A cup of coffee has approximately 310 mg of caffeine. Each hour, the caffeine in your system decreases by about 35%. How much caffeine would be left in your system after 5 hours? Round to the nearest whole.

Amount of caffeine left after 5 hours = 36 mg

Step-by-step explanation:

We are told that the cup has 310 mg of caffeine originally.

Since it decreases by 35 percent or 0.35 each hour, it means that for each additional hour, the new amount of caffeine would be (1 - 0.35) x previous amount i.e. 0.65 x previous amount. Thus;

After 0 hour, we have; 310 mg

After 1 hour, we have; 310(0.65)

After 2 hours, we have; 310(0.65)(0.65)

After 3 hours, we have; 310(0.65)(0.65)(0.65)

We can see this follows a pattern of;

A(t) = 310(0.65)^(t)

Where;

A(t) is the amount left after t hours

And t is time t hours

Thus, amount left after 5 hours is;

A(5) = 310(0.65)^(5)

A(5) = 310 x 0.11603

A(5) ≈ 36 mg

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,

answer: a. 13/44

step-by-step explanation: judging by the information given to us, we are looking for experimental probability. we can see that 13 males have chosen chocolate ice cream. there are 44 ice creams in total (remember that the total is always the denominator). so our answer is 13/44.