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TiliK225 [7]
3 years ago
6

Explain why the rate of change of the radius of the sphere is not constant even though dV/dt is constant. dr dt depends on r2, n

ot simply r. The volume only appears constant; it is actually a rational relationship. The rate of change of the radius is a linear relationship whose slope is dV dt . The rate of change of the radius is a cubic relationship. dr dt as a function runs parallel to the volume function, which is not linear.
Mathematics
1 answer:
mario62 [17]3 years ago
4 0

Answer:

Hello your question has some missing parts below is the missing part

A spherical balloon is inflated with gas at a rate of 600 cubic centimeters per minute  

answer :

  • dr/dt  depends on r^2  not simply r

Step-by-step explanation:

The rate of change of the radius of the sphere is not constant even though dv/dt is constant is because ;

  • dr/dt  depends on r^2  not simply r

and this is because  dr/dt is proportional to  1/r^2 therefore the rate of change of the radius cannot be constant even though dv/dt is constant

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The length of the tunnel is 460 miles. If 1 inch represents 60 miles, what is the length of the scale drawing of the tunnel? Rou
Natasha_Volkova [10]

Answer:

7.66 inches

Step-by-step explanation:

In order to find the answer, you need to first find the ratio of miles to inches. You would do this by doing 460/60. In result you would have 7.66.

4 0
3 years ago
At the gift shop, they sell small greeting cards and large greeting cards. The cost of a small greeting card is $1.60 and the co
erik [133]
<h2>Explanations:</h2>

From the given question, we have the following parameters

Cost of a small greeting card = $1.60

The cost of a large greeting card = $4.05.

Cost of 5 small greeting cards = 5(1.60)

Cost of 5 small greeting cards = $8.00

Cost of 4 large greeting cards = 4(4.05)

Cost of 4 large greeting cards = $16.2

Cost of 5 small and 4 large = $8.00 + $16.2

Cost of 5 small and 4 large $24.2

Hence it would cost $24.2 to get 5 small greeting cards and 4 large greeting cards

Similarly;

Cost of x small greeting cards = 1.60x

Cost of y large greeting cards = 4.05y

Cost of small greeting cards and y large greeting cards = 1.60x + 4.05y

Hence it would cost $(1.60x + 4.05y) to get x small greeting cards and y large greeting cards

5 0
1 year ago
A line with a slope of 6 passes through the points (8,h) and (5,
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7 0
3 years ago
The front of Rosie's house is similar in shape to the front of Sparky's doghouse. The base of the doghouse is 6 feet and the hei
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Answer:

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Step-by-step explanation:

If the base of the doghouse is 6 feet and the height is 5 feet, we can write;

6 feet base = 5 feet height

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5x = 6 * 27.5

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x = 165/5

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Hence the length of its base will be 33feet

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