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PolarNik [594]
3 years ago
7

a hiker in africa discovers a skull that contains 41% of its original amount of c-14. find the age of the skull to the nearest y

ear
Mathematics
1 answer:
DochEvi [55]3 years ago
5 0

9514 1404 393

Answer:

  7371 years

Step-by-step explanation:

The half-life of Carbon-14 is reportedly about 5730 years. Then the exponential decay equation can be written as ...

  f = (1/2)^(t/5730)

where f is the fraction remaining after t years.

Taking logarithms and solving for t, we find ...

  log(f) = (t/5730)log(1/2)

  t = 5730·log(f)/log(1/2)

For the fraction f = 0.41, the age is approximately ...

  t = 5730·log(0.41)/log(1/2) ≈ 5730·1.286304 ≈ 7371 . . . years

The age of the skull could be estimated to be 7371 years.

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Maxwell takes 45 minutes to pack 6 boxes. At this rate, how long will he take to pack 8 boxes?
Stella [2.4K]

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In △ABC, point P∈ AC with AP:PC=1:3, point Q∈ AB so that AQ:QB=3:4, Find the ratios APBQ : APBC and AAQP : AABC.
kykrilka [37]

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And AQ:QB = 3:4, similarly, let AQ=3y and QB= 4y, where y is the common value of AQ and QB.

Thus,  AC= AP+PC= 1x+3x=4x and AB= AQ+QB= 3y+4y=7y

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B

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Thus, the equation of the line is

y =  -  \frac{4}{5} x - 8

6 0
3 years ago
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