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katrin2010 [14]
3 years ago
12

Which is the better buy, a quart of sports drink for $1.39 or a gallon for $6?

Mathematics
1 answer:
Art [367]3 years ago
5 0
A gallon of $6 for one gallon
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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
Readme [11.4K]

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

5 0
2 years ago
80 yd<br> 18 yd<br> 16) What is the length of the hypotenuse?
Sloan [31]
Assuming that 80 and 18 are the legs, the hypotenuse is 82yds.
5 0
3 years ago
What is the variable if 13 and p
MariettaO [177]

Answer:

p because variables are shown by letters not numbers

Hope this helped:)

Step-by-step explanation:

4 0
3 years ago
What is the common difference in the following arithmetic sequence?
Ivan

The answer is D


-12+11=-1

-1+11=10

10+11=21

You add because it is an arithmatic sequence rather than a geometric sequence

7 0
3 years ago
Read 2 more answers
A+b=76 a-b=38 a/b=??
BARSIC [14]
<span>JUST ADD 

2A = 114 

A = 57 
B = 19 

A / B = 57/19 = 3 ANSWER</span><span>

</span>
4 0
3 years ago
Read 2 more answers
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