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xeze [42]
3 years ago
12

Simplify 9x^8 divided by 12x^5.

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
6 0
Ok, so rembmer some basica exponential rules and some fraction rules

(ab)/(cd)=(a/c)(b/d)
and
\frac{x^n}{x^m} =x^{n_m}

so
\frac{9x^8}{12x^5}=( \frac{9}{12} )(  \frac{x^8}{x^5} )=( \frac{3}{4} )(  x^{8-5} )= ( \frac{3}{4} )(  x^{3} )=  \frac{3x^3}{4}
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What is the irrational number
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Answer:

pi is the answer, because it goes on for every

Step-by-step explanation:

Examples of Irrational Numbers. An irrational number cannot be expressed as a ratio between two numbers and it cannot be written as a simple fraction because there is not a finite number of numbers when written as a decimal. Instead, the numbers in the decimal would go on forever, without repeating.

8 0
3 years ago
Today everything in a store is for sale. THe store offers a 30% discount. The regualar price for a T-shirt is 18$. What is the d
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Answer:

12.60

Step-by-step explanation:

Start off by the total which is 18. To find the percentage off you will have to make the 30% into a decimal, so simply move it two spaces to the left. Now you have .30. Multiply the decimal, .30, and the full amount, 18. Your equation now should be (.30)*(18). Your answer will be 5.40. 5.40 is what is off of the shirt from the original price, so subtract 5.40 from 18. Your equation now is (18-5.40) which is 12.60.

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4 years ago
Please help i really need help!
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Whenever you are graphing an inequality,

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6 0
3 years ago
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The lines below are parallel. If the slope of the green line is -4, what is the slope of the red line? 5 m = O A. 4 B. -4 O c. 1
Kobotan [32]

Answer:

-4

Step-by-step explanation:

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The U.S. and many other countries have recently tightened airport security. A sociologist is interested in estimating the propor
melisa1 [442]

Answer:

0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.

Step-by-step explanation:

Conduct a test to determine whether the true proportion of interest is higher than 0.7.

This means that the null hypothesis is: H_{0}: p = 0.7

And the alternate hypothesis is: H_{a}: p > 0.7

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.7 is tested at the null hypothesis:

This means that \mu = 0.7, \sigma = \sqrt{0.7*0.3}

The sociologist found that 375 of the 500 travelers randomly selected and interviewed indicated that the airports were safe.

This means that n = 500, X = \frac{375}{500} = 0.75

Value of the z-statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.75 - 0.7}{\frac{\sqrt{0.7*0.3}}{\sqrt{350}}}

z = 2.44

P-value of the test:

Probability of z being larger than 2.44, that is, a proportion larger than 0.75.

This is, looking at the z-table, 1 subtracted by the pvalue of Z = 2.44. S

Z = 2.44 has a pvalue of 0.9927

1 - 0.9927 = 0.0073

0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.

8 0
3 years ago
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