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Given :
A line 2x + 1 =0 .
To Find :
The slope of the given line .
Solution :
We know , slope of line is given by the tangent of the angle between the x-axis and the line .
Now, for line 2x + 1 =0 i.e .
The line is perpendicular to x-axis and cuts the x-axis at .
Therefore , the angle between the line and x-axis is .
So , slope i.e undefined .
Therefore , the slope of given line is not defined .
Hence , this is the required solution .
Using an exponential function, it is found that the bottle contains 255,960 atoms of tritium after 11 years.
<h3>What is an exponential function?</h3>A decaying exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
In this problem:
- The bottle initially contained 450,000 tritium atoms, hence A(0) = 450000.
- The amount decays by about 5% per year, hence r = 0.05.
Thus, the equation is given by:
After 11 years, the amount is given by:
The bottle contains 255,960 atoms of tritium after 11 years.
More can be learned about exponential functions at brainly.com/question/25537936