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.
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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:
(14n - 42)*pi
Step-by-step explanation:
Circumference is 2 * pi * r. Since r in this case is 7n - 21, you can multiply r by 2 and pi, giving you (14n - 42)*pi
To find G of F first solve f(x) by replacing x with -7
F(x) = x^2 +6
= -7^2 +6
= 49 +6 = 55
So f(x) = 55
Now replace the X in the g(x) equation with 55
g(x) = x+8 / x
= 55+8 / 55
= 63/55
The last choice is the correct answer.
Answer:
(4,6)
Step-by-step explanation:
quadrant 1 always has positive coordinates so the only one with all positive coordinates is (4,6)