Answer:
The tank must remain intact for 1183 years.
Step-by-step explanation:
Exponential equation for decay:
The amount of a substance after t years is given by:
In which A(0) is the initial amount and r is the decay rate.
A storage tank contains a liquid radioactive element with a half-life of 96 years.
This means that 
, and we use this to find r.
So
It will be relatively safe for the contents to leak from the tank when 0.02% of the radioactive element remains. How long must the tank remain intact for this storage procedure to be safe?
This is t for which 
. So
The tank must remain intact for 1183 years.
A triangle is made of letter A
Answer:1/(3+x)=(1/3)
1
(1−(−x/3))
1/(3+x)=(1/3)1(1−(−x/3))
Use this fact that
1/(1−t)=
∑
∞
0
t
n
(∗)
1/(1−t)=∑0∞tn (∗)
where
|t|<1
|t|<1
. I mean take
t=−x/3
t=−x/3
and...
Note that
|−t|=|t|<1
|−t|=|t|<1
is the radius of convergence
Step-by-step explanation:
Answer:
x = 5/2 or x = 2.5
Step-by-step explanation:
To solve for x, we will have to get the equation 2x + 15 = 20 into the form x = _. That will be our answer.
2x + 15 = 20
Subtract 15 from both sides to get rid of the +15 on the left side.
2x = 20 - 15
Simplify.
2x = 5
Divide both sides by 2 to get rid of the coefficient of 2 on the left side.\
x = 5/2 = 2.5
x = 5/2 or x = 2.5
I hope you find my answer helpful. :)
