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AVprozaik [17]
2 years ago
10

You double the radius of a sphere. How does this affect the volume?

Mathematics
1 answer:
Afina-wow [57]2 years ago
5 0
The volume of a sphere is defined as:
V=(4*pi*r^3)/3
then, if we double the radius of the sphere (r=2r):
V=(4*pi*(2r)^3)/3
V=(4*pi*(2^3*r^3))/3
V=(4*pi*r^3)/3*8

Then, the answer is that if you double the radius of the sphere, its volume is increased 8 times.
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Ok So I an taking algebra 1 and this question is really confusing me.
V125BC [204]
You use the arithmetic sequence formula and input the information given to you.
tn = a + (n-1)d
t(56) is what your looking for so don't worry about the tn.
a is your first term,
a = 15.
n is the position of the term you are looking for, n = 56.
And d is the common difference, you find this by taking t2 and subtracting t1. t2=18 and t1=15.
d = 18 - 15 = 3
Inputting it all into the formula you get,
t(56) = 15 + (56-1)(3)
term 56 = 180.
You use this formula to find any term in a sequence provided you are given enough info. You can also manipulate it if you are asked to find something else like the first term(a), common difference(d) or term position(n). It just depends on what the question is asking and what information you are given. :)
Hope this helps!

7 0
3 years ago
Which statement is true about the slope of the graphed line?
Sonbull [250]
B. the slope is positive because its in a straight line
4 0
3 years ago
When a trinomial is factored as (x + p)(x + q), what is the sum of p and q? A.The constant term of the trinomial B.The coefficie
Papessa [141]
It is B, the coefficient of the x-term.  When you multiply this out, you get x*x+x*q+x*p+p*q, or x^2+x(p+q)+p*q
Notice how the x term is multiplied by p+q.

Hope this helps!
5 0
2 years ago
WILL MARK BRAINLIEST! The board of directors of a company knows that the probability that carbon emissions from the company’s fa
notsponge [240]

Answer:

The probability that carbon emissions from the company’s factory exceed the permissible level is 35%.

That means the probability that the carbon emissions at within permissible level are 65%

The test, which has an accuracy rate of 85%, which means 85% of positive reading has a positive result. The positive reading indicates that the factory's carbon emissions are within the permissible level.

the answer is .9132

Step-by-step explanation:

hope this helps you

8 0
3 years ago
Read 2 more answers
Solve for x then solve for b
trasher [3.6K]

Answer:

x= 6 and b= 126°

Step-by-step explanation:

okay the first step to solving this is understanding what are the properties of ∠A and ∠B.

so the angles are equal to each other because they are alternate interior angles.

if that is settled it means the equation for both angles would be equal to each other as well.

∠A= 8x + 78°  ∠B= 2x + 114°

therefore: 8x + 78= 2x + 114

                 then solve for x:

  • isolate x and the answer is equal to 6 at the end

now you are looking for angle b, so you input x which is 6 into the equation;

  • ∠B= 2x + 114°

    = 2(6) + 114°

    =12 + 114°

    =126°

3 0
3 years ago
Read 2 more answers
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