Exam 9: Inequalities and Problem Solving

Solve the problem. -A sample of 700 g of lead-210 decays to polonium-210 according to the function given by A(t) = 700e-0.032t, where t is time in years. What is the amount of the sample after 10 years? Round the answer to the nearest gram.

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Question 81

Evaluate the expression without using a calculator. - $\ln \mathrm { e } ^ { 9 }$

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Question 82

Find the domain of the logarithmic function. Write your answer in interval notation. - $f ( x ) = \log _ { 3 } ( x + 2 )$

(Multiple Choice)

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Question 83

Approximate the number using a calculator. Round the answer to three decimal places. - $5 ^ { - 1.6 }$

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Question 84

The graph of an exponential function is given. Select the function for the graph from the functions listed. -

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Question 85

Graph the function. - $f(x)=\log _{1 / 6} x$ $Graph the function. - f(x)=\log _{1 / 6} x$

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Question 86

Approximate the number using a calculator. Round the answer to three decimal places. - $\mathrm { e } ^ { 1.3 }$

(Multiple Choice)

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Question 87

Solve the problem. -The function D(h) = 5e-0.4h can be used to determine the milligrams D of a certain drug in a patient's bloodstream h hours after the drug has been given. How many milligrams will be present after 12 hours? Round the answer to two decimal places.

(Multiple Choice)

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Question 88

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. - $\log _ { 7 } x ^ { 8 }$

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Question 89

Graph the function. -Use the graph of $f ( x ) = 3 ^ { x }$ to obtain the graph of $g ( x ) = 3 ^ { - x }$ . $Graph the function. -Use the graph of f ( x ) = 3 ^ { x } to obtain the graph of g ( x ) = 3 ^ { - x } .$

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Question 90

The function f $f ( x ) = 800 ( 0.5 ) ^ { x / 60 }$ 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 40 years. Round to the nearest whole number.

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Question 91

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. - $\log _ { 2 } \left( \frac { \sqrt { y } } { 16 } \right)$

(Multiple Choice)

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Question 92

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. - $\log _ { 4 } ( 16 x )$

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Question 93

Showing 81 - 93 of 93

Solve the problem. -A sample of 700 g of lead-210 decays to polonium-210 according to the function given by A(t) = 700e-0.032t, where t is time in years. What is the amount of the sample after 10 years? Round the answer to the nearest gram.

Evaluate the expression without using a calculator. - $\ln \mathrm { e } ^ { 9 }$

Find the domain of the logarithmic function. Write your answer in interval notation. - $f ( x ) = \log _ { 3 } ( x + 2 )$

Approximate the number using a calculator. Round the answer to three decimal places. - $5 ^ { - 1.6 }$

The graph of an exponential function is given. Select the function for the graph from the functions listed. -

Graph the function. - $f(x)=\log _{1 / 6} x$ $Graph the function. - f(x)=\log _{1 / 6} x$

Approximate the number using a calculator. Round the answer to three decimal places. - $\mathrm { e } ^ { 1.3 }$

Solve the problem. -The function D(h) = 5e-0.4h can be used to determine the milligrams D of a certain drug in a patient's bloodstream h hours after the drug has been given. How many milligrams will be present after 12 hours? Round the answer to two decimal places.

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. - $\log _ { 7 } x ^ { 8 }$

Graph the function. -Use the graph of $f ( x ) = 3 ^ { x }$ to obtain the graph of $g ( x ) = 3 ^ { - x }$ . $Graph the function. -Use the graph of f ( x ) = 3 ^ { x } to obtain the graph of g ( x ) = 3 ^ { - x } .$

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. - $\log _ { 2 } \left( \frac { \sqrt { y } } { 16 } \right)$

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. - $\log _ { 4 } ( 16 x )$

Variables, Real Numbers, and Mathematical Models

Linear Equations and Inequalities in One Variable

Linear Equations in Two Variables

Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

Basics of Functions

Radicals, Radical Functions, and Rational Exponents

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Exam 9: Inequalities and Problem Solving

Solve the problem. -A sample of 700 g of lead-210 decays to polonium-210 according to the function given by A(t) = 700e-0.032t, where t is time in years. What is the amount of the sample after 10 years? Round the answer to the nearest gram.

Evaluate the expression without using a calculator. - ln⁡e9\ln \mathrm { e } ^ { 9 }lne9

Find the domain of the logarithmic function. Write your answer in interval notation. - f(x)=log⁡3(x+2)f ( x ) = \log _ { 3 } ( x + 2 )f(x)=log3​(x+2)

Approximate the number using a calculator. Round the answer to three decimal places. - 5−1.65 ^ { - 1.6 }5−1.6

The graph of an exponential function is given. Select the function for the graph from the functions listed. -

Graph the function. - f(x)=log⁡1/6xf(x)=\log _{1 / 6} xf(x)=log1/6​x

Approximate the number using a calculator. Round the answer to three decimal places. - e1.3\mathrm { e } ^ { 1.3 }e1.3

Solve the problem. -The function D(h) = 5e-0.4h can be used to determine the milligrams D of a certain drug in a patient's bloodstream h hours after the drug has been given. How many milligrams will be present after 12 hours? Round the answer to two decimal places.

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. - log⁡7x8\log _ { 7 } x ^ { 8 }log7​x8

Graph the function. -Use the graph of f(x)=3xf ( x ) = 3 ^ { x }f(x)=3x to obtain the graph of g(x)=3−xg ( x ) = 3 ^ { - x }g(x)=3−x .

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. - log⁡2(y16)\log _ { 2 } \left( \frac { \sqrt { y } } { 16 } \right)log2​(16y​​)

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. - log⁡4(16x)\log _ { 4 } ( 16 x )log4​(16x)

Variables, Real Numbers, and Mathematical Models

Linear Equations and Inequalities in One Variable

Linear Equations in Two Variables

Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

Basics of Functions

Radicals, Radical Functions, and Rational Exponents

Filters

Evaluate the expression without using a calculator. - $\ln \mathrm { e } ^ { 9 }$

Find the domain of the logarithmic function. Write your answer in interval notation. - $f ( x ) = \log _ { 3 } ( x + 2 )$

Approximate the number using a calculator. Round the answer to three decimal places. - $5 ^ { - 1.6 }$

Graph the function. - $f(x)=\log _{1 / 6} x$ $Graph the function. - f(x)=\log _{1 / 6} x$

Approximate the number using a calculator. Round the answer to three decimal places. - $\mathrm { e } ^ { 1.3 }$

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. - $\log _ { 7 } x ^ { 8 }$

Graph the function. -Use the graph of $f ( x ) = 3 ^ { x }$ to obtain the graph of $g ( x ) = 3 ^ { - x }$ . $Graph the function. -Use the graph of f ( x ) = 3 ^ { x } to obtain the graph of g ( x ) = 3 ^ { - x } .$

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. - $\log _ { 2 } \left( \frac { \sqrt { y } } { 16 } \right)$

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. - $\log _ { 4 } ( 16 x )$