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LekaFEV [45]
3 years ago
14

The amount of carbon-14 in an object is given by y = ae– 0.00012t where a is the initial amount of carbon and t is the age in ye

ars. A fossil bone contains 25% of its original carbon-14. What is the approximate age of the bone?
Mathematics
1 answer:
Reptile [31]3 years ago
4 0

Answer:

The approximate age of the bone is approximately 11552 years.

Step-by-step explanation:

The current proportion of carbon-14 with respect to its original amount is defined by following formula:

\frac{y}{a} = e^{-0.00012\cdot t} (1)

Where:

y - Current amount of carbon-14, no unit.

a - Initial amount of carbon-14, no unit.

t - Time, in years.

If we know that \frac{y}{a} = 0.25, then the approximate age of the bone is:

t = -8333.333\cdot \ln \frac{y}{a}

t\approx 11552.453\,yr

The approximate age of the bone is approximately 11552 years.

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Chris and Josh have a total of 1,800 stamps in their collections, Josh and Jessica have a total of 2,200 stamps, and Jessica and
LiRa [457]

Answer: 3000 stamps

Step-by-step explanation:

Given

Chris and Josh have 1800 stamps

Josh and Jessica have 2200 stamps

Jessica and Chris have 2000 stamps

Suppose Chris, Josh, and Jessica have x,y, \text{and}\ z stamps

\therefore x+y=1800\quad \ldots(i)\\\Rightarrow y+z=2200\quad \ldots(ii)\\\Rightarrow z+x=2000\quad \ldots(iii)\\\text{Add (i), (ii), and (iii)}\\\Rightarrow 2(x+y+z)=1800+2200+2000\\\Rightarrow x+y+z=3000

Thus, all three have 3000 stamps

6 0
3 years ago
Help me wiht this plssss
yulyashka [42]

Answer:

well you find. out how many all of them measure. and add them and then that answer multiply of the main number

Step-by-step explanation:

first add up all of the lengths and then find that answer multiply it to the main number and then you will get your anwer it's a 2 step problem

7 0
2 years ago
WILL EARN BRAINLIEST! [Rate of Functions]
AURORKA [14]

Answer:

every pair is being multi by the next number

Step-by-step explanation:

2 x 3 =6

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7 0
3 years ago
Y = - 2/3x + 2 in standard form
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Answer:

2x + 3y = 6

Step-by-step explanation:

2x + 3y = 6

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3y/3 = -2x + 6/3

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4 0
2 years ago
Use the functions h(x) = 2x − 5 and t(x) = 6x + 4 to complete the function operations listed below.
Anika [276]
For this case we have the following functions:
 h (x) = 2x - 5
 t (x) = 6x + 4

 Part A: (h + t) (x)
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 Part B: (h ⋅ t) (x)
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 Part C: h [t (x)]
 h [t (x)] = 2 (6x + 4) - 5
 h [t (x)] = 12x + 8 - 5
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6 0
3 years ago
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