increase in x results in the decrease in y
Yes, because when you multiply 440,000 times 10 you would get 4,400,000. The 4 represents where the 1 is at right now! Therefore, the answer is yes.
First, substitute the given radius and given height of the cone into the formula for the volume of a cone.
Volume of a cone: (1/3) pi r^2 h
In this case, the cone volume is (1/3) pi (12 cm)^2 (12 cm) = 576 cm^3
Vol. of a rt. cylinder: pi r^2 h
In this case, the vol. of the rt. cyl. is pi (8 cm)^2 h.
The two different shapes have the same volume. Therefore, set the two formulas (above) equal to each other:
576 pi cm^3 = pi (8cm)^2 h. This becomes
576 pi cm^3 = pi (64 cm^2) h. "pi" cancels out, leaving us with
576 cm^3
------------- = h. This is the height of the cylinder, in cm.
64 cm^2
Answer:
C. The given function is continuous at x=4 because the limit is 2.
Step-by-step explanation:
Given the function:
We are to determine if the function is continuous at x=4.
For a function to be continuous at some value c in its domain:
must exist.
Now: at x=4
Since the two values are the same, we say that f(x) is continuous at x=4.
The correct option is C.
Hehebegwv sorryhdhd emwbehw Evers eve
