Let x = the number of graduate students.
Let y = the number of undergraduate students.
x is 29000 fewer than y
x = y - 29000
Answer:
Divide 12 by 4 first to figure out how many gallons are in each 1/4 of the tank.
12/4=3
So if I added another 1/4 to the capacity:
It could hold 15 gallons.
All you have to do to find how many half bottles can be filled is to times 15 by two since we are filling half gallon bottles.
15x2=30
30 bottles.
Answer:
![Y'(t) = 0.025e^{-0.001t}](https://tex.z-dn.net/?f=Y%27%28t%29%20%3D%200.025e%5E%7B-0.001t%7D)
Step-by-step explanation:
The derivative of a constant multiplied by a function is the constant multiplied by the derivative of the function.
So
![(a*f(x))' = a*f'(x)](https://tex.z-dn.net/?f=%28a%2Af%28x%29%29%27%20%3D%20a%2Af%27%28x%29)
If we have an exponential function, in the following format:
![f(x) = e^{ax}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20e%5E%7Bax%7D)
The derivative is:
![f'(x) = a*e^{ax}](https://tex.z-dn.net/?f=f%27%28x%29%20%3D%20a%2Ae%5E%7Bax%7D)
In this problem, we have that:
![Y(t) = 25e^{-0.001t}](https://tex.z-dn.net/?f=Y%28t%29%20%3D%2025e%5E%7B-0.001t%7D)
The derivative is
![Y'(t) = -0.001*25e^{-0.001t} = 0.025e^{-0.001t}](https://tex.z-dn.net/?f=Y%27%28t%29%20%3D%20-0.001%2A25e%5E%7B-0.001t%7D%20%3D%200.025e%5E%7B-0.001t%7D)
#10
15(1/3y-3/5x-2/3y+4/15x)
Calculate
15(-y/3-x/3)
Write all numerator over common denominator
15(-y+x/3)
Multiply by reducing
-5(y+x)
Multiply parenthesis by -5
-5y-5x
#11
24(2/3y-3/4x-2/8y+5/6x)
Reduce fraction
24(2/3y-3/4x-1/4y+5/6x)
Calculate
24(5/12y+x/12)
Multiply parenthesis by 24
10y + 2x
Answer: HI!
Step-by-step explanation: