Answer:
35
Step-by-step explanation:
35
Answer:
Step-by-step explanation:
This is a differential equation problem most easily solved with an exponential decay equation of the form
. We know that the initial amount of salt in the tank is 28 pounds, so
C = 28. Now we just need to find k.
The concentration of salt changes as the pure water flows in and the salt water flows out. So the change in concentration, where y is the concentration of salt in the tank, is
. Thus, the change in the concentration of salt is found in
inflow of salt - outflow of salt
Pure water, what is flowing into the tank, has no salt in it at all; and since we don't know how much salt is leaving (our unknown, basically), the outflow at 3 gal/min is 3 times the amount of salt leaving out of the 400 gallons of salt water at time t:

Therefore,
or just
and in terms of time,

Thus, our equation is
and filling in 16 for the number of minutes in t:
y = 24.834 pounds of salt
The correct answer is 64 square units.
The area of the complete shape would be 100 square inches.
10 x 10 = 100
However, we have to remove the 4 corners. Each of the corners is 9 square inches. 3 x 3 = 9
100 - 4(9) = 64
Answer:
20×(5×(-16) = (20×5)×(-16)
Step-by-step explanation:
They both equal -1600