Answer:
The scale factor is 
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
so
Let
z----> the scale factor
x----> volume of solid B
y ----> volume of solid A

we have


substitute

![z=\sqrt[3]{\frac{500}{171.5}}=1.429](https://tex.z-dn.net/?f=z%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B500%7D%7B171.5%7D%7D%3D1.429)
Answer:
Mike is not right
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its surface areas is equal to the scale factor squared
Let
z----> the scale factor
x----> surface area of the enlarged rectangular prism
y-----> surface area of the original rectangular prism

so
In this problem we have

substitute



so
The surface area of the enlarged rectangular prism is 4 times the surface area of the original rectangular prism
therefore
Mike is not right
<em>Verify with an example</em>
we have a rectangular prism



The surface area of the prism is equal to

substitute the values

If he doubles each dimension of any rectangular prism
then
the new dimensions will be



The new surface area will be


therefore
The surface area of the enlarged rectangular prism is 4 times the surface area of the original rectangular prism
Answer:
3/x^2 or 3x^-2
54x^5
x^-1/3
Step-by-step explanation:
2 6x^3×9x^2=54x^3+2=54x^5
3 x^2/3 × x^-1=x^-1/3
Answer:
22 points higher
Step-by-step explanation:
111-89=22 so the difference between the scores is 22 points! Good luck!