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navik [9.2K]
2 years ago
8

Simplify the expression completely.

Mathematics
1 answer:
weeeeeb [17]2 years ago
6 0

The solution of the given expression \sqrt{7xy^7}\sqrt{21x^5y^5}will be 7x³y⁶√3.

<h3>What is an expression?</h3>

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The given expression will be solved as follows:-

E =  \sqrt{7xy^7}\sqrt{21x^5y^5}

E = \sqrt{7\times 7\times 3\times xy^7\times x^5y^5

E=\sqrt{7\times 7\times 3\times x^6y^{12}

E = 7x³y⁶√3.

Therefore the solution of the given expression \sqrt{7xy^7}\sqrt{21x^5y^5}will be 7x³y⁶√3.

To know more about Expression follow

brainly.com/question/723406

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I need help for 7 problems
oksano4ka [1.4K]

Answer:

180 {m}^{2}

Step-by-step explanation:

The area of a trapezoid is given by:

Area =  \frac{1}{2} (sum \: of \: bases) \times h

From the diagram, the bases are 17m 23m, and the the height is 12m.

We substitute the values into the formula to get:

Area =  \frac{1}{2} (17 + 13) \times 12

Area =  \frac{1}{2}  \times 30 \times 12

Area = 6 \times 30

This implies that

Area =  180 {m}^{2}

4 0
3 years ago
A sample of 1500 computer chips revealed that 37% of the chips fail in the first 1000 hours of their use. The company's promotio
andreyandreev [35.5K]

Answer:

z=\frac{0.37 -0.39}{\sqrt{\frac{0.39(1-0.39)}{1500}}}=-1.59  

Step-by-step explanation:

Data given and notation

n=1500 represent the random sample taken

\hat p=0.37 estimated proportion of of chips fail in the first 100 hours

p_o=0.39 is the value that we want to test

\alpha represent the significance level

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that  the actual percentage that fail is different from the stated percentage. Find the value of the test statistic.:  

Null hypothesis:p=0.39  

Alternative hypothesis:p \neq 0.39  

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.37 -0.39}{\sqrt{\frac{0.39(1-0.39)}{1500}}}=-1.59  

3 0
3 years ago
BRAINLIEST
Illusion [34]

Answer:

The correct answer is 17.5

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3 years ago
A mine extracts 2 tons of ore in an hour. Of the total ore extracted in a day, 4 tons is purchased by the government and more th
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they sell 4 and more than10 for a total of at least 14 tons

the mine extracts 2 ton per hour

 so 14/2 = 7 hours a day minimum

so the inequality should be x>7

8 0
3 years ago
A circle of center (-3 , -2) passes through the points (0 , -6) and (a , 0). Find a. <br> Pls
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Answer:

It passes through the point (3,4). Given that the center of the circle is the point (0,0). We know that the equation of the circle is given by : (x-a)^2 + (y-b)^2 = r^2 where (a,b) is the center and r is the radius.

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3 years ago
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