Mathematics

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Which expression is equivalent to $p to the power of 3 over 16 end exponent open parentheses p to the power of 1 fourth end exponent close parentheses to the power of 3 over 4 end exponent$ , where p > 0?

$\sqrt[8]{p^{3}}$
$\sqrt[4]{p^{3}}$
$\sqrt[3]{p^{2}}$
$\sqrt{p}$

The correct answer is: $root index 8 of p cubed end root$

$straight P to the power of 3 over 16 end exponent times open parentheses straight P to the power of 1 fourth end exponent close parentheses to the power of 3 over 4 end exponent equals straight P to the power of 3 over 16 end exponent times straight P to the power of 3 over 16 end exponent straight P to the power of 3 over 16 plus 3 over 16 end exponent equals straight P to the power of 6 over 6 end exponent equals straight P to the power of 3 over 8 end exponent equals root index 8 of straight P cubed end root$
Hence option A

2dx - 3cx = 2cd - x
The given equation relates the real numbers c, d, and x, where c < 0 and d > 0. Which equation correctly expresses x in terms of c and d ?

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The value of y is 5 more than twice the value of x. Which of the following represents y in terms of x ?

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grand-tests

mathematics

Which system of linear equations has exactly one solution?

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$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 9 x minus 2 y equals 8 end cell row cell 2 x minus 9 y equals negative 5 over 2 end cell end table$
What is the solution (x, y) to the given system of equations?

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grand-tests

mathematics

If $open vertical bar 2 x minus 5 close vertical bar equals 10$ , what is the value of $open vertical bar 4 x minus 10 close vertical bar$ ?

mathematicsgrand-tests

grand-tests

mathematics

2x + 3y = 5
4x + cy = 8
In the system of equations above, c is a constant. For what value of c will there be no solution (x, y) to the system of equations?

mathematicsgrand-tests

grand-tests

mathematics

The number of employees in Jorge's business can be modeled by the equation E(t) = 4(1.2)^t, where t is the number of years since the business opened. Which of the following is the best interpretation of the number 4 in this context?

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grand-tests

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The graph shows the mass, in kilograms, of an African elephant from birth to age 20 years.

What was the average rate of change in mass, in kilograms per year, of the elephant from age 6 years to age 10 years?

mathematicsgrand-tests

grand-tests

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The shaded region shown represents the solutions to which inequality?

mathematicsgrand-tests

grand-tests

mathematics

Some values of x and their corresponding values of f(x) for the linear function fare shown in the table. What is the value of f (-6) ?

mathematicsgrand-tests

grand-tests

mathematics

The average amount spent, in dollars, by each attendee at a conference from 2008 to 2010 is shown in the table. Which of the following quadratic functions best models the average amount spent f(x), by attendees at the conference from 2008 to 2010, where xis the number of years after 2008?

mathematicsgrand-tests

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Which expression is equivalent to , where p > 0?

The correct answer is:

Hence option A

Related Questions to study

2dx - 3cx = 2cd - xThe given equation relates the real numbers c, d, and x, where c < 0 and d > 0. Which equation correctly expresses x in terms of c and d ?

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The number of employees in Jorge's business can be modeled by the equation E(t) = 4(1.2)t, where t is the number of years since the business opened. Which of the following is the best interpretation of the number 4 in this context?

The number of employees in Jorge's business can be modeled by the equation E(t) = 4(1.2)t, where t is the number of years since the business opened. Which of the following is the best interpretation of the number 4 in this context?

The graph shows the mass, in kilograms, of an African elephant from birth to age 20 years.What was the average rate of change in mass, in kilograms per year, of the elephant from age 6 years to age 10 years?

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Some values of x and their corresponding values of f(x) for the linear function fare shown in the table. What is the value of f (-6) ?

Some values of x and their corresponding values of f(x) for the linear function fare shown in the table. What is the value of f (-6) ?

The average amount spent, in dollars, by each attendee at a conference from 2008 to 2010 is shown in the table. Which of the following quadratic functions best models the average amount spent f(x), by attendees at the conference from 2008 to 2010, where xis the number of years after 2008?

The average amount spent, in dollars, by each attendee at a conference from 2008 to 2010 is shown in the table. Which of the following quadratic functions best models the average amount spent f(x), by attendees at the conference from 2008 to 2010, where xis the number of years after 2008?

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Which expression is equivalent to $p to the power of 3 over 16 end exponent open parentheses p to the power of 1 fourth end exponent close parentheses to the power of 3 over 4 end exponent$ , where p > 0?

The correct answer is: $root index 8 of p cubed end root$

2dx - 3cx = 2cd - x
The given equation relates the real numbers c, d, and x, where c < 0 and d > 0. Which equation correctly expresses x in terms of c and d ?

2dx - 3cx = 2cd - x
The given equation relates the real numbers c, d, and x, where c < 0 and d > 0. Which equation correctly expresses x in terms of c and d ?

If $open vertical bar 2 x minus 5 close vertical bar equals 10$ , what is the value of $open vertical bar 4 x minus 10 close vertical bar$ ?

If $open vertical bar 2 x minus 5 close vertical bar equals 10$ , what is the value of $open vertical bar 4 x minus 10 close vertical bar$ ?

2x + 3y = 5
4x + cy = 8
In the system of equations above, c is a constant. For what value of c will there be no solution (x, y) to the system of equations?

2x + 3y = 5
4x + cy = 8
In the system of equations above, c is a constant. For what value of c will there be no solution (x, y) to the system of equations?

The number of employees in Jorge's business can be modeled by the equation E(t) = 4(1.2)^t, where t is the number of years since the business opened. Which of the following is the best interpretation of the number 4 in this context?

The number of employees in Jorge's business can be modeled by the equation E(t) = 4(1.2)^t, where t is the number of years since the business opened. Which of the following is the best interpretation of the number 4 in this context?

The graph shows the mass, in kilograms, of an African elephant from birth to age 20 years.

What was the average rate of change in mass, in kilograms per year, of the elephant from age 6 years to age 10 years?

The graph shows the mass, in kilograms, of an African elephant from birth to age 20 years.

What was the average rate of change in mass, in kilograms per year, of the elephant from age 6 years to age 10 years?