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ad-work [718]
3 years ago
12

Simplify -3d^8(-4d^-14). Assume d =/ 0​

Mathematics
1 answer:
Alenkinab [10]3 years ago
8 0

Answer:

\frac{12}{d^6}

Step-by-step explanation:

-3d^8\left(-4d^{-14}\right)

Double negative = Positive:

3d^8*4d^{-14}

Apply negative exponent formula:

3*d^8*4*\frac{1}{d^{14}}

Multiply:

\frac{12d^8}{d^{14}}

Apply exponent rule: \frac{x^a}{x^b}=\frac{1}{x^{b-a}}

Thus, \frac{12}{d^{14-8}}

Simplify:

\frac{12}{d^6}

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Which following figures have a area of 64 square feet? Select three that apply
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<em><u>a,e and b</u></em>

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In a class 30 students,20 students like to play cricket and 15 like to play valleyball. Also each student like to play at least
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Point Q is the center of dilation. Lines segment S U is dilated to form line segment S prime U prime. The length of Q S is 3 .2
tia_tia [17]

Answer:

Option C.

Step-by-step explanation:

It is given that the dilation rule is D_{Q,2.5}. It means the center of dilatation is point Q and scale factor is 2.5.

Scale factor is the ratio of distance from center to the image of a point and distance from center to the corresponding point.

\text{Scale factor}=\dfrac{QU'}{QU}

It is given that QU=4 and scale factor = 2.5.

2.5=\dfrac{QU'}{4}

Multiply both sides by 4.

2.5\times 4=QU'

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Jaun's age, x, is 4 times his age 15 years ago
KIM [24]

The expression of the mathematical statement given as "Jaun's age, x, is 4 times his age 15 years ago" is x = 4 * (x - 15)

<h3>How to rewrite the statement as an expression?</h3>

The mathematical statement is given as

Jaun's age, x, is 4 times his age 15 years ago

From the statement, we have:

x represent Juan's current age

This means that his age 15 years ago is

15 years ago = x - 15

4 times his age 15 years ago is

4 * 15 years ago = 4 * (x - 15)

The above equation is equivalent to his current age

So, we have

x = 4 * (x - 15)

Hence, the expression of the mathematical statement given as "Jaun's age, x, is 4 times his age 15 years ago" is x = 4 * (x - 15)

Read more about expressions at

brainly.com/question/2972832

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7 0
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