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mel-nik [20]
3 years ago
5

Rewrite the expression using only positive integer exponents.

Mathematics
1 answer:
Andrews [41]3 years ago
3 0

Answer:

So we got:

\left(m^{\frac{2}{3}}n^{\frac{-1}{3}}\right)^6

m^4\left(n^{\frac{-1}{3}}\right)^6\\

More attention for (n^{\frac{-1}{3}}\right))^6\\

n^{-2}

\frac{1}{n^2}

Join:

m^4\frac{1}{n^2}

\frac{1\cdot \:m^4}{n^2}\\\frac{m^4}{n^2}

Therefore, the answer is \frac{m^4}{n^2} , letter A

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X=6<br> is a solution to the inequality x−5≤ 10<br><br> True or False?
vekshin1

Answer:

  • \boxed{\sf{FALSE}}
  • \boxed{\sf{x\leq 15}}

Step-by-step explanation:

Isolate the term of x from one side of the equation.

<h3>x-5≤10</h3>

<u>First, add by 5 from both sides.</u>

\sf{x-5+5\leq10+5}

<u>Solve.</u>

<u>Add the numbers from left to right.</u>

\sf{10+5=15}

\Longrightarrow: \boxed{\sf{x\leq 15}}

  • <u>Therefore, the solution is x≤15, which is our answer.</u>

I hope this helps you! Let me know if my answer is wrong or not.

6 0
2 years ago
Read 2 more answers
Question 1 is points) If point A is (3.1). What is it's new position after x --&gt; {X-3. y - 1). 0 (0.0) (62) (2-2) 01-3-1)​
lutik1710 [3]

Answer:

(0,0), or A

Step-by-step explanation:

Given the function { x - 3, y - 1 }:

(3 -3, 1-1)=(0,0)

7 0
3 years ago
Can you construct a triangle that has side lengths 2 yd, 9 yd, and 10 yd?
yan [13]

Yes


The rule to check if a triplet of numbers can represent the sides of a triangle is the following: the sum of the length of two sides must exceed the third one.


This happens for all possible couples in your case:


2+9=11>10


2+10=12>9


9+10=19>2

3 0
3 years ago
A researcher finds that of 1000 people who said that they attend a religious service at least once a week, A stopped to help a p
Ne4ueva [31]

Answer:

There is enough evidence to support the claim that the proportions are not equal. (P-value: 0.048).

Step-by-step explanation:

The question is incomplete:

<em>"A researcher finds that of 1000 people who said that they attend a religious service at least once a week, 31 stopped to help a person with car trouble. Of 1200 people interviewed who had not attended a religious service at least once a month, 22 stopped to help a person with car trouble. At the 0.05 significance level, test the claim that the two proportions are different."</em>

This is a hypothesis test for the difference between proportions.

The claim is that the proportions are not equal.

Then, the null and alternative hypothesis are:

H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2\neq 0

The significance level is 0.05.

The sample 1, of size n1=1000 has a proportion of p1=0.031.

p_1=X_1/n_1=31/1000=0.031

The sample 2, of size n2=1200 has a proportion of p2=0.018.

p_2=X_2/n_2=22/1200=0.018

The difference between proportions is (p1-p2)=0.013.

p_d=p_1-p_2=0.031-0.018=0.013

The pooled proportion, needed to calculate the standard error, is:

p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{31+22}{1000+1200}=\dfrac{53}{2200}=0.024

The estimated standard error of the difference between means is computed using the formula:

s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.024*0.976}{1000}+\dfrac{0.024*0.976}{1200}}\\\\\\s_{p1-p2}=\sqrt{0+0}=\sqrt{0}=0.007

Then, we can calculate the z-statistic as:

z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.013-0}{0.007}=\dfrac{0.013}{0.007}=1.98

This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):

P-value=2\cdot P(z>1.98)=0.048

As the P-value (0.048) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the proportions are not equal.

6 0
3 years ago
Solve the equation for x in terms of c
Dovator [93]

solve\:for\:x,\:\frac{2}{3}\left(cx+\frac{1}{2}\right)-\frac{1}{4}=\frac{5}{2}

\mathrm{Add\:}\frac{1}{4}\mathrm{\:to\:both\:sides}

\frac{2}{3}\left(cx+\frac{1}{2}\right)-\frac{1}{4}+\frac{1}{4}=\frac{5}{2}+\frac{1}{4}

\frac{2}{3}\left(cx+\frac{1}{2}\right)=\frac{11}{4}

\mathrm{Multiply\:both\:sides\:by\:}3

3\cdot \frac{2}{3}\left(cx+\frac{1}{2}\right)=\frac{11\cdot \:3}{4}

2cx+1=\frac{33}{4}

\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}

2cx+1-1=\frac{33}{4}-1

2cx=\frac{29}{4}

\mathrm{Divide\:both\:sides\:by\:}2c

x=\frac{29}{8c}

<h3>Therefore, correct option is C. option.</h3><h3>C. x=29/8c</h3>
8 0
3 years ago
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