Answer:
904.778 in.
Step-by-step explanation:
Formula for volume of sphere:
4/3×(3.1426)×(radius)^3
=904.778 inches
Answer:
Convert into same base
Step-by-step explanation:
Convert both sides into same bases and equate the powers to solve for the variable.
Example:
8^x = 32
You can either use logs to bring the power down or convert both sides into the same base
8 = 2³
8^x = (2³)^x = 2^(3x)
32 = 2⁵
2^(3x) = 2⁵
3x = 5
x = 5/3
x = 1⅔
Answer:
Step-by-step explanation:
we are given a quadratic function
we want to figure out the minimum value of the function
to do so we need to figure out the minimum value of x in the case we can consider the following formula:
the given function is in the standard form i.e
so we acquire:
thus substitute:
simplify multiplication:
simply division:
plug in the value of minimum x to the given function:
simplify square:
simplify multiplication:
simplify:
hence,
the minimum value of the function is -155
Answer:
n=-2
Step-by-step explanation:
-6n-2n=16
-8n=16
n=16/-8
n=-2
P=2(l+w)
Substitute width plus 3 for length
Remember order of operations: multiply before adding
86=2((w+3) + w)
86=2w+6+2w
86=4w+6
80=4w
20=w
23=w+3=l
Check the answer
86=2((w+3) + w)
86=2((20+3)+20
86=2(23+20)
86=46+40
86=86
