The formula for half-life is given by:
N(t)=Ne^(-λt)
or
N(t)=N(1/2)^(t/τ)
where:
t=time
N=initial amount
N(t)=final amount
τ=half-life
thus the time taken for the drug to decay will be:
10=80(1/2)^(t/8)
1/8=(1/2)^(t/8)
introducing natural logs;
ln (1/8)=(t/8)ln (1/2)
thus;
[ln 1/8]/[ln 1/2]=t/8
3=t/8
t=3*8
t=24 hours
the answer is 24 hours
Answer:
x= -6
Step-by-step explanation:
Using the given equation, the time it would take for the skydiver to fall 180 feet is of 3.35 seconds.
<h3>What is the height considering no air resistance?</h3>
The height in feet that a person has fallen after t seconds is given by:
d = 16t².
In this problem, we want the time for a fall of 180 feet, hence.
t = 3.35
The time it would take for the skydiver to fall 180 feet is of 3.35 seconds.
More can be learned about functions at brainly.com/question/25537936
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Step-by-step explanation:
To find the volume of a cylinder the equation is
V = π×r×r×h
= 22÷7 × 4.5 × 4.5 × 8
Answer = 508.94
Answer:
8x - 8y
Step-by-step explanation:
3(x - y) is equal to 3x - 3y using distributive property
The same applies to 5(x - y) which is equal to 5x - 5y
Combine like terms in (3x - 3y) + (5x - 5y) which is equal to 3x + 5x + 3y + 5y
Final Answer is 8x - 8y
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