In how many ways can 9 different pizza toppings be chosen from 23 available toppings?
1 answer:
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Answer:
∴35.97 mg caffeine would be left in the system after 5 hours.
Step-by-step explanation:
Given that,
A cup of coffee has approximately 310 mg of caffeine.
Caffeine decrease at a rate 35% per hour.
Exponential Function:
y(t)= Amount caffeine after t hours
= Initial amount of caffeine
r= rate of decrease
t = Time in hour.
Here y(t)=?, = 310 mg, r=35%=0.35, t= 5 hours
=35.97 mg
∴35.97 mg caffeine would be left in the system after 5 hours.
An inverse function is a function that reverses another function, so we have a function called:
Then, the inverse function will be as follows:
Given that
, we need to isolate x in terms of y:
∴
So:
and 
therefore, exchanging variables x and y:
and 
and 
Which are the figures shown below.
Then, the inverse function will be as follows:
Given that
∴
So:
therefore, exchanging variables x and y:
Which are the figures shown below.