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Sagot :
Answer:
The temperature at the start is 35F
The temperature of the room is 74F
Step-by-step explanation:
Given
[tex]T(m) = 74 - 39(0.87)^m[/tex]
Solving (a): The temperature at the start.
To do this, we set: [tex]m = 0[/tex]
So, we have:
[tex]T(0) = 74 - 39(0.87)^0[/tex]
[tex]T(0) = 74 - 39*1[/tex]
[tex]T(0) = 74 - 39[/tex]
[tex]T(0) = 35[/tex]
Hence, the temperature at the start is 35F
Solving (b): The room temperature
We have:
[tex]T(m) = 74 - 39(0.87)^m[/tex]
To get the temperature of the room, we simply remove the exponential function.
So, we have:
[tex]Initial = 74[/tex]
Hence, the temperature of the room is 74F
The initial temperature of the liquid is 35 F and the room temperature is 74 F.
What is Melting Point?
The melting point is the temperature at which the solid starts converting into liquid.
Given here,
[tex]T_m = 74- 39(0.87)^m[/tex]
Leat the [tex]m = 0,[/tex]
So,
[tex]T_0 = 74- 39(0.87)^0\\\\T_0 = 35 \rm \ F[/tex]
Thus the initial temperature is 35 F.
Now remove the exponential to get the room temperature,
So,
[tex]T_{RT} = 74[/tex]
Therefore, the initial temperature of the liquid is 35 F and the room temperature is 74 F.
Learn more about the Melting point:
https://brainly.in/question/608391
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