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Step-by-step explanation:
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Answer:
According to the passage, we have the next equation:
where "K" is a proportional constant
Leaving at the end with the next equation:
Integrating the equation, we have:
where "C" is a constant
Then, we have the 2 conditions for the problem:
1) t=0 → r=10
Replacing in the equation, we have C = 10
2) t=5 → r=8
Replacing in the equation, we have K = -0.4
Finally, the time which the snowball will be completely melted will be when r = 0. So replacing in the equation
t = 25 minutes