Answer:
Step-by-step explanation:
Amount of brine = 100 gal
amount of salt = 80 lb
rate of water running = 4 gal / min
Let A be the amount of salt in lb in the tank at any time t.
(a) dA/dt = rate of salt in - rate of salt out
Rate of salt in = 0
rate of salt out = A x 4 / 100 = A / 25 lb/min
So, dA/dt = 0 - A/25 = - A/25 lb/min



When t = 0, A = 80 lb
So,

(b) Now, A = 40 lb
So,


take log on both the sides

t = 17.3 minutes
Answer:
-3
Step-by-step explanation:
consider f(x)=y
y=-3x+7
compare with y=mx+c
slope m=-3
Answer:
n = 17

Step-by-step explanation:

n · 170 = 34 · 85
170y = 2890
170y ÷ 170 = 2890 ÷ 170
y = 17
Answer:
1,516 pounds
Step-by-step explanation:
Gorilla A weighed = 559 pounds Gorilla B weighed = 827 pounds Gorilla C weighed = 130 pounds
Total weight of the gorillas = gorilla A + gorilla B + gorilla C
= 559 pounds + 827 pounds + 130 pounds
= 1,516 pounds
Total weight of the gorillas = 1,516 pounds
Answer:
See below:
Step-by-step explanation:
1. b
2. x=-2
3. b
4. (-7, 3)
5. (-2, 2)(1, -1)(3, 1)(2,4)