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3 years ago

Express as power of rational numbers -64/125

Mathematics

1 answer:

alex41 [277]3 years ago

6 0

Answer:

-65/125=-13/-25 (decimal -0.52)

Step-by-step explanation:

i hope this is right ,-,

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Kruka [31]

Answer:

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Step-by-step explanation:

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3 years ago

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 country recreation department cleared a 3/4 mile long walking trail in Washington Park. There will be a small sign every 1/1

dem82 [27]

We are given " The country recreation department cleared a 3/4 mile long walking trail in Washington Park."

Therefore total distance = 3/4 miles.

"There will be a small sign every 1/12 mile along the trail, including at the beginning and end of the trail. "

Distance of small sign = 1/12 mile.

We need to find the number of signs in 3/4 miles each of 1/12 miles.

<em>In order to find the number of signs, we need to divide total distance by distance of a small sign.</em>

3/4 ÷ 1/12

= 3/4 × 12/1 = 3 × 3

= 9 signs.

<h3>Therefore, 9 signs are needed.</h3>

4 0

3 years ago

Someone plssss help<br><br>whats 2 × 2??<br>

serious [3.7K]

Answer:

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3 years ago

Read 2 more answers

-x + 1/2 = x + 41/2<br> *PLEASE SHOW WORK*

ollegr [7]

-x + 1/2 = x + 4 1/2
  +x           +x
         1/2 = 2x + 4 1/2
       -4 1/2       - 4 1/2
        -4 = 2x
         x = -2

6 0

4 years ago

Express as power of rational numbers -64/125​

Express as power of rational numbers -64/125