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LUCKY_DIMON [66]
3 years ago
14

Evaluate the expression begin expression . . . 2 times n, times, the quantity n minus 1 . . . end expression, when n = 3 . A 11

B 12 C 17 D 18
Mathematics
1 answer:
arsen [322]3 years ago
6 0

Answer:

B (12)

Step-by-step explanation:

The expression can be written as the following:

(2n)(n-1)

Let n=3

(2*3)(3-1)=(6)(2)=12

So the answer is B (12).

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A right circular cylinder has a diameter of 12 in and a height of 12 in. if water is flowing in at the rate of 4π in3 per minute
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The rate of change of the height is \frac{1}{9} in/min.

<h3>What is a right circular cylinder?</h3>

A right circular cylinder is a cylinder that has a closed circular surface having two parallel bases on both the ends and whose elements are perpendicular to its base. It is also called a right cylinder.

Volume of the cylinder = \pi r^{2}h

Rate of change of height is  \frac{dh}{dt} = ?

At any time t,

Volume, V =  \pi r^{2}h

Since r does not change with time, then r is a constant, so,

V =  \pi (6)^{2}h

V = 36\pi h

Differentiate both sides with respect to time t,

\frac{dV}{dt} = 36\pi \frac{dh}{dt} -------------(i)

Since \frac{dV}{dt}is given as 4\pi cu.in. per min,

4\pi  = 36\pi \frac{dh}{dt}

\frac{dh}{dt} = \frac{4\pi }{36\pi }

\frac{dh}{dt} = \frac{1 }{9 } in/min.

Hence, The rate of change of the height is \frac{1}{9} in/min.

To learn more about right circular cylinder from the given link:

brainly.com/question/2762448

#SPJ4

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2 years ago
If Margie worked 47 hours at $8.00 an hour, what is her weekly gross pay?
allochka39001 [22]
The answer is 376$ because 47 x 8.00 = 376$
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