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3 years ago

Please answer ASAP....... pic below

Mathematics

1 answer:

stiv31 [10]3 years ago

7 0

Answer:

You need to put the link on which is like the paper clip before you post.

Step-by-step explanation:

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At 2 PM, a thermometer reading 80°F is taken outside where the air temperature is 20°F. At 2:03 PM, the temperature reading yiel

Alexeev081 [22]

Use Law of Cooling:
$T(t) = (T_0 - T_A)e^{-kt} +T_A$
T0 = initial temperature, TA = ambient or final temperature

First solve for k using given info, T(3) = 42
$42 = (80-20)e^{-3k} +20 \\ \\ e^{-3k} = \frac{22}{60}=\frac{11}{30} \\ \\ k = -\frac{1}{3} ln (\frac{11}{30})$

Substituting k back into cooling equation gives:
$T(t) = 60(\frac{11}{30})^{t/3} + 20$

At some time "t", it is brought back inside at temperature "x".
We know that temperature goes back up to 71 at 2:10 so the time it is inside is 10-t, where t is time that it had been outside.
The new cooling equation for when its back inside is:
$T(t) = (x-80)(\frac{11}{30})^{t/3} + 80 \\ \\ 71 = (x-80)(\frac{11}{30})^{\frac{10-t}{3}} + 80$
Solve for x:
$x = -9(\frac{11}{30})^{\frac{t-10}{3}} + 80$
Sub back into original cooling equation, x = T(t)
$-9(\frac{11}{30})^{\frac{t-10}{3}} + 80 = 60 (\frac{11}{30})^{t/3} +20$
Solve for t:
$60 (\frac{11}{30})^{t/3} +9(\frac{11}{30})^{\frac{-10}{3}}(\frac{11}{30})^{t/3} = 60 \\ \\ (\frac{11}{30})^{t/3} = \frac{60}{60+9(\frac{11}{30})^{\frac{-10}{3}}} \\ \\ \\ t = 3(\frac{ln(\frac{60}{60+9(\frac{11}{30})^{\frac{-10}{3}}})}{ln (\frac{11}{30})}) \\ \\ \\ t = 4.959$

This means the exact time it was brought indoors was about 2.5 seconds before 2:05 PM

8 0

3 years ago

[Help asap, will mark brainliest] Refer to the diagram shown to classify the relationship between each angle pair.

Anastasy [175]

Answer:

a) corresponding

b) alternate interior

c) alternate exterior

d) supplementary

e) vertical

Step-by-step explanation:

I hope this helps :)

8 0

3 years ago

Read 2 more answers

5x - 2 = 8<br> What the answer

Montano1993 [528]

Answer:

x = 2

Step-by-step explanation:

5x - 2 = 8

5x = 8 + 2

5x = 10

x = 10/5

x = 2

7 0

3 years ago

Read 2 more answers

Help please!?!?!?!?!?!?!?!?!

Tpy6a [65]

Answer:

Your answer is D.

Step-by-step explanation:

If you need explanation ask me in comment

5 0

3 years ago

The product of -2 and a number x is greater than 30 Write the word sentence as a inequality, then solve inequality, thank you!

anygoal [31]

-2x > 30

x > -15 (??)

7 0

3 years ago