Answer:
- A(0) = 2; A'(t) = 6 - 0.08A(t)
- A(∞) = 75
Step-by-step explanation:
The initial value is said to be 2 pounds, so A(0) = 2.
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The influx is (1.5 #/gal)×(4 gal/min) = 6.0 #/min.
The outflow is (4 gal)/(50 gal) × A(t) = 0.08A(t).
The rate of change of A(t) is then ...
A'(t) = 6 - 0.08A(t)
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When the system reaches steady state, A'(t) = 0, so ...
0 = 6 - 0.08A(∞)
A(∞) = 6/0.08 = 75
75 pounds of salt will be in the tank after a long period.
Answer:
s = 21.16
Step-by-step explanation:
0.5s +1= 7+ 4.58
Combine like terms
0.5s +1=11.58
Subtract 1 from each side
0.5s +1-1= 11.58-1
.5s = 10.58
Multiply by 2
.5s *2 = 10.58*2
s = 21.16
Answer:
the ratio of black mice*
Step-by-step explanation:
Answer:
67
Step-by-step explanation:
0.71=71%.
2/100+2/100=4/100/4%
So we can subtract 71-4=67.
That tells us that the missing number is 67. Add it all up and you will get 0.71 or 71%
Answer: angle B= 54 degrees, a=6, b=8
Step-by-step explanation:
Add the two angles we have to get 126 degrees. Subtract that from 180 degrees to get 54 degrees.
We don't know enough to say which is which for a and b, but we can know that it is 6 and 8 because of pythagorean triples (3,4,5).
