Answer:

Step-by-step explanation:

Answer:
D. About 800 years
Step-by-step explanation:
Use the half-life equation:
A = A₀ (½)ⁿ
where A is the final amount,
A₀ is the initial amount,
and n is the number of half-lives.
0.90A₀ = A₀ (½)ⁿ
0.90 = (½)ⁿ
To solve for n, take log of both sides:
log 0.9 = n log 0.5
n = (log 0.9) / (log 0.5)
n = 0.152
It takes 0.152 half-lives. The half-life of carbon-14 is 5730 years.
0.152 × 5730 years = 871 years
The closest answer is D.
Answer:
The answers are
and
.
Step-by-step explanation:
Proportions are fractions that can be made by using the given numbers, which in this case are 2, 5, 8, and 20. Let's pair each one with the other three and then simplify if possible.
First, let's begin with 2:



Then, let's do 5:



Note that we already have
, so we do not need to include an additional one.
Now, let us do 8:



See how we already have
, so we won't have to include that as well.
Finally, let's do 20:



Now see that we already have both
and
, so we won't have to include both of them, as they are both extras.
Hence, the answers are
and
.
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You would have to begin at (2,4) to reach (5,6)