math homework

 

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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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http://coursesite.umtweb.edu/webapps/assessment/take/launch.jsp?course_assessment_id=_3281_1&course_id=_737_1&step=null

http://coursesite.umtweb.edu/webapps/assessment/take/launch.jsp?course_assessment_id=_3281_1&course_id=_737_1&step=null

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http://coursesite.umtweb.edu/webapps/assessment/take/launch.jsp?course_assessment_id=_3281_1&course_id=_737_1&step=null

http://coursesite.umtweb.edu/webapps/assessment/take/launch.jsp?course_assessment_id=_3281_1&course_id=_737_1&step=null

http://coursesite.umtweb.edu/webapps/assessment/take/launch.jsp?course_assessment_id=_3281_1&course_id=_737_1&step=null

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