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guapka [62]
3 years ago
15

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Mathematics
1 answer:
lesya692 [45]3 years ago
7 0

Answer:

the third one is the correct answer

Step-by-step explanation:

hope that helps

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A spherical balloon is being inflated at a rate of 3 cubic inches per second. Determine the change in the rate of the radius.How
Novay_Z [31]

Answer:

The rate rate of change of radius is \frac{1}{48\pi} inches per second when the diameter is 12 inches.

The radius is changing more rapidly when the diameter is 12 inches.

Step-by-step explanation:

Consider the provided information.

A spherical balloon is being inflated at a rate of 3 cubic inches per second.

The volume of sphere is V=\frac{4}{3}\pi r^3

Differentiate the above formula with respect to time.

\frac{dV}{dt}=4\pi r^2\frac{dr}{dt}

Substitute the respective values in the above formula,

3=4\pi 6^2\frac{dr}{dt}

\frac{1}{48\pi}=\frac{dr}{dt}

The rate rate of change of radius is \frac{1}{48\pi} inches per second when the diameter is 12 inches.

When d=16

3=4\pi 8^2\frac{dr}{dt}

\frac{3}{256\pi}=\frac{dr}{dt}

Thus, the radius is changing more rapidly when the diameter is 12 inches.

5 0
3 years ago
The weather report says there us a 30% change of rain. What is the probability that it does not rain
kotegsom [21]

Answer:

60%/100%

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Which lines are parallel in the regular pentagonal prism
Pepsi [2]

Answer:

We have rectangle HCDE  CD ║ HE.

And the other rectangle is ABCH  AB ║ HC...

Step-by-step explanation:

In the given figure notice that:

We have two rectangles in the figure.

Opposite sides of any rectangular face are parallel, because opposite sides of a rectangle are parallel.

We have rectangle HCDE  CD ║ HE.

And the other rectangle is ABCH  AB ║ HC...

8 0
3 years ago
Solve the inequality r+7 is lesser than or equal to 12
zvonat [6]
R+7(<=)12

r+7 should result: 0,1,2,3,4,5,6,7,8,9,10,11,12

so, here's the process:

r+7= 0
r= 0-7
r= -7

r+7= 1
r= 1-7
r= -6

r+7= 2
r= 2-7
r= -5

r+7= 3
r= 3-7
r= -4

r+7= 4
r= 4-7
r= -3

r+7= 5
r= 5-7
r= -2

r+7= 6
r=6-7
r= -1

r+7= 7
r= 7-7
r= 0

r+7= 8
r= 8-7
r= 1

r+7= 9
r= 9-7
r= 2

r+7= 10
r= 10-7
r= 3

r+7= 11
r= 11-7
r= 4

r+7= 12
r= 12-7
r= 5




r = { -7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5}
5 0
3 years ago
Write an expression which represents <br>6 more than x?​
Licemer1 [7]

Answer:

x+6

Step-by-step explanation:

3 0
3 years ago
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