The half-life of carbon-14 is 5730 years. How long will it take for the number of
carbon-14 nuclei in a sample to drop to a quarter of the original number?
Enter your answer as a number
years

Answers

Answer 1

Answer:

11460 years

Explanation:

Let N₀ be the initial amount of carbon present. After one half-life, its value is N₀/2, after two half-lives, it is N₀/4 = N₀/2². After n nalf-lives, it is N = N₀/2ⁿ.

Now, if the value of carbon-14 drops to a quarter of its initial value, then N = N₀/4.

So, N₀/4 = N₀/2ⁿ

1/4 = 1/2ⁿ

1/2² = 1/2ⁿ

Comparing the exponents, n = 2.

So the value of carbon-14 present drops to a quarter of its initial value in 2 half-lives.

Since one-half life equals 5730 years, then two-half-lives is 2 × 5730 years = 11460 years

So, it takes carbon-14 11460 years for the number of nuclei to drop to a quarter of its initial value.


Related Questions

Find the average velocity if the takeoff velocity of an airplane on a runway is 300 km/hr with an acceleration of 1 m/s2 . A) 30 sec B) 41.7 sec C) 72.2 sec D) 83.33 sec

Answers

Answer:

83.33s

Explanation:

velocity=300km/hr ,acceleration =1m/s2

But before we can make this calculation,we have to make sure that both the acceleration and velocity are in the same units.So I decided to Chang the velocity to m/s.

Converting 300km/hr into m/s;

Changing 300km into m=300000m

Changing 1hr into secs=3600sec

Velocity in m/s=83.33m/s

But Time =velocity/acceleration

=83.33/1

=83.33sec

You have to decide what you want.  Your question says "Find the average velocity", but the choices you listed are all times, not velocities.

(300 km/hr) x (1 hr / 3600 sec) = 83.33 meters/sec

-- If the airplane starts from rest and accelerates uniformly at 1 m/s², it'll take 83.33 seconds to reach takeoff speed.

-- If it starts from rest and accelerates uniformly to 83.33 m/s, then its average speed is 41.67 m/s no matter what its acceleration may be.

If an object absorbs energy at the same rate as it gives off energy, then __________.

Answers

Answer:

The temperature remains constant

Explanation:

From the radiation law, the net energy radiated P = Power radiated - Power absorbed

Now, let the body be at a temperature T₁ above its surroundings, the rate at which energy is given of is  P₁ = σεAT₁⁴

let T₂ be the temperature of its surroundings, the rate at which energy is absorbed is P₂ = σεAT₂⁴

The net energy radiated (Power radiated) P = P₂ - P₁ = σεAT₂⁴ - σεAT₁⁴ = σεA(T₂⁴ - T₁⁴)

Now, if the object absorbs energy at the same rate it gives off energy, P₁ = P₂ and P = 0.

So, σεA(T₂⁴ - T₁⁴) = 0

Since σεA ≠ 0 then (T₂⁴ - T₁⁴) = 0 ⇒ T₂ = T₁

Since there is no temperature difference, the temperature of the object remains constant.

I NEED HELP PLEASE, THANKS :) What does it mean when white light is diffracted and at a particular location the color seen is blue?

Answers

Answer:

This is because white light consists of 7 colours with different angles o deviation or retraction.

Explanation:

When a narrow beam of light is refracted by a prism the light spreads into a band of colours (called the spectrum of light )

But in this case if a blue colour is observed it is due to the angle of refraction ,for instance red is refracted the least and hence is seen

Answer:

When while light is diffracted and at a particular location blue color is seen, this means that blue color is reflected while all other colors will be absorbed. When the blue color is seen denotes the shortest wavelength being reflected and all other being absorbed at the specified location.

The coldest layer of Earth’s atmosphere is the __________. a. troposphere c. mesosphere b. stratosphere d. thermosphere

Answers

Answer: c.mesosphere

Explanation: Temperatures can reach lows of -90 degrees Celsius in the mesosphere, making it the coldest layer of the earth's atmosphere. The mesosphere extends above the stratosphere and ranges from 50 km to 87 km above the surface.

Answer is C i took the test

Las esferas metálicas que se muestran en la figura se cargan con 1C cada una. La balanza se equilibra al situar el contrapeso a una distancia x del eje Se pone una tercera esfera a una distancia 2d por debajo de a esfera A y cargada con -2C. Para equilibrar la balanza se debe mover el contrapeso a la derecha, porque?

Answers

Answer:

this relationship to be true the value  x ’must be positive, so it must move to the right.

Explanation:

En este ejercicio debemos utilizar la relacion de equilibrio rotacional.

Fijemos un sistema de referencia situado en el eje de jiro del sistema y la rotación antihoraria es positiva.

Las esferas estan a la izquierda y el contrapeso ala derecha

                W d = w_contrapeso  x

donde W es el peso de las esferas de d su distancia hasta eleje de giro

Ahora colocamos la carga negativa debajo de la esfera A, como las cargas son de diferente signo  las dos esferas se atraen, lo que crea una fuerza hacia bajos de magnitud

       F =k q₁ q₂/r²

       F =8,9 10⁹  1 2/ (2d)²

       F = 4,45/d²  N

volvamos escribir la ecuación de equilibrio rotacional con esta fuerza

          F d + W d = W_contrapeso (x+x’)

          (4,45 10⁹ /d²) d + W d = W_conrapeso x+ W contrapesos x’

en la primera ecuación vimos que  dos terminos se igualan ,por lo cual se anulan quedando  

          4,45 10⁹/d = W contrapeso x’

para que esta relación sea cierta el valor e x’ debe ser positivo, por lo cual debe moverse a la derecha.  

Traduction

In this exercise we must use the relationship of rotational equilibrium.

Let's fix a frame of reference located on the system's axis of rotation and the counterclockwise rotation is positive.

The spheres are on the left and the counterweight on the right

                W d = w_counterweight x

where W is the weight of the spheres of d its distance to the turning axis

Now we place the negative charge under sphere A, as the charges are of different sign the two spheres attract, which creates a downward force of magnitude

       F = k q₁ q₂ / r²

       F = 8.9 10⁹ 1  2 / (2d)²

       F = 4.45 / d² N

let's rewrite the rotational equilibrium equation with this force

          F d + W d = W_ counterweight (x + x ’)

          (4.45 10⁹ / d²) d + W d = W_counterweight x + W counterweights x’

In the first equation we saw that two tenunos are equal, which is why they cancel, leaving

          4.45 10⁹ / d = W counterweight  x ’

for this relationship to be true the value  x ’must be positive, so it must move to the right.

A train starts from rest .It moves through 1km in 100s with uniform accelaration . What will be its speed at the end pf 100 s

Answers

Answer:

Explanation:

Distance = 1 km

= 1000m

Time = 100 sec

Speed = distance / time

= 1000 / 100

= 10 m/s

I NEED HELP PLEASE, THANKS!
Find or draw at least two pictures that illustrates Newtons first Law. Write a paragraph describing how each of the pictures you choose illustrates the law.

Answers

Explanation:

When a person is standing still, the forces acting on them (weight force pulling down and normal force pushing up) are equal and opposite, so the net force is balanced.  So the person will continue to be at rest, unless the net force becomes unbalanced.

When a person falls with a parachute, the forces acting on them (weight force pulling down and air resistance pushing up) are equal and opposite, so the net force is balanced.  So the person will continue to fall at the same speed until the net force becomes unbalanced.

A right triangle ABC has sides /AB/ =9cm, /BC/=12cm find /AC/ and angles ACB and ABC if angle BAC= 90°​

Answers

fdi9bn 08989089089008i uuuuuuri9ij

A gas baloon bursts when comes to a high altitude.... Plss answer it

Answers

Answer:yess

Explanation:as weather balloons travels from the earth's surface, the air pressure around ballons decreases slowly.As the air gets thinner,the gallons casing gets tighter.

This is due to gas expanding within balloon.The expanding gas causes the balloons to reach maximum height and it burst.

You have a graduated cylinder that you use to measure volume. The cylinder
is marked in 1 ml increments. Which measurement made using this cylinder
contains the correct number of significant digits?
A. 35.5 ml
B. 320.01 ml
C. 75.333 ml
D. 21 ml

Answers

Answer:

35.5 ml

Explanation:

The other guy made me get the question wrong lol here ya go good luck

HELLLP PLEASE || the graph below shows a conversion of energy for a skydive jumping out of a plane and landing safely on the ground. which energy is represented by line A? A) Potential B) Thermal C) Kinetic D) Total Energy

Answers

Answer: I maybe wrong but i'm pretty sure its C) Kinetic energy

Jessica stretches her arms out 0.60 m from the center of her body while holding a 2.0 kg mass in each hand. She then spins around on an ice rink at 1.1 m/s.
a. What is the combined angular momentum of the masses?
b. If she pulls her arms into 0.15 m, what is her new linear speed?

I'm really confused ab the explanations behind this. help, please

Answers

Answer:

a.) L = 2.64 kgm^2/s

b.) V = 4.4 m/s

Explanation: Jessica stretches her arms out 0.60 m from the center of her body. This will be considered as radius.

So,

Radius r = 0.6 m

Mass M = 2 kg

Velocity V = 1.1 m/s

Angular momentum L can be expressed as;

L = MVr

Substitute all the parameters into the formula

L = 2 × 1.1 × 0.6 = 1.32kgm^2s^-1

the combined angular momentum of the masses will be 2 × 1.32 = 2.64 kgm^2s-1

b. If she pulls her arms into 0.15 m,

New radius = 0.15 m

Using the same formula again

L = 2( MVr)

2.64 = 2( 2 × V × 0.15 )

1.32 = 0.3 V

V = 1.32/0.3

V = 4.4 m/s

Her new linear speed will be 4.4 m/s

Which property of sugar makes it different from white crystalline sand?

Answers

Answer:

The property of sugar which makes it different from sand is that sugar can dissolve in water. Explanation: however the power of dissolving of sand is not present. This is due to the presence of interaction between sugar and water.

Explanation:

I hope that was useful

A ray diagram is shown what does the letter x represent?

Answers

Answer: angle of incidence

Answer:

A) angle of incidence

Explanation:

e)
The surface area of foot of Bimaba is 150cm? If she weighs 50kg,
how much pressure does she exert on the ground, as she stands on
her one foot? (32666.67 pa)​

Answers

Answer:

Pressure, P = 32666.66 Pa

Explanation:

It is given that,

Surface area of foot of Bimaba is 150 cm² or 0.015 m².

Her weight is 50 kg

We need to find the pressure does she exert on the ground, as she stands on  her one foot. The force acting per unit area is called pressure. It can be given by :

[tex]P=\dfrac{F}{A}\\\\P=\dfrac{mg}{A}\\\\P=\dfrac{50\times 9.8}{0.015}\\\\P=32666.66\ Pa[/tex]

So, the pressure is 32666.66 Pa.

Which is an example of a fission reaction? Check all that apply.

H + H → He 2n

+

239 Pu + n + 1904 Ce + Kr + 2n

295 Am + in → 154 La + 95 Sr + 3 in

13C + H + 4N

Answers

Answer:

Check Explanation

The fission reactions include

239 Pu + n → Ce + Kr + 2n

And

295 Am + in → 154 La + 95 Sr + 3 n

Explanation:

A fission reaction is a radioactive reaction in which an atom with a heavy nuclei splits into atoms with smaller or lighter nuclei usually brought about by the attack of a fundamental particle and accompanied by the release of some fundamental particles (neutrons mostly) and energy.

Although, the reactions to be examined aren't totally clear, we can still guess which element is which and know which of the reactions has a heavier nuclei splitting into smaller ones.

1) H + H → He + 2n

Two hydrogen atoms combine to give an helium atom and release neutrons too, showing that here, smaller molecules combine to form a bigger one. Hence, this isn't a fission reaction, rather, it's a fusion reaction.

2) 239 Pu + n → Ce + Kr + 2n

Here, Pu (Plutonium, atomic mass 239), a heavy nuclei that splits into smaller nuclei, Ce (Cerium, atomic mass 140) and Kr (Krypton, atomic mass 84) together with some neutrons to fit the definition of a fission reaction. Hence, this reaction is a fission reaction.

3) 295 Am + n → 154 La + 95 Sr + 3 n

Here, Pu (Americium, atomic mass 295), a heavy nuclei that splits into smaller nuclei, Ce (Lamthanium, atomic mass 154) and Sr (Strontium, atomic mass 95) together with some neutrons to fit the definition of a fission reaction. Hence, this reaction is a fission reaction.

4) 13C + H → 14N

Carbon 13 combines with a hydrogen element to mutate and give nitrogen-14, a heavier nuclei, showing all signs of a nuclear fission and not fission.

Hope this Helps!!!

Answer:

b and c

Explanation:

got it correct on edg

What activity level should participants be in when exercising in their target heart rate zone

Answers

Answer:

La frecuencia cardíaca objetivo durante las actividades de intensidad moderada es aproximadamente del 50 al 70% de la frecuencia cardíaca máxima, mientras que durante la actividad física intensa es de, aproximadamente, entre el 70 y el 85% del valor máximo.


Place the types of radiation in order of INCREASING mass.

Answers

Answer & explanation:

Gamma Radiation (γ):  Also called gamma rays. Gamma radiation is made of electromagnetic waves, has zero charge and mass, continuously emits heat and has the ability to ionize air and make it conductive of electric current. Beta radiation (β): Beta rays or beta particles, are electrons, negative particles with charge - 1 and mass number 0.Alpha radiation (α): Also called alpha particles or alpha rays, are particles charged by two protons and two neutrons.  They have positive charge +2 and mass number 4.

What type of bond is most likely to form between atoms of the same element when the element is a metal?​

Answers

Answer:Covalent bond

Explanation:

a loop with a break in it that prevents current form flowing is called a(n) blank circuit

Answers

Answer: it is called a open circuit

Explanation:

A ball is thrown at a wall with a velocity of 5 m/s and bounces off at 4 m/s as shown in the diagram. If the impulse provided by the wall is 3 Nm, then what is the mass of the ball?

Answers

Answer:

m = 3 kg

Explanation:

It is given that,

Initial speed of a ball is 5 m/s, u = 5 m/s

Final speed of a ball is 4 m/s, v = 4 m/s (as it bounces)

Impulse provided by the wall is -3 N-m (impulse is provided in opposite direction)

We need to find the mass of the ball. Impulse provided to an object is given by the change in its momentum as :

J = m(v-u)

m is mass of the ball

[tex]m=\dfrac{J}{(v-u)}\\\\m=\dfrac{-3}{(4-5)} \\\\m=3\ kg[/tex]

So, the mass of the ball is 3 kg.

a solid weighs 18.36N on the surface of the moon. The force of gravity on the moon is 1.7Nkg-1. Determine the mass of the solid​

Answers

Answer:

mass of the solid is 10.8kg

Explanation:

Weight of the solid=w=18.36N

Force of gravity on the surface of the moon=g=1.71Nkg^-1

Mass of the solid on the moon=m=?

as we know that

weight=mass×force of gravity

here we have to find the mass

[tex]\frac{weight}{force of gravity}[/tex]=mass

mass=[tex]\frac{18.36N}{1.7Nkg^-1}[/tex]

Mass of the solid=10.8kg

i hope it will help you


All matter is made up of________ called atoms or molecules


Answers

Energy hope it helps
Energy

Hope it helps you

I NEED HELP PLEASE, THANKS! :) Why is it a good idea to touch a metal pole, or similar conductor, before filling up a car with gas?

Answers

Answer:

While filling up the gas, a static discharge can take place which is really dangerous for us. It can even ignite a fire at the gas station. Touching the metal pole or any conductor will pass all of the charge into the Earth and thus we'll keep safe.

Answer:

It is a good idea to touch a metal pole or similar conductor before filling up a car with gas because it will discharge any static electricity on you, making it safer for everyone.

Explanation:

Garret, Melody and Tony start their school day with brand new pencils. By the end of the day, they want to see who used his or her pencil the most. They decide that the shortest pencil will be the most used, and the longest pencil would be the least used. How should the students determine which pencil was used the most?

Answers

HELLO MATE

HERE IS YOUR ANSWER

THEY SHOULD COMPARE THE LENGTH OF PENCILS WITH EACH OTHER .

HOPE IT HELPS.

PLEASE MARK AS BRAINLIEST AND FOLLOW ME ......

A 4400 W motor is used to do work. If the motor is used for 200 s, how much work could it do? (Power: P = W/t) 22 J 4200 J 4600 J 880,000 J

Answers

Answer:

880,000 J

Explanation:

P = W/t

4400 W = W / 200 s

W = 880,000 J

Answer:

880,000 J

Explanation:

I NEED HELP PLEASE, THANKS! Describe each Newton Law. :)

Answers

Explanation:

1st- states that when two bodies interact, they apply forces to one another that are equal in magnitude and opposite in direction. 

2nd- states that the time rate of change of the momentum of a body is equal in both magnitude and direction to the force imposed on it. (most important law)

3rd- states that when two bodies interact, they apply forces to one another that are equal in magnitude and opposite in direction. (law of action/reaction)

Which of the following represents the equation of motion of a steel ball thrown into a viscous liquid when it is moving with an acceleration a ?(A) W-V-U=ma (B)W-U=ma-V (C)W-U-V=0 (D)U-V=W

Answers

Answer: A

Explanation: When a steel ball is thrown into a viscous liquid, three forces will act on the ball.

1.) The viscous drag force V which is acting upward

2.) The buoyant force U which is acting upward and

3.) The weight of the ball W. Which is acting downward.

When it is moving with an acceleration a, the weight W will be greater than U and V

Since Force = ma.

The resultant vector force will be

W - V - U = ma

A diverging lens of focal length 18.0m is used to view a shark that is 90.0m away from the lens. If the image formed is 1.0m long, calculate the: (i) image distance; (ii) length of the shark.

Answers

Answer:

i. + 22.5 m ii. 4.0 m

Explanation:

i. Image distance

Using the lens formula

1/u + 1/v = 1/f where f = focal length = + 18.0 m, u = object distance = distance of shark away from lens = + 90.0 m and v = image distance from lens = unknown

So, we find v

1/v = 1/f - 1/u

= 1/+18 - 1/+90

= (5 - 1)/90

= 4/90

v = 90/4

= + 22.5 m

So the image is real and formed 22.5 m away on the other side of the lens.

ii Length of Shark

Using the magnification formula, m = image height/object height = image distance/object distance. image height = 1.0 m where object height = length of shark.

m = image distance/object distance

= v/u

= +22.5/+90

= 0.25

0.25 = image height/object height

So,

object height = image height/0.25

= 1.0 m/0.25

= 4.0 m

So, the length of the shark is 4.0 m

To which category does galaxy #4 belong? Why does it belong in this category?

Answers

Answer:

The Galaxy IV satellite belongs to the HS-601 model category. It was engineered by Hughes Space and Communications Company (HSC)

Explanation:

The Galaxy IV belong in this category because it is a communications satellite. It was built for direct television broadcasting, for private business networks and mobile communications.

Cheers!

Other Questions
Write your own word problem that involves a multistep linear equation. Then translate your problem into its resulting math equation. Suppose that Tommy takes a workplace personality quiz that shows that he is highly creative. Store managers decide to transfer him to the produce department, where he is trained in cutting produce and displaying it on the shelves. Which approach to job design best characterizes this scenario? What is the standard form for the quadratic function?g(x)=(x+1)22 g(x)=x2+2x1 g(x)=x23 g(x)=x22x4 g(x)=x21HELP PLEASE!!!!!! A common laboratory reaction is the neutralization of an acid with a base. When 31.8 mL of 0.500 M HCl at 25.0C is added to 68.9 mL of 0.500 M NaOH at 25.0C in a coffee cup calorimeter (with a negligible heat capacity), the temperature of the mixture rises to 28.2C. What is the heat of reaction per mole of NaCl (in kJ/mol)? Assume the mixture has a specific heat capacity of 4.18 J/(gK) and that the densities of the reactant solutions are both 1.07 g/mL. Enter your answer to three significant figures in units of kJ/mol. Suppose that a young couple has just had their first baby and they wish to ensure that enough money will be available to pay for their child's college education. Currently, college tuition, books, fees, and other costs average $20,000 per year. On average, tuition and other costs have historically increased at a rate of 6% per year. Assuming that college costs continue to increase an average of 6% per year and that all her college savings are invested in an account paying 8% interest, then the amount of money she will need to have available at age 20 to pay for all four years of her undergraduate education is closest to ________. Could you please help me with this problem. There is a list of seven numbers. The average of the first four numbers is 5, and the average of the last four numbers is 8. If the average of all seven numbers is (6 + 4/7), find the number common to both sets of four numbers. Explain the significance of of ukiyo-e, and the Impact it had on western life and art produced in the late 1800s A baby saw a toy and scooted closer, moving 1/3 of a meter in 1/4 of a minute.How fast was the baby moving Read the following excerpt from the gift of the magi and answer the question The narrator in the passage can best be described asFirst-personO Third-person omniscientThird-person limitedAn unreliable narrator Carla earns $564 for 30 hours of work. Which represents the unit rate?a) $30 per hour b) $168 per hour c) $18.80 per hour d) $5.30 per hour n the summer there are many teenagers looking for minimum wage jobs, so firms are able to fill all open positions easily. This suggests that, at least during the summer, the supply of labor is: Indeed, it is not difficult to see that there might have legal arguments as to whether the power to end the war and manage ___________? The law of demand states that price and quantity demanded move in. similar. opposite. parallelD identicalsm help me pls in 10 minutes Which is a function of nucleic acids? create movement provide structure store genetic information fight disease What is the Ka of a 0.0796 M solution of nitrous acid (HNO2) with a pH of 2.95? The following selected transactions were completed by Fasteners Inc. Co., a supplier of buttons and zippers for clothing: 20Y3 Nov. 21 Received from McKenna Outer Wear Co., on account, a $66,000, 60-day, 8% note dated November 21 in settlement of a past due account. Dec. 31 Recorded an adjusting entry for accrued interest on the note of November 21. 20Y4 Jan. 20 Received payment of note and interest from McKenna Outer Wear Co.Required:Journalize the entries to record the transactions. Heidi looks at the donkeys andtourists. She counts 50 headsand 114 legs.How many donkeys are there?oANSWER:O The retired question 3 ways by which industries can be financed in west africa a scientist is conducting an investigation that involves water,silver corbon dioxide,and oxygen gas. Which group of statement best describes all of the materials he is using in the investigation?