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sammy [17]
3 years ago
8

What is 43.78 in word form

Mathematics
2 answers:
KengaRu [80]3 years ago
8 0
43.78 = forty three and seventy eight hundredths.
tekilochka [14]3 years ago
3 0
Answer:  Forty three and seventy ate hundredth(s) 
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(1 point) Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference betw
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Answer:

a. \frac{dT}{dt}=k(T-Tm); T(0)=190

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Step-by-step explanation:

a. Newton's law of cooling states that the speed with which a body is cooled is proportional to the difference between its temperature and that of the medium in which it is found. Then, the initial value problem is given by:

Tm=68

\frac{dT}{dt}=k(T-Tm); T(0)=190

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\frac{dT}{T-Tm}=kdt\\\\\int {\frac{dT}{T-Tm}}=\int{kdt}\\\\Ln|T-Tm|=kt+C\\\\T(t)=C_{0}e^{kt}+Tm=C_{0}e^{kt}+68\\\\T(0)=C_{0}e^{k(0)}+68=190\\\\C_{0}=122

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T(33)=122e^{33k}+68=180\\\\e^{33k}=\frac{112}{122}\\\\33k=Ln(\frac{112}{122})\\\\k=-0.00259

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150=122e^{-0.00259t}+68\\\\Ln(\frac{150-68}{122})=-0.00259t\\\\t=153.39838\\\\

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3 years ago
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