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.
That is false... coefficients in polynomials can lead in either positive or negative
Slope intercept form is y=mx+b
m=slope
b=y-intercept
the slope is the rate of change of the graph, basically rise/run (change in y divided by change in x)
the y intercept is where the graph intercepts the y axis
we usually use this form because we can find the slope and find where it hits the y axis.
there are other forms that may be helpful later on, but this one is usually the easiest form to find from a graph
The statement is an equation which is written in text form or in words. when we write it as an equation it will be:
squares of w and x is equal to w² and x² so, their sum means they are going to add.
3 + (w² + x²) = 32
three plus the sum of w² and x² is 32.
when we describe or write quantity with an equal sign it makes an equation.
