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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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Factor the GCF: 12a^3b + 8a^2b^2 — 20 ab^3
geniusboy [140]

Answer:

GCF is 4ab

And the expression will be: 4ab ( 3a^2+2ab-5b^2)

Step-by-step explanation:

Factor the GCF :

12a^3b + 8a^2b^2-20 ab^3

We need to find the common terms that are common in each of the term given above

12,8 and 2 are all divisible by 4

a is common in all terms and b is also common in all terms,

So, GCF is 4ab

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12a^3b + 8a^2b^2-20 ab^3=4ab ( 3a^2+2ab-5b^2)

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3 years ago
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Answer:

1,2,3,4,5,6,7,8,9,10

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Step-by-step explanation:

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Answer:

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7 0
3 years ago
8/3 - 1/2 plz send help
sweet [91]

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4 years ago
What is the percent decrease modeled in the function (picture)
yanalaym [24]
For this case we have a function of the form:
 y = A (b) ^ x
 Where,
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 Therefore the percentage of decrease is:
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 Answer:
 
75%
 
option 3
7 0
3 years ago
Read 2 more answers
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