Enrique says is a rational number. Which of the following best describes if Enrique is correct? Enrique is correct. Repeating de
2 answers:
Answer: First option is correct.
Step-by-step explanation:
Rational numbers are those numbers which can be written in the form of
or
Rational numbers are those numbers which are non terminating but repeating numbers.
Repeating decimals are rational numbers because they can be written as fractions.
The number is actually equivalent to the original number.
Enrique is correct.
Hence, First option is correct.
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Answer:
23 years
Step-by-step explanation:
Step 1: Calculate the rate constant (k) for the radioactive decay
A radioactive substance with initial concentration [A]₀ decays to 97% of its initial amount, that is, [A] = 0.97 [A]₀, after t = 1 year. Considering first-order kinetics, we can calculate the rate constant using the following expression.
ln [A]/[A]₀ = - k.t
k = ln [A]/[A]₀ / -t
k = ln 0.97 [A]₀/[A]₀ / -1 year
k = 0.03 year⁻¹
Step 2: Calculate the half-life of the substance
We will use the following expression.
= ln2/ k = ln 2 / 0.03 year⁻¹ = 23 years