Carbon-14 dating assumes that the carbon dioxide on Earth today has the same radioactive content as it did centuries ago. If this is true, the amount of 14C absorbed by a tree that grew several centuries ago should be the same as the amount of 14C absorbed by a tree growing today. A piece of ancient charcoal contains only 38% as much of the radioactive carbon as a piece of modern charcoal. How long ago was the tree burned to make the ancient charcoal? (The half-life of 14C is 5715 years. Round to the nearest year.)

Answers

Answer 1

7978 years

Step-by-step explanation:

A = A02^(-t/hl)

where hl = half-life.

Dividing both sides by A0 and taking the logarithm, we get

ln(A/A0) = -(t/hl)ln2

or solving for t,

t= -(hl)ln(A/A0)/ln2

note that A/A0 = 0.38

t = -(5715 yrs)[ln(0.38)/ln2]

= 7978 years


Related Questions

find the sum of the numbers if their sum is -11 and their difference is 41

Answers

Answer:

-52

Step-by-step explanation:

-11 -14 are same sign is equal to plus ,,so that is answer -52 ...

Answer:

- 11 - 41

-52 is the right answer....

Estimate 16.82-8.264 by first rounding each number to the nearest tenth.
pls help i need the right answer!

Answers

Answer:

about 8.40

Step-by-step explanation:

16.82-8.264

Rounding 16.82

look at the hundredths place and determine if it is greater than or equal to 5. If so round up. If not, leave it the same. Since 2 is not greater than or equal to, we can estimate 16.80.

rounding 8.264

6 is above 5, so we can round 2 to 3. making 8.364.estimate 8.40

16.80-8.40=8.40

URGENT , Find the measure of the arc indicated. Assume that lines which appear to be diameters are actual diameters

Answers

43m
i think that's the answer not 100% though

The formula for the area of a triangle is 1A bh2=, where b is the length of the base and his the height. Rearrange the formula to isolate h

Answers

Answer:

h = 2A/b

Step-by-step explanation:

Area of a triangle, A = 1/2bh

Where,

b = base of the triangle

h = height of the triangle

Rearrange the formula to isolate h

A = 1/2bh

Multiply both sides by 2

2 * A = 2 * 1/2bh

2A = bh

Divide both sides by b

2A / b = bh / b

2A / b = h

Therefore,

h = 2A/b

in yoga class, all of the students are lined up according to height. Andy notices that the number of students who are taller than he is one-fourth the number of students who are shorter than he. Violetta notices that there are 3 times as many students who are taller than she than students who are shorter than she. How many students are the class is there are fewer than 40 students?

Answers

Answer: i think its 21! how idfk but it was on some website...dont hatecrime me!

Step-by-step explanation:

help please help help help

Answers

Answer:

area = 32

perimeter = 30

Step-by-step explanation:

Formulas:

Area of a parallelogram: A = bh

Perimeter of a parallelogram: P = 2 ( b + s )

Where h = height s = slant height and b = base length

Define:

b = 8

h = 4

s = 7

Plug in given values into formulas and calculate

A = (8)(4)

8 * 4 = 32

A = 32

P = 2 ( 8 + 7 )

8 + 7 = 15

2(15) = 30

P = 30

Can someone help me out my grads are bad

Answers

Answer:

5/10 + 1/10 = 6/10 or if you simplify it 3/5

Step-by-step explanation:

1/2 = 5/10

1/10 = 1/10

5/10 + 1/10 = 6/10

6/10 = 3/5

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answer:

1/2 + 1/10 = 5/10+ 1/10 = 3/5

Step-by-step explanation:

Find the LCD of 2 and 10 (10)

Add the two together (6/10)

Reduce (3/5)

Have a good day :)

Place an X in the table to match the diameter of each circle with its approximate area.
Use 3.14 for 11.
7
314 m?
706.5 m?
1,256 m
2,122.64 m2
30 m
40 m
52 m

Answers

Answer:

bjbjy

Step-by-step explanation:

Savannah has a package of 20 candies with an equal number of candies colored white, blue, orange, purple, and yellow. If Savannah selected a yellow candy the first time, what is the
probability that she will randomly select, without replacement, another yellow candy?
A 3/19
B 1/5
C 4/19
D 1/4

Answers

Answer:

A 3/19

Step-by-step explanation:

There are 4 candies of each color. If you take out one yellow, you not only have three yellows; you have 19 candies. 3/19 is the answer.

Answer:

3/19

Step-by-step explanation:

There is an equal number of colored candies, in which there are 20 candies in all, and 5 colors:

20/5 = 4

Each color has 4 candies.

Savannah was able to obtain a yellow candy, and she does not replace it:

4/20 removing one yellow candy = 3/19

A) 3/19 is her chance of getting another yellow.

Que numero que elevado al cubo da -125?

Answers

Answer:

-5

Step-by-step explanation:

Make:

(-5)³ = (-5)×(-5)×(-5) = 25×(-5) = -125

3, 4, 5, 7, 9, 10, 2, 8

Mean__
Median__
Mode__
Range__

Answers

Mean- 6

Median- 6

Mode- 3, 4, 5, 7, 9, 10, 2, 8

Range- 8

Hope this Helped! :T

He is correct above

What is the slope of the line that passes through the points
(

8
,

3
)
(−8,−3) and
(

24
,
1
)
?
(−24,1)

Answers

Answer:

-0.25x-5

Step-by-step explanation:

Pleaseeee help #10 Which table below describes a linear function?
7 points
y
o
o
o
O
A
1
1
1
2
4
16
4
8
9
81
9
18
у
y
0
0
0
B
1
3
D
1
2
W
4
9
4
4
9
20
9
Ο Α
OB
Ос
Oo

Answers

Answer:a

Step-by-step explanation:

30 POINTS!!!!

HELP PLEASE!!!

Answers

Answer:

Step-by-step explanation:

Answer:

First Position: √22

Second Position: √19

Third Position: √21

Fourth Position: √18

Ferris wheel diameter was 250 feet. Calculate it’s radius. If 40 steel rods were joined at the centre find the total steel required?

Answers

Answer:

785.5ft

Step-by-step explanation:

Given data

Diameter= 250ft

Radius= D/2= 250/2= 125ft

The total steel required can be found from the Circumference

C= 2πr

C= 2*3.142*125

C= 785.5ft

Hence the total steel required is 785.5ft    

Victor is selling lemonade to raise money for his school.the amount of money he collected from his school. the amount of money he collected from his sales each day is summarized on the box plot below

Answers

The question is incomplete. The complete question is :

Victor is selling lemonade to raise money for his school. The amount of money he collected from his sales each day is summarized on the box plot below.

What is the interquartile range of the data ?

Answer:

$ 7

Step-by-step explanation:

It is given that Victor sold lemonade in order to raise money for his school.

The money that Victor collected is shown on the diagram below.

Therefore, we find the interquartile range. It is the difference between the 3rd quartile and the 1st quartile, i.e.

IQR = [tex]$Q_3-Q_1$[/tex]

Now from the figure, the 3rd quartile is the value that is at the end of the rectangular box towards the right. Therefore, the 3rd quartile is =  $ 29

Similarly from the figure the 1st quartile at the beginning of the rectangular box to the left is = $ 22

So the interquartile range is = 3rd quartile - 1st quartile

                                               = 29 - 22

                                                = $ 7

Thus the amount of money Victor collected is $ 7.

Help me please help, me help me help me help me help me help me help me help me

Answers

A- x=A

B- x=27

C- x=3

D- x=4

E- x=17

ANSWER- A and C

Hope this Helped! :T

The volume of two similar solids are 128 m3
and 250 m². The surface area of the larger
solid is 250 m². What is the surface are of the
smaller solid?

Answers

Answer:

Solution given:

The volume of two similar solids are 128 m³

and 250 m³.

surface area of larger solid is 250m²

let surface area of smaller solid be x.

Since they are similar

[tex] \frac{250}{128} = \frac{250}{x} [/tex]

x=128

the surface are of the

smaller solid is 128m²

The circumference of a circle is 100.48 feet. What is the circle's diameter?

Answers

Answer:

631.334460 ft

Step-by-step explanation:

i think

Answer:

32 feet

Step-by-step explanation:

Since we know that the formula for finding circumference is C = π · d, and π is equal to 3.14, we reverse the formula so it fits what information we have.

We know that C = 100.48 and we also know that π = 3.14 so all we have to find is the diameter.

To do this, you divide 100.48 by 3.14 to get 32 feet as your final answer.

A tunnel is built in form of a parabola. The width at the base of tunnel is 7 m. On
the ceiling 3 m from each end of the base there are light fixtures. The height to light
fixtures is 4 m. A trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive
through the tunnel? Is this possible? (Give full algebraic solution.

Answers

Given:

The width at the base of parabolic tunnel is 7 m.

The ceiling 3 m from each end of the base there are light fixtures.

The height to light fixtures is 4 m.

To find:

Whether it is possible a trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel.

Solution:

The width at the base of tunnel is 7 m.

Let the graph of the parabola intersect the x-axis at x=0 and x=7. It means x and (x-7) are the factors of the height function.

The function of height is:

[tex]h(x)=ax(x-7)[/tex]             ...(i)

Where, a is a constant.

The ceiling 3 m from each end of the base there are light fixtures and the height to light fixtures is 4 m. It means the graph of height function passes through the point (3,4).

Putting x=3 and h(x)=4 in (i), we get

[tex]4=a(3)((3)-7)[/tex]

[tex]4=a(3)(-4)[/tex]

[tex]\dfrac{4}{(3)(-4)}=a[/tex]

[tex]-\dfrac{1}{3}=a[/tex]

Putting [tex]a=-\dfrac{1}{3}[/tex], we get

[tex]h(x)=-\dfrac{1}{3}x(x-7)[/tex]              ...(ii)

The center of the parabola is the midpoint of 0 and 7, i.e., 3.

The width of the truck is 4 m. If is passes through the center then the truck must m 2 m on the left side of the center and 2 m on the right side of the center.

2 m on the left side of the center is x=1.5.

A trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel is possible if h(1.5) is greater than 2.8.

Putting x=1.5 in (ii), we get

[tex]h(1.5)=-\dfrac{1}{3}(1.5)(1.5-7)[/tex]

[tex]h(1.5)=-(0.5)(-5.5)[/tex]

[tex]h(1.5)=2.75[/tex]

Since h(1.5)<2.8, therefore the trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel is not possible.

Twins issac and isaiah were just born issac weighs 6 pounds 2 ounces and isaiah weighs 5 pounds 4 ounces.How many ounces do issac and isaiah weigh together?

Answers

Answer: [tex]11\ \text{pounds}\ 6\ \text{ounces}[/tex]

Step-by-step explanation:

Given

Issac and Isaiah born weighing 6 pounds 2 ounces and 5 pounds and 4 ounces.

1 Pound is equivalent to 16 ounces

Issac weighs

[tex]\Rightarrow 6+\dfrac{2}{16}\ \text{Pounds}[/tex]

Isaiah weighs

[tex]\Rightarrow 5+\dfrac{4}{16}\ \text{Pounds}[/tex]

Their combined weight is

[tex]\Rightarrow 6+5+\dfrac{2}{16}+\dfrac{4}{16}\\\\\Rightarrow 11+\dfrac{6}{16}\ or\\\\\Rightarrow 11\ \text{pounds}\ 6\ \text{ounces}[/tex]

2) Find the Volume
The volume is
cubic centimeters.
4 cm
4 cm
4 cm

Answers

the volume is 12 cm just multiple each 4



Bus A and Bus B leave the bus depot at 3 pm.
Bus A takes 25 minutes to complete its route once and bus B takes 30 minutes to complete its route once.
If both buses continue to repeat their route, at what time will they be back at the bus depot together?
Assume the buses have no breaks in between routes.
Give your answer as a 12-hour clock time.

Answers

Answer:

5:30 pm.

Step-by-step explanation:

First find the LCM (lowest common multiple) of 25 and 30. This is the amount of minutes it will take for the buses to meet again.

25 can be broken up into 5*5

30 can be broken up into 5*6

The most amount of 5s found in a number is two times in 25 and the most amount of 6s found in a number is once in 30, so

25*6=150

150 is the LCM. This means that in 150 minutes, the buses will be back at the bus depot together.

All we have to do now is convert 150 minutes to hours.

One hour is 60 minutes, so 150/60 is 2.5 hours, or 2 hours and 30 minutes.

2 hours and 30 minutes after 3 pm is 5:30 pm.

plz solve this question mhanifa

Answers

Answer:

Option B

Step-by-step explanation:

Given:

4 - 3i

Conjugate of the given number is:

4 + 3i

Divide the given number by its conjugate:

(4 - 3i) / (4 + 3i) = (4 - 3i)(4 - 3i) / (4 + 3i)(4 - 3i) =(16 + 9i² - 24i) / (16 - 9i²) = (16 - 9 - 24i) / (16 + 9) = (7 - 24i) / 25 = 7/25 - 24i/25

Correct choice is B

Anyone know this answer?

Answers

Answer:

For number 1 the answer should be independent.

For number 2 the answer should be independent

And number 3 should also be independent

Step-by-step explanation:

My explanation is that they are all independent because you aren't depending on someone to help you do these things, therefore, independent.

I hope this helps :)

Tom is 5 1/2 feet tall.if Tom stands 30 feet from the base of an apple

Answers

Answer:

165

Step-by-step explanation:

please help! 20 points for answering. if you guess or just write something to just get points i will make sure your account gets banned. thank you!

Answers

It's the one with the greater than or less than sign (the second option) because Logan wants to make money greater than or less than $1000

(a) An angle measures 50°. What is the measure of its complement?

(b) angle measures 32°. What is the measure of its supplement?​

Answers

Answer:

a) 40 degrees b) 148 degrees

Step-by-step explanation:

a) Complementary angles are angles that in total measure 90 degrees, or form a right angle. If one angle is 50 degrees, then 90 - 50 = 40, meaning the measure of its complement will be 40 degrees.

b) Supplementary angles are similar but in total measure 180 degrees, or form a straight angle. If one angle measures 32 degrees, then 180 - 32 is equal to 148, meaning the measure of its supplement will be 148 degrees.

the rational number 3/8 is equivalent to​

Answers

Answer:

Step-by-step explanation:

rational number equivalent to 3/8 is 6/16

3*2/8*2=6/16

Multiplying both numerator and denominator with same number

your resturaunt bill is 42$ you want to leave a 15% tip, what should the tip be

Answers

Answer:

$6.30

Step-by-step explanation:

Answer:

The tip should be $6.30

Step-by-step explanation:

We can find 15 percent of 42$ by multiplying 42 by 0.15 (this is another way of writing down 15%) and so we get...

(42)(0.15) = 6.3

Therefore the tip should be $6.30

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