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Multiply. (Assume the variables represent nonnegative real numbers.) Multiply. (Assume the variables represent nonnegative real numbers.)    A)    B)    C)    D)    E)


A) Multiply. (Assume the variables represent nonnegative real numbers.)    A)    B)    C)    D)    E)
B) Multiply. (Assume the variables represent nonnegative real numbers.)    A)    B)    C)    D)    E)
C) Multiply. (Assume the variables represent nonnegative real numbers.)    A)    B)    C)    D)    E)
D) Multiply. (Assume the variables represent nonnegative real numbers.)    A)    B)    C)    D)    E)
E) Multiply. (Assume the variables represent nonnegative real numbers.)    A)    B)    C)    D)    E)

F) A) and B)
G) A) and C)

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Use a calculator to find decimal approximations for Use a calculator to find decimal approximations for   and   Give answers to three decimal places, if necessary.   __________   __________ and Use a calculator to find decimal approximations for   and   Give answers to three decimal places, if necessary.   __________   __________ Give answers to three decimal places, if necessary. Use a calculator to find decimal approximations for   and   Give answers to three decimal places, if necessary.   __________   __________ __________ Use a calculator to find decimal approximations for   and   Give answers to three decimal places, if necessary.   __________   __________ __________

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Find the product. Find the product.

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Find the following root, if possible. Find the following root, if possible.

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Solve the equation. Solve the equation.   A)    B)    C)    D)    E)  All real numbers


A) Solve the equation.   A)    B)    C)    D)    E)  All real numbers
B) Solve the equation.   A)    B)    C)    D)    E)  All real numbers
C) Solve the equation.   A)    B)    C)    D)    E)  All real numbers
D) Solve the equation.   A)    B)    C)    D)    E)  All real numbers
E) All real numbers

F) A) and B)
G) A) and C)

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Use the properties of exponents to simplify the following as much as possible. Assume all bases are positive. Use the properties of exponents to simplify the following as much as possible. Assume all bases are positive.   A)    B)    C)    D)    E)  none of these


A) Use the properties of exponents to simplify the following as much as possible. Assume all bases are positive.   A)    B)    C)    D)    E)  none of these
B) Use the properties of exponents to simplify the following as much as possible. Assume all bases are positive.   A)    B)    C)    D)    E)  none of these
C) Use the properties of exponents to simplify the following as much as possible. Assume all bases are positive.   A)    B)    C)    D)    E)  none of these
D) Use the properties of exponents to simplify the following as much as possible. Assume all bases are positive.   A)    B)    C)    D)    E)  none of these
E) none of these

F) B) and C)
G) D) and E)

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Combine the following expressions. (Assume any variables under an even root are nonnegative.) Combine the following expressions. (Assume any variables under an even root are nonnegative.)    A)    B)    C)    D)    E)


A) Combine the following expressions. (Assume any variables under an even root are nonnegative.)    A)    B)    C)    D)    E)
B) Combine the following expressions. (Assume any variables under an even root are nonnegative.)    A)    B)    C)    D)    E)
C) Combine the following expressions. (Assume any variables under an even root are nonnegative.)    A)    B)    C)    D)    E)
D) Combine the following expressions. (Assume any variables under an even root are nonnegative.)    A)    B)    C)    D)    E)
E) Combine the following expressions. (Assume any variables under an even root are nonnegative.)    A)    B)    C)    D)    E)

F) A) and B)
G) A) and C)

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Use the definition of rational exponents to write the following with the appropriate root. Then simplify. Use the definition of rational exponents to write the following with the appropriate root. Then simplify.

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Rectangle ACEF is a golden rectangle. If side AC is 4 inches, can the smaller rectangle BDEF also be a golden rectangle? Rectangle ACEF is a golden rectangle. If side AC is 4 inches, can the smaller rectangle BDEF also be a golden rectangle?   A)  Yes B)  No


A) Yes
B) No

C) A) and B)
D) undefined

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Multiply. Multiply.   A)    B)    C)    D)    E)


A) Multiply.   A)    B)    C)    D)    E)
B) Multiply.   A)    B)    C)    D)    E)
C) Multiply.   A)    B)    C)    D)    E)
D) Multiply.   A)    B)    C)    D)    E)
E) Multiply.   A)    B)    C)    D)    E)

F) A) and B)
G) B) and C)

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Multiply. (Assume the variables represent nonnegative real numbers.) Multiply. (Assume the variables represent nonnegative real numbers.)    A)    B)    C)    D)


A) Multiply. (Assume the variables represent nonnegative real numbers.)    A)    B)    C)    D)
B) Multiply. (Assume the variables represent nonnegative real numbers.)    A)    B)    C)    D)
C) Multiply. (Assume the variables represent nonnegative real numbers.)    A)    B)    C)    D)
D) Multiply. (Assume the variables represent nonnegative real numbers.)    A)    B)    C)    D)

E) A) and B)
F) A) and C)

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Find the quotient. Write the answer in standard form for complex numbers. Find the quotient. Write the answer in standard form for complex numbers.   A)    B)    C)    D)    E)


A) Find the quotient. Write the answer in standard form for complex numbers.   A)    B)    C)    D)    E)
B) Find the quotient. Write the answer in standard form for complex numbers.   A)    B)    C)    D)    E)
C) Find the quotient. Write the answer in standard form for complex numbers.   A)    B)    C)    D)    E)
D) Find the quotient. Write the answer in standard form for complex numbers.   A)    B)    C)    D)    E)
E) Find the quotient. Write the answer in standard form for complex numbers.   A)    B)    C)    D)    E)

F) B) and D)
G) C) and D)

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Simplify the expression. Remember, negative exponents give reciprocals. Simplify the expression. Remember, negative exponents give reciprocals.   A)    B)    C)    D)    E)


A) Simplify the expression. Remember, negative exponents give reciprocals.   A)    B)    C)    D)    E)
B) Simplify the expression. Remember, negative exponents give reciprocals.   A)    B)    C)    D)    E)
C) Simplify the expression. Remember, negative exponents give reciprocals.   A)    B)    C)    D)    E)
D) Simplify the expression. Remember, negative exponents give reciprocals.   A)    B)    C)    D)    E)
E) Simplify the expression. Remember, negative exponents give reciprocals.   A)    B)    C)    D)    E)

F) B) and D)
G) A) and B)

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Simplify the expression. Assume all variables represent nonnegative numbers. Simplify the expression. Assume all variables represent nonnegative numbers.   A)    B)    C)    D)    E)


A) Simplify the expression. Assume all variables represent nonnegative numbers.   A)    B)    C)    D)    E)
B) Simplify the expression. Assume all variables represent nonnegative numbers.   A)    B)    C)    D)    E)
C) Simplify the expression. Assume all variables represent nonnegative numbers.   A)    B)    C)    D)    E)
D) Simplify the expression. Assume all variables represent nonnegative numbers.   A)    B)    C)    D)    E)
E) Simplify the expression. Assume all variables represent nonnegative numbers.   A)    B)    C)    D)    E)

F) C) and D)
G) A) and C)

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The maximum speed ( v ) that an automobile can travel around a curve of radius r without skidding is given by the equation The maximum speed ( v )  that an automobile can travel around a curve of radius r without skidding is given by the equation   where v is in miles per hour and r is measured in feet. What is the maximum speed a car can travel around a curve with a radius of 360 feet without skidding? A)  The maximum speed is 180 mph. B)  The maximum speed is 25 mph. C)  The maximum speed is 12 mph. D)  The maximum speed is 90 mph. E)  The maximum speed is 30 mph. where v is in miles per hour and r is measured in feet. What is the maximum speed a car can travel around a curve with a radius of 360 feet without skidding?


A) The maximum speed is 180 mph.
B) The maximum speed is 25 mph.
C) The maximum speed is 12 mph.
D) The maximum speed is 90 mph.
E) The maximum speed is 30 mph.

F) A) and C)
G) D) and E)

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Solve the equation. Solve the equation.   x = __________ x = __________

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Solve the equation. (Hint: square both sides of the equation twice to eliminate the radicals.) Solve the equation. (Hint: square both sides of the equation twice to eliminate the radicals.)    A)    B)    C)    D)    E)


A) Solve the equation. (Hint: square both sides of the equation twice to eliminate the radicals.)    A)    B)    C)    D)    E)
B) Solve the equation. (Hint: square both sides of the equation twice to eliminate the radicals.)    A)    B)    C)    D)    E)
C) Solve the equation. (Hint: square both sides of the equation twice to eliminate the radicals.)    A)    B)    C)    D)    E)
D) Solve the equation. (Hint: square both sides of the equation twice to eliminate the radicals.)    A)    B)    C)    D)    E)
E) Solve the equation. (Hint: square both sides of the equation twice to eliminate the radicals.)    A)    B)    C)    D)    E)

F) A) and C)
G) B) and D)

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Complex numbers may be applied to electrical circuits. Electrical engineers use the fact that resistance Complex numbers may be applied to electrical circuits. Electrical engineers use the fact that resistance   to electrical flow of the electrical current   and the voltage   are related by the formula   . (Voltage is measured in volts, resistance in ohms, and current in amperes). Find the resistance to electrical flow in a circuit that has a voltage   volts and current   amps. to electrical flow of the electrical current Complex numbers may be applied to electrical circuits. Electrical engineers use the fact that resistance   to electrical flow of the electrical current   and the voltage   are related by the formula   . (Voltage is measured in volts, resistance in ohms, and current in amperes). Find the resistance to electrical flow in a circuit that has a voltage   volts and current   amps. and the voltage Complex numbers may be applied to electrical circuits. Electrical engineers use the fact that resistance   to electrical flow of the electrical current   and the voltage   are related by the formula   . (Voltage is measured in volts, resistance in ohms, and current in amperes). Find the resistance to electrical flow in a circuit that has a voltage   volts and current   amps. are related by the formula Complex numbers may be applied to electrical circuits. Electrical engineers use the fact that resistance   to electrical flow of the electrical current   and the voltage   are related by the formula   . (Voltage is measured in volts, resistance in ohms, and current in amperes). Find the resistance to electrical flow in a circuit that has a voltage   volts and current   amps. . (Voltage is measured in volts, resistance in ohms, and current in amperes). Find the resistance to electrical flow in a circuit that has a voltage Complex numbers may be applied to electrical circuits. Electrical engineers use the fact that resistance   to electrical flow of the electrical current   and the voltage   are related by the formula   . (Voltage is measured in volts, resistance in ohms, and current in amperes). Find the resistance to electrical flow in a circuit that has a voltage   volts and current   amps. volts and current Complex numbers may be applied to electrical circuits. Electrical engineers use the fact that resistance   to electrical flow of the electrical current   and the voltage   are related by the formula   . (Voltage is measured in volts, resistance in ohms, and current in amperes). Find the resistance to electrical flow in a circuit that has a voltage   volts and current   amps. amps.

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Factor Factor   from   A)    B)    C)    D)    E)   from Factor   from   A)    B)    C)    D)    E)


A) Factor   from   A)    B)    C)    D)    E)
B) Factor   from   A)    B)    C)    D)    E)
C) Factor   from   A)    B)    C)    D)    E)
D) Factor   from   A)    B)    C)    D)    E)
E) Factor   from   A)    B)    C)    D)    E)

F) D) and E)
G) A) and D)

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Multiply. (Assume the variable represents a nonnegative real number.) Multiply. (Assume the variable represents a nonnegative real number.)    A)    B)    C)    D)    E)


A) Multiply. (Assume the variable represents a nonnegative real number.)    A)    B)    C)    D)    E)
B) Multiply. (Assume the variable represents a nonnegative real number.)    A)    B)    C)    D)    E)
C) Multiply. (Assume the variable represents a nonnegative real number.)    A)    B)    C)    D)    E)
D) Multiply. (Assume the variable represents a nonnegative real number.)    A)    B)    C)    D)    E)
E) Multiply. (Assume the variable represents a nonnegative real number.)    A)    B)    C)    D)    E)

F) None of the above
G) A) and B)

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