1) The height of the cylinder is equal to the diameter of the sphere.
3) The radius of the sphere is half the height of the cylinder.
5) The volume of the sphere is two-thirds the volume of the cylinder.
Hope this helped! :)
(x - 3) + (x - 6) + x = 63
x - 3 + x - 6 + x = 63
Combine like terms
3x - 9 = 63
Isolate the constant
3x - 9 + 9 = 63 + 9
3x = 72
Isolate the viable
3x / 3 = 72 / 3
x = 24
Answer:
14.2604
Step-by-step explanation:
this is because 22% as a decimal would be 0.22, and since this is out of 64.82, you have to multiply 0.22 by 68.82
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Hope this helps <33
Answer:
5x-20
Step-by-step explanation:
since it says "product of 5 and x" we know that 5 and x is being multiplied
5x
since it says 20 less than we know that we need to subtract 20 from 5x
5x-20
Answer:
P(t) = 12e^1.3863k
Step-by-step explanation:
The general exponential equation is represented as;
P(t) = P0e^kt
P(t) is the population of the mice after t years
k is the constant
P0 is the initial population of the mice
t is the time in months
If after one month there are 48 population, then;
P(1) = P0e^k(1)
48 = P0e^k ...... 1
Also if after 2 months there are "192" mice, then;
192 = P0e^2k.... 2
Divide equation 2 by 1;
192/48 = P0e^2k/P0e^k
4 = e^2k-k
4 = e^k
Apply ln to both sides
ln4 = lne^k
k = ln4
k = 1.3863
Substitute e^k into equation 1 to get P0
From 1, 48 = P0e^k
48 = 4P0
P0 = 48/4
P0 = 12
Get the required equation by substituting k = 1.3863 and P0 = 12 into equation 1, we have;
P(t) = 12e^1.3863k
This gives the equation representing the scenario
