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A bottle of white wine at room temperature is placed in a refrigerator at p.m. Its temperature after hr is changing at the rate of . By how many degrees will the temperature of the wine have dropped by p.m.? What will the temperature of the wine be at p.m.?
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Q. A bottle of white wine at room temperature is placed in a refrigerator at p.m. Its temperature after hr is changing at the rate of . By how many degrees will the temperature of the wine have dropped by p.m.? What will the temperature of the wine be at p.m.?
- Calculate Time Difference: The wine is placed in the fridge at p.m. and we want to know the temperature at p.m., so we calculate the time difference.Time difference = p.m. - p.m. = hours.
- Find Temperature Change Rate: The temperature change rate is given by the function . We need to plug into the function to find the temperature drop after hours. Temperature drop = .
- Calculate Exponent Part: Now we calculate the exponent part: .
- Calculate : Next, we calculate . Using a calculator, .
- Find Temperature Drop: Now we multiply this by to find the temperature drop.Temperature drop = .Oops, we made a mistake here. The temperature drop should be a positive value since we're talking about how much it has decreased, not the direction of change.
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