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
kramer
3 years ago
10

Dinosaur fossils are often dated by using an element other than carbon, like potassium-40, that has a longer half life (in this

case, approximately 1.25 billion years). suppose the minimum detectable amount is 0.1% and a dinosaur is dated with 40k to be 67 million years old. what is the maximum age of a fossil that we could date using 40k? (round your answer to one decimal place.)
Mathematics
1 answer:
Firlakuza [10]3 years ago
3 0
The amount of substance left of a radioactive element of half life, t_{\frac{1}{2}} after a time, t, is given by:

N(t)=N_0\left( \frac{1}{2} \right)^ \frac{t}{t_{  \frac{1}{2} }}

Given that <span>potassium-40 has a half life of approximately 1.25 billion years.

The number of years it will take for 0.1% of potassium-40 to remain is obtained as follows:

0.1=100\left( \frac{1}{2} \right)^ \frac{t}{1.25}} \\  \\ \Rightarrow\left( \frac{1}{2} \right)^ \frac{t}{1.25}}=0.001 \\  \\ \Rightarrow\frac{t}{1.25}\ln\left( \frac{1}{2} \right)=\ln(0.001) \\  \\ \Rightarrow \frac{t}{1.25}= \frac{\ln(0.001)}{\ln\left( \frac{1}{2} \right)} =9.966 \\  \\ t=9.966(1.25)=12.5

Therefore, </span><span>the maximum age of a fossil that we could date using 40k is 12.5 billion years.</span>
You might be interested in
. Cara is playing a game. For each dart she can toss onto a board, she
Kaylis [27]
She will need 12 seconds because -20•12=-240
6 0
3 years ago
1. Solve the system by substitution- 2x+y=-11, 3x-4y=11.
Maksim231197 [3]
In the first equation, moving 2x over gives "y = -2x-11". Placing this into the second equation gives "3x - 4(-2x-11) = 11", or "3x+8x+44 = 11", which can be reduced to "11x= -33" or "x = -3". Replacing the "x" with -3 in the first equation gives "-6 + y = -11" or "y = -5". This gives a solution of (-3, -5), or answer C.
4 0
3 years ago
Read 2 more answers
Can someone please help me
77julia77 [94]
Symbolab has a calculator that solves problems like that and works it out for you, to help understand it better :)
5 0
3 years ago
What are the coordinates of 1 and 3
Shalnov [3]

Answer:

its 1 and 3 like xy = (1,3)

8 0
2 years ago
on Friday, the temperature was 82F. the temperature changed by -2 F on Saturday, then it changed by 5F on Sunday. what was the t
Greeley [361]
Ok we start with 82F
then we subtract 2 from that, 80F
Now, we add 5 to it, 85F
There's your answer!!!
5 0
3 years ago
Read 2 more answers
Other questions:
  • In a circle with a radius of 5cm and is centered at point O, angle AOB intercepts arc AB. Arc AB has a length of 10cm. What is t
    13·1 answer
  • Different shapes are drawn on cards and then the cards are placed in a bag. The number of cards for each shape is shown in the t
    15·1 answer
  • PLS HELP I NEED IT FAST
    10·1 answer
  • What is a multiple definition of a rhombus
    11·1 answer
  • What does -43 plus 17 equal?
    7·2 answers
  • 6 1/4 plus 9 4/5 help
    12·1 answer
  • HELP ME PLEASEEEEEEEEEEEEEE
    5·2 answers
  • the sides of a rectangle are in the ratio 2:5. if the longer side of the rectangle is 25.5 in., what are it's width, perimeter,
    8·1 answer
  • The perimeter of a rectangular garden is 24. If the length is half the width, what is<br> the width?
    6·2 answers
  • Help me, I'm fighting with this question from 1 week<br>please ༎ຶ‿༎ຶ​
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!