AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA

Mathematics

1 answer:

Free_Kalibri [48]3 years ago

4 0

Answer:eyyyyyyyyyyyyyyyyyyyy

Step-by-step explanation:

You might be interested in

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

How are the key features of a quadratic graph seen

Tpy6a [65]

Ye ye cuz fat is fat it mix and make ye ye and fat and I use fat to cook my dog but sometimes I air fry hey you reading stop being stressed abt homework and go air fry ur dog U won’t regret it

3 0

3 years ago

A glacier grew g feet over winter. It shrank 25 feet in summer.if the total change was -10 feet how much had the glacier grown i

Nataly [62]

You would have to add 25 and -10 together

5 0

3 years ago

What is the sum of the complex numbers 6+5i and 8+3i2? (NOTE: −1‾‾‾√=i )

Ahat [919]

Answer:

11 + 5i

Step-by-step explanation:

6 + 5i + 8 + 3i² =

= 6 + 8 + 3(-1) + 5i

= 14 - 3 + 5i

= 11 + 5i

4 0

2 years ago

A staffing agency for in-home nurses and support staff places necessary personnel at locations on a daily basis. Each placed nur

shutvik [7]

You answer would be C I hope this helps........

6 0

2 years ago