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Answer:
7.92 years
Step-by-step explanation:
We want to find t such that ...
3 = 2^(t/5)
where 2^(t/5) is the annual multiplier when doubling time is 5 years.
Taking logs, we have ...
log(3) = (t/5)log(2)
t = 5·log(3)/log(2) ≈ 7.92 . . . years
It will take about 7.92 years for the population to triple.
The answer is -6x^2 + 7x, or answer choice A.
Answer:

Step-by-step explanation:
step 1
Find the volume of the cylinder
The volume of the cylinder is equal to

we have
---> the radius is half the diameter

substitute

step 2
Find the volume of the cone
The volume of the cone is equal to

we have
we have
---> the radius is the same that the radius of the cylinder

substitute

step 3
Find the volume of the plastic object
we know that
The volume of the plastic object is equal to the volume of the cylinder minus the volume of the cone
so

assume


Answer:
x>-2
Step-by-step explanation:
3(x + 4) > 4 - X
Distribute
3x+12> 4-x
Add x to each side
3x+12+x > 4-x+x
4x+12 > 4
Subtract 12 from each side
4x+12-12>4-12
4x> -8
Divide each side by 4
4x/4 > -8/4
x>-2