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3 years ago

Simplify the expressions (a^2b^-3/a^-2b^2)^2

Mathematics

1 answer:

poizon [28]3 years ago

6 0

Answer:

$(\frac{a^{2}b^{-3} }{a^{-2}b^{2} })^{2} = (a^{2-(-2) }b^{-3 - 2})^{2} \\ = (a^{4}b^{-5} )^{2} = (a^{4})^{2} (b^{-5})^{2} = a^{8} b^{-10}$

Here is for you.

Step-by-step explanation:

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64.3 - 3 x 2 cubed / 2

Novay_Z [31]

58.3 I think....hope it helps

8 0

3 years ago

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What is the slope of the line with the following equation?<br><br> <img src="https://tex.z-dn.net/?f=2x%2B3y%3D2" id="TexFormula

KengaRu [80]

QUESTION

Your equation is 2x+3y=2 and you need to find the slope.

EXPLANATION

There are many ways to find the slope with an equation like this. I'm going to change the equation into slope-intercept form.

Slope-intercept form is formatted like this:

y=mx+b

m represents the slope. The first thing you need to do is leave 3y alone to change the equation into slope-intercept form. That means you need to subtract 2x from both sides.

$2x+3y=2 \rightarrow 3y=2-2x\ or\ 3y=-2x-2$

The next thing you need to do is leave y alone, just like the slope-intercept form example. To leave y alone, you need to divide 3y by 3.

$\frac{3y}{3}=\frac{-2x-2}{3} \\ \\ y=-\frac{2}{3}x-\frac{2}{3}$

Now the equation has been changed to slope-intercept form. In the equation, m has been replaced by $-\frac{2}{3}$ , which means that is your answer.

Answer: $-\frac{2}{3}$

5 0

3 years ago

Read 2 more answers

Using the equation in the previous problem calculate how long of a massage jaiden can have is she has approximately $180 the equ

irakobra [83]

180=-2x+30
x=-75

i think this is what we’re supposed to do

7 0

3 years ago

In December 2004, a report based on the National Survey on Drug Use and Health estimated that 20% of all Americans aged 16 to 20

o-na [289]

Answer:

542

Step-by-step explanation:

We are required to find the sample size at 98% confidence interval in this question

E = 0.04

P* = 20% = 0.20

n = p* x (1-p)(Zα/2÷E)²

α = 1 - 0.98

= 0.02

To get Critical value

= 0.02/2 = 0.01

The critical value at 0.01 is 2.33

Inserting values into formula:

O.2 x 0.8(2.33/0.04)²

= 0.8 x 0.2 x 58.25²

= 542.89

The value of n must be an integer therefore the answer is 542.

4 0

3 years ago

If the circumference of a circle is about 15.4 cm, estimate to the nearest whole number the diameter of the circle

nasty-shy [4]

The nearest whole number the diameter of the circle is 5.0 cm.

<u>Given the following data:</u>

Circumference of a circle = 15.4 cm

To estimate to the nearest whole number the diameter of the circle:

In this exercise, you're required to solve for the diameter of a circle and round up its value to the nearest whole number.

<h3>How to calculate the circumference of a circle.</h3>

Mathematically, the circumference of a circle is given by the formula:

$Circumference = \pi D$

<u>Where:</u>

D is the diameter of a circle.

Making D the subject of formula, we have:

$D =\frac{circumference}{\pi}$

Substituting the given parameters into the formula, we have;

$D =\frac{15.4}{3.142}$

D = 4.90 cm

To the nearest whole number:

D = 4.90 ≈ 5.0 cm

Read more on circumference of a circle here: brainly.com/question/14478195

6 0

2 years ago