9514 1404 393
Answer:
Step-by-step explanation:
The decay factor is 1 -25% = 0.75 per hour, so the exponential equation can be written ...
r(t) = 1450·0.75^t . . . . . milligrams remaining after t hours
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a) After 4 hours, the amount remaining is ...
r(4) = 1450·0.75^4 ≈ 458.79 . . . mg
About 459 mg will remain after 4 hours.
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b) To find the time it takes before the amount remaining is less than 5 mg, we need to solve ...
r(t) < 5
1450·0.75^t < 5 . . . . use the function definition
0.75^t < 5/1450 . . . . divide by 1450
t·log(0.75) < log(1/290) . . . . . take logarithms (reduce fraction)
t > log(1/290)/log(0.75) . . . . . divide by the (negative) coefficient of t
t > 19.708
It will take about 20 hours for the amount of the drug remaining to be less than 5 mg.
Rolling 1 die and flipping a coin 2 times would be the correct method.
There are 24 candidates so we need an experiment that has 24 different outcomes. To find the total number of outcomes, you multiply the number of outcomes for each individual part of the trial.
A dice has 6 outcomes and each coin has 2.
6 x 2 x 2 = 24
We have a total set of 15 people, we need to arrange them in 4 spots, where each individual must be unique. Therefore we have:
There are 32760 possible solutions.
We then need to choose 12 appetizers from a set of 16 appetizers, where each individual appetizer must be unique, so we have:
There are 871782912000 possible solutions.
The answer is f=3. You get this by combining like terms.