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Nitella [24]
4 years ago
10

If a sphere's volume is doubled, what is the corresponding change in its radius? A. The radius is increased to 20 times the orig

inal size. B. The radius is increased to 4 times the original size. C. The radius is increased to 2 times the original size. D. The radius is increased to 8 times the original size
Mathematics
1 answer:
RoseWind [281]4 years ago
8 0

Answer:

The radius is increased by 1.2599 times the original size.

Step-by-step explanation:

The volume is 3 dimensional whereas the radius is one dimensional.

Therefore the factor for the  radius will be the cube root of the factor for the volume.

So the radius is increased by 1.2599.

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How do you differentiate #f(x)=x / cot (x) + 3# using the quotient rule?
Rzqust [24]
I'm assuming

f(x)=\dfrac x{\cot x+3}

By the quotient rule, the derivative f'(x) is

\dfrac{(\cot x+3)(x)'-x(\cot x+3)'}{(\cot x+3)^2}=\dfrac{(\cot x+3)(1)-x(-\csc^2x)}{(\cot x+3)^2}=\dfrac{x\csc^2x+\cot x+3}{(\cot x+3)^2}
7 0
3 years ago
<img src="https://tex.z-dn.net/?f=%2012%20-%20x%20%3D%2082%20%5C%5C%20%20%20%5C%5C%20find%20%5C%3A%20x" id="TexFormula1" title="
notka56 [123]
Heya!!!
Answer to your question:
12 - x = 82
12 - 82 = x
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Hope it helps *_*
4 0
4 years ago
Read 2 more answers
Complete the equation.<br> (-1)^39=?
GalinKa [24]

Answer:

  -1

Step-by-step explanation:

The total number of minus signs is odd, so the product is negative.

  (-1)^39 = -(1^39) = -1

7 0
3 years ago
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Please answer this question as soon as possible
777dan777 [17]

Answer:

obtuse,right,acute

Step-by-step explanation:

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3 0
3 years ago
Twelve books cost $59.88 and
IgorC [24]

Answer:

Yes there is, and it is 4.99.

Step-by-step explanation:

The constant of proportionality (let's call it \alpha) will relate the number of books bought N and their cost  C in the following way:

C={\alpha}N

\therefore \alpha =\frac{C}{N}

For the 12 books:

\alpha =\frac{59.88}{12} = 4.99.

And for the 21 books:

\alpha =\frac{104.79}{21} = 4.99.

The \alpha for the two purchases is the same, thus there is a constant of proportionality between the two purchases.

P.S: \alpha is the price per book.

4 0
4 years ago
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