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I was expecting problems, RP...but I see that they are just questions

√ [ 250x^16 ]  / √ [2x ]  =

√  [  ( 250x^16) / ( 2x) ]  =

√ [ 125 x^15 ]  =

√25*√5 * √x^14 * √ x   =

5 * √5  * x^7 * √x   =

5x^7 √ [  5x ]

The second is just like  having  3x  -  6x  =  - 3x

So we have

3³√[2a ]  - 6³√ [2a ]  =   -3³√[2a ]

question1:

3√(x+2)^3=27-3

3√(x+2)^3 =24

√(x+2)^3=24/3

√(x+2)^3=8

(x+2)^3=8^5

(x+2)^3=32768

(x+2)=cube root of 32768

x+2=32

x=32-2

x=30

Good answers,  guys  !!!!

OK...I see ...there are no  "problems" here

RP's answer to the first one is correct  !!!

For the second

No.....the inverse of a function is not always a function.......for instance...the inverse of 

y  = x^2   is      f ^-1(x)  =  ±√x

This does not pass the vertical line test....so it will not be a function

13. Like radicals are radicals that have the same root number and radicand. 

Not sure I can help with #14

√ [ 7x ] ( √x  - 7√7 )  =

(We are just using the distributive property here, like normal )

√ [7x] * √x    -    √ [7x] *  7√ 7  =

√ [ 7 * x^2 ]   -   7√ [  7x * 7 ]  =

x√ 7  -  7 √  [49 x ]   =

x √7  -  7 * 7√ x  =

x√7  -  49√x

wooo awesome!

The formula for volume of a cylinder is:

\(\Pi r^2h\)

Plug in numbers:

\(\Pi 2^25\)

The radius is half the diameter.

Now 2^2= 4

4*5=20

20*3.14=62.8

62.8 rounded to the nearest whole number is:

63

Correct, RP  !!!!!

Thank you

Mmmmm.....these aren't showing up for me.....

Nothing shows up for me, NSS !!!

OK  !!!!

63 in³

Thank you ^-^ I ended up getting the answer.

Can't use the tangent here

We know the side adjacent to the 28° angle  and we are trying to find the side opposite the right angle (the hypotenuse )

And the trig function that relates the adjacent  side and the hypotenuse is the cosine

cos (angle measure )  =  adjacent / hypotenuse

oos ( 28° )  =  11 / x      multiply both sides by x

x cos (28°)  = 11      divide both sides by cos (28°)

x   =  11 / cos (28° )  =  12.46

cylinder volume = area x height     area = pi x r^2      r = 1/2 diameter

3.14 x   2^2   x  5  

3.14 x 4 x 5

3.14 x 20    units^3

62.8 units^3

So it would be 12.5?

COS (28) = 11/x    Adjacent/hypotenuse

So..? Lol I'd rather there be a best answer on each of my posts. Thank you very much ^-^

HAHAHA!!!...I didn't actually answer it....I just confirmed your correct answer.....  

Thank you, please make yourself the best answer. I like doing that for the first person that posts (if they are right that is)