Answer:
y = -1/2
Step-by-step explanation:
5^3 = (5^-2)^y-1
3 = -2(y-1)
3 = -2y + 2
1 = -2y
y = -1/2
The formula for volume of a sphere is V = 4
/3 x π x r3 (cubed).
The original radius of the balloon is 10 ft, so when we plug that value into the equation we get 4188.79. When the balloon deflated, the new radius was 5 ft, so the new volume is 523.6. The question asks how much volume was lost, so we need to subtract 4188.79 - 523.6 and get approximately 3665.
Hope this helps! I hate taking usa test prep quizzes too haha.
Answer: <em>D</em>
Step-by-step explanation:
<em>Since < this has a line under it, it becomes a closed circle</em>
<em>And we can now assume the direction it is pointing in is left. </em>
<h3>
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>
➷ We know this:
3/7 = 27
You need to find the value of 1/7
To do this, divide by 3
27/3 = 9
1/7 = 9
Multiply this by 7 to get the total number of balls:
9 x 7 = 63
There are 63 balls.
<h3><u>
✽</u></h3>
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
Answer:
Yes, he will have enough 3 over 8 ft pieces for his class.
Step-by-step explanation:
Given:
Number of wood required = 22
Length of each wood, ![l=\frac{3}{8}\textrm{ ft}](https://tex.z-dn.net/?f=l%3D%5Cfrac%7B3%7D%7B8%7D%5Ctextrm%7B%20ft%7D)
Total length of the board, ![L=9\textrm{ ft}](https://tex.z-dn.net/?f=L%3D9%5Ctextrm%7B%20ft%7D)
Therefore, the number of woods that can be made using the given board is given as:
![\textrm{Number of woods made}=\frac{\textrm{Total length of board}}{\textrm{Length of each wood}}\\\textrm{Number of woods made}=\frac{L}{l}=\frac{9}{\frac{3}{8}}=9\times \frac{8}{3}=\frac{72}{3}=24](https://tex.z-dn.net/?f=%5Ctextrm%7BNumber%20of%20woods%20made%7D%3D%5Cfrac%7B%5Ctextrm%7BTotal%20length%20of%20board%7D%7D%7B%5Ctextrm%7BLength%20of%20each%20wood%7D%7D%5C%5C%5Ctextrm%7BNumber%20of%20woods%20made%7D%3D%5Cfrac%7BL%7D%7Bl%7D%3D%5Cfrac%7B9%7D%7B%5Cfrac%7B3%7D%7B8%7D%7D%3D9%5Ctimes%20%5Cfrac%7B8%7D%7B3%7D%3D%5Cfrac%7B72%7D%7B3%7D%3D24)
So, he can make 24 woods of length
using the 9 ft board. But he has to make only 22 pieces.
Therefore, he has enough of the wood to make the required number of pieces.