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fgiga [73]
3 years ago
12

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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When Mei does 17 push-ups and 6 sit-ups, it takes a total of 35 seconds. In comparison, she needs 41 seconds to do 20 push-ups a
Romashka [77]

Answer:

It takes 1 seconds for push-ups and 3 seconds for sit-ups for Mei to do exercise.

Step-by-step explanation:

Given:

Let the time taken for push-ups be 'x'.

Let the time taken for sit-ups be 'y'.

Now Given:

17 push-ups and 6 sit-ups, it takes a total of 35 seconds.

So we can say that;

17x+6y=35 \ \ \ \ equation \ 1

Also Given:

41 seconds to do 20 push-ups and 7 sit-ups.

so we can say that;

20x+7y=41 \ \ \ \ equation \ 2

Now Multiplying equation 1 by 7 we get;

7(17x+6y)=35\times7\\\\119x+42y= 245 \ \ \ \ equation \ 3

Now Multiplying equation 2 by 6 we get;

6(20x+7y)=41\times6\\\\120x+42y = 246 \ \ \ \ equation\ 4

Now Subtracting equation 3 from equation 4 we get;

120x+42y-(119x+42y)=246-245\\\\120x+42y-119x-42y=1\\\\x=1\ sec

Now substituting the value of x in equation 1 we get;

17x+6y=35\\\\17\times1+6y=35\\\\17+6y=35\\\\6y=35-17\\\\6y= 18\\\\y=\frac{18}6 = 3\ seconds

Hence It takes 1 seconds for push-ups and 3 seconds for sit-ups for Mei to do exercise.

7 0
2 years ago
Factor Completely: 100x2 - 1
fredd [130]

Answer:

d

Step-by-step explanation:

100x² - 1 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b), thus

100x² - 1

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= (10x - 1)(10x + 1) → d

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3 years ago
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sveticcg [70]

Answer:

78 inches

Step-by-step explanation:

12 TIMES 6 = 72

72+6=78

6 0
3 years ago
Josiah is buying a Christmas present for his mom. He has $24 in his saving account but needs $60 to buy the present he has in mi
olchik [2.2K]

Answer:

Step-by-step explanation:

9h + 24 = 60

6 0
2 years ago
Help will give Brainliest.
Luden [163]

no because you are not distributing numbers that multiply with each other and form new expressions

5 0
3 years ago
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