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AVprozaik [17]
3 years ago
10

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

Mathematics
1 answer:
Afina-wow [57]3 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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A ball is thrown and it follows a parabolic path. At each horizontal distance (x) the following equation models the ball’s heigh
Nataly_w [17]

Answer D). 9 ft is correct

Height of the ball at a horizontal distance of 10 feet is 9 ft

Step-by-step explanation:

A ball is thrown and it follows a parabolic path. At each horizontal distance (x) the following equation models the ball’s height (y).

Y(x) = -0.02x^{2} +0.8x+3

Question asked is " What will be height (Y) of the ball when X=10 ft "

Simply putting value of X in given equation

we get,

Y(x) = -0.02x^{2} +0.8x+3

Y(x) = -0.02(10)^{2} +0.8(10)+3

Y(x) = -0.02(100)} +8+3

Y(x) = -2 +8+3

Y(x) = 9

<em>Therefore,</em> Height of the ball at a horizontal distance of 10 feet is 9 ft

Answer D.  9 ft is correct

6 0
3 years ago
What is the value of this expression? 27+4×(8−4) Enter your answer in the box.
marta [7]

Answer:

43.

Step-by-step explanation:

Follow PEMDAS (Parentheses, exponents, multiply, divide, add, subtract). First you do 8-4 which is 4, then you multiply 4 by 4 which is 16 since you multiply next, then you add 27 to 16 which then gets you to 43.

3 0
3 years ago
Each of the numbers 1 through 7 is written on a small piece of paper and placed in a box. What is the probability of picking a p
gregori [183]

Answer:

Either C or B I’m not quite sure which one. I’m sorry

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Which graph represents the solution set of the system of inequalities?
Lyrx [107]
The answer to this is D
4 0
3 years ago
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What is 1 1/3 as a improper fraction
Mumz [18]
Okay so for this all you have to do is add 1 to 1/3.

However, to do this you first need to convert 1 into a fraction.

1 = 3/3
3/3 + 1/3 = 4/3

Hope this helps :)
8 0
3 years ago
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