The half-life of Carbon-14 is 5, 730 years. you find a sample where 1.5625% of the original Carbon-14 still remains how old is that sample ?

Answers

Answer 1

Answer:

The sample is about 34380 years old.

Explanation:

The amount of Carbon-14 mass diminishes exponentially in time, whose model is described below:

[tex]\frac{m(t)}{m_{o}} = e^{-\frac{t}{\tau} }[/tex] (1)

[tex]\tau = \frac{t_{1/2}}{\ln 2}[/tex] (2)

Where:

[tex]m_{o}[/tex] - Initial mass, in grams.

[tex]m(t)[/tex] - Current mass, in grams.

[tex]t[/tex] - Time, in years.

[tex]\tau[/tex] - Time constant, in years.

[tex]t_{1/2}[/tex] - Half-life, in years.

If we know that [tex]\frac{m(t)}{m_{o}} = \frac{1.5625}{100}[/tex] and [tex]t_{1/2} = 5730\,yr[/tex], then the age of the sample is:

[tex]\tau = \frac{5730\,yr}{\ln 2}[/tex]

[tex]\tau = 8266.643\,yr[/tex]

[tex]t = - \tau \cdot \ln \frac{m(t)}{m_{o}}[/tex]

[tex]t = - (8266.643\,yr)\cdot \ln \frac{1.5625}{100}[/tex]

[tex]t \approx 34380.002\,yr[/tex]

The sample is about 34380 years old.


Related Questions

8. Son las actividades que consisten en la transformación de la materia prima en productos elaborados o manufacturados.​

Answers

Answer:

Actividades industriales.

Explanation:

La industria es la parte de la economía que produce bienes y proporciona servicios, a partir de la modificación de las materias primas obtenidas de la naturaleza.

La industria se puede dividir en cuatro partes. La primera parte son las industrias donde los recursos naturales se convierten en productos como la minería, la tala y la agricultura. La segunda parte son las industrias en las que las materias primas se convierten en productos, como la automoción y la siderurgia. La tercera parte son las industrias de servicios como el comercio y la banca. La cuarta parte es la investigación, el diseño y el desarrollo que pueden conducir al cambio y al progreso tecnológico. Los países en desarrollo suelen tener economías basadas más en la primera y segunda partes, mientras que en los países industrializados se pone más énfasis en la tercera y cuarta partes que en los países en desarrollo.

What should you do if you run aground and your boat has serious damage?

Answers

1.Don't put the boat in reverse. Instead, stop the engine and lift the outdrive.

2.Shift the weight to the area farthest away from the point of impact.

3.Try to shove off from the rock, bottom, or reef with a paddle or boathook.

4.Check to make sure your boat is not taking on water.

#BRAINLEST LOVE❣️

If a boat sustains serious damage, it is important to prioritize safety and take immediate action to ensure the well-being of everyone onboard.

Determine the extent of the damage and evaluate the immediate risks. If there is a threat to the safety of passengers or if the boat is taking on water, take immediate action to address those concerns.

Use marine VHF radio to call for help. Contact the nearest Coast Guard or marine authorities and provide them with your location, the condition of the boat, and any assistance you may require. If don't have a VHF radio, use any available means of communication to seek assistance.

Learn more about boat here:

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Is it predicted at all for the air pollution problem to get any better within the next two years?

Answers

Answer:

Since around 1970, air quality has improved dramatically, as of dangerous pollutants have dropped by almost 75%

Explanation:

so i would say hopefully

what are the uses thematic maps

Answers

Answer:

All thematic maps are composed of two important elements: a base map and statistical data. ... Thematic maps can be used for exploratory spatial data analysis, confirming hypotheses, synthesizing spatial data by revealing patterns and relationships, and data presentations

Thematic maps can be used for exploratory spatial data analysis and it can also be used to see patterns and data presentation.

The 'Eye' of the tropical cyclone is usually the calmest portion of the storm characterized by low winds and even the blue sky. The reason that the eye is calm because

Answers

Answer:

The answer is: the now strong surface winds that converge towards the centre never reach it.

Why the mode of pollination in maize is cross-pollination? Why it is important to cover the ear shoot with a butter paper bag before the emergence of silks? What could be the consequences if a few silks emerge before bagging?

Answers

Answer:

The correct answer is -

1. due to the fact that maize is a monoecious crop that has male and female flowers in separate parts of the same plant that distributed pollen by the wind to other female parts of another maize plant.

2. Once silks are visible, they may already  be contaminated with foreign pollen, so it is vital that ears shots are  bagged before the emergence of silks.

3. If silks have emerged before bagging which means they are already been contaminated with other pollen and which will affect the process of hand pollination and have other varieties than desired.

A three-story building had its lightweight roof uplifted. Hint: low-rise three-story, non-residential, roof uplifted completely, but no damage to walls. a. Damage Indicator Number:_________b. Degree of Damage:_________ c. Expected Wind Speed:_________ d. EF-scale Rating: _______

Answers

Answer:

a). 2

b). Moderate

c). 73-112 mph

d). F1

Explanation:

A Fujita scale is a scale that is used to determine the rating for the tornado intensities. It is used to measure the intensity of the tornado and provides a rating based on the damages made by the tornado on the human built structures and other vegetations.

The rating is based on the wind sped and the damages caused by the winds. When the damages caused by a tornado is surveyed, it is compared to the lists of Damage Indicators and the Degree of Damage which helps to estimate the range of the speeds of the tornado and an EF scale rating is provided accordingly.

In the context, It is given that the lightweight roof of a three storied building was uplifted. It was a non residential low rise three story building whose roof was uplifted completely but there was no damages made to the walls of the building.

So according to the EF scale, it provided a rating of :

Damage Indicator Number : 2

Degree of Damage : Moderate

Expected Wind Speed : 73-112 miles per hour

EF-scale Rating :  F1

which control of weather and climate predominantly affect ethiopian climate ?how?

Answers

Answer:

Altitude and relief features.

Explanation:

In Ethiopia, the climate changes mostly with altitudes and stays from hot to arid and to cool in plateaus. As t located near the equator, the country has variations in climate throughout the year. There exist various plateaus such as Ethiopian highland and mountainous ranges in the country which is responsible for the different climate of the places.

Why are earthquakes in Virginia felt so far away from the epicenter, while comparable (or larger) magnitude Earthquakes on the West coast are dampened closer to the epicenter

Answers

Answer:

En dos semanas la tierra ha temblado cuatro veces, con mayor o ... Y aunque se trata de fenómenos sin relación directa, coinciden en un ... El 20 de julio un temblor de magnitud 6,6 en la escala de Richter ocurrido cerca de las islas Kuriles, administradas por Rusia, se dejó sentir en el noreste de Japón.

Explanation:

6
The Earth completes one revolution every
A. day
B. week
C. month
D. year
Please select the best answer from the choices provided

Answers

Answer:

A. day

Explanation:

earth completes one revolution everyday

A because it’s just A all the time

Analyze the map below and answer the question that follows.
A map with longitude lines 0 to 50 degrees east, latitude lines negative 10 to negative 40 degrees south. Windhoek and Maputo, between negative 20 degrees and negative 30 degrees south. Antananarivo and Lilongwe, between negative 10 degrees and negative 20 degrees south. Windhoek is west, Antananarivo is east. Lilongwe and Maputo, between Windhoek and Antananarivo. Lilongwe, north.

Which of the following sets of coordinates are for the city of Antananarivo?
A.
25° S, 32° E
B.
18° S, 47° E
C.
13° S, 33° E
D.
22° S, 17° E

Please select the best answer from the choices provided.

A
B
C
D

Answers

Answer: I’m pretty sure it’s B

Answer:

ANSWER IS B HOPE THIS HELPS

Explanation:

Write any one area of population edu Cation and environment education each.​

Answers

Answer:

korean is population place

Marble and Quartzite can be similar in appearance. Name two simple ID techniques that can be used to differentiate between the two?

Answers

Answer:

The scratch test (also known as Mohs Hardness scale) is a way you can test a mineral or stones for its endurance. The minerals you test are scratched by a penny and are measured on a scale of 1-10 on how durable they are. Stones such as quartz have a much stronger endurance to a scratch in the test than marble because of quartzes makeup. Another way to differentiate between the two would be to look at the mineral’s luster. The luster of a mineral is the way the light bounces off of its surface. There are different lusters that different minerals give off. There are two major types of lusters and they are Metallic or nonmetallic. A metallic luster is typically shiny while a nonmetallic luster can have many different types like musty or solid. Because quartz is a quartz it will be metallic because it is shiny while marble will be nonmetallic because it does not reflect light.

I hope this helps! :D

5. Mention factors that can effect surftice pleasure​

Answers

The 3 main factors that affect barometric (air) pressure are: Temperature Altitude or Elevation Moisture or water vapour

Answer:

Temperature.

Altitude or Elevation.

Moisture or water vapour.

n 9
What should you check to decide
a speed is safe for your boat?
A
operator's age and experience
B
wind and water conditions
С
vessel's capacity plate
D
speed of other vessels

Answers

Answer:

B

wind and water conditions

It is very important to check so as decide if a speed is safe for your boat Ed. What one should check to decide is the  vessel's capacity plate.

For one to have a safe operating speed, the operator must take some factors into account. This includes visibility,  traffic density; how one can maneuver the vessel etc.

There are some important safety information that is found on a boat's capacity plate and this pertains to the maximum weight and/ or number of people the boat can carry safely. With this one can know if a specific speed capacity is okay.

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Would you expect sediments found in the Cedar Creek alluvial fan to be texturally and compositionally mature, or texturally and compositionally immature

Answers

Answer:

I would expect the sediments found in the Cedar Creek alluvial fan to be textually and compositionally immature.

Explanation:

I would expect the sediments found in the Cedar Creek alluvial fan to be textually and compositionally immature because this type of sediment is more common than usual to be present in most alluvial fans. This is probably due to the lack of weathering in these regions, which ends up leaving the sediments little worked, since their structures and compositions are not influenced by weathering factors, with great impact.

I need an answer now ‍♀️​

Answers

Explanation:

1=d

2=c

3=b

4=e

5=a

6=h

7=f

hope this helps u

Paul is filling out the Natural Hazard Disclosure Statement. Which of the following conditions is Paul not required to report on this form? Lead-based paint was used in the home. The property is in an area that could flood. The home sits on an earthquake fault zone. The property is in a state fire responsibility area.

Answers

Answer:

The answer is lead-based paint was used in the home

Explanation:

how are hailstones formed it is a 10 mark question​

Answers

Answer:

formed by the culomnibus or the stratus clouds that when hails are formed it is due to the high altitude height that it freezes?

How are cultural diffusion and cultural appreciation the same

Answers

Answer:

same

Explanation:

The transfer of a cultural characteristic from one group to another is known as cultural diffusion. When members of one group take a specific aspect of another group's culture and use it in such a way that the meaning of that aspect is drastically altered, this is known as cultural appropriation. to sum it up Appreciating another culture necessitates a desire to learn more about it. You only share your knowledge with permission, and you always give credit to those who are part of that culture. Fair remuneration is also required for cultural appreciation. You buy directly from creators if you buy art, apparel, or other things.

Examples of Cultural Diffusion.

Common Cultural Diffusions.

Religious Cultural Diffusion.

Cultural Diffusion in Technology.

Economic Cultural Diffusion.

Which of the following city needs is a factor in determining the carrying capacity of a city's environment? A. schools and education centers available to city children B. government services provided to residents C. water resources available to meet city needs D. jobs available for city residents Please select the best answer from the choices provided. A B C D

Answers

Answer:

C

Explanation:

water links to environment, the others are irrelevant

Why do hurricane winds tend to diminish quickly when the system makes landfall, crossing from sea to land?

Answers

lack of moisture inland, lower heat sources

Which of the following is not a divergent plate boundary?​

Answers

A divergent boundary occurs when two tectonic plates move away from each other.

The answer is a divergent boundary

what the volume of a sphere with a diameter of 21.4 dm?​

Answers

Answer:

V ≈ 4577.204 cm^3

Explanation:

Use the volume formula V=4/3πr^3 to find the volume. Since you need the radius but are given the diameter, divide it by 2 to get half.

21.4/2 = 10.7

Now plug that into the formula and solve:

V=4/3πr^3

V=4/3π(10.7)^3

V= 4/3π(1,092.7272)

V=  4/3 * 3432.903

V= 4 * 3432.903/3

V = 13731.614/ 3

V ≈ 4577.204 cm^3 or whatever unit is stated.

Which processes bring about changes in the temperature and/or salinity of surface waters?

Answers

However, ocean currents also flow thousands of meters below the surface. These deep-ocean currents are driven by differences in the water's density, which is controlled by temperature (thermo) and salinity (haline). This process is known as thermohaline circulation.
However, ocean currents also flow thousands of meters below the surface. These deep-ocean currents are driven by differences in the water's density, which is controlled by temperature (thermo) and salinity (haline). This process is known as thermohaline circulation.

What is the contour interval for the topographic map shown below?

Answers

Answer:

Explanatio contour line is a line drawn on a topographic map to indicate ground elevation or depression. A contour interval is the vertical distance or difference in elevation between contour lines. Index contours are bold or thicker lines that appear at every fifth contour line.

on:

Which of the natural features results from the Interaction of tectonic plates ?

Amazon basin
El Niño
Mountains
Tropical Cyclones

Answers

Mountains because when two tectonic plates interact they create mountains

Which of the following statements about the interaction of Earth's systems is true?
A. The interaction between Earth's systems is limited to a response to human activity.
B. The Earth's system interact using positive feedback only.
C. The Earth's systems interact using negative feedback only.
D. All of the Earth's systems interact with each other.

Answers

All of the earth’s systems interact with each other

What type of fault is the Anatolia fault in Turkey?

Answers

Answer:

The North Anatolian Fault (NAF) (Turkish: Kuzey Anadolu Fay Hattı) is an active right-lateral strike-slip fault in northern Anatolia, and is the transform boundary between the Eurasian Plate and the Anatolian Plate

Using a pen, draw a line exactly along the contact (boundary) between the Vishnu Schist and the relatively horizontal sedimentary rocks above it. 2. What specific kind of unconformity did you trace above

Answers

Answer: Hello some parts of your question is missing attached below is the missing detail

answer :

1) attached below

2) Non-conformity

Explanation:

1) Line along the boundary between Vishnu schist and relatively horizontal sedimentary rocks

attached below

2) The type of unconformity traced above is called Non - Conformity

i.e. when a sedimentary rock lies above an igneous rock or a metamorphic rock it is called Non-conformity

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