Answer:
b x h / 2
Step-by-step explanation:
Hey there!
Okay let's get cracking :D
The equation is.... (2x/3) - 6 = 9
2x/3 = 15
2x = 45
<u>x = 22.5</u><u /> <----- And that is your answer!
I hope it helped!
<u>Please vote for me as Brainliest if there is a second answer!</u>
Since
, we can rewrite the integral as

Now there is no ambiguity about the definition of f(t), because in each integral we are integrating a single part of its piecewise definition:

Both integrals are quite immediate: you only need to use the power rule

to get
![\displaystyle \int_0^11-3t^2\;dt = \left[t-t^3\right]_0^1,\quad \int_1^4 2t\; dt = \left[t^2\right]_1^4](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cint_0%5E11-3t%5E2%5C%3Bdt%20%3D%20%5Cleft%5Bt-t%5E3%5Cright%5D_0%5E1%2C%5Cquad%20%5Cint_1%5E4%202t%5C%3B%20dt%20%3D%20%5Cleft%5Bt%5E2%5Cright%5D_1%5E4)
Now we only need to evaluate the antiderivatives:
![\left[t-t^3\right]_0^1 = 1-1^3=0,\quad \left[t^2\right]_1^4 = 4^2-1^2=15](https://tex.z-dn.net/?f=%5Cleft%5Bt-t%5E3%5Cright%5D_0%5E1%20%3D%201-1%5E3%3D0%2C%5Cquad%20%5Cleft%5Bt%5E2%5Cright%5D_1%5E4%20%3D%204%5E2-1%5E2%3D15)
So, the final answer is 15.
Answer:
<u>(2) x </u>
<u> 4</u>
Step-by-step explanation:
Given the sqrt(x), x
zero
So, given sqrt(x -4), x -4
0
Now solve for x
x - 4
0
x
4
Answer: 26 13/30 feet
Step-by-step explanation:
The hall is in the shape of a rectangle. The perimeter of a rectangle is:
= 2(length + width)
= 2l + 2w
Since perimeter = 71 2/3 ft and Width = 9 2/5 ft wide, the length will be calculated thus:
Perimeter = 2l + 2w
71⅔ = 2l + 2(9 2/5)
71 2/3 = 2l + (2 × 47/5)
71 2/3 = 2l + 94/5
71 2/3 = 2l + 18 4/5
Collect like terms
2l = 71 2/3 - 18 4/5
2l = 71 10/15 - 18 12/15
2l = 52 13/15
l = (52 13/15 ÷ 2)
l = 793/15 × 1/2
l = 793/30
l = 26 13/30
Therefore, the length is 26 13/30ft