A large spherical balloon is being deflated

Mathematics

1 answer:

artcher [175]3 years ago

7 0

The formula for volume of a sphere is V = 4 /3 x π x r3 (cubed).

The original radius of the balloon is 10 ft, so when we plug that value into the equation we get 4188.79. When the balloon deflated, the new radius was 5 ft, so the new volume is 523.6. The question asks how much volume was lost, so we need to subtract 4188.79 - 523.6 and get approximately 3665.

Hope this helps! I hate taking usa test prep quizzes too haha.

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3 years ago

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4(-2d-3)=12, someone please solve this for me asap

wlad13 [49]

4(-3 + -2d) = 12

(-3 * 4 + -2d * 4) = 12

(-12 + -8d) = 12

-12 + -8d = 12

-12 + 12 + -8d = 12 + 12

-12 + 12 = 0

0 + -8d = 12 + 12

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3 years ago

PLEASE HELP !!!!!!!!!!!!!

Akimi4 [234]

9514 1404 393

Answer:

the multiplicity is 4

Step-by-step explanation:

The graph shows a root at x = -2 that has a multiplicity of 2. You know the multiplicity is even, because the graph does not cross the x-axis. The multiplicity is 2 because the general shape of the graph in that area matches that of a quadratic (parabola).

The multiplicity of the root at x=4 is also an even number, because the x-axis is not crossed. However, the graph is significantly flatter at that point (than at x=-2), meaning the multiplicity is greater than 2. It is at least 4.

When we draw a graph with a multiplicity of 6 at x=4, we find the ratio of the peaks near x=-4 and x=0 to be different from that shown here. The suggests that the multiplicity of the root at x=4 is exactly 4.