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NemiM [27]
3 years ago
14

The function describes the volume of a right circular cylinder of height 3 ft and radius r feet. find the instantaneous rate of

change of the voume with respect to the radius when r = 5
Mathematics
1 answer:
xxMikexx [17]3 years ago
8 0
The volume of a right circular cone is calculated through the equation,

                  V = πr²h

where V is volume, r is radius of the base, and h is height. Given that height is 3 ft, this can be simplied into,
 
                V = 3πr²

The rate of change with respect to r is,
                dV/dr = 6πr

Substituting the DALE,

                dV/dr = (6)π(2 m)² = 24π

Answer: 24π. 
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For what value of x is the equation 2^2x+7 = 2^15 true?
GenaCL600 [577]

Answer:

  x = 4

Step-by-step explanation:

We assume your equation is intended to be ...

  2^(2x+7) = 2^15

Equating exponents gives ...

  2x +7 = 15

  2x = 8 . . . . . . subtract 7

  x = 4 . . . . . . . divide by 2

The value of x is 4.

8 0
4 years ago
7.) which property is illustrated by the following statement?<br> (zoom out to see full pic)
PtichkaEL [24]
<span>commutative property of multiplication</span>
4 0
3 years ago
Read 2 more answers
At the library by 9 books on a certain topic the librarian tells you that 55% of the books on this topic have been signed out ho
Alex17521 [72]
About 5 books have been signed out, so they still have 4.
7 0
3 years ago
Question Progress
andreyandreev [35.5K]

The two numbers are 3 and 18, if the sum of two number is 21 and the second number is six times the first number.

Step-by-step explanation:

The given is,

                  The sum of two numbers is 21

                   The second number is six times the first number

Step:1

          Let, m - First number

                  n - Second number

Step:2

        From given,

                  n - 6m     ( The second number is six times the first number )

        Equation becomes,

                  Sum = m + n

        Where,

                      21 = m + ( 6m )

                       21 = 7m

                       m = 3

        Substitute m value n becomes,

                        n = 6m

                           = (6 × 3)

                      n  = 18

Result:

          The two numbers are 3 and 18, if the sum of two number is 21 and the second number is six times the first number.

                   

5 0
3 years ago
A triangular pyramid has the same base and height as a triangular prism. The volume of the prism is 66 cubic inches. What is the
notka56 [123]
The volume of the triangular prism is 66 cubic inches. 
In order for us to know the volume of the triangular pyramid, first we need to know the ratio of the volume of triangular prism and the volume of the triangular pyramid.

Volume of the pyramid = 1/3 * volume of the prism.
Volume of the pyramid = 1 / 3 * 66
<span>Volume of the pyramid = 22 cubic inches.
</span>
So the volume of the triangular pyramid is 22 cubic inches.
5 0
3 years ago
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