Answer:
m= -20/11
Step-by-step explanation:
Slope is equal to the change in <em>y</em> over the change in <em>x</em>, or rise over run.
m= change in y/ change in x
The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).
m
=
y
2
−
y
1/
x
2
−
x
1
Substitute in the values of x and y into the equation to find the slope.
m= 3-(-17)/-6-(5)
m= -20/11
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: I do not age
Step-by-step explanation: I have magical Phoenix powers and i drink a lot of ageless potions
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