The effect of caffeine, c, in milligrams, on a person’s heart rate, r, in beats per minute can be modeled by the function r(c)=75+.05c. the dissipation of caffein from the bloodstream over time since ingestion, t, in hours can be modeled by the function c(t)= 345e^-.1215t. find and simplify the composite function: r(c(t))=

The composite function is .

Step-by-step explanation:

It is given that the effect of caffeine, c, in milligrams, on a person’s heart rate, r, in beats per minute can be modeled by the function

        .... (1)

The dissipation of caffeine from the bloodstream over time since ingestion, t, in hours can be modeled by the function

    .... (2)

We have to find the composite function r(c(t)).

Using equation (1), we get

Using equation (2), we get

Therefore the composite function is .

54 kilometers per hour

step-by-step explanation:

according to rules:

1 km = 1000 meter

which means that 1 meter = 1/1000 km

1 hour = 3600 second [ as 1 hour = 60 min = 60 *60 seconds ]

which means that 1 second = 1/3600 hour

therefore, 1 kilometer/hour =

thus to convert 15 meter per second to kilometer per hour, we multiply 15 to 3.6 kilometer/hour.

15 meter/second=   which is the required answer.