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Answer:
(b) 67
Step-by-step explanation:
A solution to the differential equation describing the temperature according to Newton's Law of Cooling could be written as ...
T = (final temp) + (initial difference)×(decay factor)^t
where the decay factor is the fraction of change during 1 unit of time period t.
__
Here, the initial difference of 100-25 = 75 degrees decays to 90-25 = 65 degrees in 1 minute. So, the units of t are minutes, the decay factor is 65/75, the initial difference is 75 degrees, and the final temperature is 25 degrees. That lets us write the equation as ...
T = 25 +75(65/75)^t
Then for t=4, the temperature is ...
T = 25 +75(13/15)^4 ≈ 67.3 . . . . degrees
After 4 minutes the temperature of the coffee is about 67 degrees.
Answer:
The new points to the triangle will be:
Step-by-step explanation:
Because the reflection point is at , all x values will subtract their distances from
to get their new values. The y values remain the same.
The starting values are:
Point is 5 units away from
, so we'll subtract 5 from -1 to get the new x value:
, so
.
Point is also 5 unit away from
, so we'll subtract 5 from -1 to get the new x value:
, so
.
Point is 7 units away from
, so we'll subtract 7 from -1 to get the new x value:
, so
.