Mathematics, 02.06.2021 06:20, jashart95
After heating up in a teapot, a cup of hot water is poured at a temperature of 205 F. The cup sits to cool in a room at a temperature of 68 F. Newton's Law of Cooling explains that the temperature of the cup of water will decrease proportionally to the difference between the temperature of the water and the temperature of the room, as given by the formula below:
T=T_a+(T_0-T_a)e^{-kt}
T_a= the temperature surrounding the object
T_0 = the initial temperature of the object
t= the time in minutes
T= the temperature of the object after tt minutes
k= decay constant
The cup of water reaches the temperature of 178 F after 2.5 minutes. Using this information, find the value of k, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the cup of water, to the nearest degree, after 4.5 minutes.
Answers: 3
Mathematics, 21.06.2019 19:30, sk9600930
Sundar used linear combination to solve the system of equations shown. he did so by multiplying the first equation by 5 and the second equation by another number to eliminate the y-terms. what number did sundar multiply the second equation by? 2x+9y=41 3x+5y=36
Answers: 1
Mathematics, 21.06.2019 19:30, nmg9
The revenue each season from tickets at the theme park is represented by t(c)=5x. the cost to pay the employees each season is represented by r(x)=(1.5)^x. examine the graph of the combined function for total profit and estimate the profit after four seasons
Answers: 3
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