Please help I’ll mark brainliest!!!

Mathematics

1 answer:

andrey2020 [161]2 years ago

7 0

Answer:

(3,0)

Step-by-step explanation:

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Using Newton's Law of Cooling. You are a medical examiner called to an abandoned house in which a dead body has been discovered.

Artyom0805 [142]

A) The differential equation comes from the fact that the rate of temperature change is proportional to the difference in temperatures.
$\frac{dT}{dt} = \alpha(T -52)$

B) Find general solution by separating variables and integrating $\int\frac{dT}{T-52} = \alpha \int dt \\ ln (T-52) = \alpha t + C \\ T = C e^{\alpha t} +52$ :

C) Initial condition is t=0, T = 87
$87 = C +52 \\ C = 35$

D) Total time elapsed is 10 minutes, new temperature is 84
$84 = 35 e^{10\alpha} +52$
solve for alpha
$e^{10\alpha} =\frac{32}{35} \\ \alpha = \frac{ln(32/35)}{10} \\ \alpha = -.00896$

E) Temperature function is:
$T = 35 e^{-.00896 t} +52$
solving for t
$t = \frac{ln (\frac{T-52}{35})}{-.00896}$
Plug in T = 98.6
$t = -31.95$

This is approximately 32 minutes before he arrived or about 1:20 AM

3 0

2 years ago

Which term would be combined with the constant +2 in the expression -8x^2 + 3x + 2?

Naddik [55]

The answer to this question is NONE OF THE ABOVE

you would take each answer and add 2 to the end of it, then factor

8 0

2 years ago

Read 2 more answers

Can i solve an addition to different variables

Yuliya22 [10]

Answer:

no unless the variables are known

Step-by-step explanation:

8 0

3 years ago

Three girls are selling cases of popcorn to earn money for a band trip in their first week Emily sold 2 3/4 cases Brenda sold 4

ss7ja [257]

They have sold ten full cases
but have sold 10 and a half cases in total

8 0

2 years ago

The length of a rectangle is 22 feet longer than the width. the perimeter is 1616 feet. find the dimensions of the rectangle.

NemiM [27]

So we can setup variable equations for this:
so we're given that the length is 22feet longer than the width!
so as an expression length is equal to 22+w
and width as an expression is just w
so the formula for the perimeter for a rectangle is 2l+2w=perimeter
so fill it in now!
1616=2(22+w)+2w
1616=44+2w+2w
1616=44+4w
1572=4w
divide by four..
w=393
and length is simply 22 more than that as stated in the question!
so length is 415
dimensions are: 415x393

7 0

3 years ago