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Vikki [24]
3 years ago
14

Can anyone do this ??

Mathematics
1 answer:
Ilya [14]3 years ago
7 0

Answer:

I think is A tell me if I am wrong

Step-by-step explanation:

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VGravel is being dumped from a conveyor belt at a rate of 50 ft3/min. It forms a pile in the shape of a right circular cone whos
kupik [55]

Answer:

0.325 ft/min

Step-by-step explanation:

To solve we must follow the following steps:

First, the volume of a cone is given by the equation:

Vc = (1/3) * Pi * (r ^ 2) * h

where r is the radius and h is the height.

they tell us that the height is equal to twice the radius, therefore

h = 2r; r = h / 2

replacing r in the volume of the cone:

Vc = (1/3) * Pi * ((h / 2) ^ 2) * h

solving we have:

Vc = (1/3) * Pi * (1/4) * (h ^ 2) * h

Vc = (1/12) * Pi * h ^ 3

They give us the change in volume with respect to time, that is, dV / dt = 50

It can also be expressed in the following way:

dV / dt = (dV / dh) * (dh / dt)

We know V, so we can derive with respect to h, we are like this:

dV / dh = 3 * (1/12) * Pi * h ^ 2

dV / dh = (1/4) * Pi * h ^ 2

we know that h is equal to 14, therefore:

dV / dh = (1/4) * Pi * 14 ^ 2

dV / dh = (1/4) * 3.14 * 196 = 153.86

Now if we replace

dV / dt = (dV / dh) * (dh / dt)

50 = 153.86 * (dh / dt)

(dh / dt) =  50/158.36

(dh / dt) =  0.3249

This means that the change in height with respect to time is 0.325 feet per minutes.

4 0
3 years ago
Read 2 more answers
Two rockets, A and B, are shot from two different launch pads. The path of rocket A can be represented by the quadratic function
oksano4ka [1.4K]
<span>A(t) = −(t − 8)2 + 535
You would like to find the maximum of this function:</span> −(t − 8)^2<span>This part is always negative or zero as a number squared cannot be negative and you multiply by -1:  Thus the maximum of this part MAX:</span>−(t − 8)^2=0  
<span>The max will be when t=8 and its value is 535

</span>
4 0
3 years ago
there are 15 people in a book club. ten people read for an average of 65 minutes each day. The remaining people read for an aver
serg [7]
Average of 10 people = 65

65 × 10 = 650

average of 5 people = 35

35 × 5 = 175

650 + 175 = 825

825 ÷ 15 = 55

the average reading time for the entire book club each day is 55 minutes a day
8 0
3 years ago
Read 2 more answers
Can anybody help with my work
quester [9]
I think the answer is 20.34 I might be wrong someone else could check
5 0
2 years ago
Read 2 more answers
How to convert 18 gallons/1 hour to cups and minutes
Ne4ueva [31]
So there are 2 things you need to convert, the first is the gallons to cups and the second is the hours to minutes. so I like to set it up with numerators and denominators and then multiply the ratios. All same terms will cross out and be opposite of each other. 

(18 gal/1 hour) x (1 hour / 60 minutes), now we have (0.3 gallons/1 minute) we just have to change gallons to cups

(0.3 gallons/ 1 minute) x (4 quarts/1 gallon) x (2 pints/1 quart) x (2 cups/1 pint)

this comes out 4.8 cups/1 minute
8 0
3 years ago
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