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.
They are collinear points and are called planes.
Answer:
see the explanation
Step-by-step explanation:
Let
A (1,6)------> location Brianna's house on a map
B (5,3)------> location Jordan's house on a map
we know that
One possible path from Brianna's house to Jordan's house it's a straight line ( the shortest distance)
using a graph tool
see the attached figure
<em>Find the distance points AB</em>
the formula to calculate the distance between two points is equal to

substitute the values




The distance from Brianna's house to Jordan's house is 5 units
Answer:
s = 8t
Step-by-step explanation:
.............................