Answer:
Explanatory Variable
Step-by-step explanation:
The variable that we can change is called the Explanatory variable.
The response variable dependent upon the explanatory variable, as we change the value of the explanatory variable the value of the response variable is also gets changed.
The number of years smoking a cigarette is in our control so it is an explanatory variable.
and, the impact of the number of years smoking a cigarette is directly on lung capacity, so it is Response variable.
This is a problem of maxima and minima using derivative.
In the figure shown below we have the representation of this problem, so we know that the base of this bin is square. We also know that there are four square rectangles sides. This bin is a cube, therefore the volume is:
V = length x width x height
That is:

We also know that the <span>bin is constructed from 48 square feet of sheet metal, s</span>o:
Surface area of the square base =

Surface area of the rectangular sides =

Therefore, the total area of the cube is:

Isolating the variable y in terms of x:

Substituting this value in V:

Getting the derivative and finding the maxima. This happens when the derivative is equal to zero:

Solving for x:

Solving for y:

Then, <span>the dimensions of the largest volume of such a bin is:
</span>
Length = 4 ftWidth = 4 ftHeight = 2 ftAnd its volume is:
Answer:
AD
Step-by-step explanation:
AxD= AD
Answer:
137
Step-by-step explanation:
First start with what you know. The measure of the interior angles of a triangle total to
so 51 + 2x + x = 180, then 51 + 3x = 180, 3x = 129, so
x = 43, the exterior angle is on a straight line with x so
x + exterior angle = 180 [since they are supplementary], since x = 43 then
43 + e = 180, so e has to be 137
-36 divided by 9 plus -5 minus 6 is equal to -15