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3 years ago

a hiker in africa discovers a skull that contains 51% of its original amount of C-14. Find the of the scull to the nearest year

Mathematics

2 answers:

Kruka [31]3 years ago

8 0

Answer:

Actually it's 3285 for people on Plato.

Step-by-step explanation:

72%=100e^-.0001*t

Plug it into calculator.

you get 3285.04066972

Rounded that's 3285 years. Hope this helps?

Llana [10]3 years ago

6 0

We can calculate the age by using the formula: final amount=initial amount*(1/2)^(time/half-life), or t=ln(final amount/initial amount)/(-0.693)*half-life. The half life of C-14 is 5730 years, and final amount=initial amount is 51% or 0.51, so t=ln(0.51)/(-0.693)*5730=5567 years approximately.

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Box A has 14 black pens and 6 blue pens box B has 9 black pens and 3 blue pens a pen is randomly chosen from each box list these

earnstyle [38]

Answer:

The list of these events from least likely to most likely is Blue-Blue -> Black-Blue -> Blue-Black -> Black-Black

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Possible outcomes:

Black - Black

Black - Blue

Blue - Black

Blue - Blue

Probability of each outcome:

Black-Black:

14 out of 20, and then 9 out of 12. So

$P_{BkBk} = \frac{14}{20} \times {9}{12} = \frac{14*9}{20*12} = \frac{126}{240}$

Black-Blue:

14 out of 20, then 3 out of 12. So

$P_{BkBl} = \frac{14}{20} \times {3}{12} = \frac{14*3}{20*12} = \frac{42}{240}$

Less likely than black-black.

Blue - Black:

6 out of 20, then 9 out of 12. SO

$P_{BlBk} = \frac{6}{20} \times {9}{12} = \frac{6*9}{20*12} = \frac{54}{240}$

More likely than black-blue, less likely than black-black.

Blue - Blue

6 out of 20, then 3 out of 12

$P_{BlBl} = \frac{6}{20} \times {3}{12} = \frac{6*3}{20*12} = \frac{18}{240}$

Least likely of the outcomes.

List these events from least likely to most likely:

The list of these events from least likely to most likely is Blue-Blue -> Black-Blue -> Blue-Black -> Black-Black

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2 years ago

Simplify (x+5)(x+5)(x+5)

Deffense [45]

3x + 15 because u add all the x and then all real numbers

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2 years ago

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there are 3 boys for every 2 girls in the class. there are 90 students total. how many total girls? how many total boys?

netineya [11]

Answer: There is 36 girls and 54 boys.

Step-by-step explanation: If there is 36 girls and there is 3 boys for every 2 girls that means half of 36 is 18 so do 18 times 3 which will equal 54 boys.

54+36=90

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3 years ago

The vertex of the parabola below is at the point (1.-3). Which of the equations below could be the one for this parabola?

Ilia_Sergeevich [38]

Answer: Choice D. y = (x-1)^2 - 3

The vertex is (h,k) = (1,-3). So h = 1 and k = -3.

We have a = 1 as the leading coefficient.

Plug those values into the equation below

y = a(x-h)^2 + k

y = 1(x - 1)^2 + (-3)

y = (x - 1)^2 - 3