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:m3+27n3
Step-by-step explanation:
Rewrite
27
n
3
as
(
3
n
)
3
.
m
3
+
(
3
n
)
3
Since both terms are perfect cubes, factor using the sum of cubes formula,
a
3
+
b
3
=
(
a
+
b
)
(
a
2
−
a
b
+
b
2
)
where
a
=
m
and
b
=
3
n
.
Answer:
D
Step-by-step explanation:
Answer:
It is 10 you were right
Step-by-step explanation:
because if each one is 1/2 then each 2 is 1 then all the shape is 10
Answer:
The jet will overtake the plane at 8:25 am.
Step-by-step explanation:
The distance traveled by the plane after time since it took off is modeled by the equation
And the distance traveled by the jet after time since the plane took off is given modeled by the equation
<em>(we set this up such that at </em><em> </em><em>)</em>
Now, the jet will overtake the plane when :
Which is 2 hours and 25 minutes after 6:00 am, or at 8: 25 am; therefore, the jet will overtake the plane at 8:25 am.