1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Elenna [48]
3 years ago
7

Scientist can determine the age of ancient objects by a method called radiocarbon dating. The bombardment of the upper atmospher

e by cosmic rays converts nitrogen to a radioactive isotope of carbon, 14C, with a half-life of about 5730 years. Vegetation absorbs carbon dioxide through the atmosphere and animal life assimilates 14C through food chains. When a plant or animal dies, it stops replacing its carbon and the amount of 14C begins to decrease through radioactive decay. Therefore, the level of radioactivity must also decay exponentially. A parchment fragment was discovered that had about 74% as much 14C radioactivity as does plant material on Earth today. Estimate the age of the parchment. (Round your answer to the nearest hundred years.) yr
Mathematics
1 answer:
Artemon [7]3 years ago
5 0

Answer: 2500 years

Step-by-step explanation:

I'm not quite sure if I'm doing this right myself but I'll give it a shot.

We use this formula to find half-life but we can just plug in the numbers we know to find <em>t</em>.

A(t)=A_{0}(1/2)^t^/^h

We know half-life is 5730 years and that the parchment has retained 74% of its Carbon-14. For A_{0 let's just assume that there are 100 original  atoms of Carbon-14 and for A(t) let's assume there are 74 Carbon-14 atoms AFTER the amount of time has passed. That way, 74% of the C-14 still remains as 74/100 is 74%. Not quite sure how to explain it but I hope you get it. <em>h</em> is the last variable we need to know and it's just the half-life, which has been given to us already, 5730 years, so now we have this.

74=100(1/2)^t^/^5^7^3^0

Now, solve. First, divide by 100.

0.74=(0.5)^t^/^5^7^3^0

Take the log of everything

log(0.74)=\frac{t}{5730} log(0.5)

Divide the entire equation by log (0.5) and multiply the entire equation by 5730 to isolate the <em>t</em> and get

5730\frac{log(0.74)}{log(0.5)} =t

Use your calculator to solve that giant mess for <em>t </em>and you'll get that <em>t</em> is roughly 2489.128182 years. Round that to the nearest hundred years, and you'll find the hopefully correct answer is 2500 years.

Really hope that all the equations that I wrote came out good and that that's right, this is definitely the longest answer I've ever written.

You might be interested in
HELP ME PLEASE I REALLY COULD USE IT BRAINLY GOES TO THE CORRECT ANSWER
Zanzabum

Answer:

y=x+8

Step-by-step explanation:

In order to get the output (y), you have to add 8 to the input (x).

18 + 8 = 26

35 + 8 = 43

86 + 8 = 94

therefore, x+8=y

8 0
2 years ago
Read 2 more answers
Round 258,177 to the nearest thousand asap !!!!!
Leya [2.2K]
The nearest thousand would be 25800.
3 0
3 years ago
Read 2 more answers
A ladder is 74 inches tall. How tall is it in feet and inches?
vivado [14]

Answer:1 inch = 0.0833333 feet so 74 x 0.0833333 = 6.16667

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Help needed!
Jet001 [13]

Answer:

  • 15 inches

Step-by-step explanation:

<u>The ratio of sides in 30º-60º-90º triangle is:</u>

  • a : b : c = 1 : √3 : 2

<u>If a is 5√3, the length of b is:</u>

  • b = a√3 = 5√3 *√3 = 5*3 = 15
7 0
2 years ago
Carrie has 2 meters of ribbon. She cuts off pieces of ribbon that are 5/10 meter, 1/10 meter, and 7/10 meter. How long is the re
vekshin1

Answer:

\frac{7}{10}

Step-by-step explanation:

Carrie has 2 meters of ribbon. She cuts off pieces of ribbon that are 5/10 meter, 1/10 meter, and 7/10 meter

Lets add all the cut of pieces and subtract it from 2 meters

\frac{5}{10} +\frac{1}{10}+\frac{7}{10}=\frac{13}{10}

Now we subtract 13/10 from 2 meters

2 - \frac{13}{10}

To subtract , make the denominator same

\frac{2*10}{1*10} - \frac{13}{10}=\frac{20}{10} - \frac{13}{10}=\frac{7}{10}

7/10 meter is the remaining piece of ribbon

8 0
3 years ago
Other questions:
  • #2
    14·2 answers
  • The cook needs to make the dough for 9 small pizzas. Each pizza dough needs cup of flour. How much flour does the cook need to m
    7·1 answer
  • A rectangular solid with a square base has a surface area of 37.5 square centimeters. (Let x represent the length of the sides o
    6·1 answer
  • What is the largest number that divides 245 and 1029 leaving a remainder 5 in each case
    9·1 answer
  • What is true about preferred stocks?
    9·2 answers
  • Write a variable expression the the algebraic expression.<br> 3x + 7
    5·1 answer
  • Hailstones form when strong winds support ice particles high in clouds. We can assume that the diameter of a hailstone varies di
    8·1 answer
  • Pls help me I will give the first answer brainlyist and thanks NO LINKS OR NO BRAINLYIST there are two questions please help
    7·1 answer
  • The diameter of a circle is 20 in. Find its circumference in terms of \piπ.
    13·1 answer
  • Please help me with this test I’m so bad at math
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!