You would need to go in the order of pemdas
<h2>
Option B is the correct answer.</h2>
Step-by-step explanation:
We need to find average value of
in [2,4]
Area of
in [2,4] is given by
![\int_{2}^{4}e^{2x}dx=\frac{1}{2}\times \left [ e^{2x}\right ]^4_2\\\\\int_{2}^{4}e^{2x}dx=\frac{1}{2}\times(e^8-e^4)=1463.18](https://tex.z-dn.net/?f=%5Cint_%7B2%7D%5E%7B4%7De%5E%7B2x%7Ddx%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%5Cleft%20%5B%20e%5E%7B2x%7D%5Cright%20%5D%5E4_2%5C%5C%5C%5C%5Cint_%7B2%7D%5E%7B4%7De%5E%7B2x%7Ddx%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%28e%5E8-e%5E4%29%3D1463.18)
Area of
in [2,4] = 1463.18
Difference = 4 - 2 = 2
Average value = Area of
in [2,4] ÷ Difference
Average value = 1463.18 ÷ 2
Average value = 731.59
Option B is the correct answer.
<h2>
Greetings!</h2>
Answer:
Area is 147.74
Step-by-step explanation:
You need to recall that the equation for the area of a rectangle is:
Length * Width = area
So 16 3/5 * 8 9/10 = area
Rearrange so the whole numbers are being multiplied and the fractions are too:
We need to make the denominator same, this can be done by simply multiplying 3/5 by 2:
3/5 * 2 = 6/10
Now the two numbers can be written as 16.6 and 8.9.
Multiply both numbers by 10:
166 * 89 = 14774
Then divide this by 100 (two lots of division by 10)
14774 ÷ 1000 = 147.74
So the area of the rectangle is 147.74!
<h2>Hope this helps!</h2>