<u>Given</u>:
Given that the diameter of the hemisphere is 48 inches.
We need to determine the volume of the hemisphere.
<u>Radius:</u>
The radius of the hemisphere can be determined using the formula,
Substituting d = 48, we get;
Thus, the radius of the hemisphere is 24 inches.
<u>Volume of the hemisphere:</u>
The volume of the hemisphere can be determined using the formula,
Substituting r = 24, we get;
Thus, the volume of the hemisphere is 9216π cubic inches.
Answer:
y=4x+9
Step-by-step explanation:
replace m with 4, which is the slope you gave, and
replace b with 9, the y-intercept you gave,
in the equation y=mx+b.
Answer:
Step-by-step explanation:
Here we want to present growth as a function of time; the growth depends upon the number of days that go by. So, growth(y) is the dependent variable and time (in days, x) is the independent variable.
An exponential or geometric function can be expressed as a power of t, where t is time.
This means that if you can fit all three values into the formula
S = S0 * (1+r)^t
for a constant r, and t=1, 2, 3 (or 0, 1, 2 for simplicity), then it's exponential.
You can see right away that the first and second sets of numbers are not exponential. These are linear, because each month is a fixed value greater than the previous one.
If you look at the formula above, you can see that each successive time interval's growth can be calculated by multiplying a fixed value to the previous intervals. For example, the second month is given by:
S(1) = S0 * (1+r)
S(2) = S0 * (1+r)^2 = S0 * (1+r) * (1+r) = S(1) * (1+r)
Since each month's sales is 102% the previous month's in the fourth set, this is the one you want.
we know that
the equation of a circle with the center at the origin is equal to
step 1
with the point (3,0) find the value of the radius
substitute the values of
in the equation of the circle above
so
step 2
with the radius find the area of the circle
area of the circle is equal to
for 
units²
therefore
the answer is
the area of the circle to the nearest hundredth is units²
