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rewona [7]
3 years ago
13

The dimensions of a conical funnel are shown below: Nisha closes the nozzle of the funnel and fills it completely with a liquid.

She then opens the nozzle. If the liquid drops at the rate of 15 cubic inches per minute, how long will it take for all the liquid to pass through the nozzle? ( use pi= 3.14)
Mathematics
2 answers:
Dahasolnce [82]3 years ago
3 0
You did not show the cone or give its dimensions, however we can solve for the general case:

V=(hπr^2)/3  This will be our initial volume.

And we are told that the volume leaving the cylinder is:

V=15t

So the remaining liquid at any time t, we have:

V=(hπr^2)/3-15t  

All of the fluid will have been removed when V=0 so

(hπr^2)/3-15t=0

(hπr^2)/3=15t  now divide both sides by 15

t=(hπr^2)/45 minutes, where h=height of cone, r=radius of cone

And since you are asked to approximate π≈3.14

t=(3.14hr^2)/45, now you just have to plug in the height and radius of the cone to solve for how many minutes it will take for the cone to empty.
Anestetic [448]3 years ago
3 0

Answer: The answer is 5.02

Step-by-step explanation: 3.14 times radius squared times height divided by 45

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8 0
4 years ago
Derek earns $ 4800 in 3 months. what is his annual income
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Step-by-step explanation:

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5 0
3 years ago
If the parent function f(x) = x^2 is fatter translated 11 units to the left, then translated 5 units down, write the resulting f
olga55 [171]

Part A.

1.  If the parent function f(x) = x^2 is shrinked (looks more flattened out and fatter) with coefficient 0<k<1, then  its equation is f(x) = kx^2.

2. If the function f(x) = kx^2 is fatter translated 11 units to the left, then its equation becomes

f(x) =k(x+11)^2.

3. If the function  f(x) = k(x+11)^2 is  translated 5 units down, then its equation becomes

f(x) = k(x+11)^2-5 where 0<k<1.

Answer 1: correct choice is B.

Part B.

1.  If the parent function f(x) = x^2 is shrinked (looks more flattened out and fatter) with coefficient 0<k<1, then  its equation is f(x) = kx^2.

2. If the function f(x) = kx^2 is fatter translated 8 units to the right, then its equation becomes

f(x) =k(x-8)^2.

3. If the function  f(x) = k(x-8)^2 is  translated 1 unit down, then its equation becomes

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Answer 2: correct choice is A.

7 0
4 years ago
Which graph shows a polynomial function with a negative leading coefficient?
VLD [36.1K]

Answer:

The first graph. (an upside down U)

Step-by-step explanation:

The leading coefficient of a polynomial determines the direction of the graph's end behavior.

A positive leading coefficient has the end behavior point up when an even degree and point opposite directions when an odd degree with the left down and the right up.

A negative leading coefficient has the end behavior point down when an even degree and point opposite directions when an odd degree with the left up and the right down.

This graph has two evens. Because its negative, only one is possible - the first graph.

The other two graphs are odd with both starting down on the left and point up on the right which is a positive leading coefficient. These are not possible graphs.

The first graph is the solution.


4 0
3 years ago
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