Step-by-step explanation:
answer is in photo above
Answer:
65 gallons per minute
Step-by-step explanation:
The total volume of the tank at any given time is given by the equation:
V(t) = 65t + 280
In order to find the rate of change of volume, we can simply differentiate this equation with respect to time. This will give us the rate of change of the volume or the rate at which water is being pumped into the tank.
Differentiating the above equation we get:
V'(t) = 65
So we can see that the rate at which water is being pumped into the tank is 65 gallons per minute
Answer:
Step-by-step explanation:
We are to find the equation a line that passes through the point (8, 1) and which is perpendicular to a line whose equation is
.
We know that the slope of line which is perpendicular to another line is the negative reciprocal of the slope of the other line so it will be 
.
Then, we will find the y-intercept of the line using the standard equation of a line:
Therefore, the equation of the line will be .
Answer:
16th term = 39.
Step-by-step explanation:
Plug 16 into the formula -6 + 3(n - 1):
A(16) = -6 + 3(16-1)
= - 6 + 3*15
= -6 + 45
= 39.
