The given expression is

We can write 8 as cube of 2, 16 ad fourth power of 2, 12 as square of 2 times 3 and 81 as fourth power of 3, that is

In case of two powers, we have to multiply them.

Simplifying the exponent, will give

Combining like terms,

Answer:
h = 6
Step-by-step explanation:
Equation:
15 + 25h = 165
Subtract 15 from both sides
25h = 150
Divide both sides by 25
h = 6
So 6 hours
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The amount increased 4% from last year.
Step-by-step explanation:
Given,
Average cost last year = $625
Average cost this year = $650
Increase amount = Average cost last year - Average cost this year
Increase amount = 650 - 625 = $25
Percent increase = 

The amount increased 4% from last year.
Keywords: percentages, subtraction
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Answer:
Step-by-step explanation:
o.67891
Answer:
The depth of the reflector is 0.84 feet
Step-by-step explanation:
<em>(See the figure below)</em>
The equation of a parabola centered at the origin with an axis of symmetry on y-axis is:
(1)
With p the distance from the origin to the focus using p=6, the equation (1) of the parabola becomes:
(2)
Note that the point B is on the parabola, so this point should satisfy the parabola equation (2) that allow us to use the value x=4.5 to find the y value associated to it, that it is the depth (h) of the reflector:
, solving for y
