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
blondinia [14]
3 years ago
8

Carbon-14 decays at a constant rate, so it can be used to determine the age of fossils. In particular, if the original amount of

Carbon-14 present is A0, then A(t) = A0e^(-kt) can be used find the amount of amount of Carbon-14 remaining after t years. Given that the half-life of Carbon-14 is 5,730 years, what is the value of the decay constant k to 5 decimal places?
-_____ k
_____ A0 = A0e
k ~= ______
Mathematics
1 answer:
Brrunno [24]3 years ago
5 0
In this scenario we know that carbon14 at a given time A(t) = A0e^(-kt), where A0 is the original carbon present, t is time in years and k is the constant.

As we are working with the half life of carbon being 5730 years, we assume original carbon-14 content, A0 = 1, and carbon-14 at half life 5730 years, A(t) = 0.5.

i.e. 
0.5 = 1e^(-5730k)
apply Ln to both sides of equation to cancel e
ln(0.5) = -5730k
k = ln(0.5) / -5730
k = -0.69315 / - 5730 = 1.20968 x 10^-4
You might be interested in
Triangle abc has side lengths ab = 65, bc = 33, and ac = 56. find the radius of the circle tangent to side ac and bc and to the
lara [203]

The radius of the circle tangent to sides AC and BC and to the circumcircle of triangle ABC.

r= 24.

<h3>What is the radius of the circle tangent to sides AC and BC and to the circumcircle of triangle ABC.?</h3>

Generally, the equation for side lengths AB is  mathematically given as

Triangle ABC has side lengths

Where

  • AB = 65,
  • BC = 33,
  • AC = 56.

Hence

r √ 2 · (89 √ 2/2 − r √ 2) = r(89 − 2r),

r = 89 − 65

r= 24.

In conclusion, The radius of the circle tangent to sides AC and BC and to the circumcircle of triangle ABC.

r= 24.

Read more about radius

brainly.com/question/13449316

#SPJ4

7 0
1 year ago
Hello i need help please
Usimov [2.4K]
Option B is correct
8 0
3 years ago
Read 2 more answers
A tire has a radius of 13 inches. Which equation could be used to find the circumference of the tire
pav-90 [236]

Answer:

the tire should be 16 inches in diameter

a way that you can find diameter is if you are given the radius and you just multiply that number by 2 or ADD the same number because usually it is half of the diameter

6 0
2 years ago
There are three points on a line, A, B, and C, so that AB = 12 cm, BC = 13.5 cm. Find the length of the segment AC . Give all po
Semmy [17]

Answer:

AC = 25.5 or 1.5

Step-by-step explanation:

If they are on a line and they are in the order ABC

AB + BC = AC

12+13.5 = AC

25.5 = AC

If they are on a line and they are in the order CAB

CA + AB = BC

AC + 12 =13.5

AC = 13.5 -12

AC = 1.5

If they are on a line and they are in the order ACB

That would mean that AB is greater than BC and that is not the case

3 0
3 years ago
Make the biggest possible number using the digits below only once 0 , 3 , 4
Fynjy0 [20]

Answer:

12,157,665,459,057,000,000

Step-by-step explanation:

It seems like it would have to involve exponents.  3 to the 40th power would be 12,157,665,459,057,000,000.  

8 0
3 years ago
Read 2 more answers
Other questions:
  • After basketball practice, Courtney spent extra time working on free throws. Overall, she made 3 of her 5 shots. What percent of
    12·2 answers
  • Divide the reciprocal of 5/6 by the reciprocal of the reciprocal of 5/6
    9·2 answers
  • Lara has $1,425 in her bank account. Write and solve an equation to show how much money she started with if that amount reflects
    13·1 answer
  • Which expression is equivalent to -36 - 8−36, 36, minus, 8? Choose 1 answer: Choose 1 answer: (Choice A) A -36+(-8)−36+(−8)minus
    13·1 answer
  • What is the value of t? 3/5t - 4 - 7/10t = -2<br><br><br> A. -20<br> B. -5<br> C. 5<br> D. 20
    15·1 answer
  • Which of the following is the inverse of the function given below?
    5·2 answers
  • Just answer plz its 20 points
    7·1 answer
  • What’s the X intercept and Y intercept ?
    5·1 answer
  • (-1, 3)<br> (-5, -5)<br> (0, -4)<br> (1, 2)<br> (4, 4)<br> (3, 8)
    14·1 answer
  • Samuel warted some money to buy a Ps4 gare He mowed 7 yards in this neighborhood for a total of $56. How much money did he get p
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!