To show this using exponential form, you need to understand that 12 feet will be multiplied by itself three times.
12 feet x 12 feet x 12 feet = 12^3 (or 12 cubed) ft.³
The point of interest is where the graphs cross.
(x, y) = (11, 5)
_____
Linear equations can be solved by any of a variety of methods. Using substitution for y, you have
.. 7x +3(27 -2x) = 92
.. x = 11 . . . . . . . . . . . . . collect terms, subtract 81
Then
.. y = 27 -2*11 = 5
Answer:
Is this multiple choice or do you have to do it on your own with your own answer?
Step-by-step explanation:
Answer:
The gold price increase from 1935, when President FDR raised gold value to $35 per ounce, compared to today's spot gold value of $1,335 represents an increase of approximately $3,700%.
Answer:
1. 
2. 
Step-by-step explanation:
Given that:
A very large tank initially contains 100 L of pure water.
Starting at time t = 0 a solution with a salt concentration of 0.8kg/L is added at a rate of 5L/min.
. The solution is kept thoroughly mixed and is drained from the tank at a rate of 3L/min.
As 5L/min is entering and 3L/min is drained out, there is a 2L increase per minute. Therefore, the amount of water at any given time t = (100 +2t) L
t = (50 + t ) L
Since it is given that we should consider y(t) to be the amount of salt (in kilograms) in the tank after t minutes.
Then , the differential equation that y satisfies can be computed as follows:




How much salt is in the tank after 40 minutes?
So,
suppose : 
Then ,


![[y\ (t + 50)^{1.5}]' = 4(t+ 50)^{1.5}](https://tex.z-dn.net/?f=%5By%5C%20%28t%20%2B%2050%29%5E%7B1.5%7D%5D%27%20%3D%204%28t%2B%2050%29%5E%7B1.5%7D)
Taking the integral on both sides; we have:
![[y(t + 50)^{1.5}] = 1.6 (t + 50)^{2.5} + C](https://tex.z-dn.net/?f=%5By%28t%20%2B%2050%29%5E%7B1.5%7D%5D%20%3D%201.6%20%28t%20%2B%2050%29%5E%7B2.5%7D%20%2B%20C)








