About 84.82
Step-by-step explanation:
The formula to find the volume of a cone is pi*r^2*(h/3). The formula to find radius is diameter/2. 6/2=3. Since r=3 and h=9, pi*3^2*(9/3)=84.82
The generic equation for a linear function can be expressed in the slope intercept form f(x) = mx + b, where m is the slope and b is the y intercept. For this problem we can first find the equation of the line. Then we substitute x = 7 to get the f(x) value, which is n at the point x = 7.
To find the equation of the linear function we first find the slope. Slope is defined as the change in f(x) divided by the change in x. As we are given a linear function, the slope at every point is the same. We can pick any two points known to find the slope.
Let's pick (3, 7) and (9, 16). The slope m is m = (16-7)/(9-3) = 9/6 = 3/2.
Now that we have the slope, we can plug in the slope and one of the points to find b. Let's use the point (3, 7).
f(x) = mx + b
7 = (1/2)(3) + b
b = 11/2
Now we can write the equation
f(x) = (1/2)x + 11/2
Plugging in x = 7 we find that f(7) = 9. n = 9
Knowing the amount doubles every 30 days, we'll have to find how many times it'lll double in the 210-day time frame:
210 / 30 = 7
It doubles 7 times. If we were to write a rough, not worked on expresion representing that, knowing the starting population was of 20, we would write:
(((((((20 * 2) * 2) * 2) * 2) * 2) * 2) * 2) = 2560 rabbits
Hope it helped,
Happy homework/ study exam!
