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Burka [1]
2 years ago
6

Plz help... Thx.....​

Mathematics
1 answer:
Lemur [1.5K]2 years ago
4 0

Answer: i think it's c

Step-by-step explanation:

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Newton's law of cooling is:
Mnenie [13.5K]

Answer:

t = \frac{ln(\frac{21}{59})}{-0.15}=6.887 hr

So it would takes approximately 6.9 hours to reach 32 F.

Step-by-step explanation:

For this case we have the following differential equationÑ

\frac{du}{dt}= -k (u-T)

We can reorder the expression like this:

\frac{du}{u-T} = -k dt

We can use the substitution w = u-T and dw =du so then we have:

\frac{dw}{w} =-k dt

IF we integrate both sides we got:

ln |w| = -kt +C

If we apply exponential in both sides we got:

w = e^{-kt} *e^c

And if we replace w = u-T we got:

u(t)= T + C_1 e^{-kt}

We can also express the solution in the following terms:

u(t) = (T_i -T_{amb}) e^{kt} +T_{amb}

For this case we know that k =-0.15 hr since w ehave a cooloing, T_{i}= 70 F, T_{amb}=11F, we have this model:

u(t) = (70-11) e^{-0.15t} +11

And if we want that the temperature would be 32F we can solve for t like this:

32 = 59 e^{-0.15 t} +11

21=59 e^{-0.15 t}

\frac{21}{59} = e^{-0.15 t}

If we apply natural logs on both sides we got:

ln (\frac{21}{59}) =-0.15 t

t = \frac{ln(\frac{21}{59})}{-0.15}=6.887 hr

So it would takes approximately 6.9 hours to reach 32 F.

7 0
3 years ago
A metal can is a cylinder with a radius of 3 in. and a height of 6 in.
iVinArrow [24]

Answer:

169.56

Step-by-step explanation:

54*3.14 = 169.56

this is the answer on the test

5 0
2 years ago
Pls help asappp you will get brainliest
andreyandreev [35.5K]

Answer:

32 units.

Step-by-step explanation:

look up a picture of a 306090 triangle, it will make sense :)

4 0
2 years ago
Read 2 more answers
Please help! i dont get this
igomit [66]

ANSWER: D.180

EXPLANATION:  A straight angle is 180 degrees

A straight angle changes the direction to point the opposite way. Sometimes people say "You did a complete 180 on that!" ... meaning you completely changed your mind, idea or direction.

8 0
3 years ago
I need help with 1 AND b, please explain!
Thepotemich [5.8K]
First answer is 27
Multiply -3 with -1
Then multiply it to the 3rd power.


2nd answer is 1 / 1296
First add the expoinents
-12 +8 = -4

Then you would need to do the equation
6^-4 x 6^0
And this would equal 1/1296

Please mark Brainliest :)
4 0
3 years ago
Read 2 more answers
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