Step-by-step explanation:
a power supply, a load suited to the power supply, and wiring as a conductor
It depends on what you mean by the delimiting carats "^"...
Since you use parentheses appropriately in the answer choices, I'm going to go out on a limb here and assume something like "^x^" stands for

.
In that case, you want to find the antiderivative,

Complete the square in the denominator:

Now substitute

, so that

. Then

which simplifies to

Now, recall that

. But we want the substitution we made to be reversible, so that

which implies that

. (This is the range of the inverse sine function.)
Under these conditions, we have

, which lets us reduce

. Finally,

and back-substituting to get this in terms of

yields
As y varies directly with x, there is a proportionality constant. As x increases by that certain constant, y also increases. We equate:
y = kx
where k = proportionality constant.
Given the condition, y = 5 when x = 4, then we solve for k:
5 = k(4)
k = 5/4 or 1.25
When y = 8, then
8 = (5/4)(x)
x = 8/(5/4) = (8)(4/5) = 32/5 or 6.4 (ANSWER)
Answer:
The simplest way to teach middle school math scale drawings is to use real pictures to relate to each other to explain the concept. For example, scaling a red ball of 1" to a ball of 2" and so on. This will show how the ball increases by size by adding 1" each time.