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Schach [20]
2 years ago
9

A pool has some initial amount of water in it. Then it starts being filled so the water level rises at a rate of 6 cm per minute

. After 20min the water level is 220 cm

Mathematics
1 answer:
alexira [117]2 years ago
8 0

Answer:

Step-by-step explanation:

I think the question below is the one you wanted to ask:

<em>A pool has some initial amount of water in it. Then it starts being filled so the water level rises at a rate of 6 centimeters per minute. After 20 minutes, the water level is 220 centimeters </em>

<em>Graph the pool's water level (in centimeters) as a function of time (in minutes).</em>

Here is my answer:

To draw the linear line, we need to identify the equation that modles this situation. As we know the water level rises at a rate of 6 cm per minute which mean the slope m = 6

The standard form is: y = mx + b <=> y = 6x + b

After 20min the water level is 220 cm

<=> 220 = 6(20) +b

<=> b = 100  

So your  equation is : y = 6x + 100 and the initial amount of water in it is 100

Please have a look at the attached photo

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Answer:

For First Solution: y_1(t)=e^t

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For 2nd Solution:y_2(t)=cosht

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Step-by-step explanation:

For First Solution: y_1(t)=e^t

In order to prove whether it is a solution or not we have to put it into the equation and check. For this we have to take derivatives.

y_1(t)=e^t

First order derivative:

y'_1(t)=e^t

2nd order Derivative:

y''_1(t)=e^t

Put Them in equation y''-y=0

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Hence y_1(t)=e^t is the solution of equation y''-y=0.

For 2nd Solution:

y_2(t)=cosht

In order to prove whether it is a solution or not we have to put it into the equation and check. For this we have to take derivatives.

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First order derivative:

y'_2(t)=sinht

2nd order Derivative:

y''_2(t)=cosht

Put Them in equation y''-y=0

cosht-cosht=0

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Answer:

Insurance will pay $250,000 and Ronaldo will pay $90,000

Step-by-step explanation:

50/250 means 50 is the maxi9$50,000 per person for body injury liability while 250 means $250,000 maximum for one accident for body injury liability claim.

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Answer:

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Step-by-step explanation:

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Crank

Answer:

The product results in: 6\,\sqrt{2} -2\,\sqrt{30} +6-2\,\sqrt{15}, which agrees with answer A of the given choices.

Step-by-step explanation:

We need to apply distributive property for the product of two expressions each consisting of two terms, and also use the properties of products of radicals of the same root:

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