Answer:
![F)\displaystyle \: 100\pi{ x}^{8} {y}^{2} {z}^{ 6}](https://tex.z-dn.net/?f=%20F%29%5Cdisplaystyle%20%5C%3A%20%20100%5Cpi%7B%20x%7D%5E%7B8%7D%20%7By%7D%5E%7B2%7D%20%20%7Bz%7D%5E%7B%206%7D%20)
Step-by-step explanation:
we are given r and the formula
we want to find the surface area of the shpare with the given r
to do so
we need our algebra skills
substitute the value of r:
![\displaystyle \: S = 4\pi( {5x}^{4} y {z}^{ 3} {)}^{2}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5C%3A%20S%20%3D%204%5Cpi%28%20%7B5x%7D%5E%7B4%7D%20y%20%7Bz%7D%5E%7B%203%7D%20%7B%29%7D%5E%7B2%7D%20)
recall law of exponent
![\displaystyle \: ({x}^{m} {)}^{n} \iff \: {x}^{mn}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5C%3A%20%20%28%7Bx%7D%5E%7Bm%7D%20%20%7B%29%7D%5E%7Bn%7D%20%20%5Ciff%20%5C%3A%20%20%7Bx%7D%5E%7Bmn%7D%20)
to simplify:
![\displaystyle \: S = 4\pi({ {5}^{2} x}^{4 \times 2} {y}^{1 \times 2} {z}^{ 3 \times 2} )](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5C%3A%20S%20%3D%204%5Cpi%28%7B%20%7B5%7D%5E%7B2%7D%20x%7D%5E%7B4%20%5Ctimes%202%7D%20%7By%7D%5E%7B1%20%5Ctimes%202%7D%20%20%7Bz%7D%5E%7B%203%20%5Ctimes%202%7D%20%29)
simplify multiplication:
![\displaystyle \: S = 4\pi({ 25x}^{8} {y}^{2} {z}^{ 6} )](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5C%3A%20S%20%3D%204%5Cpi%28%7B%2025x%7D%5E%7B8%7D%20%7By%7D%5E%7B2%7D%20%20%7Bz%7D%5E%7B%206%7D%20%29)
distribute:
![\displaystyle \: S = 100\pi{ x}^{8} {y}^{2} {z}^{ 6}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5C%3A%20S%20%3D%20100%5Cpi%7B%20x%7D%5E%7B8%7D%20%7By%7D%5E%7B2%7D%20%20%7Bz%7D%5E%7B%206%7D%20)
hence our answer is F
Answer:15
Step-by-step explanation:
Adding or subtracting a constant from each value of a distribution changes the mean, but not the standard deviation.
The standard deviation will equal 3.
7:50 am
60 minutes before 8:40 would be 7:40 so 10 minutes after that would be 7:50
Answer:
it would be in the 100eds place
Step-by-step explanation: