Potassium-40, which is presumed to have existed at the formation of the Earth, is used for dating minerals. If 3 5 of the original potassium-40 exists in a rock, how old is the rock

Answers

Answer 1

If 3/5 of the original potassium-40 remains in a rock, the estimated age of the rock is 537.59 million years.

Potassium-40 (K-40) undergoes radioactive decay, transforming into stable argon-40 (Ar-40) over time. The half-life of K-40 is approximately 1.25 billion years.

If 3/5 of the original K-40 remains in a rock, it means that 2/5 of the original K-40 has decayed into Ar-40.

Now,

\((\frac{2}{5}) = (\frac{1}{2} )^n\)

Where 'n' represents the number of half-lives that have passed.

To solve for 'n',  take the logarithm of both sides of the equation:

\(\rm log(\frac{2}{5}) = n \times log(\frac{1}{2})\)

Using logarithmic properties:

\(\rm n = \frac{log(\frac{2}{5} )}{log(\frac{1}{2})}\)

n = 0.4307

Since each half-life is approximately 1.25 billion years:

Age of the rock = 0.4307 × 1.25 billion years

Age of the rock = 537.59 million years

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Related Questions

Earthquakes that cause severe damage are likely to have what characteristics?

Answers

Answer:

A shallow focus.

Explanation:

What is shallow focus earthquake?

SHALLOW FOCUS earthquakes are commonly occurring “crustal” earthquakes, caused by faults and movements of the continental plates. These are earthquakes with their focus nearer the surface of the earth. Shallow focus earthquakes are usually of large spread, causing greater damage at the surface or the earth's crust.

which western europe countries are celts

Answers

Ireland, Scotland, Wales, Cornwall, the Isle of Man, and Brittany are the Celts of Western Europe countries.

Celtic tribes once ruled much of mainland Europe, stretching all the way east to modern-day Turkey. Invaders drove the Celts west over time, and today there are only six Celtic nations in the world, all of which are concentrated in western Europe, specifically parts of the United Kingdom, Ireland, and Brittany in France.

Some argue that Galicia, in northwestern Spain, is the seventh Celtic nation because its Celtic heritage can be seen today, but the six official nations are determined by the existence of a Celtic language that has survived into the modern era, and Galicia does not have one.

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Plan communication management process is performed at? a At repeated intervals of the project lifecycle b. The end of the project c The start of the project d The middie le of the pr e project

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In most cases, the Plan Communication Management procedure is carried out before the beginning of a project. Therefore, option (c) is correct.

The project manager and the stakeholders will determine the requirements, goals, and methods for maintaining open lines of communication throughout the project's duration as part of the planning phase.

The project team's ability to execute the project and involve all relevant stakeholders depends on their ability to develop and maintain clear and efficient communication channels from the outset.

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define the environmental quality incentives program?

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Answer:

The Environmental Quality Incentives Program (EQIP) is a United States government program designed to assist farmers in improving environmental quality, particularly water quality and soil conservation.

Explanation:

pls mark brainliest

how does the amount of silica in magma affect the viscosity of magma?

Answers

Answer:

The greater the amount of silica in magma, the more viscous the magma is. The magma thus solidifies quicker as well.

how do people get through school with out breaking down?

Answers

Answer:

1: Is this even a geography question?

2: This question has so many answers that no one in the word has time to answer. (If I am to make a rough estimate about how long it would take to provide every answer, I would say about a week without stopping for anything)

Explanation:

The median yearly salary of a retail salesperson with a bachelor's degree or higher is $14,300 less than twice that of a retail salesperson with just a high school diploma. combined, two salespeople with each of these educational attainments earn $79,900. find the median yearly salary of salespeople with each of these levels of education.

Answers

The median yearly salary of a retail salesperson with a bachelor's degree or higher and that of a retail salesperson with just a high school diploma can be represented by x and y, respectively.
The problem states that : twice the median salary of salespersons with just a high school diploma is 2ythe median yearly salary of a retail salesperson with a bachelor's degree or higher is\($14,300\) less than twice that of a retail salesperson with just a high school diploma.\(x = 2y - 14300\)

The combined median yearly salary of salespeople with each of these educational attainments is \($79,900.x + y = 79900\)

Substituting the value of x from the first equation into the second equation gives

\(:(2y - 14300) + y = 799003y - 14300 = 799003y = 94200y = $31,400\)

Substituting this value into the equation\(x = 2y - 14300 gives:x = 2($31,400) - 14300x = $19,500\)

Therefore, the median yearly salary of a retail salesperson with a bachelor's degree or higher is \($19,500\) while that of a retail salesperson with just a high school diploma is \($31,400.\)

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What is the value of x?

Enter your answer in the box.


A quadrilateral with interior angles. Angle F is equal to 95 degrees, angle G is equal to 92 degrees, angle H is equal to 96 degrees, and angle I is equal to 7x degrees.

Answers

Answer:Correct

Explanation:Correct

The mosaics in the rotunda of St. George in Thessaloniki depict ___________.
Christ as the Good Shepherd
standing saints
Moses and the Ten Commandments
Jonah and the Whale
Abraham and Isaac

Answers

The mosaics in the rotunda of St. George in Thessaloniki primarily depict Christ as the Good Shepherd and standing saints.

These intricate and beautiful artworks showcase the religious themes and imagery prevalent in Byzantine art.

The central mosaic in the dome of the rotunda depicts Christ as the Good Shepherd, a symbol of His caring and protective nature towards his followers. Surrounding this central figure, the mosaics feature standing saints, each identified by their names inscribed in Greek. These saints represent the community of believers and exemplify their devotion to Christianity. The mosaics in the rotunda of St. George highlight the religious significance of the space and serve as a visual representation of faith and spirituality.

Their preservation and artistry provide valuable insights into Byzantine culture and the history of Thessaloniki.

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Can Someone please help, the picture is below

Can Someone please help, the picture is below

Answers

Answer:

The last one

Explanation:

An absolute location is an exact place on Earth, often given in terms of latitude and longitude.

Can someone please answer this, I’ll give you brainliest and your earning 50 points.

Can someone please answer this, Ill give you brainliest and your earning 50 points.

Answers

Answer:

black hole ueueyebeucbrrhdufhennd

Mud cracks and ripple marks are common features of igneous rocks. T/F

Answers

False. Mud cracks and ripple marks are not common features of igneous rocks. Igneous rocks are formed from solidified magma or lava, which does not contain mud or water to create these features.

Mud cracks and ripple marks are typically found in sedimentary rocks, which are formed from the accumulation and compression of sedimentary materials like mud, sand, and clay. These features provide evidence of past environments where water was present, such as a shallow lake or riverbed. In contrast, igneous rocks often contain characteristic features such as crystals, vesicles (small cavities left by gas bubbles), and various types of fractures and fissures that result from cooling and solidification of molten rock.
False. Mud cracks and ripple marks are not common features of igneous rocks; instead, they are associated with sedimentary rocks.

Igneous rocks form when molten rock, known as magma or lava, cools and solidifies. They are characterized by features such as mineral composition, crystal size, and texture. Common examples of igneous rocks include granite, basalt, and pumice.

On the other hand, sedimentary rocks are formed from the accumulation, compaction, and cementation of mineral and organic particles over time. Mud cracks and ripple marks are features found on the surface of some sedimentary rocks, providing clues about the environment in which they formed. Mud cracks indicate that the sediment was exposed to alternating wet and dry conditions, while ripple marks suggest that the sediment was shaped by moving water or wind. Examples of sedimentary rocks include sandstone, shale, and limestone.

In summary, mud cracks and ripple marks are not features of igneous rocks but rather sedimentary rocks, indicating specific environmental conditions during their formation.

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Population density refers to _____.

where people shop
the number of people who live in a square mile or kilometer
explains why people in a region live where they do
settlement patterns

Answers

Answer:

The number of people who live in a square mile or kilometre

hope it helps

Answer:

★ Population density refers to the number of people who live in a square mile or kilometer.

Explanation:

Hope you have a great day :)

4 How many of the world's volcanoes
are under water?
a 10% b 20% 40%​

Answers

More than 70 percent of all volcanic eruptions occur underwater and scientists are in the dark when it comes to understanding underwater volcanoes because the eruptions are cloaked from view by thousands of feet of water.

Briefly explain how tectonic activity has shaped the North African landscape. Provide an example of a land formation that illustrates its effects.

Answers

Tectonic activity has played a significant role in shaping the landscape of North Africa.

The continent of Africa sits on the African Plate, which is slowly moving northwards and colliding with the Eurasian Plate. This collision has resulted in the formation of the Atlas Mountains, which run through Morocco, Algeria, and Tunisia.

The collision also caused the formation of the Mediterranean Sea, as the African Plate has been pushing upward and forming mountain ranges.
An example of a land formation that illustrates the effect of tectonic activity in North Africa is the Great Rift Valley.

This valley, which runs through several countries in East Africa, including Ethiopia and Kenya, was formed as a result of the separation of the African Plate into multiple plates, resulting in the formation of a rift valley.  

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find the probability that a point chosen at random on the segment satisfies the inequality

Answers

The probability that a point chosen at random on the segment satisfies the inequality is 50%.

How to find the probability ?

The number of points on the number line are 9 given as points from integers 1 to 9.

This means that the number of points that are either 5 or less than 5 can be found to be 5 in number.

The probability that a point is therefore x ≤ 5 would be:

= 5 / 9

= 50 %

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The full question is :

Find the probability that a point chosen at random on the segment satisfies the inequality : x ≤ 5

find the probability that a point chosen at random on the segment satisfies the inequality

What is similar about how the central American and the Caribbean land masses were created?

Answers

Land masses were created in Central America and the Caribbean by volcanoes that formed islands and mountains and coral reefs that were uplifted by tectonic collisions.

Central America and the Caribbean Islands' largest group was formed by volcanoes erupting from the ocean floor, while many other islands broke off from the North American continent millions of years ago. Several of the smaller land masses were formed as a result of coral growth visible through the ocean's surface.

Volcanic islands, also known as "oceanic islands," form when an oceanic volcanic erupts and deposits lava and ash. In most cases, this occurs after the volcano has erupted numerous times.

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If a geostationary satellite is seen over Texas at lunchtime, which state will it appear to be over at dusk?

Answers

Answer:

It Would be Texas be it says Stationary which means it Stays in the same place so 100% correct Promise

Explanation:

Scientists from many disciplines are involved in ____ change research, including geologists, ecologists, oceanographers, and climatologists.

Answers

Scientists from many disciplines are involved in climate change research, including geologists, ecologists, oceanographers, and climatologists.

These scientists contribute their expertise and knowledge from their respective fields to study various aspects of climate change, such as changes in Earth's geology, ecosystems, oceans, and climate systems.

By collaborating and integrating findings from multiple disciplines, scientists can better understand the complexities of climate change and its impacts on the planet.

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In the Southern colonies, what would girls commonly do?

Answers

Answer: On Southern plantations, girls performed many of the same administrative tasks as boys, including copying letters and overseeing the plantation business when necessary.

Explanation:

What observations can be made about a rock at the hand-specimen scale, if the components of a rock are visible in a hand specimen?

Answers

When igneous rocks cool and solidify below the surface, they are referred to as intrusive rocks. Because they are invasive in nature, plutons are frequently referred to as such. An igneous intrusive rock mass that has cooled in the crust is referred to as a pluton.

Magma cools slowly as it travels through the Earth. Intrusive igneous rocks feature crystals that are visible because slow cooling gave time for massive crystals to develop. Granite is the most widely accepted kind of intrusive igneous rock. Four directly visible minerals—feldspar (white), quartz (translucent), hornblende (black), and biotite—combine to form granite (black, platy).

Phaneritic textures are typical of intrusive igneous rocks, which progressively crystallized below the surface of the Earth. The minerals have the time to develop and form sizable crystals while the lava cools gradually.  A phaneritic igneous rock has minerals that are big enough to allow the  eye to view each crystal. The igneous rocks gabbro, diorite, and granite are instances of phaneritic rocks.

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What park and mountain preserve is south of Phoenix and west of chandler? Plzz help

Answers

Answer:

''South Mountain Park and Preserve'' is located south of Phoenix and west of Chandler.

Explanation:

South Mountain Park and Preserve is a municipal park, in fact, it is one of the largest parks of this type in the United States. This park is located just south of Phoenix and just west of Chandler, thus being situated in between large urban areas. Despite being surrounded by urban areas, this park has been well preserved and kept in good shape, while also being made suitable for numerous activities.

This park is very attractive, not just for the locals, but also in the region, as it offers a lot. The lovers of nature often visit the park as it is a very beautiful one, but it also offers very beautiful views. The people that are into extreme sports, such as mountain biking and mountain cycling have a lot of excellent trails. Because of the excellent organization and tracks, the hikers and joggers are a common sight.

Answer:

'South Mountain Park and Preserve'' is located south of Phoenix and west of Chandler.

Explanation:

the body of water circled on the map above is called the______.

A. strait of Hormuz

B. Suez canal

C. Panama Canal

D. Tigris river​

the body of water circled on the map above is called the______.A. strait of HormuzB. Suez canalC. Panama

Answers

Answer:

A) strait of Hormuz ......

Describe what would result if two continental plates collide.

Answers

Answer:

the older one will be slide under the younger one

Suppose the moon rotated on its axis just as quickly as earth. Would we still always see the same side of the moon from earth?

Answers

If the Earth began turning twice as quickly, our lives would undoubtedly change significantly.Our body would have to adjust to a completely different sleeping schedule because our days would be cut in half.The animals would also need to change their way of life.

What would happen if the moon rotates on its axis just as quickly as Earth?

Due to the moon's shorter orbital period, we won't see the same side of the moon as it rotates faster.We won't view the same side of the moon, no.The presented issue is based on the moon's orbital period or period of revolution.The length of time it takes the moon to make one orbit around the Earth is known as the moon's orbital period.The lunar orbital period with regard to the Earth is typically 28 days.Additionally, the Earth's orbit around the Sun lasts 365 days.Here, R is the moon's circumference and v is its speed the moon is circling the planet.It is obvious that when the moon's orbital velocity (v) increases, its orbital period shortens, allowing Earth to observe the moon's new phases. We can therefore draw the conclusion that as the moon's rotation speed increases, its orbital period shortens, allowing Earthlings to witness the moon's various phases. A more modest push would cause it to enter an elliptical orbit. Every 27.3 days, the Moon spins on its axis and completes one orbit around the planet.This indicates that even though the Moon rotates, one of its faces is always pointed in our direction.This phenomenon, called "synchronous rotation," explains why humans can never see the far side of the Moon from Earth.  

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explain how a seismic tsunami forms, what is required? what are characteristics of the wave in the open ocean and how does that change (in terms of speed and height) as it approached the shore .

Answers

A seismic tsunami is formed by the sudden movement of the Earth's crust, which triggers a series of large ocean waves. This movement can be caused by several different events, such as earthquakes, volcanic eruptions, or landslides.

The energy from these events is transferred to the water and causes the water to move, creating a tsunami.In order for a seismic tsunami to form, three main things are required:1. A disturbance in the Earth's crust2. The disturbance must be large enough to transfer energy to the water3.

The water must be deep enough to allow for the creation of large waves.The characteristics of a tsunami wave in the open ocean are that it has a very long wavelength and a relatively small wave height. This means that in the open ocean, the wave may not be easily seen or felt by ships or other vessels.

However, as the wave approaches the shore, its speed slows down due to the decrease in water depth, and the wave height increases.In terms of speed, the wave travels very quickly in the open ocean, often reaching speeds of over 500 miles per hour. As it approaches the shore, the wave slows down significantly due to the decrease in water depth. This decrease in speed can cause the wave height to increase dramatically, resulting in a much larger and more destructive wave.

As the wave approaches the shore, it begins to "feel" the bottom of the ocean, and the wave's shape becomes compressed. This causes the wave height to increase, sometimes to several meters or more. The wave then crashes onto the shore, causing widespread damage and destruction.Content loaded:

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Which of these is the BEST example of a pull factor?
a) a famine
b) a mild climate
c) discrimination
d) a lack of jobs
e) excellent restaurants

Answers

Answer:

i think it is d, not sure sweetheart, have a good day

Answer:

I would have to say e or b

Explanation:

A famine is a lack of food which isn’t good

Descrimination is not good

A lack of jobs is bad if you are looking for a job

4. The circumference of (distance around) a circle is n times the diameter, or C = nd.
A side of the square is the diameter of each half circle.
In your answer to question 1, you gave the number of complete circles included in
the track. Use this answer and C= rd to find the approximate length of the circular
part of the track to the nearest tenth of a foot. Use 3.14 for π and show your work. (2
points)

Answers

The circumference of a circle is = πd.

A circle is a closed two-dimensional determine in which the set of all of the factors in the plane is equidistant from a given factor known as the center. every line that passes through the circle forms the road of mirrored image symmetry. additionally, it has rotational symmetry around the center for every attitude.

The circumference is the perimeter of a circle or ellipse. this is, the circumference would be the arc period of the circle, as though it had been unfolded and straightened out to a line phase. greater commonly, the fringe is the curve length around any closed determine.

Let the diameter of a circle is = d

the radius of a circle = d/2

Circumference of a circle is = 2πr

                                              = 2πd/2

comparing with the given relation,

     C = nd.         where C = circumference of a circle

     C = πd

here n = π

hence, the circumference of a circle is = πd.

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part a the amount of gravitational potential energy released as an object falls depends on the amount of gravitational potential energy released as an object falls depends on only its mass and the acceleration of gravity. only the acceleration of gravity. its mass and its speed at the time it begins falling. its mass, the distance it falls, and the acceleration of gravity. its mass and its speed when it hits the ground.

Answers

The amount of gravitational potential energy released as an object falls depends on its mass, the distance it falls, and the acceleration of gravity.

Gravitational potential energy is the energy an object possesses due to its position relative to the ground. As an object falls, it loses potential energy and gains kinetic energy due to its motion. The potential energy that is converted into kinetic energy is dependent on the mass of the object and the acceleration of gravity. Additionally, the distance the object falls also plays a role in the amount of potential energy that is released. Therefore, the correct option is "its mass, the distance it falls, and the acceleration of gravity."

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which natural hazard occurs more often at active plate boundaries?

Answers

Answer:

The most often occurrence is volcanos.

Two types of plates, convergent and divergent can create an active volcano site.

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In an experiment with a simple pendulum, measurements of the period T of the pendulum are made for different values of its length L. When plotted on a graph, which of the following should result in a straight-line fit of the data? A) Root T versus L B) T versus L C) T versus^ L2 D) T^2 versus L E) T^2 versus L^2 a boat in the trough of a wave takes 3 s to reach the highest point of the wave. the velocity of the wave is 5 m/s. what is its wavelength? An open-market purchase of government bonds accompanied by a decrease in income taxes will result in which of the following in the short run?A decrease in real outputA decrease in the price levelA decrease in nominal wagesA decrease in unemployment microloans are small short-term loans given to people living in poverty that enables them to engage in entrepreneurship. True or False Which of these was a result of the growth of trade and cities in the middle ages?a. The decline of the middle classb. Increased dependence on the land and relationship to a lordc. People acquiring rights and from local lordsd. Improved sanitation and living conditions will give brainly!!!!!!!!!!!!!!!!!!! the song dynasty ruled china from 960 to 1276. during that time, chinese shipbuilding and navigation techniques were developed. these innovations allowed enormous chinese fleets to sail the oceans as far away as africa. how did these developments affect global trade during this time period? Suppose the Universe is 14 billion years old. If we observe a galaxy 10 billion light years away, how old was the Universe at the time the light we see left that galaxy = y = 3x - 4? help me pls A basketball team plays 80 80 games each year. How many games will the team play in 15 15 years? often appear as change in skin, such as a growth, irritation, or sore that does not heal or as a change in a wart or mole for a bank, the difference between the interest rate charged to borrowers and the interest rate paid on liabilities is called the . imagine your self as a Rahim Khan from the book the kite runner ,if someone asked you what is love? what would you say. This kind of artwork shows as closely as possible to real life? 3) when a piece of chromosome breaks off and reattaches at another site on the same or another chromosome, this is called assume that you are a young pr professional just out of college. you have an independent personality and are eager to try out your skills on your own. which career avenue is likely to be best? In an acid-base neutralization reaction 23.74 mL of 0.400 M sodium hydroxide reacts with 50.00 mL of sulfuric acid solution. What is the concentration of the H2SO4 solution assume luciana had never obtained a patent for any of her products or formulas. luciana does not want other companies using them, however. when luciana starts her company, she creates an employee handbook which states that all processes, formulas, and products encountered while employed with the company shall remain confidential. if an employee leaves the company to take a job with a competitor and discloses to the competitor the ideas luciana cosmetics has for an upcoming product release, is the employee liable for misappropriating a trade secret? ONE WOMAN'S WAR EFFORTS DURING WORLD WAR II the contemporary face of languages may change due to cultural forces. Explain possible fates of at least four languages, using correct terminology and the processes that would need to occur for the languages to change as described. Your response should be a paragraph in length.