78 days
137. Que
stion
16
5 points Save
Find the amount that results from the
investment.
$1,000 invested at 9% compounded
annually after a period of 8 years
$1828.04
$1992.56
$2171.89
$992.56
Que
stion
17
5 points Save
Change the logarithmic expression to an
equivalent expression involving an
exponent.
log5 = -2
138. 2 = 5
5-2 =
525 = 2
25 =
Que
stion
18
5 points Save
Express as a single logarithm.
(logaq - logar) + 4logap
loga
loga
loga
logaqp
4r
Que
139. stion
19
5 points Save
Solve the equation.
log2(x + 6) = log8(3x)
{3, 0}
{3}
{9}
Que
stion
20
5 points Save
If the following defines a one-to-one
function, find the inverse.
{(6, 6), (12, 7), (10, 8), (8, 9)}
{(7, 6), (9, 10), (6, 10), (7, 8)}
{(7, 6), (6, 10), (6, 12), (7, 8)}
Not a one-to-one function
{(6, 6), (7, 12), (8, 10), (9, 8)}
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144. Qu
estio
n 3
5 points Save
Find the inverse of the matrix.
No inverse
javascript:saveItem('_10011935_1','1')
javascript:saveItem('_10011935_1','1')
javascript:saveItem('_10011936_1','2')
javascript:saveItem('_10011936_1','2')
javascript:saveItem('_10011937_1','3')
javascript:saveItem('_10011937_1','3')
Qu
estio
n 3
5 points Save
Find the inverse of the matrix.
No inverse
Qu
estio
145. n 4
5 points Save
Solve the system of equations.
inconsistent (no solution)
x = 4, y = 0, z = 5
x = 4, y = 5, z = 0
x = 0, y = 5, z = 4
javascript:saveItem('_10011937_1','3')
javascript:saveItem('_10011937_1','3')
javascript:saveItem('_10011938_1','4')
javascript:saveItem('_10011938_1','4')
Qu
estio
n 5
5 points Save
Solve the system.
inconsistent (no solution)
y = -4x + 7, where x is any real number
x = -4y + 7, where y is any real number
y = 4x + 7, where x is any real number
Qu
estio
146. n 6
5 points Save
Use Cramer's rule to solve the linear system.
x = 6, y = 0, z = 8
x = 5, y = -2, z = -8
x = 5, y = 2, z = 8
x = 2, y = 8, z = 2
Qu
estio
n 7
5 points Save
Find the maximum or minimum value of the objective function,
subject to the constraints graphed in this feasible region.
z = x + 6y + 9 Find minimum.
Minimum 25
Minimum 31
No Minimum
Minimum 41
javascript:saveItem('_10011939_1','5')
javascript:saveItem('_10011939_1','5')
javascript:saveItem('_10011940_1','6')
javascript:saveItem('_10011940_1','6')
javascript:saveItem('_10011941_1','7')
javascript:saveItem('_10011941_1','7')
147. Qu
estio
n 7
5 points Save
Find the maximum or minimum value of the objective function,
subject to the constraints graphed in this feasible region.
z = x + 6y + 9 Find minimum.
Minimum 25
Minimum 31
No Minimum
Minimum 41
Qu
estio
n 8
5 points Save
Find the value of the determinant.
-58
42
390
-42
148. Qu
estio
n 9
5 points Save
Solve the system of equations.
x = 0, y = 3, z = 0
inconsistent (no solution)
x = 0, y = 0, z = 3
x = 2, y = 3, z = 0
javascript:saveItem('_10011941_1','7')
javascript:saveItem('_10011941_1','7')
javascript:saveItem('_10011942_1','8')
javascript:saveItem('_10011942_1','8')
javascript:saveItem('_10011943_1','9')
javascript:saveItem('_10011943_1','9')
Qu
estio
n 9
5 points Save
Solve the system of equations.
x = 0, y = 3, z = 0
inconsistent (no solution)
x = 0, y = 0, z = 3
x = 2, y = 3, z = 0
149. Que
stion
10
5 points Save
Perform the indicated operations and simplify.
Let A = , B = , and C = . Find AB +
BC.
Que
stion
11
5 points Save
Solve the problem.
Rob bought 2 pairs of shorts, 3 shirts and a pair of shoes for
$146.64.
Jessie bought 3 pairs of shorts, 5 shirts and 2 pairs of shoes for
$256.35. Allen bought a pair of shorts and 4 shirts for $104.07.
What
is the price of a pair of shorts? Express answer rounded to two
decimal places.
$14.55
$50.40
$22.38
$10.30
151. 5 points Save
Write the partial fraction decomposition of the rational
expression.
+
+
+
+
javascript:saveItem('_10011945_1','11')
javascript:saveItem('_10011945_1','11')
javascript:saveItem('_10011946_1','12')
javascript:saveItem('_10011946_1','12')
Que
stion
13
5 points Save
Solve the problem.
Given that = 3, find the value of the determinant
.
0
152. -9
6
9
Que
stion
14
5 points Save
Write the partial fraction decomposition of the rational
expression.
- -
- +
+ -
+ +
javascript:saveItem('_10011947_1','13')
javascript:saveItem('_10011947_1','13')
javascript:saveItem('_10011948_1','14')
javascript:saveItem('_10011948_1','14')
Que
stion
14
5 points Save
153. Write the partial fraction decomposition of the rational
expression.
- -
- +
+ -
+ +
Que
stion
15
5 points Save
Write the partial fraction decomposition of the rational
expression.
+
+
+ +
+ +
javascript:saveItem('_10011948_1','14')
javascript:saveItem('_10011948_1','14')
javascript:saveItem('_10011949_1','15')
javascript:saveItem('_10011949_1','15')
154. Que
stion
16
5 points Save
Graph the inequality.
x + y < -2
javascript:saveItem('_10011950_1','16')
javascript:saveItem('_10011950_1','16')
Que
stion
16
5 points Save
Graph the inequality.
x + y < -2
Que
stion
17
5 points Save
155. Perform the matrix multiplication.
javascript:saveItem('_10011950_1','16')
javascript:saveItem('_10011950_1','16')
javascript:saveItem('_10011951_1','17')
javascript:saveItem('_10011951_1','17')
Que
stion
17
5 points Save
Perform the matrix multiplication.
Que
stion
18
5 points Save
Solve the system using the inverse method.
x = 5, y = -2, z = 2
x = -5, y = -2, z = -2
x = 5, y = 2, z = -2
x = 2, y = 5, z = 2
Que
156. stion
19
5 points Save
Solve the system.
dependent (many solutions)
(2, 4)
(2, 3)
inconsistent (no solution)
javascript:saveItem('_10011951_1','17')
javascript:saveItem('_10011951_1','17')
javascript:saveItem('_10011952_1','18')
javascript:saveItem('_10011952_1','18')
javascript:saveItem('_10011953_1','19')
javascript:saveItem('_10011953_1','19')
Que
stion
19
5 points Save
Solve the system.
dependent (many solutions)
(2, 4)
(2, 3)
inconsistent (no solution)
157. Que
stion
20
5 points Save
Perform the indicated operation, whenever possible.
+
javascript:saveItem('_10011953_1','19')
javascript:saveItem('_10011953_1','19')
javascript:saveItem('_10011954_1','20')
javascript:saveItem('_10011954_1','20')