Answer:
<h2>x=25</h2>
Step-by-step explanation:
according to the question
the equation is
130+2x=180
2x=180-130
2x=50
x=25
Answer:
Overall rectangle: 100 ft × 8 16/23 ft ≈ 100 ft × 8.696 ft
Individual pen: 8 16/23 ft × 4 6/11 ft ≈ 8.696 ft × 4.545 ft
Step-by-step explanation:
Half the fence will be used in each of the orthogonal directions to make the pen. That is, the long side of the overall rectangle will be (400 ft/2)/2 = 100 ft. The short side of the overall rectangle will be (400 ft/2)/23 = 8 16/23 ft. (There are 21 partitions between the 22 pens, and 2 end fences, for a total of 23 fence segments of the short length.)
The long (100 ft) side of the overall rectangle is divided into 22 parts by the internal partitions, so each pen will have a short dimension of 100 ft/22 = 4 6/11 ft.
_____
We know half the fence will be used in each direction because we know the total area is a quadratic function of the side length. If the long side of the overall pen is x, then the short side is (400 ft -2x)/23, and the overall area is ...
... A = x(400 ft -2x)/23
The vertex of this quadratic function is halfway between the zeros, at x = 100 ft. That is, the two long sides of the pen total 200 ft, or half the overall length of fence.
We have to integrate the expression in order to find average rate of change.

Now


![\\ \sf\longmapsto \left[\dfrac{2x^2}{2}+x\right]^3_0](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20%5Cleft%5B%5Cdfrac%7B2x%5E2%7D%7B2%7D%2Bx%5Cright%5D%5E3_0)
![\\ \sf\longmapsto [x^2+x]^3_0](https://tex.z-dn.net/?f=%5C%5C%20%5Csf%5Clongmapsto%20%5Bx%5E2%2Bx%5D%5E3_0)



In getting the average of all the measurement you give you need first to sum all the measurements and also make sure that you do it properly. Then divide the sum with the number of measurements. By calculating the answer is 10.288
Answer:
The correct answer is: Option 3.
Step-by-step explanation:
To begin the problem asks to find
·
which can be defined as
. Now we are given that:

So now we need to 'multiply' our two algebraic expressions as follow:
Eqn.(1)
The domain of Eqn. (1) is all real numbers of
.
Which according to the given options , Option 3 is correct.