All categories

3 years ago

Rewrite the rational exponent as a radical.(5*3/4 power)2/3 power

1 answer:

6 0

$Use:\\\sqrt[n]{a^m}=a^{\frac{m}{n}}\\\\(a^n)^m=a^{nm}\\\\\left(5^{\frac{3}{4}}\right)^{\frac{2}{3}}=5^{\frac{3}{4}\cdot\frac{2}{3}}=5^{\frac{1}{2}\cdot\frac{1}{1}}=5^{\frac{1}{2}}=\sqrt[2]{5}=\boxed{\sqrt5}$

You might be interested in

I need help solving this

viktelen [127]

Answer:

44 hope it helps

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

How do i solve systems of equations by elimination?

Vera_Pavlovna [14]

Say you had this problem:

-4x - 2y= -12
4x +8y = -24

First you would have to cancel out one part of the equation to get on variable alone. In this case it's easy it would be -4x and 4x. So then you would cancel those out.

Now we have

-2y= -12
8y =-24

so then you just add them all up

6y=-36

Next you just divide both sides by 6
so then you answer for y would be -6.

Next you would choose one of your equations and plug the -6 in.

So it would be

-4x -2 (-6) =-24

So you would times negative 2 by negative 6, which would be positive 12. Since a negative times a negative equales a positive.

-4x + 12= -24

Next you would minus 12 on both sides.

-4x + 12=-24
- 12 = -12

The 12's would cancel out and then you just minus -24 by -12 which you would ended up just plusing them together because a negative plus a negative equales a negative. Or a negative minus a negative number would end up adding them up.

-4x= -36

Next you would get x alone and how you would do that is you would divide -4 in both sides which would cancel them -4 out then it would be divided by -36.

So it would look like this.

-4x= -36
-4 -4

So negative 36 divided by negative 4 is 9.

So your final answer would be

y= -6
x= 9

I hope I explained to you properly how to do systems of equations by elimination.

8 0

3 years ago

A random variable X has a mean of 10 and a standard deviation of 3. If 2 is added to each value of X, what will the new mean and

dlinn [17]

Answer:

New mean will be 12

And no change in standard deviation

Step-by-step explanation:

We know the relationship between the two mean and standard deviation

$\sigma=\frac{\sqrt{x-x_i}}^2{n}$

$\sigma=\text{standard deviation},x=mean,n=\text{number of observations}$

If we add 2 to each value of x that means the mean will become n will become 2n and since we are adding 2 to each value

The new mean will become 12

And there will be no change in the standard deviation because of equal change in the each data.

6 0

3 years ago

Make Sense and Preserve. Grade 9 Council is raising money for class dances by selling spirit T-

Ugo [173]

Answer:

4 dollars or 13 dollars

Step-by-step explanation:

Revenue is the income or increase in net assets that a commercial organization have as a result of offering services.

Revenue is the product of selling price per goods and the number of goods sold. That is:

Revenue = selling price per goods * number of goods sold

Given the revenue function:

R=-n² +17n +200; where n is the increase in the original price of T-shirt.

Since the council wants to make a revenue of $250, hence:

-n² +17n +200 = 250

-n² + 17n - 50 = 0

Solving using a calculator gives:

n = $4 or $13 (to the nearest whole number)

8 0

3 years ago

Find the value of x on both problems please help this is urgent and please show work

puteri [66]

Answer:

Step-by-step explanation:

1) the triangle is right, so we can use the Pythagorean theorem

x^2 + 24^2 = (16+x)^2

x^2 + 576 = x^2 + 256 + 32x

32x = 320

x = 10

2) the two segment are congruent, so

7x - 13 = 9x - 23

2x = 10

x = 5

5 0

3 years ago