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MaRussiya [10]
3 years ago
10

Please HELP ASAP!!

Mathematics
1 answer:
timama [110]3 years ago
7 0

Interquartile Range: 47.5


standard deviation for the data set? 112, 149, 112, 148, 139, 121, 116, 134,148

<span>Express your answer as a decimal to the nearest tenth=15.9</span>

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A sweatshirt costs $35. Find the total cost if the sales tax is 7.75%.
tensa zangetsu [6.8K]

Answer:

37.7125

Step-by-step explanation:

35 * 1.0775

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Hi. Sorry this is bad quality. <br><br> What is the slope of the line on the graph?
d1i1m1o1n [39]
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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
slavikrds [6]

Answer:

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

b. C_{0}=122

c. k=-0.00259

d. t=153.39838\\ minutos

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

b. The differential equation obtained is a differential equation of separable variables:

\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

c. After 33 minutes of serving the coffee has cooled to 180°:

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

d.

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

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