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3 years ago

8

2.The coordinate plane shown below is a graph of a relation.

1 answer:

vazorg [7]3 years ago

5 0

I believe the answer is c

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today ryan burned 1002.9 calories while exercising, yesterday, he burned 399 calories. how many more calories did ryan today tha

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He burned 603.9 more calores today than yesterday

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2 years ago

Is 2 greater or less than or equal to -5?

Marina CMI [18]

2 is greater then -5.

2 is a positive number unlike -5 it is a negative which is less then 2.

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3 years ago

Read 2 more answers

If bill has 300 dresses with a weight of 30 pounds each. How do you find the average weight of all of the dresses with the volum

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3 years ago

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

James orders clothing from an online retailer. James spends $105.91 on three pair of jeans, after using a $20 gift card. If the

Hoochie [10]

Answer: 84.728

Step-by-step explanation: 105.91•.20=21.182

105.91-21.182=84.728

If you have any questions just ask

7 0

3 years ago