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Marysya12 [62]
2 years ago
10

A can of soda is placed inside a cooler. As the soda cools, its temperature T (x) in degrees celsius is givien by the following

function, where x is the number of minute since the can was placed in the cooler.T(x)=-6+24e^-0.038xFind the intial temperature of the soda and its temperature after 20 mintues. Round your answers to the nearest degrees as necessary.Initial temperature:___ celsius.Temperature after 20 minutes:__celsius.
Mathematics
1 answer:
wel2 years ago
8 0

Answer:

Initial 18 degrees Celsius

After 20 minutes, 5 degrees Celsius

Step-by-step explanation:

It’s initial temperature can be calculated as at the time when x = 0

When x = 0, the temperature is -6+24 = 18 degrees Celsius

This is because the exponent part equals 1 since anything raised in to the power of zero is one.

After twenty minutes,

T(x) = -6 +24e^-0.038(20)

T(x) = -6 + 11.224 = 5.224

And that is approximately 5 degrees Celsius to the nearest degree

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Cynthia wants to multiply 0.8 by a fraction less than 1. How will the product compare to 0.8? It will be 0.8.
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8 0
3 years ago
Mr. Sawyer drove his car from his home to New York at the rate of 45 mph and returned over the same road at the rate of 40 mph.
AveGali [126]

Answer: Time taken by him in going = 8 hours

Time taken by him in returning =  9 hours

Step-by-step explanation:

Let the total distance from home to New York is x miles,

\text{ Since, Time} = \frac{\text{Distance}}{\text{Speed}}

Also, he drove his car from his home to New York at the rate of 45 mph,

⇒ \text{ Time taken by him in going } = \frac{x}{45}\text{ hours}

And, returned over the same road at the rate of 40 mph.

⇒  \text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}

According to the question,

Time taken by him in returning - Time taken by him in going = 30 minutes = 1/2 hours,    ( 1 hours = 60 minutes )

⇒ \frac{x}{40}-\frac{x}{45}=\frac{1}{2}

⇒ \frac{9x}{360}-\frac{8x}{360}=\frac{1}{2}

⇒ \frac{x}{360} = \farc{1}{2}

⇒ 2x=720

⇒ x=360\text{ miles}

Hence, the total distance from home to New York = x miles = 360 miles

⇒ \text{ Time taken by him in going } = \frac{x}{45}\text{ hours}

=\frac{360}{45}=8\text{ hours}

⇒  \text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}

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3 0
3 years ago
!. PLEASE HELP!!! will mark brainliest!!
NeX [460]

Matter exists in three states; <em>solid, liquid and gas.</em>

The statement that corrects the error in his table is:

<em>D. The Solids column and the gas column should be switched because solids have a definite shape and volume and gases have no definite shape or volume. </em>

<em />

<em />

Looking at the table, we have the following observations.

  • <em>The solid column shows indefinite shape (because the particles fill in the container)</em>
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<em />

Solid has definite shape, while gas doesn't.

To make corrections, Marcus needs to switch the gas and the solid column.

Read more about states of matter at:

brainly.com/question/18538345

3 0
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