Answer:
The age of the spear head is of 1938 yers.
Step-by-step explanation:
The amount of carbon 14 after years is given by the following equation:
In which Q(0) is the initial amount and r is the decay rate.
The half life of carbon 14 is 5700 years.
This means that 
So
So
We have to find:
t for which Q(t) = 0.79Q(0). So
Rounding to the nearest year.
The age of the spear head is of 1938 yers.
Answer:82
Step-by-step explanation:
Switch the x and y values to find the inverse.
<span>y=<span>x−3x+2</span></span>
The inverse is given by
<span>x=<span>y−3y+2</span></span>
Solve for y now:
<span>x(y+2)=y−3</span>
xy+2x=y−3
2x+3=y−xy
<span>2x+3=y(1−x)</span>
<span><span>2x+31−x</span>=y</span>
The inverse, <span><span>f−1</span>(x)</span>, is given by <span><span><span>f−1</span>(x)</span>=<span>2x+31−x</span></span>.
The function can be graphed using knowledge of asymptotes, invariant points, and intercepts. Prepare a table of values for <span>f(x)</span>. Recall that <span><span>f−1</span>(x)</span> is simply a transformation of(x) over the line y=x, so <span><span>f−1</span>(x)</span> has a table of values where X and y are inverted relative to <span>f(x)</span>.
For example, if the point (2,3) belongs on the graph of <span>f(x)</span>, the point (3,2) belongs on <span><span>f−1</span>(x)</span>.
Replace <span><span>F<span>(X)</span></span><span>FX</span></span> with <span>yy</span>.<span><span>y=<span><span><span>X3</span>+<span>2X</span></span><span><span>−3</span>X</span></span></span><span>y=<span><span><span>X3</span>+<span>2X</span></span><span><span>-3</span>X</span></span></span></span>Interchange the variables.<span><span>X=<span><span><span>y3</span>+<span>2y</span></span><span><span>−3</span>y</span></span></span><span>X=<span><span><span>y3</span>+<span>2y</span></span><span><span>-3</span>y</span></span></span></span>
Answer:
10.6
Step-by-step explanation:
