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4 years ago

tossing a number cube numbered from 1 to 6 and getting an even number that is greater than or equal to 2

Mathematics

1 answer:

tatuchka [14]4 years ago

5 0

If your looking for a fraction it would be 3/6 chance of rolling an even number 2 or greater.

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The radius of a cone is decreasing at a constant rate of 7 inches per second, and the volume is decreasing at a rate of 948 cubi

inessss [21]

Answer:

The height of cone is decreasing at a rate of 0.085131 inch per second.

Step-by-step explanation:

We are given the following information in the question:

The radius of a cone is decreasing at a constant rate.

$\displaystyle\frac{dr}{dt} = -7\text{ inch per second}$

The volume is decreasing at a constant rate.

$\displaystyle\frac{dV}{dt} = -948\text{ cubic inch per second}$

Instant radius = 99 inch

Instant Volume = 525 cubic inches

We have to find the rate of change of height with respect to time.

Volume of cone =

$V = \displaystyle\frac{1}{3}\pi r^2 h$

Instant volume =

$525 = \displaystyle\frac{1}{3}\pi r^2h = \frac{1}{3}\pi (99)^2h\\\\\text{Instant heigth} = h = \frac{525\times 3}{\pi(99)^2}$

Differentiating with respect to t,

$\displaystyle\frac{dV}{dt} = \frac{1}{3}\pi \bigg(2r\frac{dr}{dt}h + r^2\frac{dh}{dt}\bigg)$

Putting all the values, we get,

$\displaystyle\frac{dV}{dt} = \frac{1}{3}\pi \bigg(2r\frac{dr}{dt}h + r^2\frac{dh}{dt}\bigg)\\\\-948 = \frac{1}{3}\pi\bigg(2(99)(-7)(\frac{525\times 3}{\pi(99)^2}) + (99)(99)\frac{dh}{dt}\bigg)\\\\\frac{-948\times 3}{\pi} + \frac{2\times 7\times 525\times 3}{99\times \pi} = (99)^2\frac{dh}{dt}\\\\\frac{1}{(99)^2}\bigg(\frac{-948\times 3}{\pi} + \frac{2\times 7\times 525\times 3}{99\times \pi}\bigg) = \frac{dh}{dt}\\\\\frac{dh}{dt} = -0.085131$

Thus, the height of cone is decreasing at a rate of 0.085131 inch per second.

3 0

3 years ago

The sum of 14 and a number is equal to 17

Annette [7]

The equation would look like this: 14+x= 17. To find the answer, you can either subract 17-14 or add to fourteen until you get to seventeen. Your answer is 3. It's the same either way. Hope this helps.

5 0

3 years ago

What would be the second step in this problem? (3 + 4) 9 + 3 =

trapecia [35]

Step-by-step explanation:

(3 + 4) 9 + 3 = (7)9 +3

= 63 + 3

= 66

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3 years ago

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How long does it take for the speed of light to get from the sun to mars

Dimas [21]

Answer:

Step-by-step explanation:

The planet Mars is about 141.6 million miles away from the Sun. The speed of light is about 186,000 miles per second. It would take approximately 761 seconds (or 12 minutes and 41 seconds) for light to get from the Sun to Mars.

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3 years ago

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I think i found the right one but I let her go thru my things but she wont lemme go thru her stuff what does that mean :( I want

Nadusha1986 [10]

Answer:

She might be needing privacy

Step-by-step explanation:

Just give it a little time if you see other signs then that is when you should be worried dont stress it right now

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4 years ago

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