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:
Area of resulting triangle will be 900 
.
Step-by-step explanation:
When sides of any polygon if scaled by a factor of k
then area is scaled by 
According to the above statement
therefore here in the question since area of original triangle was 36
and both base and height are scaled by a factor of 5.
therefore area of scaled triangle will be 
times of the original
that is 25 x 36 which gives 900
So area of resulting triangle will be 900
It is---------- linear--------------
Answer:
we can draw the graph of cosine with amplitude 2.
Step-by-step explanation:
In the given function g(x) = 2cosx we know the following parameters which are helpful to draw the graph.
Its a cosine graph given in the form of y = acos(Bx + c) + d
Here a is amplitude, period = , c = phase shift, d = vertical shift
We know a = 2, B = , c = 0, d = 0.
Answer: 12.6
Step-by-step explanation:
