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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
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
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 =
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.
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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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
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
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 =
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.
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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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
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
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 =
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.
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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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
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
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 =
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.
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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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
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
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 =
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.
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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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
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
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 =
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.
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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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
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
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 =
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.
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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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
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
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 =
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.
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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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
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
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 =
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.
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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Que
stion
1
5 points Save
Perform the indicated matrix operations.
Let A = and B = . Find 3A + 4B.
Qu
estio
n 2
5 points Save
Perform the indicated matrix operations.
Let A = and B = . Find 4A + B.
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
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
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')
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
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
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
javascript:saveItem('_10011943_1','9')
javascript:saveItem('_10011943_1','9')
javascript:saveItem('_10011944_1','10')
javascript:saveItem('_10011944_1','10')
javascript:saveItem('_10011945_1','11')
javascript:saveItem('_10011945_1','11')
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
Que
stion
12
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
-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
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')
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
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
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)
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')

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