Answer:
<h2>V = 960 in³</h2>
Step-by-step explanation:
The formula of a volume of a cylinder:

r - radius
H - height
We have
r = 8 in
H = 15 in
Substitute:

7 x 6 = 7 x 4 = 28
/ \ = 7 x 2 = 14
4 2 + __
42
Answer:
y - 9 = -14 (x + 2)
Step-by-step explanation:
Point-slope form --> y - y1 = m ( x - x1)
slope = -14
y1 = 9
x1 = -2
Let's put the values all together:
y - 9 = -14 (x - - 2)
y - 9 = -14 (x + 2) ---> final answer
Answer:
about 15 hours
Step-by-step explanation:
You want to find t such that N(t)=200. Fill in the equation with that information and solve for t.
200 = 400/(1 +399e^(-0.4t))
1 +399e^(-0.4t) = 400/200 = 2 . . . . . multiply by (1+399e^(-0.4t))/200
399e^(-0.4t) = 1 . . . . . . . . . . . . . . . . . . subtract 1
e^(-0.4t) = 1/399 . . . . . . . . . . . . . . . . . .divide by 399
-0.4t = ln(1/399) . . . . . . . take the natural log
t = ln(399)/0.4 ≈ 14.972 . . . . . . . divide by -0.4, simplify
Rounded to tenths, it will take 15.0 hours for half the people to have heard the rumor.