Answer:
dh/dt ≈ 0.55 ft/min
Step-by-step explanation:
The volume is given by the formula ...
V = (1/3)πr²h
We have r = h/2, so the volume as a function of height is ...
V = (1/3)π(h/2)²h = (π/12)h³
Then the rates of change are related by ...
dV/dt = (π/4)h²·dh/dt
dh/dt = (4·dV/dt)/(πh²) = 4(35 ft³/min)/(π(9 ft)²)
dh/dt ≈ 0.55 ft/min
Answer:
There are 24 girls.
Step-by-step explanation:
56 total students divided into 7 parts (4 parts boys and 3 parts girls) is 8.
8 times 3(ratio of girls) is equal to 24.
Answer:
Step-by-step explanation:
This quadratic is of the form
where h and k are the coordinates of the vertex. Notice that inside the parenthesis it very specifically follows the format (<u>x -</u> h)². That means that if you have something like what we have here, ( x + 3)^2, it was originally (x - (-3))^2, and the value for h is -3. k is much simpler to determine. Our 2 at the end is a +2, so the k is 2. The vertex then is (-3, 2).
Answer:
Yes it should continue to be used.
Step-by-step explanation:
In the course without the instructional software the percentage of students that left withdrew from the class before the semester ended was 24% and with the instructional software that was designed to help student involvement the withdrawal was 20.92% so the software should be used in future semesters and continue to be modified to better that rate.
THe percentage is calculated by diving the number of students that withdrew by the total of the students that took the course and then multiplying the result by 100:
129/10 is your answer. 12 9/10 is this simplified
