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Mars2501 [29]
2 years ago
13

The edges of a cube increase at a rate of 3 cm/s. How fast is the volume changing when the length of each edge is 40 cm?

Mathematics
1 answer:
OLga [1]2 years ago
7 0

Answer:

  14400 cm³/s

Step-by-step explanation:

Find the rate of change of volume in terms of edge length, and evaluate the expression for the given conditions.

<h3>Rate of change of volume</h3>

  V = s³ . . . . volume in terms of edge length (s)

  dV/dt = 3s²·ds/dt . . . . . . derivative of volume with respect to time

For the given values of s and ds/dt, this is ...

  dV/dt = 3(40 cm)²(3 cm/s) = 14400 cm³/s

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<em><u>Problem One</u></em>

Remark

You don't pay a sales tax until cash is exchanged for goods or services.

So what is 70% off

Solution

Sale price = given price * (100% - 70%)

Sale Price = 72 * 30%

Sale Price = 72 * 30/100

Sale Price = 72 * 0.3

Sale Price = 21.6 dollars.

The sales tax is 5% of this amount

21.6 * 5/100 = 1.08

The total cost is = 21.6 + 1.08 = 22.68

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If they marked up 100%, effectively they doubled the price.

New Price = old price + 100% of old price.

New Price = 48.50 + 48.50 = 97 dollars.

The sales tax is 6% * 97 = 6/100 * 97 = 5.82

Total Cost = Cost of item + Tax

Total Cost =97 + 5.82

Total Cost = 102.82 Answer <<<<

4 0
3 years ago
Please help me no links!!
kaheart [24]

Answer:

Slope is -3

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6 0
3 years ago
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ddd [48]

the answer is 59/24 or 2.4583 or 2 11/24

                    hope it helps

3 0
3 years ago
What is the value of x?
frutty [35]
Hello!   I am happy to help you.

Here, x=36.

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Hope this helps!

6 0
3 years ago
Stu hiked a trail at an average rate of 3 miles per hour. He ran back on the same trail at an average rate of 5 miles per hour.
Andrews [41]
3t = 5(3-t)
3t = 15 - 5t
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t = 1 hour and 52.5 minutes

It took Stu 1 hour and 52.5 minutes to hike the trail one way.
3 0
4 years ago
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