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:
1 (-9, -4)
2 (-6, 2)
Step-by-step explanation:
1- when you reflect along the x axis keep the x the same and change the y.
2- when you reflect along the y axis keep the y the same and change the x.
Answer:
Step-by-step explanation:
3x+4y=29 .......(1)
6x+5y=43 .......(2)
Multiply equation (1) by 2
6x + 8y = 58......(3)
Substracting (2) from (3)
8y - 5y = 58 - 43
3y = 15
Dividing by 3
3y/3 = 15/3
y = 5
Substituting y = 5 into (2)
6x+5y=43
6x + 5(5) = 43
6x + 25 = 43
6x = 43 - 25
6x = 18
Dividing by 6
6x/6 = 18/6
x = 3