Answer
- 3/2
Step-by-step explanation:
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Answer:
The value of x is 30°
Step-by-step explanation:
X° + 90° = 129° (Exterior angle property)
x° = 129° - 99° = 30°
<u>x°</u><u> </u><u>=</u><u> </u><u>3</u><u>0</u><u>°</u>
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Answer: A ≈ 74.35
Step-by-step explanation: Explanation below.
Answer:
a) The half life of the substance is 22.76 years.
b) 5.34 years for the sample to decay to 85% of its original amount
Step-by-step explanation:
The amount of the radioactive substance after t years is modeled by the following equation:

In which P(0) is the initial amount and r is the decay rate.
A sample of a radioactive substance decayed to 97% of its original amount after a year.
This means that:

Then



So

(a) What is the half-life of the substance?
This is t for which P(t) = 0.5P(0). So







The half life of the substance is 22.76 years.
(b) How long would it take the sample to decay to 85% of its original amount?
This is t for which P(t) = 0.85P(0). So







5.34 years for the sample to decay to 85% of its original amount