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Natasha2012 [34]
3 years ago
15

Just need someone to check my answer

Mathematics
2 answers:
mixas84 [53]3 years ago
3 0
<span>The correct answer is 216x</span>⁶<span>y</span>⁵<span>.

Explanation:
The first thing we do is raise the last monomial to the third power.

(4xy)(2x</span>²<span>y)(3xy)</span>³
<span>=(4xy)(2x</span>²<span>y)(3</span>³<span>x</span>³<span>y</span>³<span>)
=4xy(2x</span>²<span>y)(27x</span>³<span>y</span>³<span>).

Now we can multiply the first two monomials. When we multiply powers with the same base, we add the exponents:
8x</span>³<span>y</span>²<span>(27x</span>³<span>y</span>³<span>).

We multiply these last two monomials, again adding the exponents:
216x</span>⁶<span>y</span>⁵<span>.</span>
Dimas [21]3 years ago
3 0

Answer:  216x^6y^5

Step-by-step explanation:

The product law of exponents are given as :-

a^m\times a^n=a^{m+n}

Given expression:-(4xy)(2x^2y)(3xy)^3

Which can be written as

(4xy)(2x^2y)(27x^3y^3)\\=4\cdot2\cdot27\cdot x^{1+2+3}y^{1+1+3}\\=216x^6y^5

hence the simplifies form of the given expression is  216x^6y^5

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There's a pair of points (3,5), (x,15) and a slope of 2 how do I find x​
sergeinik [125]

You have the slope and you have two points, so you can use the slope equation to find x.

b=\frac{(y_2-y_1)}{(x_2-x_1)} \\2=\frac{(15-5)}{(x-3)} \\2(x-3)=(15-5)\\2x-6=10\\2x=16\\x=8

So your answer is x = 8.

8 0
3 years ago
Read 2 more answers
Find the geometric mean between 8 and 18. Write answer as a simplified radical. No Decimals!!!!
Crank

Answer: Therefore, the geometric mean of 8 and 18 is 12. Therefore, the geometric mean of 8 and 18 is 12.

Step-by-step explanation:

4 0
3 years ago
Alana and two of her friends evenly split the cost of a meal. each person owes $14.68.
True [87]

Answer:

$44.04

Step-by-step explanation:

14.68 * 3 = 44.04

8 0
3 years ago
Help help please please
trapecia [35]

9514 1404 393

Answer:

  b = √32

Step-by-step explanation:

The Pythagorean theorem tells you the relation between the side lengths is ...

  2² + b² = 6²

  b² = 36 -4 = 32

  b = √32

_____

<em>Additional comment</em>

This radical can be simplified by removing a square from under the radical.

  b = \sqrt{32}=\sqrt{16\cdot2}=\sqrt{16}\cdot\sqrt{2}=4\sqrt{2}

5 0
2 years ago
A doctor wants to estimate the mean HDL cholesterol of all​ 20- to​ 29-year-old females. The number of subjects needed to estima
Ludmilka [50]

Answer:

n=(\frac{1.64(14.7)}{3})^2 =64.57 \approx 65

So the answer for this case would be n=65 rounded up to the nearest integer

And the sample size would decrease by 160-65=95 subjects

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

ME represent the margin of error

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

2) Solution to the problem

Since the new Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that z_{\alpha/2}=1.64

Assuming that the deviation is known we can express the margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =\pm 3 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

Replacing into formula (b) we got:

n=(\frac{1.64(14.7)}{3})^2 =64.57 \approx 65

So the answer for this case would be n=65 rounded up to the nearest integer

And the sample size would decrease by 160-65=95 subjects

8 0
3 years ago
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