Answer: Option C

Step-by-step explanation:
To solve this problem use the properties of the logarithms.
We know that the inverse function of
is
.
So when composing the function with its inverse function we have to:
.
Now apply this property on both sides of the equation

the answer is the option C
Answer:
We have 197 g of Co-60 after 18 months.
Step-by-step explanation:
We can use the decay equation.

Where:
- M(f) and M(i) are the final and initial mass respectively
- λ is the decay constant (ln(2)/t(1/2))
- t(1/2) is the half-life of Co
- t is the time at the final amount of m
<u>Therefore, we have 197 g of Co-60 after 18 months.</u>
I hope it helps you!
The probability that exactly 4 of the selected adults believe in reincarnation is 5.184%, and the probability that all of the selected adults believe in reincarnation is 7.776%.
Given that based on a poll, 60% of adults believe in reincarnation, to determine, assuming that 5 adults are randomly selected, what is the probability that exactly 4 of the selected adults believe in reincarnation, and what is the probability that all of the selected adults believe in reincarnation, the following calculations must be performed:
- 0.6 x 0.6 x 0.6 x 0.6 x 0.4 = X
- 0.36 x 0.36 x 0.4 = X
- 0.1296 x 0.4 = X
- 0.05184 = X
- 0.05184 x 100 = 5.184
- 0.6 x 0.6 x 0.6 x 0.6 x 0.6 = X
- 0.36 x 0.36 x 0.6 = X
- 0.1296 x 0.6 = X
- 0.07776 = X
- 0.07776 x 100 = 7.776
Therefore, the probability that exactly 4 of the selected adults believe in reincarnation is 5.184%, and the probability that all of the selected adults believe in reincarnation is 7.776%.
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Answer:
h = -7
Step-by-step explanation:
- 3 = h + 4
- 3 - h = 4
- h = 4 + 3
- h = 7
G(x)=|x+3|-5
down five units means add -5 to then end of the equation