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katovenus [111]
3 years ago
5

20 POINTS I NEED ANSWER

Mathematics
2 answers:
Inessa05 [86]3 years ago
7 0
The missing side is B.) 8.4
Vika [28.1K]3 years ago
3 0

Answer:

8.4

Step-by-step explanation:

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Group Work 2.6 Newton's Law of Cooling states that an object cools at a rate proportional to the difference between the temperat
Airida [17]

Answer:

ΔT = ΔT0 e^-K T

As I understand Newton's Law of Cooling

ΔT at any time is the difference between the temperature and the surroundings

Originally       ΔT0 = 95 - 22   difference between 95 and room temperature

65 - 22 = 33 = 73 e^-KT      where t is time to cool to 65 deg

ln (33/73) = -KT       K = .794 / 5 = .159    where 5 is time to cool to 65 deg

40 - 22 = 73 e^-.159 T      where t is time to cool to 40 deg

18 = 73 e^-.159 T

ln (18 / 73) = -.159 T

T = 8.8 min

It would take 8.8 min for the object to cool to 40 deg C

Suppose the object cooled from 95 to 90 deg, then

ln 68 / 73 = -.159 T     and T = .45 min

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2 years ago
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