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N76 [4]
3 years ago
9

A cylinder has a surface area of 1850 square meters and a radius of 9 meters. Estimate the volume of the cylinder to the nearest

whole number.
Mathematics
1 answer:
ollegr [7]3 years ago
8 0
The volume would be approximately 6035 cubic meters.
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Find the points on the curve y=(cosx)/(2 sinx) at which the tangent is horizontal
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y=\dfrac{\cos x}{2\sin x}=\dfrac12\cot x\implies y'=-\dfrac12\csc^2x=-\dfrac1{2\sin^2x}

The tangent lie is horizontal whenever y'=0. But this is never the case, since \sin^2x>0 and so y' for all x, so horizontal tangents exist.
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3 years ago
Explain the concept of regression to the mean between generations.
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Often it's called <em>regression toward the mean</em> which is a little clearer. The traits don't exactly equal their mean in the next generation, they just tend to move toward it.

The next generation, or offspring values, regresses to the overall mean of the population.

That's the first sentence. I'd CHECK it.

Measureable traits or characteristics that are extreme move back toward the average value.

That's the best definition, perhaps adding "tend to." I'd CHECK it.

The next generation traits move back, or regress, to the average of that trait.

As long as we make clear "to" is "toward" as it is in the original aphorism, and add "tend" this it true. I'd CHECK it.

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3 years ago
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A triangle is sitting on a horizontal line. The bottom left interior angle of the triangle is (9 + k) degrees. The exterior angl
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Answer:

The person above meh

Step-by-step explanation:

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The length of a rectangle is three times it’s width. The perimeter of the rectangle is 100 inches. What are the dimensions of th
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Answer:

let the width be x inches

then the length would be 3x inches

perimeter of rectangle = p = 2(l+b)

100= 2(3x+x)

100= 2(4x)

100=8x

x=100/8

x=12.5 inches

thw width is 12.5 inches and length is 3*12.5=37.5 inches

Step-by-step explanation:

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Step-by-step explanation:

{3}^{3x - 4}  =  {9}^{x} \\       {3}^{3x - 4}  =  {3}^{2x}

3x - 4 = 2x

3x - 2x = 4

x = 4

7 0
3 years ago
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