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valentina_108 [34]
2 years ago
8

Look at the steps used when solving 3(x - 2) = 3 for X.

Mathematics
1 answer:
Setler [38]2 years ago
4 0

Answer:

3×-6=3

3×=3+6

3×=9

×=3

Step-by-step explanation:

multiply 3 by the variables in the bracket.

then you will get 3×-6=3.

take the -6 to the right hand side and it becomes+6

then you get 3×=3+6 therefore =3×=9

then divide both sides by 3.

3×÷3 and 9÷3

×=3

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The starting weight of the radioactive isotope = 96 grams

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After 2 hours the weight is half as compared to the weight after previous hour. So weight after 2 hours = 24 grams.

This means, after every hour the weight is being halved. The half life of radioactive isotope is one hour.

Since after every hour, the weight is being halved, the weight of the isotope can be modeled by an exponential equation.

So,

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The general equation of the sequence will be:

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Here t represents the number of hours. Using various values of t we can find the weight of the radioactive isotope at that time.

We can plot the sequence using the above equation. The graph is attached below.

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