<u> </u><u>48 square inches per inch </u><u> is the average rate of change in surface </u><u>area</u><u>.</u>
What is an area in math?
The area is the region bounded by the shape of an object. The space covered by the figure or any two-dimensional geometric shape, in a plane, is the area of the shape.
The surface area of a cube of side length e is:
A(e) = 6 *e².
The rate of change is:
A'(e) = 2 * 6 * e
The average rate of change between 3 in and 5 in is:
r = (A(5in) + A(3in))/2 = (2*6*5in + 2*6*3in)/2 = 48in
Now, the options are given in:
"squere inches per inch"
This is written as:
in^2/in = in.
Then we can write our above rate as:
r = 48in = 48in^2/in = 48 square inches per inch.
Learn more about area
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Answer:
Correct choice is C
Step-by-step explanation:
The i-th term of the binomial expansion is
If i=7, then
Note that
This whole ugly thing is just 6 numbers that are all multiplied.
Here they are:
(-7) · (x⁶) · (y⁻³) · (5) · (x⁻¹) · (y) .
To help you see what's going on, I'm going to rearrange them
and write them in a different order. (You'll remember that when
you multiply, the order of the numbers doesn't matter.)
(-7)·(5) · (x⁶)·(x⁻¹) · (y⁻³)·(y) .
I'll bet you can see it already. It's really starting to fall apart.
Remember that when you have to multiply the same base to
different powers, you just add the powers.
So here's the multiplication:
(-7)·(5) · (x⁶)·(x⁻¹) · (y⁻³)·(y) .
| | |
-35 · x⁵ · y⁻²
-35 x⁵ y⁻²
or you could write it as -35x⁵ / y² which is the same thing.
7/33 is ≈ 21.21/100, or 0.2121 / 1
Answer:
area = 41 ft²
Step-by-step explanation:
area = (3x3) + (4x8) = 41 ft²