Answer:
The water level is dropping at a rate of 0.24 ft/s
Step-by-step explanation:
Here, we simply want to calculate the change in depth (height of the cone) , given the volume change
Mathematically, we have the volume of a cone as;
V = 1/3 * π * r^2 * h
we are given dv/dt as 12 ft^3/m
dv/dh = 1/3 * π * r^2
Substituting the value for the radius, we have
dv/dh = 1/3 * 22/7 * 4^2 = 50.29
dh/dt = dh/dv * dv/dt
dh/dv = 1/(dv/dh) = 1/50.29
Thus,
dh/dt = 1/50.29 * 12
dh/dt = 0.24 ft/s


side note: multiplying by the LCD of both sides is just to get rid of the denominators
Mary, Anne, and Rose decided to race their three pet snails, Anthony, James, and Thomas to see which was fastest. Anthony finished in 23.38 minutes. James finished in 23.65 minutes. Thomas finished in 23.13 minutes. Order the finish times from least amount of time to greatest to see which snail was the winner of this very intense and serious race.
23.12, 23.38, 23.65
Answer:
C. Lincoln Forest is at sea level
Step-by-step explanation:
Elevation above sea level is indicated for several points in the table
Positive number indicates points <u>above</u>, negative number indicates points <u>below</u>, zero elevation indicated points <u>at </u>sea level
So, the answer for Lincoln Forest is:
- C. Lincoln Forest is at sea level
<h2>
Answer:</h2>
There are 2 ways to solve this system: by elimination or by graphing. I will solve it by elimination. First will solve for x.

Now we will solve for y using what we got for x.

Solution:
A: 