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zmey [24]
3 years ago
10

Click the pair of numbers that is relatively prime.

Mathematics
1 answer:
7nadin3 [17]3 years ago
5 0
I believe the answer is D. 25 and 27

Hope this helps :)
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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
The hot water faucet takes four minutes to fill the tub, in the cold water faucet takes 3 minutes for the same job. How long to
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Answer: 1.12 minutes


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3 years ago
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Max used 3 7/8 pounds of yellow potatoes and 2 5/8 pounds of sweet potatoes to make a potato salad. How many more pounds of yell
Talja [164]

Answer:

3 7/8-2 5/8

<u>31</u><u>-</u><u>21</u>

8

=10/8

=1 1/4 more

5 0
2 years ago
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What does it mean for a product of factors to be expressed using exponents
7nadin3 [17]
 Exponent is the expression in where you convert product factor expression into a shorter expression. So really you use  it to make the question simpler and shorter(easier to understand).
4 0
3 years ago
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What is -3(x-8)+7x=12​
algol13

Answer:

18/5

Step-by-step explanation:

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3 years ago
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