N(t) = [tex]N_{0} (1/2)^\frac{t}{\frac{t_{1} }{2}}[/tex] is the equation to determine the number of milligrams remaining after t days and 26.18 milligrams are remaining after 45 hours.
What is Equation?
Two or more expressions with an Equal sign is called as Equation.
The equation to determine the number of milligrams remaining after t days is:
N(t) = [tex]N_{0} (1/2)^\frac{t}{\frac{t_{1} }{2}}[/tex]
where:
N(t) = the number of milligrams remaining after t days
N₀ = the initial number of milligrams (100 mg)
t = the time in days
The half-life of Sodium 24 in days (15 hours ÷ 24 hours/day = 0.625 days)
N(t) = [tex]100(1/2)^(^t^/^0^.^6^2^5^)[/tex]
We want to find the number of milligrams remaining after 45 hours. To convert hours to days, we divide by 24:
45 hours ÷ 24 hours/day = 1.875 days
N(1.875) = 26.18 mg
Therefore, 26.18 milligrams are remaining after 45 hours.
Hence, N(t) = [tex]N_{0} (1/2)^\frac{t}{\frac{t_{1} }{2}}[/tex] is the equation to determine the number of milligrams remaining after t days and 26.18 milligrams are remaining after 45 hours.
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