answer.
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
Tatiana [17]
1 year ago
14

Carbon–14 is a radioactive isotope that decays exponentially at a rate of 0.0124 percent a year. How many years will it take for

carbon–14 to decay to 10 percent of its original amount? The equation for exponential decay is At = A0e–rt.
Mathematics
1 answer:
patriot [66]1 year ago
5 0
100-0.0124=99.9876

10%=1/10
1/10P=P(0.999876)^t
divide both sides by P
1/10=0.999876^t
take ln of both sides
ln(1/10)=t (ln(0.999876))
divide both sides by (ln(0.999876))
ln(1/10)/(ln(0.999876))=t
use calculator
18568.08=t
about 18568 years

You might be interested in
Abel is making brownies for a bake sale. The recipe shows the amount of each ingredient needed to make 9 brownies. Complete each
mixas84 [53]

Answer:

In order to make 45 brownies, Abel needs 25 cups of flour, 20 cups of sugar, 10 cups of cocoa powder and 5 eggs.

Step-by-step explanation:

As the recipe is missing in this question, the recipe is found online which given following information

  • Abel needs 5 cups of flour to make brownies.
  • If Abel uses 4 cups of sugar.
  • he will need to use 2 cups of cocoa powder.
  • The recipe will make brownies if Abel uses only 1 egg.

Abel has to make 45 brownies for the sale, this is also missing in this question, however is given in the reference question linked here.

This recipe is to make 9 brownies. Now for 45 brownies the multiplier is found as 45/9=5. So by multiplying quantity of all the ingredients by 5, Abel will be able to make 45 brownies.

Now  in order to make 45 brownies

  • Abel needs 5*5 =25 cups of flour to make brownies.
  • If Abel uses 5*4=20 cups of sugar.
  • he will need to use 5*2=10 cups of cocoa powder.
  • The recipe will make brownies if Abel uses only 5*1=5 egg.

So in order to make 45 brownies, Abel needs 25 cups of flour, 20 cups of sugar, 10 cups of cocoa powder and 5 eggs.

5 0
2 years ago
Which of the following groups has terms that can be used interchangeably with the others?1. Percentage, Probability, and Proport
Dafna1 [17]

Answer: 1) Percentage, Probability, Proportion

Step-by-step explanation:

In statistics,

▪Proportion means a fraction of the total.

▪Percentage means a number or a ratio, expressed as a fraction of 100. Here, the total is 100.

▪Probability which may look slightly different from the other two means a number between 0 and 1, showing the exact likelihood of an event happening. Which in context can mean, a number showing a fraction of an event happening out of the whole (0 to 1).

▪Critical value means a point in hypothesis testing on the test distribution that is compared to the test statistic to determine whether to reject the null hypothesis.

In the four definitions, the odd one out is Critical Value.

So the option without critical value in it is option 1) Percentage, Probability, Proportion since we can use the three interchangeable.

6 0
2 years ago
Read 2 more answers
Assemble the proof by dragging tiles to the statements and reasons columns
inn [45]

Answer:

Here, I did the assignment. I wish you good luck!

3 0
2 years ago
The radar on a ship picks up two shipwrecks, A and B, 2.5 miles beneath the surface. The distance between the shipwrecks is 0.6
polet [3.4K]
We have
tan 12.5 = 60 / adj rearrange as
adj = 60 / tan 12.5 = about 270.64 m
3 0
2 years ago
What is the value of the algebraic expression x=1/2, y=1, and z=2? 6x(y2z)
alexandr1967 [171]
Is 12 I think so !! try it
5 0
2 years ago
Other questions:
  • Tatami mats are used as a floor covering in Japan. one possible layout uses four identical rectangular mats and one square mat.
    8·2 answers
  • At a convention of monsters, 2/5 have no horns, 1/7 have one horn, 1/3 have two horns, and the remaining 26 have three or more h
    5·1 answer
  • Tony wants to plant no more than 400 acres of corn and soybeans. He earns $300 per acre of soybeans and $200 for corn. He needs
    5·1 answer
  • Match each pair of points to the equation of the line that is parallel to the line passing through the points.
    10·2 answers
  • A man spent 15/16 of his entire fortune in buying a car $7500. How much money did he possess?
    7·2 answers
  • How long does it take $450 to double at simple interest rate of 100%
    7·1 answer
  • Syd chooses two different primes, both of which are greater than $10,$ and multiplies them. The resulting product is less than $
    11·1 answer
  • A=170 rounded to the nearest 10<br> b=93.2 rounded to 1 DP<br> Find the minimum (to 2 DP) of a÷b
    15·1 answer
  • The source document states: (S) The process takes three hours to complete. The new document states: (S) The first step in the pr
    12·2 answers
  • dalanay enlarges a photograph tahst is 3 inches long and 2 inches wide. the length of the enlarged photograph is 15 inches. what
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!