We can model the function between a and b as a linear function of negative slope because it is a short interval and the change is not very significant.
We have then that the average rate of change in that interval is:
m = (f (a) - f (b)) / (a-b)
Substituting the values:
m = (34.25 - 26) / (2.5-3.6)
m = -7.5
Negative, because the function decreases in that interval.
Answer:
a reasonable estimate of the average rate of change of the height of the rocket, in meters per second, between a and b seconds is:
m = -7.5 m / s
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:
<h2>
9 weeks</h2>
Step-by-step explanation:
Sol had $1535 in his savings
has been spending $30 each week for guitar lessons.
If his current balance is $1265
find:
how many weeks has he been taking lessons?
$1535 - $1265 = $270
<u> $270 </u> = 9 weeks
$ 30 per week
Answer:
I got 0 or 18/5
Step-by-step explanation: