Please give me Hundred Percent correct answer in the order to get positive feedback please show me neat and clean work Newton's Law of Cooling tells us that the rate of change of the temperature of an object is proportional tothe temperature difference between the object and its surroundings. This can be modeled by thedTdifferential equation = k(T - A), where I is the temperature of the object after t units of timedthave passed, A is the ambient temperature of the object's surroundings, and k is a constant ofproportionality.Suppose that a cup of coffee begins at 176 degrees and, after sitting in room temperature of 67 degreesfor 16 minutes, the coffee reaches 171 degrees. How long will it take before the coffee reaches 151degrees?Include at least 2 decimal places in your answer.86.66X minutes

We have to find time taken by coffee to reach 151 degrees using given data.

Newton's Law of Cooling tells us that the rate of change of the temperature of an object is proportional to the temperature difference between the object and its surroundings. This can be modeled by the dT differential equation dt k(TA), where T is the temperature of the object after t units of time have passed, A is the ambient temperature of the object's surroundings, and k is a constant of proportionality. = Suppose that a cup of coffee begins at 176 degrees and, after sitting in room temperature of 67 degrees for 16 minutes, the coffee reaches 171 degrees. How long will it take before the coffee reaches 151 degrees? Include at least 2 decimal places in your answer.