If y varies inversely as x, what is k when y=8 and x=4
2 answers:
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Answer:
- <u>59.0891 g (rounded to 4 decimal places)</u>
Explanation:
<em>Half-life time</em> of a radioactive substance is the time for half of the substance to decay.
Thus, the amount of the radioactive substance that remains after a number n of half-lives is given by:
Where:
- A is the amount that remains of the substance after n half-lives have elapses, and
- A₀ is the starting amount of the substance.
In this problem, you have that the half-live for your sample (polonium-210) is 138 days and the number of days elapsed is 330 days. Thus, the number of half-lives elapsed is:
- 330 days / 138 days = 2.3913
Therefore, the amount of polonium-210 that will be left in 330 days is:
Let's plug in a few points to see which graph belongs to the function f(x) = 2x^2
Let's say x =0, let's find y!
2(0)^2 = 2(0) = 0
So one point on our line is (0.0)
Just finding this point right here eliminates 3 of the answer choices. Your answer is the graph that goes through the point (0,0)
For your added convenience, I have attached the graph. :)
Let's say x =0, let's find y!
2(0)^2 = 2(0) = 0
So one point on our line is (0.0)
Just finding this point right here eliminates 3 of the answer choices. Your answer is the graph that goes through the point (0,0)
For your added convenience, I have attached the graph. :)