Answer:
<em>The volume of the cube is </em>
<em>cu in.</em>
Step-by-step explanation:
<u>The Volume of a Cube</u>
Let's have a cube of side length a. The volume of the cube is:
![V=a^3](https://tex.z-dn.net/?f=V%3Da%5E3)
The cube of the image has a side length of
![\displaystyle a=\frac{3x^{-3}}{z}\ inches](https://tex.z-dn.net/?f=%5Cdisplaystyle%20a%3D%5Cfrac%7B3x%5E%7B-3%7D%7D%7Bz%7D%5C%20inches)
Simplifying the expression of the base by converting the negative exponent in the numerator to the denominator:
![\displaystyle a=\frac{3}{zx^{3}}\ inches](https://tex.z-dn.net/?f=%5Cdisplaystyle%20a%3D%5Cfrac%7B3%7D%7Bzx%5E%7B3%7D%7D%5C%20inches)
Now find the volume:
![\displaystyle V=\left(\frac{3}{zx^{3}}\ inches\right)^3](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%3D%5Cleft%28%5Cfrac%7B3%7D%7Bzx%5E%7B3%7D%7D%5C%20inches%5Cright%29%5E3)
Applying the exponents:
![\displaystyle V=\frac{3^3}{z^3x^{9}}\ inches^3](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%3D%5Cfrac%7B3%5E3%7D%7Bz%5E3x%5E%7B9%7D%7D%5C%20inches%5E3)
![\displaystyle V=\frac{27}{z^3x^{9}}\ inches^3](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%3D%5Cfrac%7B27%7D%7Bz%5E3x%5E%7B9%7D%7D%5C%20inches%5E3)
The volume of the cube is
cu in.
Answer:
Part A= 315
Part B= Saturday and Sunday
Step-by-step explanation:
A function is something that lets you work out what something is depending a variable
e.g: x = y + 5
this function states that the unknown x is equal to whatever the variable y is plus 5
Answer:
t=-5
Step-by-step explanation:
-3=3t+4
-1=t+4
-5=t