Answer:

Step-by-step explanation:
So we have:

This is the same as:

Separate:

Replace the second term with i:

The square root of 66 cannot be simplified.
So, this is our answer :)
Step-by-step explanation:
what is the question you are just showing us the lesson and modle
Answer:
2y^2 +5y
Step-by-step explanation:
y^2 + 11y - 6y + y^2
Combine like terms
2y^2 +5y
Answer:
Step-by-step explanation:
6
Take the higher number and subtract the next lower value. It will tell you the difference.
17-11=6
Answer:
a) The half life of the substance is 22.76 years.
b) 5.34 years for the sample to decay to 85% of its original amount
Step-by-step explanation:
The amount of the radioactive substance after t years is modeled by the following equation:

In which P(0) is the initial amount and r is the decay rate.
A sample of a radioactive substance decayed to 97% of its original amount after a year.
This means that:

Then



So

(a) What is the half-life of the substance?
This is t for which P(t) = 0.5P(0). So







The half life of the substance is 22.76 years.
(b) How long would it take the sample to decay to 85% of its original amount?
This is t for which P(t) = 0.85P(0). So







5.34 years for the sample to decay to 85% of its original amount