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Question

You remove a baked potato for me 400°F oven and place it on the counter and your 67°F kitchen. After 20 minutes, you measure the temperature of the potato to be 128°F. What will the temperature of the potato be after 26 minutes?

Answer

145.4°F

  • Q:What is the initial temperature of the potato? A:The initial temperature of the potato is 400°F.
  • Q:What is the temperature of the kitchen? A:The temperature of the kitchen is 67°F.
  • Q:What is the final temperature of the potato after 20 minutes? A:The final temperature of the potato after 20 minutes can be calculated using the following formula: final temperature = (initial temperature - room temperature) * (e^(kt)) + room temperature, where t is the time in minutes, k is a constant depending on the properties of the potato, and e is the mathematical constant e. Therefore, final temperature = (400 - 67) * (e^(kt)) + 67 = 128. Solving for k, we get k = ln((128 - 67) / (400 - 67)) / 20 = 0.0315. So the final temperature of the potato after 26 minutes can be calculated as: final temperature = (400 - 67) * (e^(0.0315*26)) + 67 = 145.4°F.