math homework
danels2
math_4.pdf
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)}
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)}
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)}
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)}
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)}
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)}
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)}
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)}
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)}
