The area of a rectangle is greater than 10. What is a reasonable domain for the shorter side of the rectangle?
1 answer:
It cannot be smaller than 0, since then the rectangle would turn into a line, so it has to be bigger than 0.
Also, this rectangle is not a square, since it would not have shorter and longer sides. but if it was a square, it would have a side of
. But it has to be shorter than this.
So the answer is: (x is the lenght of the shorter side);
>x>0
Also, this rectangle is not a square, since it would not have shorter and longer sides. but if it was a square, it would have a side of
So the answer is: (x is the lenght of the shorter side);
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Answer:
20,944 years
Step-by-step explanation:
The formula you use for this type of decay problem is the one that uses the decay constant as opposed to the half life in years. We are given the k value of .00012. If we don't know how much carbon was in the bones when the person was alive, it would be safer to say that when he was alive he had 100% of his carbon. What's left then is 8.1%. Because the 8.1% is left over from 100% after t years, we don't need to worry about converting that percent into a decimal. We can use the 8.1. Here's the formula:
where N(t) is the amount left over after the decay occurs, is the initial amount, -k is the constant of decay (it's negative cuz decay is a taking away from as opposed to a giving to) and t is the time in years. Filling in accordingly,
Begin by dividing the 100 on both sides to get
Now take the natural log of both sides. Since the base of a natual log is e, natural logs and e "undo" each other, much like taking the square root of a squared number.
ln(.081)= -.00012t
Take the natual log of .081 on your calculator to get
-2.513306124 = -.00012t
Now divide both sides by -.00012 to get t = 20,944 years