Answer:
Step-by-step explanation:
Given that a large mixing tank initially holds 400 gallons of water in which 70 pounds of salt have been dissolved. Pure water is pumped into the tank at a rate of 4 gal/min, and when the solution is well stirred, it is then pumped out at the same rate.
Let Q(t) be the quantity of salt at time t.
Q(0) = 70 pounds
Inflow of water = outflow = 4 gal/min
So resulting volume of tank at time t = 400 gallons
Rate of change of salt = inflow - outflow
= 0 - 
i.e. 
This is a variable separable equation
Use when t =0 Q = 70
A =70
So A(t) = Q(t) = 
and
A(0) = Q(0) = 70 lbs.
The answer is D :) II hope that this helps and if you need a bigger description I can help
Answer:
C.
Step-by-step explanation:
y = 1/ x must pass through the origin because when x = 0, y = 0.
So its either B or C.
A positive slope rises to the right ( 1/2 is positive), so its C.
You can also see that the slope of C is 1/2 because it passes through the points (0.0) and (2, 1).
Answer:
9765625
Step-by-step explanation:
There is a common ratio between consecutive terms , that is
r = 25 ÷ 5 = 125 ÷ 25 = 5
This indicates the sequence is geometric with n th term
= a₁
where a₁ is the first term and r the common ratio
Here a₁ = 5 and r = 5 , then
a₁₀ = 5 × 
= 5 × 1953125 = 9765625
Area = l * w
A = 10 1/2 * 12 5/8
A = 21/2 * 101/8 = 2121/16
A = 132.56 ft²
