<span>Let us assume that the rate of decay follows a 1st
order reaction. Therefore the formula for rate of decay is:</span>
<span>A = Ao e^-kt --->
1</span>
Where,
A = final value after time t
Ao = initial value at t zero
k = rate constant
t = time elapsed
First let use find for the value of constant k. We know
that the formula for half-life is:
t-half life = ln 2 / k
Finding for k:
5730 = ln 2 / k
k = 1.21 * 10^-4 yr^-1
Since it is stated that A = 0.00061 Ao, therefore
substituting all the values into equation 1:
0.00061 Ao / Ao = e^(-1.21 * 10^-4 yr^-1 * t)
Finding for t:
t = 61,173.98 years
<span>The person died about 61,174 years ago.</span>
The ratio In simplified form of those who both bike and run to those who do neither is 12: 1.
The missing data is attached in the image
<h3>What is Ratio ?</h3>
When two numbers are divided and written in the form p:q then they are called in Ratio.
It can be understood from the data given
The people who run and Bike is 42
The people who do neither is 3
The ratio of those who both bike and run to those who do neither is 42 :3
In simplified form 12: 1
Therefore the ratio In simplified form of those who both bike and run to those who do neither is 12: 1.
To know more about Ratio
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<em>The</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>1</em><em>0</em><em>√</em><em>2</em>
<em>please</em><em> </em><em>see</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em><em> for</em><em> full</em><em> solution</em>
<em>H</em><em>ope</em><em> </em><em>it</em><em> </em><em>helps</em>
<em>Good</em><em> </em><em>luck</em><em> </em><em>on</em><em> </em><em>your</em><em> assignment</em>
Answer:
1.72 2.128 3.8 4.15
Step-by-step explanation: