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AlladinOne [14]
3 years ago
15

Write an expression for this phrase. 2. A third of a number n

Mathematics
1 answer:
Leona [35]3 years ago
5 0
A third of a number n 

= \frac{1}{3} * n =  \frac{1}{3} n =  \frac{n}{3}
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What type of number is v5?
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Solving the formula P = 2L + 2W for W is NOT equivalent to which equation?
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3rd one

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What is 5x to the 3rd power
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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
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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
3 years ago
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