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4 years ago

How do you simplify that question? For algebra 1.

Mathematics

1 answer:

motikmotik4 years ago

7 0

$\left( \sqrt{x^{-3}} \right)^5 = \left( \sqrt{ \frac{1}{x^3} } \right)^5= \frac{1}{ (\sqrt{x^3})^5 } = \frac{1}{ \sqrt{x^{15}} } = \frac{1}{x^7 \sqrt{x} }$

<span>Explanation for the last step:</span>
$\sqrt{x^{15}}= \sqrt{x^{14}*x}= \sqrt{x^{14}}* \sqrt{x} =x^{ \frac{14}{2} }* \sqrt{x} =x^7 \sqrt{x}$

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Please help. I don't understand how to do this. I need this asap. please

Schach [20]

9514 1404 393

Answer:

r = 1/9

Step-by-step explanation:

First of all, solve the equation for r:

y = rx

y/x = r . . . . . . . divide by x

Since r is a constant, it will be the same for any corresponding pairs of x and y. It is convenient to choose both x and y as integers, as in the third table entry.

r = y/x = 5/45

r = 1/9 . . . . . . . . . reduced fraction

_____

<em>Additional comment</em>

It is not a bad idea to check to see that this works with other values of x and y. For the first line of the table, we have x = 11:

y = rx = (1/9)(11) = 11/9 = 1 2/9 . . . . matches the table value

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3 years ago

You have some cash. You can either invest in a short-term bond that pays 4% or payoff some credit card debt at 9%. Which should

galben [10]

Pay the credit card debt off.

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3 years ago

I can't figure out how to solve this

Maslowich

The key: make the base of two side the same,,,
then: for the same base, the exponents are equal.

3 0

3 years ago

What is the radius and diameter of the circle 14

gizmo_the_mogwai [7]

Answer:

it is

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Step-by-step explanation:

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3 years ago

On September 25, 2011 Michael Vick, the quarterback for the Philadelphia Eagles broke his non-throwing hand in a football game a

miskamm [114]

Answer:

D. We are 95% confident that between about 22% and 28% of ESPN Viewers thought the Eagles would still win the division.

Step-by-step explanation:

We have to calculate a 95% confidence interval for the population proportion. The population is made up of ESPN viewers.

The sample proportion is p=0.25.

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.25*0.75}{914}}\\\\\\ \sigma_p=\sqrt{0.00021}=0.014$

The critical z-value for a 95% confidence interval is z=1.96.

The margin of error (MOE) can be calculated as:

$MOE=z\cdot \sigma_p=1.96 \cdot 0.014=0.028$

Then, the lower and upper bounds of the confidence interval are:

$LL=p-z \cdot \sigma_p = 0.25-0.028=0.222\\\\UL=p+z \cdot \sigma_p = 0.25+0.028=0.278$

The 95% confidence interval for the proportion of ESPN viewers is (0.222, 0.278) or (22.2%, 27.8%).

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3 years ago