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:
Step-by-step explanation:
Triangle XYZ is a right angle triangle.
From the given right angle triangle
XZ represents the hypotenuse of the right angle triangle.
With ∠34 as the reference angle,
YZ represents the adjacent side of the right angle triangle.
XY represents the opposite side of the right angle triangle.
To determine x, we would apply the Cosine trigonometric ratio
Cos θ = opposite side/hypotenuse. Therefore,
Cos 34 = x/28
x = 28Cos34 = 28 × 0.8290
x = 23.212
To the nearest tenth, it becomes
23.2
0.75 is equal to 6\8
5.8 is > 4\5
a decimal greater than 5\8 is 1.2
0.2 > 1\4
0.7>0.6
a decimal smaller than 6\8 is 0.01
The one that is not equal to -7\5 is -11\5
The answer is D
Answer:
the answer is 69
hope i helped <3
Step-by-step explanation:
Answer:
1. The two numbers are 4 and 8.
Step-by-step explanation:
1) variables: x and y
2) x + y = 12, y - x = 4
3) graph using desmos or another graphing calculator
4) the solution is x = 4, y = 8, or 4 and 8. This means that 4 and 8 can be added to equal 12, and the difference between them is 4.
