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.
Answer:
160.5
Step-by-step explanation:
Arrange the data in an ascending order and the median is the middle value. if the number of values is an even number, the median will be the average of the two middle numbers.
Well first set up the first ratio as 6/24. That is commercial mins over show time mins. Then to keep the units the same convert 2 hours into minutes which would be 120 minutes. Then set up your next ratio as x/120 since you’re trying to find the commercial minutes. Then cross multiply so that it’s 24x=720 and then x=30 and that’s the amount of commercial minutes for 2 hours.
Answer:The answer would be b
Step-by-step explanation:
Length (L): 2w + 6
width (w): w
Perimeter (P) = 2L + 2w
240 = 2(2w + 6) + 2(w)
240 = 4w + 12 + 2w
240 = 6w + 12
228 = 6w
38 = w
Length (L): 2w + 6 = 2(38) + 6 = 76 + 6 = 82
Answer: width = 38 ft, length = 82 ft
