Answer:
9x/4 + 30 + 5x/4
Step-by-step explanation:

Answer:
13/12 or 1 1/12
Step-by-step explanation:
First, I like to line up the fractions like this:
3/4
1/3
You can't add them yet because they have different denominators, so we have to get them to the same denominator first. What is a number 3 and 4 can be multiplied by? Let's use 12. So, we want both of their denominators to be 12. How do we do that? 4 times what equals 12? 3. However, whatever you multiply the denominator by, you have to do to the numerator as well. Here is what we have:
3/4 x 3
1/3
3x3 equals 9, so your first fraction is 9/12. Then, do the second fraction. 3 times what equals 12? 4. So, multiply the numerator, 1, by 4 to get 4. So, your second fraction is 4/12. Now, you have to add them together, 9+4 = 13. The denominator stays the same. So, your sum is 13/12. If you want to, you can also simplify it to a mixed number into 1 1/12.
By applying the <em>radioactive simple decay</em> model, we find that the <em>initial</em> quantity of the <em>radioactive</em> isotope is equal to approximately 5.63 grams.
<h3>How to determine the initial mass of a radioactive isotope</h3>
Mass of <em>radioactive</em> isotopes (m (t)), in grams, decay exponentially in time according to the following model:
(1)
Where:
- Initial mass, in grams- t - Time, in years
- τ - Time constant, in years
The <em>time</em> constant can be found in terms of half-life:
τ = t'/㏑ 2
If we know that t' = 24100 yr, t = 1000 yr and m(t) = 5.4 g, then the initial mass of the <em>radioactive</em> isotope is:
τ = 24100 yr/㏑ 2
τ ≈ 34768.95 yr


By applying the <em>radioactive simple decay</em> model, we find that the <em>initial</em> quantity of the <em>radioactive</em> isotope is equal to approximately 5.63 grams.
To learn more on radioactive decay: brainly.com/question/1770619
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