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4 years ago

(8x^9y^3)^-2 (6x^7y^7) simplify. write the answer using positive exponents only

1 answer:

4 0

(8x^9y^3)^-2 (6x^7y^7) simplify. write the answer using positive exponents only

 $(8x^9y^3)^{-2} (6x^7y^7)= \\ \\ \\ (8)^{-2} (x^9) ^{-2}( y^3)^{-2} (6)(x^7)(y^7)= \\ \\ \\ (8)^{-2} (x) ^{9-2}( y)^{3-2} (6)(x^7)(y^7)= \\ \\ \\ (8)^{-2} (x) ^{9-2+7}( y)^{3-2+7} (6)= \\ \\ \\ 6*(8)^{-2} (x) ^{14}( y)^{8} = \\ \\ \\ \dfrac{6}{64} x ^{14} y^{8} = \boxed{\dfrac{3}{32}\ x ^{14} y^{8} }$

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An isoceles triangle has two long sides and one short side. The short side is half the length of a long side. If the perimeter o

devlian [24]

Answer:

3cm

Step-by-step explanation:

so the long sides are 6cm and the short sides are 3cm

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3 years ago

A production manager at a wall clock company wants to test their new wall clocks. The designer claims they have a mean life of 1

Harman [31]

The probability that the mean clock life would differ from the population mean by greater than 12.5 years is 98.30%.

Given mean of 14 years, variance of 25 and sample size is 50.

We have to calculate the probability that the mean clock life would differ from the population mean by greater than 1.5 years.

μ=14,

σ= $\sqrt{25}$ =5

n=50

s orσ =5/ $\sqrt{50}$ =0.7071.

This is 1 subtracted by the p value of z when X=12.5.

So,

z=X-μ/σ

=12.5-14/0.7071

=-2.12

P value=0.0170

1-0.0170=0.9830

=98.30%

Hence the probability that the mean clock life would differ from the population mean by greater than 1.5 years is 98.30%.

Learn more about probability at brainly.com/question/24756209

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There is a mistake in question and correct question is as under:

What is the probability that the mean clock life would differ from the population mean by greater than 12.5 years?

5 0

2 years ago

Is 1.625 greater or less than 1.7

Yuliya22 [10]

1.625 is less than 1.7
1.625<1.7

4 0

3 years ago

Select the equation in which you use the inverse property of multiplication to find the solution.

loris [4]

Given:

Equations using properties.

To find:

The equation which use the inverse property of multiplication.

Solution:

Inverse property of multiplication:

The product of any number and its reciprocal is always 1.

Let us select the option which uses inverse property of multiplication.

Option A: $\left(\frac{3}{4} \cdot \frac{4}{3}\right)+7=8$

Inverse of $\frac{3}{4}$ is $\frac{4}{3}$ . Their product is 1.

$$\frac{3}{4} \cdot \frac{4}{3}=1$

This equation uses the inverse property of multiplication.

Option B: $\left(-\frac{7}{8}+\frac{7}{8}\right)+4=4$

Inverse of $\frac{-7}{8}$ is $\frac{8}{-7}$

So, it is not true equation.

Option C: $(-5 \cdot 0)-9=-9$

Inverse of $-5$ is $-\frac{1}{5}$ .

So, it is not true equation.

Option D: $\left[7 \cdot\left(\frac{5}{7}-\frac{4}{7}\right)\right]+8=9$

Here also inverse property is not used.

So, it is not true equation.

Hence the equation use the inverse property of multiplication is

$$\left(\frac{3}{4} \cdot \frac{4}{3}\right)+7=8$ .

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3 years ago

Find the value of X.

nordsb [41]

90+(2x+15)+x=180
90+2x+15+x=180
105+3x=180
3x=75
x=75/3
x=25degree

3 0

4 years ago

Read 2 more answers