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3 years ago

A basketball has a diameter of approximately 9.5 inches . What is the volume of the basketball? Use 3.14 for pi

Mathematics

2 answers:

ki77a [65]3 years ago

7 0

Answer:

29.83

Step-by-step explanation:

you just multiply 9.5 times 3.14

Margarita [4]3 years ago

6 0

29.83 Due to the diameter being 9.5 inches

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Find derivative problem<br> Find B’(6)

dalvyx [7]

Answer:

$B^\prime(6) \approx -28.17$

Step-by-step explanation:

We have:

$\displaystyle B(t)=24.6\sin(\frac{\pi t}{10})(8-t)$

And we want to find B’(6).

So, we will need to find B(t) first. To do so, we will take the derivative of both sides with respect to x. Hence:

$\displaystyle B^\prime(t)=\frac{d}{dt}[24.6\sin(\frac{\pi t}{10})(8-t)]$

We can move the constant outside:

$\displaystyle B^\prime(t)=24.6\frac{d}{dt}[\sin(\frac{\pi t}{10})(8-t)]$

Now, we will utilize the product rule. The product rule is:

$(uv)^\prime=u^\prime v+u v^\prime$

We will let:

$\displaystyle u=\sin(\frac{\pi t}{10})\text{ and } \\ \\ v=8-t$

Then:

$\displaystyle u^\prime=\frac{\pi}{10}\cos(\frac{\pi t}{10})\text{ and } \\ \\ v^\prime= -1$

(The derivative of u was determined using the chain rule.)

Then it follows that:

$\displaystyle \begin{aligned} B^\prime(t)&=24.6\frac{d}{dt}[\sin(\frac{\pi t}{10})(8-t)] \\ \\ &=24.6[(\frac{\pi}{10}\cos(\frac{\pi t}{10}))(8-t) - \sin(\frac{\pi t}{10})] \end{aligned}$

Therefore:

$\displaystyle B^\prime(6) =24.6[(\frac{\pi}{10}\cos(\frac{\pi (6)}{10}))(8-(6))- \sin(\frac{\pi (6)}{10})]$

By simplification:

$\displaystyle B^\prime(6)=24.6 [\frac{\pi}{10}\cos(\frac{3\pi}{5})(2)-\sin(\frac{3\pi}{5})] \approx -28.17$

So, the slope of the tangent line to the point (6, B(6)) is -28.17.

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If the temperature in the Arctic is -13C, but it then rises by 20C, what is the new temperature?

miv72 [106K]

Answer:7

Step-by-step explanation:

all you have to do is subtract 20-13

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3 years ago

Explain how you can use a quick picture to find 3 x 2.7

umka2103 [35]

You can make 3 tens blocks and then 3 tens blocks but only two should be filled than for the third one fill 7 only

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3 years ago

What place value is the 5 in the following number, 123.465? earn 100 points!!!

Papessa [141]

Answer:

it will be in the thousands place for sure

Step-by-step explanation:

hope that helps =) i forgot there were a decimal point

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4 years ago

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I need help pls !!!!!

Murrr4er [49]

Answer:

a=5

Step-by-step explanation:

right angel=90%

90-52=28

28-3=25

5(5)=25

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3 years ago

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