Answer:
We need to know what expressions we can select from to help you. Sorry!
Step-by-step explanation:
H(17) = 17
Do you need help with the other 2?
2 times 108 is 216
3 times 72 is 216
4 times 54 is 216
6 times 36 is 216
Answer:
After about 9 minutes.
Step-by-step explanation:
We can write an exponential function to model the decay of Herodium-100.
We are given that it decreases by half every minute.
The standard exponential function is given by:
Where A is the initial amount, r is the rate, and m is the rate (in this case, in minutes).
Mathman initially has 2000 mL of Herodium-100. Therefore, A = 2000.
And since it decreases by half every minute, r = 1/2. Thus:
Mathman needs to rest when the Herodium-100 levels drop to 4 mL. Therefore, we can substitute 4 for f(m) and solve for m:
Solve for m. Divide both sides by 2000:
We can take the natural log of both sides:
By logarithm properties:
Therefore:
Mathman will have to rest and replenish after 9 minutes.
Whether n is an even or odd number, you will always have an even number and an odd number multiplying each other. An even number times an odd number is always an even number.