Michelle(1)+bros(2)+sisters(3)+mom(1)+Pop(1)=8
3/4 of 8 = 6
So, 6 people in Michelle's family like to go swimming
If you're using the app, try seeing this answer through your browser: brainly.com/question/2867785_______________
Evaluate the indefinite integral:

Make a trigonometric substitution:

so the integral (i) becomes


Now, substitute back for t = arcsin(x²), and you finally get the result:

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You could also make
x² = cos t
and you would get this expression for the integral:

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which is fine, because those two functions have the same derivative, as the difference between them is a constant:
![\mathsf{\dfrac{1}{2}\,arcsin(x^2)-\left(-\dfrac{1}{2}\,arccos(x^2)\right)}\\\\\\ =\mathsf{\dfrac{1}{2}\,arcsin(x^2)+\dfrac{1}{2}\,arccos(x^2)}\\\\\\ =\mathsf{\dfrac{1}{2}\cdot \left[\,arcsin(x^2)+arccos(x^2)\right]}\\\\\\ =\mathsf{\dfrac{1}{2}\cdot \dfrac{\pi}{2}}](https://tex.z-dn.net/?f=%5Cmathsf%7B%5Cdfrac%7B1%7D%7B2%7D%5C%2Carcsin%28x%5E2%29-%5Cleft%28-%5Cdfrac%7B1%7D%7B2%7D%5C%2Carccos%28x%5E2%29%5Cright%29%7D%5C%5C%5C%5C%5C%5C%0A%3D%5Cmathsf%7B%5Cdfrac%7B1%7D%7B2%7D%5C%2Carcsin%28x%5E2%29%2B%5Cdfrac%7B1%7D%7B2%7D%5C%2Carccos%28x%5E2%29%7D%5C%5C%5C%5C%5C%5C%0A%3D%5Cmathsf%7B%5Cdfrac%7B1%7D%7B2%7D%5Ccdot%20%5Cleft%5B%5C%2Carcsin%28x%5E2%29%2Barccos%28x%5E2%29%5Cright%5D%7D%5C%5C%5C%5C%5C%5C%0A%3D%5Cmathsf%7B%5Cdfrac%7B1%7D%7B2%7D%5Ccdot%20%5Cdfrac%7B%5Cpi%7D%7B2%7D%7D)

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and that constant does not interfer in the differentiation process, because the derivative of a constant is zero.
I hope this helps. =)
The net cannot be folded to form a pyramid because the faces that are not a base are not all triangles
If you fold this net up, you will get a triangular prism, NOT A PYRAMID.
A pyramid can have ANY polygon as its base, as long as all the other rest of the shapes are triangles.
Depending on the base, the number of triangles in a net of a pyramid must match the number of sides its particular base has.
For example, if you have a square pyramid turned into a net:
The base is a square (4 sides)
There should be 4 triangles on each side.
Because a pyramid is where all the triangles must meet up at a point.
Hope this helps!
Yes this is equal because 3v+v is 4v and if you divide 12v by 3 you also get 4v