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Answer:
5.5 days (nearest tenth)
Step-by-step explanation:
<u>Given formula:</u>
= initial mass (at time t=0)
- N = mass (at time t)
- k = a positive constant
- t = time (in days)
Given values:
- k = 0.125
Half-life: The <u>time</u> required for a quantity to reduce to <u>half of its initial value</u>.
To find the time it takes (in days) for the substance to reduce to half of its initial value, substitute the given values into the formula and set N to half of the initial mass, then solve for t:
Therefore, the substance's half-life is 5.5 days (nearest tenth).
Learn more about solving exponential equations here:
ANSWER
The set of all rational numbers and the set of all real numbers.
EXPLANATION
The set of rational numbers contains all numbers that can be written in the form,
where a and b are integers and b≠0.
The given number is
It belongs to the set of rational numbers.
The set of rational numbers is a subset of the set of real numbers.
Hence
also belongs to the set of real numbers.
The correct answer is A.
The set of all rational numbers and the set of all real numbers.
EXPLANATION
The set of rational numbers contains all numbers that can be written in the form,
where a and b are integers and b≠0.
The given number is
It belongs to the set of rational numbers.
The set of rational numbers is a subset of the set of real numbers.
Hence
also belongs to the set of real numbers.
The correct answer is A.