Answer:
The bones were 12,485 years old at the time they were discovered.
Step-by-step explanation:
Amount of the element:
The amount of the element after t years is given by the following equation, considering the decay rate proportional to the amount present:
In which A(0) is the initial amount and k is the decay rate, as a decimal.
The radioactive element carbon-14 has a half-life of 5750 years.
This means that , and we use this to find k. So
So
A scientist determined that the bones from a mastodon had lost 77.8 % of their carbon-14. How old were the bones at the time they were discovered?
Had 100 - 77.8 = 22.2% remaining, so this is t for which:
Then
The bones were 12,485 years old at the time they were discovered.
Answer:
49 cm
Step-by-step explanation:
To find the height of the plant after 4 months, add 12 to 37, since the plant grows 6 cm each month:
37 + 12
= 49
So, after a total of 4 months, the plant will be 49 cm tall
X + x + 2 = 14
2x + 2 = 14
2x = 12, x = 6
Solution: the smallest of the two integers is 6
Does it say anything about slope?
Answer:
Should be in the picture linked.
Step-by-step explanation:
If the chart is labeled by five, ten, fifteen, and twenty at the bottom X axis for gallons, then this should be correct. If not, could you take another picture of the problem? I could redo it then. Hopefully I helped, good luck