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Alexxx [7]
3 years ago
7

Write the equation of the horizontal line that passes through the point (-2,-2)

Mathematics
1 answer:
Furkat [3]3 years ago
3 0
Well if its horizontal, then the equation would be y=-2
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1. Sand falling from a chute forms a conical pile whose altitude is always equal to 4/3 the radius of the base. (a) How fast is
solong [7]

Answer:

The volume is increasing at a rate of 16286 in³/min.

Step-by-step explanation:

a) The volume of a cone is given by:

V = \frac{1}{3}h\pi r^{2}

Where:    

r: is the radius

h: is the height

The rate of change of the volume can be calculated by using the chain rule:

\frac{dV}{dt} = \frac{\pi}{3}[\frac{dh}{dt}r^{2} + h\frac{d(r^{2})}{dt}]

Since h = 4/3 r we have:

\frac{dV}{dt} = \frac{\pi}{3}[\frac{d(\frac{4r}{3})}{dt}r^{2} + \frac{4r}{3}\frac{d(r^{2})}{dt}]

\frac{dV}{dt} = \frac{4\pi}{9}[\frac{dr}{dt}r^{2} + r\frac{d(r^{2})}{dt}]        

\frac{dV}{dt} = \frac{4\pi}{9}[\frac{dr}{dt}r^{2} + 2r^{2}\frac{dr}{dt}]    (1)    

With:

\frac{dr}{dt} = 3 in/min

r = 3 ft*\frac{12 in}{1 ft} = 36 in

And by entering the above values into equation (1) we have:

\frac{dV}{dt} = \frac{4\pi}{9}[(3 in/min)*(36 in)^{2} + 2*(36 in)^{2}*3 in/min]

\frac{dV}{dt} = 16286 in^{3}/min

Therefore, the volume is increasing at a rate of 16286 in³/min.

I hope it helps you!                                    

3 0
3 years ago
−3 1/3÷1.2= write it as a mixed number i simplest form
GenaCL600 [577]

Answer:

I got -2.7

Step-by-step explanation:

8 0
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Scorpion4ik [409]

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This event is independent this statement is true because we cannot control the motion of a dice.

Step-by-step explanation:

Hope it will help you :)

6 0
3 years ago
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Answer please please
SOVA2 [1]

Answer:

b is the answer

Step-by-step explanation:

I took the test

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2 years ago
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there is also a D is its not any just say none so i know its d pls dont joke ima get kicked out the class is i dont do good​
Monica [59]

Answer:

b

Step-by-step explanation:

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