Answer:
12π
Step-by-step explanation:
Volume of the cone is πr^2 * h / 3
r = 3
h = 4
9π * 4 / 3 = 12π
This is a geometric sequence, so use the formula for the sum of a geometric sequence:
Sum = (a(r^n - 1))/(r - 1)
where a is the first term, -5
r is the common ratio, 5
and n is the number of terms
Thus,
Sum = ((-5)(5^6 - 1))/(5-1) = -19530
Yes because they both have the same degrees, but one is slightly rotated
Answer:
8 x + 25y ≥100
x+y ≤ 14
Step-by-step explanation:
Hi, to answer this question we to write a system of inequalities.
First inequality:
The product of the earnings per hour working at culvers (8) and the number of hours worked there, plus the product of the earnings per hour mowing lawns (8) and the number of hours mowing must be greater or equal to $100.
Second inequality:
The amount of time he works at culvers (x) plus the amount of time he works mowing lawn (y) must be less or equal to 14 hours.
8 x + 25y ≥100
x+y ≤ 14
Where:
x = number of hours worked at Culvers
y= number of hours worked Mowing lawns
