Answer:
Hello,
Step-by-step explanation:
Q.5(b) The population {(P) in millions} of a country is estimated by the function, P=125e0.035t, t = time measured in years since 1990. (a) what is the population expected to equal in year 2000 (b) determine the expression for the instantaneous rate of change in the population (c) what is the instantaneous rate of change in the population expected to equal in year 2000.
![P(t)=125*e^{0.035*t}\\a)\\P(2000)=125*e^{0.035*(2000-1990)}=177.38...\\\\b)\\P'(t)=125*0.035*e^{0.035*t}\\\\c)\\\\P'(2000)=125*0.035*e^{0.035*(2000-1990)}=6.2084...](https://tex.z-dn.net/?f=P%28t%29%3D125%2Ae%5E%7B0.035%2At%7D%5C%5Ca%29%5C%5CP%282000%29%3D125%2Ae%5E%7B0.035%2A%282000-1990%29%7D%3D177.38...%5C%5C%5C%5Cb%29%5C%5CP%27%28t%29%3D125%2A0.035%2Ae%5E%7B0.035%2At%7D%5C%5C%5C%5Cc%29%5C%5C%5C%5CP%27%282000%29%3D125%2A0.035%2Ae%5E%7B0.035%2A%282000-1990%29%7D%3D6.2084...)
Answer:
c = 420t . . . . c is calories burned; t is hours riding at 15 mph
Step-by-step explanation:
There is not enough information given to write a function rule relating all the variables to calories burned. If we assume that calories are burned at the constant rate of 420 calories per hour, then total calories will be that rate multiplied by hours:
c = 420·t
where c is total calories burned by the 154-lb person, and t is hours riding at 15 mph.
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In general, rates are related to quantities by ...
quantity = rate · time . . . . . where the rate is (quantity)/(time period)
Answer:
13
Step-by-step explanation:
Answer: m∠D = 65°
Step-by-step explanation:
The best solve method for problems like this is say the sum of the angle values equals 360.
2x-15+2x-15+x+x = 360
Then from here you just simplify.
4x+2x-30 = 360
6x = 390
x = 65
So the measure of Angle D equals 65 degrees.
Answer:
Missing information.
Step-by-step explanation:
However, the domain is all the x- values. The range is all the y-values (that do not repeat).
So when you look at your graph, find your x values and y-values and write them as set. That is your answer.