Answer:
192 cm^3/min
Step-by-step explanation:
Differentiating the volume expression, we get ...
dV/dt = 2xh(dx/dt) +x^2(dh/dt)
We are given that ...
x = 4 cm, dx/dt = 2 cm/min, h = 15 cm, dh/dt = -3 cm/min
Putting these values into the formula for volume rate of change, we get ...
dV/dt = 2(4 cm)(15 cm)(2 cm/min) +(4 cm)^2(-3 cm/min)
= 240 cm^3/min -48 cm^3/min
dV/dt = 192 cm^3/min
Answer:
The perimeter of the drawing: 18 inches
The perimeter of the actual flower bed: 540 inches
If they were multiplied by 24 instead the actual perimeter of the flower bed would be 432 inches. The effect is that it decreases by 108 inches.
Step-by-step explanation:
Taking the 4 inches and 5 inches and multiplying them by 30 gets 120 by 150. If its a rectangle we will add together all 4 sides to get the perimeter of the actual one.
Answer: D. This was a random sample. It may have included anyone in attendance.
Step-by-step explanation:
The options are:
A. This was a biased sample. Jim should interview all in attendance.
B. This was a census. Any guest may have participated.
C. This was a random sample. It may not have included anyone in attendance.
D. This was a random sample. It may have included anyone in attendance.
A random sampling is simply referred to as a subset of individuals that are picked from a larger set of individuals.
With regards to the question, Jim wanted to find out what the audience thought about the debate and after the event, he stood at the exit to survey every fifth guest.
This means that it was a random sampling and anyone could have been picked, the sampling wasn't bias.
answer D
Step-by-step explanation:
Hello,
we can check the graph of the functions as attached or compute the vertex analytically
from the graph you can see that D is the correct answer