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fiasKO [112]
3 years ago
8

The amount of​ carbon-14 present in animal bones after t years is given by ​P(t)equalsUpper P 0 e Superscript negative 0.00012 t

. A bone has lost 19​% of its​ carbon-14. How old is the​ bone?
Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
7 0

Answer:

age of bone is 1756 years

Step-by-step explanation:

The amount of​ carbon-14 present in animal bones after t years

P(t)= P_0e^{-0.00012t}

P(t) is the carbon present

19% has lost. so carbon present is 100-19 = 81% present

out of 100 81 is presents

so P0 is 100

P(t) is 81

81= 100e^{-0.00012t}

divide by 100 on both sides

0.81= e^{-0.00012t}

take ln on both sides

ln(0.081)=-0.00012tln(e)

ln(0.081)=-0.00012t

divide both sides by  -0.00012

t=1756.0085

age of bone is 1756 years

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Answer: ok i don't know but you can copy and paste the question then search it in the search bar because i can guaranty that someone has asked that question before. and then all you got to do that and you can keep your points. hope this helps! ;)

Step-by-step explanation:

8 0
3 years ago
If
Rudiy27
Looking at this problem in terms of geometry makes it easier than trying to think of it algebraically.

If you want the largest possible x+y, it's equivalent to finding a rectangle with width x and length y that has the largest perimeter.

If you want the smallest possible x+y, it's equivalent to finding the rectangle with the smallest perimeter.

However, the area x*y must be constant and = 100.

We know that a square has the smallest perimeter to area ratio. This means that the smallest perimeter rectangle with area 100 is a square with side length 10. For this square, x+y = 20.

We also know that the further the rectangle stretches, the larger its perimeter to area ratio becomes. This means that a rectangle with side lengths 100 and 1 with an area of 100 has the largest perimeter. For this rectangle, x+y = 101.

So, the difference between the max and min values of x+y = 101 - 20 = 81.
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