Answer:
Step-by-step explanation:
A bookstore charges $4 for all children's books. Elijah graphs the function that gives the total cost, y, in dollars to buy x nu
2 answers:
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Answer:
calories
Step-by-step explanation:
Given: The racer moves at miles per hour expends energy at a rate of
calories per hour.
To find: Energy in calories, required to complete a marathon race miles at this pace.
Solution: We have,
The racer moves at miles per hour.
The racer expends energy at a rate of calories per hour.
So, energy expended while moving miles
calories.
Now, energy expended while moving mile
calories.
So, energy expended while moving miles
calories.
Hence, calories of energy is required to complete a marathon race
miles at this pace.
Answer:
The initial mass of the sample was 16 mg.
The mass after 5 weeks will be about 0.0372 mg.
Step-by-step explanation:
We can write an exponential function to model the situation.
Let the initial amount be A. The standard exponential function is given by:
Where r is the rate of growth/decay.
Since the half-life of Palladium-100 is four days, r = 1/2. We will also substitute t/4 for t to to represent one cycle every four days. Therefore:
After 12 days, a sample of Palladium-100 has been reduced to a mass of two milligrams.
Therefore, when x = 12, P(x) = 2. By substitution:
Solve for A. Simplify:
Simplify:
Thus, the initial mass of the sample was:
5 weeks is equivalent to 35 days. Therefore, we can find P(35):
About 0.0372 mg will be left of the original 16 mg sample after 5 weeks.