Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference between its temperature and that of its surroundings. suppose that the temperature of a cup of coffee obeys newton's law of cooling. if the coffee has a temperature of 200 degrees fahrenheit when freshly poured, and 2.5 minutes later has cooled to 180 degrees in a room at 76 degrees, determine when the coffee reaches a temperature of 130 degrees. the coffee will reach a temperature of 130 degrees in minutes.

Step-by-step explanation:

As per Newton law of cooling we have temperature of a cooling object at time t is given by

T(t) =

where

When t=2.5, we have

Hence equation is

Using this we find that

i.e. At 1.6 seconds the coffee will reach a temperature of 130 degrees

answer: the distance

step-by-step explanation:

to calculate the distance d of a line segment with endpoints (x1, y1) and (x2, y2) use the formula d (x2 x1)2 (y2 y1)2. to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) use the formula

answer: yard ramps with a level off platform are typically 36 feet long. truck, rather than at an angle, enabling access to those pallets at the very back of the truck. if you are using your yard ramp to convert a loading dock into a drive-in door, we even at 60 inches (5 feet) high and a 30 foot ramp, the slope of the ramp will be less

step-by-step explanation: