Archaeologists used pieces of burned wood, or charcoal, found at the site to date prehistoric paintings and drawings on walls and ceilings of a cave in Lascaux, France. Use the information in Example 3 of Section 3.1 to determine the appropriate age of a piece of burned wood, if it was found that 88% of the C-14 found in living trees of the same type had decayed. (Round your answer to the nearest hundred years.) years

Answers

Answer 1

Answer:

The age of the wood is [tex] t =  17527.5 \  years [/tex]

Step-by-step explanation:

   From the question we are told that 88% of  of the C-14 found in living trees of the same type had decayed , this means that the proportion of C-14 that is remaining is mathematically evaluated as

    [tex]  1 - 0.88 = 0.12[/tex]

Hence

[tex] N = 0.12N_o[/tex]

Here  N represents the remaining C-14 while [tex]N_o[/tex] is the original  amount of  C-14

Generally the half life of C-14 is  [tex]h =  5730 \  years[/tex]

Generally from the formula of radioactive decay

       [tex]N  =  N_o  *  2^{-\frac{t}{h} }[/tex]

=>    [tex]0.12N_o =  N_o  *  2^{-\frac{t}{5730} }[/tex]

=>    [tex]0.12  =    2^{-\frac{t}{5730} }[/tex]

taking the natural log of both sides

=>  [tex] ln [0.12]  =   ln[ 2^{-\frac{t}{5730} }][/tex]

=>  [tex] ln [0.12]  =  -\frac{t}{5730}ln(2) [/tex]

=>   [tex] t =  17527.5 \  years [/tex]

Answer 2

The appropriate age of burned wood will be "17527.5 years".

Radioactive decay

According to the question,

The proportion of C-14 = 1 - 0.88

                                      = 0.12

then,

N = 0.12 N₀

Now,

The half-life of C-14 will be:

h = 5730 years

By using Radioactive decay formula, we get

→      N = N₀ × [tex](2)^{-\frac{t}{h} }[/tex]

By substituting the values,

0.12N₀ = N₀ × [tex](2)^{-\frac{t}{5730} }[/tex]

   0.12 = [tex]2^{-\frac{t}{5730} }[/tex]

By taking "log" both sides,

ln[0.12] = ln[[tex]2^{-\frac{t}{5730} }[/tex]]

ln[0.12] = -[tex]\frac{t}{5730 \ ln(2)}[/tex]

hence,

The age will be:

         t = 17527.5 years

Thus the above response is correct.

Find out more information about radioactive decay here:

https://brainly.com/question/1236735


Related Questions

Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil. Jason decides to test the land for oil. He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil. What is the probability that the land has oil and the test predicts it?

A.
0.09

B.
0.11

C.
0.36

D.
0.44

Answers

In this case you the probabilities can be multiplied similarly to if you flipped a coin twice. .45 * .80 = .36

Answer:

0.36

Step-by-step explanation:

0.45 x 0.80

= 0.36

–8(n + 7) >-96??????????????

Answers

Answer:

D) n<5

Step-by-step explanation:

The Complex Conjugate of 2 + 5i is equal to: _______+_________i

Answers

Answer:

2 - 5i

Step-by-step explanation:

For any complex number like say "z" written in rectangular form as;

z = a + ib, then from definitions the complex conjugate is given by the relation:

z* = a − ib

Now, from our question, we want to find the complex conjugate of 2 + 5i.

From the relationship above, it's clear that the complex conjugate here is;

2 - 5i

What is the solution to the equation? √x - 3 + 1 = 6
A. 64
B. 46
C. 28
D. 22

Answers

The solution of the given equation √x - 3 + 1 = 6 will be x = 64 so option (A) will be correct.

What is the equation?

An equation can be defined in numerous ways. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.

For example 8x + 7y = 15.

Given the equation,

√x - 3 + 1 = 6

√x + (-3 + 1) = 6

√x - 2 = 6

√x = 6 + 2 = 8

By squaring

x = 8² = 64.

Hence "The solution of the given equation √x - 3 + 1 = 6 will be x = 64".

For more about the equation,

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Answer:the correct answer is C.28

Step-by-step explanation:

si compro una camisa de 100 pesos con el 10% de descuento cuanto tengo que pagar en total​

Answers

Answer:

$90

Step-by-step explanation:

10% de 100 es 10; 100-10=90

Answer:

90 pesos

Step-by-step explanation:

10% de 100 es 10. Resta esos 10 pesos de los 100, y te da tu resultado de 90 pesos.

Si necesitas que te lo explique mas, dime y te ayudare :)

At a particular university, statistics students miss a mean of 2.1 days of school each semester with a standard deviation of 2.5 days. What is the probability that the mean number of days missed for a random sample of 64 students will be more than 3

Answers

Yesss I get it periodttt poooh

Answer:

0.0018

Step-by-step explanation:

P(z>2.88)=1-0.9980= 0.0018

what is the product 7/11 and 3/7?​

Answers

Answer:  3/11

Step-by-step explanation:

you must do cross canceling to simplify the expression

then just do multiplication from left to right

7/11 times 3/7 the 7 can be crossed out and turned into a 1

then do 1 times 3 for the numerator then 11 times 1 for the denominator and get you answer 3/11


a) how would you work out 4 1/3 x 6?

Answers

I think you would work it by timing the 6 and 4

The solution of the expression 4¹/₃ x 6 will be 26.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 4¹/₃ x 6. The expression of multiplication will be solved as below,

E =  4¹/₃ x 6

E = ( 13 / 3 0 x 6

E = 13 x 2

E = 26

Hence, the solution will be 26.

To know more about an expression follow

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A merchant surveyed 370 people to determine the way they learned about an upcoming sale. The survey showed that 170 learned about the sale from the radio 140 from television 190 from the newspaper, 90 from radio and television, 120 from radio and newspapers, 80 from television and newspaper, and 70 from all three sources. how many people learned of the sale from newspapers or radio, but not both?

Answers

240

Because 170+190= 360 .
360-120=240

What is the Esquire root of 3?​

Answers

Answer:

1.732

Step-by-step explanation:

.......................

Answer: 1.7321


Explanation: The square root of a number is a value that, when multiplied by itself, gives the number. For 3 , that number is 1.7321 .

I hope you find this helpful.

Sandra sets the cruise control in her car to 67 miles per hour when she goes on road trips. Which equation can be used to find how many hours, h, it will take her to drive m miles at her constant speed?

Answers

Answer:

A. [tex]\frac{m}{65} = h[/tex]  

I hope this helps!

A bus holds 30 people, and a van holds 10 people. Write an expression that shows the number of people that could fill b buses and v vans?

Answers

Answer:

30b+10v

Step-by-step explanation:

Quadrilateral EFGH is a scaled copy of quadrilateral ABCD. Select the true statement.

Answers

Answer:

segment EF is twice as long as segment AB

Step-by-step explanation:

Quadrilateral EFGH and quadrilateral ABCD are similar polygons. We can say that two polygons are similar if their corresponding angles are equal to each other and their corresponding sides are proportional to each other.

From the image attached, we can see that side CD and side GH are corresponding sides. The ratio of their sides are to be proportional.

GH / CD =  12 / 6 = 2

Therefore Quadrilateral EFGH is twice the size of Quadrilateral ABCD. Since side EF and side AB are proportional, therefore segment EF is twice as long as segment AB

I needs help how do i shave my ba. lls​

Answers

Answer:

WHAT THE FAWK SRE YOU SAYING AND WRITING

Answer:

truste me dont!

Step-by-step explanation:

Suppose the average yearly salary of an individual whose final degree is a​ master's is ​$(blank) thousand less than twice that of an individual whose final degree is a​ bachelor's. Combined, two people with each of these educational attainments earn ​$(blank) thousand. Find the average yearly salary of an individual with each of these final degrees.

Answers

Complete question :

Suppose the average yearly salary of an individual whose final degree is a​ master's is ​$41 thousand less than twice that of an individual whose final degree is a​ bachelor's. Combined, two people with each of these educational attainments earn ​$118 thousand. Find the average yearly salary of an individual with each of these final degrees.

Answer:

Bachelors = $53000

Masters = $65000

Step-by-step explanation:

Given that :

Let Salary of bachelor's degree holder = b

Salary of Master's degree holder = 2b - 41000

Master's + bachelor's salary = $118,000

Hence,

2b - 41000 + b = 118,000

3b = 118000 + 41000

3b = 159000

b = 159000 / 3

b = $53,000

Bachelor's degree salary = $53,000

Master's degree salary ; 2b - 41000

2(53000) - 41000 = 65000

This is my last question.

Answers

Answer:

NOM and POR

(so so sorry if it's wrong, I tried my best to help you but I had to look up an image of a angle like that but i hope you have a wonderful day, sorry again if i am wrong, i hope i help in a way, in i did not, sorry)

Bryce orders the following items from a catalog. What is the total price he charges to his credit card if the sales tax is 6 percent and nontaxable shipping costs $5 for the order? Round to the nearest cent if necessary.

Answers

Answer:

The answer is C : $115.54

Step-by-step explanation:

If you add every single items cost together, the total is $109.00

60 + 14 = 74

10 + 25 = 35

74 + 35 = $109

You then caculate what 6% percent of 109 is = $6.54

After that, you add the total and percent together

$6.54 + $109.00  = $115.54

Answer:answer is c

Step-by-step explanation:I took edge 2022

Maria needs 3/4 of a cup of sugar for one serving of her recipe. How many cups of sugar will she need for 5 servings?

Answers

Answer:

3.75 cups of sugar. I think

Answer:

3 3/4

Step-by-step explanation:

3/5 times 5

1.multiiply the numerator by 5

The numerator is the top number which is 3 in this case

So 3x5 is 15

You keep the denominator 4

so 15/4 that is an improper fraction now divide 15 by 4

or count by fours

4,8,12,16

16 is more than 15 so the new numerator is 12 and how many times did we count to fours? 3 times

so 3 is a whole now subtract the 12 you already took with 15. 3 is the extra so 3 wholes and 3 extras which is 3 3/4

*remember you keep the denominator the same

List and describe the characteristics of a wave

Answers

Answer:

Crest = Highest point of the wave.

Trough = Lowest point of the wave.

Wavelength = Distance from one crest/trough to the next (m)

Wave Height = Height from trough to crest (m)

Wave steepness = ratio of wave height to wavelength.

Amplitude = distance from the centre of wave to the bottom of the trough (m)

Step-by-step explanation:

Customers at the Palace Pro Shop receive a 10% discount if they are members. All customers must pay 7% in sales tax. The function f(x)=0.9x is used to determine the price of an item after the 10% member discount, where x is the regular price of the item. The function g(x)=1.07x is used to determine the total amount customers pay for a purchase after all discounts are applied. Which function can be used to determine T(x), the total amount a member pays for an item with a regular price of x dollars?

T(x)=0.963x
T(x)=0.17x
T(x)=1.19x
T(x)=1.97x

Answers

Answer:

0.963

Step-by-step explanation:

It’s correct

A simple random sample of 100 men is chosen form a population with mean height 71 in and standard deviation 2.5 in. What is the probability that the average height of the men in the sample is less than 70.5in?

Answers

Answer:

2.28%

Step-by-step explanation:

The z score is used to determine how many standard deviations that the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and if it is negative then it is below the mean. It is given by:

[tex]z=\frac{x-\mu}{\sigma}\\ \\\mu = mean, \sigma=standard\ deviation,x=raw\ score\\\\For\ a\ sample\ n\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }\\\\For\ x<70.5\ in\\\\Given \ that\ n=100, \mu=71\ in, \sigma=2.5\ in\\\\z=\frac{70.5-71}{2.5/\sqrt{100} }=-2\\\\From\ normal\ distribution\ table, P(x<70.5)=P(z<-2)=0.0228=2.28\%[/tex]

Five more than Bob’s age is 23. How old is Bob? equation

Answers

Answer:

18 Years Old

Step-by-step explanation:

23 - 5 = 18 Years Old

Hope this helps! <3

Answer:

18 yeara old

Step-by-step explanation:

let Bob's age be 'x'

5 more than Bob's age means

5+x ...is 23

Therefore, 5+x=23

x= 23-5

18

Bob is 18 years old.

Hope it helped.

Please help and i will brainliestttt

Answers

Answer:

7/3 cm per hour

Step-by-step explanation:

Answer:  7/3  or in decimal form 2.3   the three is repeating or in mixed number 2 1/3

Step-by-step explanation:

7 divided by 3= 3/3 or in decimal form 2.3 the three is repeating or in mixed number 2 1/3

7 is for how much snow fell and the 3 is from how much time

1. which group weighed the most per item on the scale? how much did it weigh?

which group weighed the least per item on the scale? how much did it weigh?

And also complete the table.

Please help it is due right now ASAP​

Answers

Answer:

cars weighed the most per item and desks the least

Hey! I'm having trouble with this one problem in precalc.
Verify the identity: cot x minus pi divided by two = -tan x

Answers

Answer:

O-O is this highschool stuff sorry couldnt help

Step-by-step explanation:

Please help me for a TEST review tomorrow!!

Answers

Answer:

Hope you understand my writing!

Solve the inequality. Graph the solution. -4s<6s +1

Answers

Answer:

Step-by-step explanation:

First solve the inequality by writing it.

-4s < 6s + 1

Now subtract -1 on both sides.

-4s - 1 < 6s

Now add 4s on both sides to combine like terms.

-1 < 10s

Now divide 10 on both sides.

-0.1 < s

Now flip it over properly.

s > -0.1

Hope this helped! <3

can you write an equivalent fraction for 9/11 and 6/7 using the least common denominator ?

Answers

Answer:

The least common denominator is 77 so the fractions would become 63/77 and 66/77.

Show your work:
−15x = 0

Answers

Answer:

Step-by-step explanation:

-15x = x = 0/-15

x = 0

Step-by-step explanation:

-15x=0

-15x/-15=0/-15

x=0

-15(0)=0

Sub to SZ Lexrn if that does not show search up shiyo on vr and first vid is them please help out , thx bye . If you do it cmt and ill make a post for yall for 100 points, please bro..

Answers

Answer:

Ooooook?

Step-by-step explanation:

Fine

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