3 years ago

Given: AB with point C between A and B. AB = 10x + 20, AC = 2x + 13, and CB = 10x - 9.

Mathematics

1 answer:

Feliz [49]3 years ago

7 0

Answer:46

Step-by-step explanation:

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A fossil was analyzed and determined to have a carbon-14 level that is 80 % that of living organisms. the half-life of c-14 is 5

liq [111]

Answer:

The fossil is 1860 years old.

Step-by-step explanation:

The equation for the amount of fossil has the following format:

$Q(t) = Q(0)e^{rt}$

In which Q(t) is the amount after t years, Q(0) is the initial amount and r is the rate of change.

Half-life of c-14 is 5730 years.

This means that $Q(5730) = 0.5Q(0)$

$Q(t) = Q(0)e^{rt}$

$0.5Q(0) = Q(0)e^{5730r}$

$e^{5730r} = 0.5$

$\ln{e^{5730r}} = \ln{0.5}$

$5730r = \ln{0.5}$

$r = \frac{\ln{0.5}}{5730}$

$r = -0.00012$

$Q(t) = Q(0)e^{-0.00012t}$

How old is the fossil?

This is t for which

$Q(t) = 0.8Q(0)$

$Q(t) = Q(0)e^{-0.00012t}$

$0.8Q(0) = Q(0)e^{-0.00012t}$

$e^{-0.00012t} = 0.8$

$\ln{e^{-0.00012t}} = \ln{0.8}$

$-0.00012t = \ln{0.8}$

$t = -\frac{\ln{0.8}}{-0.00012}$

$t = 1860$

The fossil is 1860 years old.

4 0

2 years ago

Reduce to lowest term18/24

qwelly [4]

A common number is 6 so divide 18 and 24 by 6. you get the total of 3/4 <span />

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2 years ago

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Find the exact value tan^-1(tan(3pi))

bearhunter [10]

The answer is 0
(According to the radical stuffs)

6 0

3 years ago

Kisiki and Jembe are riding on a circular path.Kisiki completes a round in 24 minutes whereas Jembe completes a round in 36 minu

Lelechka [254]

My answer is 12 because I subtract 36 from 24 and got 12

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2 years ago

What is the equation of the line that passes through the point (-8,2) and had an undefined slope

Basile [38]

Answer:

-8..hope it helps you

Step-by-step explanation:

x=-8..Y=2

5 0

2 years ago