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3 years ago

After the expression (x^16)3/4 is simplified as much as possible, x is raised to what exponent?

1 answer:

7 0

The expression is $\displaystyle { (\displaystyle{x} ^{\displaystyle{ 16})^{\displaystyle{ \frac{3}{4}}$ .

By exponents laws, we have $\displaystyle { (a^b)^c=a^{b\cdot c}$ . Applying this rule, we have:

$\displaystyle{ (x^{\displaystyle16})^\displaystyle \frac{3}{4}$ $=\displaystyle x^{\displaystyle16\cdot \displaystyle\frac{3}{4} }=x^{\displaystyle4\cdot3}=x^{12}$

Answer: 12

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If the right tail of a dot plot is longer than the left, which of these statements is true about the distribution it represents?

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Answer:

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A plant has an initial height of 2 inches and grows at a constant rate of 2 inches each month. A second plant that also grows at

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3 years ago

Find German's gross pay if he is paid a salary of $175 and gets 3% of his $18,000 product sales?

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.03*18000=540

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Determine the values of the parameter s for which the system has a unique solution, and describe the solution. sx 1 minus 2 sx

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Note: The equations written in this questions are not appropriately expressed, however, i will work with hypothetical equations that will enable you to solve any problems of this kind.

Answer:

For the system of equations to be unique, s can take all values except 2 and -2

Step-by-step explanation:

$2sx_{1} + 4x_{2} = -3\\2x_{1} + sx_{2} = 4$

$\left[\begin{array}{ccc}2s&4\\2&s\end{array}\right] \left[\begin{array}{ccc}x_{1} \\x_{2} \end{array}\right] = \left[\begin{array}{ccc}-3 \\6 \end{array}\right]$

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4 years ago

A chemical company makes two brands of antifreeze. The first brand is 30% pure antifreeze and the second brand is 55% pure antif

Phantasy [73]

Answer:

64 gallons 30%
96 gallons 55%

Step-by-step explanation:

The amount of each brand can be found by writing and solving an equation that makes use of the given relations.

<h3>Setup</h3>

Let x represent the quantity of 55% pure antifreeze needed in the mixture. Then the quantity of the 30% brand is (160-x). The amount of pure antifreeze in the mixture is ...

0.55x +0.30(160 -x) = 0.45(160)

<h3>Solution</h3>

Subtracting 0.30(160), we have ...

x(0.55 -0.30) = 160(0.45 -0.30)

x = 24/0.25 = 96 . . . . . simplify, divide by the coefficient of x

96 gallons of the 55% brand, and 64 gallons of the 30% brand must be used.

Read more about mixture problems here:

brainly.com/question/26751698

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