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Mice21 [21]
3 years ago
12

What is the final product? ^5sqrt4x^2 ^5sqrt4x^2

Mathematics
1 answer:
AnnyKZ [126]3 years ago
4 0
For this case we have the following expression:
 ^ 5sqrt4x ^ 2 ^ 5sqrt4x ^ 2
 Rewriting the expression we have:
 ((4x ^ 2) ^ (1/5)) ((4x ^ 2) ^ (1/5))
 For power properties we have:
 (4x ^ 2) ^ (1/5 + 1/5)
 (4x ^ 2) ^ (2/5)
 Rewriting we have:
 (16x ^ 4) ^ (1/5)
 ^ 5sqrt16x ^ 4
 Answer:
 
^5sqrt16x^4
You might be interested in
Please help me i dont know what the answer is ??
Assoli18 [71]
To answer this, we need to use the rules of geometric shapes. An equilateral triangle is equiangular, meaning all its angle measures are equal. Since all triangles' angles add up to 180°, simply divide 180 by three to find the angle measure of each angle:
\frac{180}{3} = 60
Therefore, the measure of the triangle's angle is 60°

Next, we know that a characteristic of a rectangle is that each angle must be a right angle, or an angle with a measure of 90°.

Now, all we have to do is use the sum of all the angle measures to figure out the missing piece:
90=x+60+12 \\ 90=x+72 \\ 90-72=(x+72)-72 \\ 18=x

The missing angle measure, angle x, equals 18°.

Hope this helps!
7 0
3 years ago
A school administrator bought 6 desk sets. Each set consists of one table and one chair. He paid $48.50 for each chalr. If he pa
zlopas [31]
The answer is $62.00

Explanation: If you take $48.50 times 6 you get $291 now subtract $291 from $663 you will have an answer of $372 that is how much the total of tables came to now divide 372 by 6 for the number of tables and you will be left with 62
7 0
3 years ago
The Information Technology Department at a large university wishes to estimate the proportion of students living in the dormitor
nadya68 [22]

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.05}{1.96})^2}=384.16  

And rounded up we have that n=385

Step-by-step explanation:

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".  

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.05 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

We can use as an estimator for p \hat p =0.5. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.05}{1.96})^2}=384.16  

And rounded up we have that n=385

3 0
3 years ago
It takes 40 minutes for eight people to paint four walls how many minutes does it takes 10 people to paint seven walls
sasho [114]
8r(40)=4

r=1/80  that is the rate for each person...

10rt=7  using r we found before

10(1/80)t=7

t/8=7

t=56 minutes.
8 0
3 years ago
Sophia went out to dinner at an Indian restaurant. The total bill was $54. She wanted to leave a 15% tip. What was her total bil
MissTica

Answer:

$62.10

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
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