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3 years ago

You open a case of Cherry Coke from the garage to put cans in the refrigerator. You put the

Mathematics

1 answer:

zimovet [89]3 years ago

4 0

9514 1404 393

Answer:

k ≈ -0.06729

Step-by-step explanation:

The initial temperature difference is 85 -36 = 49 degrees. After 5 minutes, the temperature difference is 71 -36 = 35 degrees. The constant k is the natural log of the ratio of these temperature differences, divided by the time unit.

k = ln(35/49)/5 ≈ -0.06729

The equation for the temperature T of the can in the refrigerator is ...

T = 49e^(-0.06729t) +36

_____

<em>Additional comment</em>

Be careful with the sign. If you're filling in k in e^(-kt), then the sign of k will be positive. Above, we have taken the form of the exponential term to be e^(kt), so k is negative.

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What is the rate of change of the function?

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3 years ago

Write the fraction as a whole or mixed number.

Wewaii [24]

Answer:

$1\frac{1}{2}$

Step-by-step explanation:

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3 years ago

Sophia is dilating a figure. One of her pre-image points with coordinates (-3, 5) has an image with coordinates (-9, 15). If one

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3 years ago

Read 2 more answers

What’s the fifth term of a sequence whose first term is 5 and whose common ratio is 3?

SSSSS [86.1K]

Answer:

405.

Step-by-step explanation:

This is a geometric sequence where the nth term = a1 r^(n -1).

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the fifth term a5 = 5(3)^(5-1)

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4 0

3 years ago

Container A has 200 L of water, and is being filled at a rate of 6 liters per minute. Container B has 500 L of water, and is bei

zheka24 [161]

Answer:

25 minutes

Step-by-step explanation:

Let the amount of time, in minutes, be x.

For Container A, we can write:

200 + 6x [since it has 200 and is being filled with 6 per minute]

For Container B, we can write:

500 - 6x [since it has 500 and is being drained with 6 per minute]

To find, we equate them and solve for x:

$200+6x=500-6x\\6x+6x=500-200\\12x=300\\x=\frac{300}{12}\\x=25$

<em>So, in 25 minutes (m), the two containers will have same amount of water</em>

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2 years ago