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nevsk [136]
3 years ago
10

ANSWERS plZ plZ plZ plZ plZ plZ

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
7 0

Answer: the page wont load all the way

Step-by-step explanation: she gonna need a lot of paint tho

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what are the given lengths?

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What is 5 x 5 is it 25 or 35
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25 7 x 5 is 35

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In a murder investigation, the temperature of a corpse was 32.5 degrees C at 1:30 pm and 30.3 degrees C an hour later. Normal bo
svp [43]
Let T(t) be the temperature of the body t hours after 1:30 PM. Then T(0) = 32.5 and T(1) = 30.3.

Using Newton's Law of Cooling, \dfrac{dT}{dt} = k(T - T_s), we have \dfrac{dT}{dt} = k(T-20). Now let y = T - 20, so
y(0) = T(0) - 20 = 32.5 - 20 = 12.5, so y is a solution to the initial value problem dy/dt = ky with y(0) = 12.5.
By separating and integrating, we have y(t) = y(0)e^{kt} = 12.5e^{kt}.

y(1) = 30.3 - 20\ \Rightarrow\  12.5e^{k(1)} = e^{k} = \frac{10.3}{12.5}\ \Rightarrow \\
k = \ln \frac{10.3}{12.5}


y(t) = 37 - 20\ \Rightarrow\ 12.5e^{kt} = 17\ \Rightarrow\ e^{kt} = \frac{10.3}{12.5} \ \Rightarrow \\ \\
kt = \ln \frac{10.3}{12.5}\ \Rightarrow\ t = \left( \ln \frac{17}{12.5}  \right)/ \frac{10.3}{12.5}  \approx -1.588 \mathrm{\ h}

≈ 95 minutes. Thus the murder took place about 95 minutes before 1:30 PM, or 11:55 AM.
6 0
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