the frequency of a wave in a stretched string depends on the length L, tension T and linear density m with dimension ML-1 . deduce the formula for f in terms of L , T and M using dimensional analysis​

Answers

Answer 1

Answer:

[tex]f = \frac{1 }{L}\sqrt{\frac{T}{m} }[/tex]

Explanation:

Let the frequency ,

[tex]f = L^{x}T^{y}m^{z}[/tex]

Now the unit of frequency is hertz = s⁻¹ = T⁻¹ where T is time, tension T = kgm/s² = MLT⁻¹ and linear density m = kg/m = ML⁻¹.

So,

[tex]T^{-1} = L^{x}[MLT^{-2} ]^{y}[ML^{-1} ]^{z}\\[/tex]

collecting the like bases, we have

[tex]T^{-1} = [L^{x + y -z}][M^{y + z} ][T^{-2y} ] \\L^{0} M^{0} T^{-1} = [L^{x + y -z}][M^{y + z} ][T^{-2y} ][/tex]

Equating powers on both sides, we have

x + y - z = 0  (1)

y + z = 0       (2)

-2y = -1         (3)

From (3), y = 1/2

From (2), z = -y = -1/2

Substituting y and z into (1), we have

x + y - z = 0

x + 1/2 - (-1/2) = 0

x + 1/2 + 1/2 = 0

x + 1 = 0

x = -1

So,

[tex]f = L^{x}T^{y}m^{z}\\f = L^{-1}T^{\frac{1}{2} }m^{\frac{-1}{2} }[/tex]

[tex]f = \frac{1 }{L}\sqrt{\frac{T}{m} }[/tex]


Related Questions

Archaeologists have discovered that some vikings deliberately carved grooves into their teeth. The reasons behind this dental decision remain unclear. Which choice most effectively combines the two sentences?.

Answers

The answer is teeth, but the reasons behind this dental decision remain unclear.

The Vikings were a group of explorers and seafaring pirates from Denmark, Sweden, and Norway, who visited the world from the 8th to 11th centuries.

Vikings modified their teeth in an unclear way, but archaeologists found the teeth in question among remains at Scandinavian burial sites in 2005 and England in 2009.

The teeth were deliberately grooved which might indicate victory against an opponent.

This question is multiple choice:

A teeth; the reasoning behind the decision to make this adjustment to their teeth is unclear.B teeth; consequently, the reasons behind this dental decision remain unclear.C teeth, but the reasons behind this dental decision remain unclear.D teeth; however, the reasons behind this dental decision remain unclear to archaeologists

The correct answer is A.

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how would the cylindrical shape of the palisade mesophyll?

Answers

It is not typical for a palisade mesophyll to have a cylindrical shape, as it is a type of plant tissue found in leaves and is typically arranged in layers. The cylindrical shape is not a characteristic that is commonly associated with the palisade mesophyll.

What is the formula to add cell value?

Answers

A quick and easy way to sum values in Excel is to use AutoSum. Simply select an empty cell immediately below a column of data. Then, on the Formula tab, click AutoSum > Sum.

AutoSum is a useful tool in Excel for performing basic mathematical operations such as addition, subtraction, multiplication and division. This tool is located in the Format tab and allows you to automate your calculations.

AutoSum allows you to quickly select a range of cells and calculate the addition, subtraction, average, multiplication or division of the values without having to type a formula. It also allows you to select a column or an entire row to calculate the total sum.

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MURDER IS HER HOBBY: FRANCES GLESSNER LEEBased on the observations that you made above, write a summary of the events that you believe revolved around this crime scene and led to the death of the victims portrayed

Answers

The crime scene in Frances Gessner Lee's "Murder is Her Hobby" depicts a gruesome double homicide in a rural farmhouse.

What is a homicide?

A homicide is the killing of one person by another. It can be either intentional or accidental. In some cases, homicide may be considered justifiable or excusable, such as in the case of self-defence.

Two victims, a husband and wife, are found dead in their bed, showing signs of blunt force trauma. The husband had also been shot in the back of the head.

When does a homicide become a murder?

Killing someone purposefully or as a punishment of committing some other significant crime is known as murder. Second degree murder normally has no ingredient of seditious tendency, but murder does.

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How many atoms are in 1 mole of H2O?

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The number of atoms in 1 mole of H₂O is 6.02 × 10²³ particles.

The number of atomic particles of an element or compound depends on the number of moles of that element or compound.

By definition, 1 mole of a substance has a total of 6.02 × 10²³ particles, where this number is called Avogadro's number.

In this case, the substance is water (H₂O). So that 1 mole has as many particles as:

Number of particles = 1 x 6.02 × 10²³

Number of particles = 16.02 × 10²³ particles

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What takes up a large part of the urchin body cavity?

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A large part of the urchin body cavity is takes up by a fluid called coelomic fluid.

This fluid is produced by the coelomic epithelium, which lines the coelom, and it contains various cells and dissolved substances, such as nutrients and waste products. The coelomic fluid is important for the circulation of nutrients and oxygen throughout the urchin's body, as well as for the removal of waste products. Additionally, it also provides support and buoyancy, and helps to protect the urchin's internal organs from mechanical damage. The coelomic fluid takes up a large part of the urchin's body cavity, filling most of the space within the urchin's test (shell) and surrounding the internal organs.

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Integral proteins are mostly involved in enzymatic function.
transport function. receptors. recognition sites.

Answers

Option 2 is Correct. In primary active transport, carrier proteins are used, but in secondary active transport, channel proteins are used.

In contrast to secondary active transport, which can move two substances at once, primary active transport can only move one chemical at a time. The two molecules moving in secondary active transport may do so in different directions or in the same direction (both into the cell) (i.e., one into and one out of the cell).

Membrane transport proteins can be divided into two groups: carriers and channels. Across the lipid bilayer, both create continuous protein routes. Solute flow through channel proteins is always passive, in contrast to the active or passive nature of transport by carriers.

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Correct Question:

Integral proteins are mostly involved in

1. enzymatic function.

2. transport function.

3. receptors.

4.recognition sites.

Help me please I need this soon

Answers

Before meiosis, the DNA in each chromosome is replicated. The process shown in the diagram is of chromosomes.

What is meiosis?

Meiosis is a type of cell division that occurs in sexually reproducing organisms and results in a reduction in the number of chromosomes in gametes.

The two identical copies of DNA that result from this replication are known as sister chromatids,' and they are brought together by a section of the chromosome known as the centromere.

Therefore, each chromosome's DNA is copied prior to meiosis.

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in dry areas Farmers often dig Wells to provide water for their crops how could using a well to pump large amounts of water out of the ground most likely impact the hydrologic cycle and the environment​


(also this may show up as high school But it's actually middle school it won't let me change it)

Answers

The local water table could be lowered, causing many plants to die. The hydrologic cycle could stop in the surrounding areas, causing a drought.

once water vapor has been released into the atmosphere it rises and cools turning back into a liquid what is process called

Answers

Answer:

it's called rain I hope this helps

Explain denaturation of a protein and include two factors that would cause a protein to denature within your response.

Answers

Answer:

If a protein loses its shape, it ceases to perform that function. The process that causes a protein to lose its shape is known as denaturation. Denaturation is usually caused by external stress on the protein, such as solvents, inorganic salts, exposure to acids or bases, and by heat.

How do ecologists define the term ecosystem? what makes up an ecosystem?

Answers

An ecosystem is a region where a bubble of life is created by plants, animals, and other species interacting with the weather, environment, and other factors,is defined by ecologists,

Ecosystems are made up of both biotic, or living, and abiotic, or nonliving, components. Plants, animals, and other species are biotic factors.An ecosystem's productivity, or how much is produced and how quickly it returns, as well as its biomass or the total weight of living things in the ecosystem can all be used to measure it. Of course, all these parameters matter to neighboring ecosystems as well because if one ecosystem is highly productive, the ones next door will benefit.

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What diversity refers to all the different genes contained within all members of a population.
answer choices
species
ecosystem
genetic
character

Answers

Answer:

genetic

Explanation:

everything person on earth has different genetics, its what makes our hair color/texture,eye color, skin color, personality, what we like and dont like,etc

genetics are one of the most diversed things

Bananas are curved why?

Answers

Answer: Negative geotropism

Explanation:

The reason why bananas are curved is due to a process called negative geotropism. So, initially bananas start by growing towards the ground, but will eventually start growing towards the sun. With that being said, you’ll often find that some bananas are completely straight. did it help

Answer: Negative geotropism

Explanation: The reason why bananas are curved is due to a process called negative geotropism. So, initially bananas start by growing towards the ground, but will eventually start growing towards the sun. With that being said, you’ll often find that some bananas are completely straight. This is because of an innovation known as bagging, whereby the fruit is covered in order to protect it from insects and animals.

Label the following diagram: (catalase, H2O2, H2O, O2) Then write a caption/description of what happens in each step!

Answers

During catabolism, the enzyme breaks bonds in large molecules composing smaller molecules as products. In the image, Catalase is the enzyme, H₂O₂ is the large molecule, and H₂O and O₂ are the smaller  product molecules.

What is catabolism?

In metabolic reactions mediated by enzymes, the substrates turn into products faster than they would naturally do.

Enzymes act as catalyzer molecules to accelerate natural reactions.

There are two main types of metabolic reactions mediated by enzymes,

AnabolismCatabolism

Catabolism is the process through which a large molecule is broken into simpler smaller molecules. The enzyme gets in contact with the substrate and breaks it apart into pieces.

Enzymes have specific active sites to which the substrate binds.

Once these large molecules join through these binding sites, they compose the enzyme-substrate complex.

The enzyme turns the substrate into smaller product molecules.

Finally, these smaller molecules are released into the environment.

In the image, we can see this sequence of events.

1) The large molecule is H₂O₂ that binds catalase by its active site.

2) Both of them together compose the H₂O₂-catalase complex (enzyme-substrate complex).

3) Catalaze breaks down H₂O₂ producing H₂O and O₂.

4) Finally, H₂O and O₂ are released from the enzyme binding site.

You will find the image in the attached files

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Termites have the unusual ability to eat wood.

Why are termites able to eat wood?

Responses


A. Microorganisms prepare the wood before termites eat it.


B. Microorganisms break down wood in the gut of a termite.

C. Termites are close relatives of trees and other plants.

D. Termites have strong mouthparts that can bite and chew wood.
Question 2.
Which statement best describes a healthy ecosystem?
Responses


A. Microorganisms are either absent or present in very small numbers.

B. New kinds of plants and animals arrive every year.

C. Plants and animals of many kinds are able to meet their needs.

D. One kind of animal grows in number every year.

The feathers of a parrot keep it dry and comfortable in the rainforest. However, the feathers do not protect a parrot from cold temperatures.

Could a parrot survive in a very cold environment, such as winter in a temperate forest?

Responses


A. No. The parrot could not live in the trees of a temperate forest.

B. Yes. The parrot would develop new adaptations to keep its body warm.


C. Yes. The parrot would grow thicker feathers.

D. No. The parrot could not meet its need for staying warm.
Question 3 Which statement best describes a healthy ecosystem?
Responses

A. Microorganisms are either absent or present in very small numbers.


B. New kinds of plants and animals arrive every year.

C. Plants and animals of many kinds are able to meet their needs.


D. One kind of animal grows in number every year.

Answers

Termites are able to eat wood because : B. Microorganisms break down wood in the gut of a termite. A healthy ecosystem: C. Plants and animals of many kinds are able to meet their needs. Parrot survive winter in a temperate forest C. Yes. The parrot would grow thicker feathers.

Why are termites able to eat wood?

Termites have protozoa and bacteria in their gut that allow them to break down the cellulose fibers in wood, which is difficult for other creatures to digest.

Parrots can survive in very cold environment, such as winter in a temperate forest.

Healthy ecosystem: provides abundant and beneficial services to its constituents, such as food, water, shelter, recreation, and natural beauty.

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The power that a student generates when walking at a steady pace of vwvw is the same as when the student is riding a bike at vb = 3vwvb = 3vw. The student is going to travel a distance dd. The energy the student uses when walking is ewew. The energy the student uses when biking is ebeb. The ratio ewebeweb is.

Answers

The ratio of energy the student uses when walking and biking is Ew/Eb = 3

Someone who is walking or running has kinetic energy in it. Kinetic energy is the energy possessed by an object because of its motion or the energy in moving objects.

Speed of walking = Vw

Speed of roading bike = Vb

Given Vb = 3Vw

The power used in both cases is the same to cover the distance.

So, Pw = Pb

Energy used while walking = Ew

Energy used while roading bike = Eb

Force while walking = Fw = Ew/d

Force while walking = Fb = Eb/d

So,

        Pw = Pb

EwVw/d = EbVb/d

  Ew/Eb = Vb/Vw

  Ew/Eb = 3Vw/Vb

  Ew/Eb = 3

Correct question writer:

The power that a student generates when walking at a steady pace of Vw is the same as when the student is riding a bike at Vb = 3Vw. The student is going to travel a distance d. The energy the student uses when walking is Ew. The energy the student uses when biking is Eb. The ratio Ew/Eb is.

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What do you call to a process released by animals which is carbon dioxide?

Answers

The process by which carbon dioxide is released by animals is called respiration.

Cellular respiration is another aspect of respiration. Carbon dioxide and water vapor are gases that all plants and animals release back into the atmosphere. For a cell to produce the energy it requires, it must breathe. Cellular respiration is the term for this process. By mixing glucose with oxygen from the air, organisms create energy during the process of respiration. Glucose and oxygen are converted into energy and carbon dioxide during cellular respiration. Therefore, during the process of cellular respiration, carbon dioxide is released into the atmosphere.

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Antimicrobials that inhibit the growth of microorganisms have the suffix:

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Antimicrobials that inhibit the growth of microorganisms have the suffix:

-static.

In general , all the antimicrobial agent are known as a natural or synthetic substance that kills or inhibits the growth of microorganisms such as bacteria, fungi and algae. Antimicrobials that inhibit the growth of microorganisms have the suffix: -static. On the other hand A suffix used to describe a killing action would be: -cidal.

Type of antimicrobial agents also known as penicillin, helps to  kill bacteria by destroying the bacterial cell wall. other agents also known as tetracycline, alter its ability of making bacterial cell walls that helps them to reproduce or make proteins or nutrients they need to survive.

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O Glencoe/McGraw-Hill, a divisie
Copyright
muscle is only found
4. Smooth muscle tissue is found in
5. Muscle cells are found
6. An example of
7. Skeletal muscles are connected to bones by.
8. Cardiac muscle is important because it continually contracts and relaxes
to-
9. Blood vessels have.
10. Muscle cells make up about
Human Body Systems
in the body.
muscle tissue is the triceps.
muscle tissue.
of your body mas:

Answers

Smooth muscle tissues are located in walls of hollow visceral organs (such as the liver, pancreas, and intestines).

What are the functions of smooth muscle tissues?

Smooth muscle cells are responsible for involuntary movements like regulation of blood flow through vital organs and movement of materials along digestive and urinary passageways.

Smooth muscle is a type of tissue found in the walls of hollow organs, such as the intestines, uterus and stomach. You can also find smooth muscle in the walls of passageways, including arteries and veins of de cardiovascular system.

Smooth muscle cells are spindle shaped, have a single, centrally located nucleus, and lack striations. They are called involuntary muscles. Cardiac muscle has branching fibers, one nucleus per cell, striations, and intercalated disks.

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Name two popular marine fishes and two marine fishes of high economic importance.

Answers

Bhetki, Mullets, Pearl spots and Prawns

A dna mutation changes the shape of the extracellulara. Trueb. False

Answers

b. False

DNA mutations occur in the genetic material of an organism, specifically in the DNA sequence. The shape of the extracellular portion of a protein is determined by the amino acid sequence of the protein, which is encoded by the DNA. A change in the DNA sequence can result in a change in the amino acid sequence and therefore the shape of the protein, but the mutation would be located in the DNA, not in the extracellular portion of the protein.

It's important to note that a change in the shape of extracellular portion of a protein, can have various effects on the protein activity, stability, and interactions with other molecules, but the change would occur after the protein is translated from the DNA, not in the DNA itself.

What are the differences in roles between cells in a unicellular organism and a multicellular organism?

Answers

The difference in the roles of cells in unicellular and multicellular organisms is that unicellular organisms are limited to the level of organelles, whereas in multicellular organisms the division of labor is at the level of cells, tissues, and organ systems.

What's a cell?

the cell is the smallest unit of an organism or living thing. The cell is the basic structural and functional unit of organisms, just like the atoms in a chemical structure. Cells can determine the durability of living things. Substances that makeup cells consist of organic and inorganic compounds.

There are differences between unicellular and multicellular organisms namely unicellular organisms are living things with a single cell, while multicellular organisms are living things that have many cells.

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What are the 5 main points of Darwin's theory?

Answers

Answer:

For Darwin himself these five theories were apparently much more a unity than they appear to a person who analyzes them with modern hindsight. The five theories were: (1) evolution as such, (2) common descent, (3) gradualism, (4) multiplication of species, and (5) natural selection.

Evolution, common descent, Gradualism,multiplication of species, And natural selection

The earth and the moon have both been hit by asteroids. They've been hit throughout history. There are few craters on the earth's surface. Weather, water, and plants work together to erase craters from the earth's surface.

Answers

Combine into one sentence. The earth and moon that were hit by asteroids throughout history, the craters on them were erased by weather, water and plants.

Asteroids are celestial bodies in the form of rock-like fragments with irregular shapes that move around the sun.

When the asteroid heads towards the earth, it will be eroded by the ozone layer, but if the size is very large, the asteroid will fall and hit the earth's surface. Some craters may form as a result of asteroids falling to earth, but they can be wiped from the earth's surface by weather, water and plants. So that the crater is almost invisible because it is similar to the rest of the earth's surface.

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On these chromosomes, which pair of genes would be most likely to be separated by crossing-over: a and b, or a and c? why?.

Answers

The crossing over to the chromosome would be taking place in the A and  C sections. Because the crossing of the chromones leаds to the division of the cells tаke plаce аt the prophаse which is the lining of the chromosomes closes together. This tаkes plаce аt then 2 ends.

What is the crossing over?

Chromosomаl crossover, or crossing over, is the exchаnge of genetic mаteriаl during sexuаl reproduction between two homologous chromosomes' non-sister chromаtids thаt results in recombinаnt chromosomes. It is one of the finаl phаses of genetic recombinаtion, which occurs in the pаchytene stаge of prophаse I of meiosis during а process cаlled synаpsis. Synаpsis begins before the synаptonemаl complex develops аnd is not completed until neаr the end of prophаse I. Crossover usuаlly occurs when mаtching regions on mаtching chromosomes breаk аnd then reconnect to the other chromosome.

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TOP PART ONLY!!

Please give the right predictions of whether it is a carbohydrate, a lip, protein, a sBrome, or none of these?

Answers

None of these is the answer.Carbs are indeed a kind of macronutrient that is present in a variety of foods and beverages.

How are weather predictions made?

Using data collected by satellites, weather stations, and even aircraft to disclose the atmosphere's current condition. Then, using their knowledge of atmospheric processes, meteorologists predict how the atmosphere will change, so altering the weather.

Class 9: How do we forecast the weather?

Weather is examined as a collection of many components, including low and high temperatures temperature, rains, wind speed, and more, utilizing various statistics and data from pertinent equipment. We can therefore predict the weather based on the information gathered by the meteorologists.

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New eafloor rock i continually being formed at mid-ocean ridge and old eafloor rock i continually removed at ocean trenche. If the rock on the continent i continually formed but not removed, how would the age of the oldet rock on the continent compare with the age of the oldet rock on the eafloor?

Answers

Mid-ocean ridges occur along divergent plate boundaries where new ocean floors form as the Earth's tectonic plates spread. As the plates separate, lava rises to the ocean floor, causing massive volcanic eruptions of basalt.

The definition of seafloor spreading is a geological process occurring at the boundary between two plates where molten material within the Earth is pushed up and the plates move apart.

At the boundaries of these branches, the molten material cools and solidifies, creating a new oceanic crust or seafloor. Mid-ocean ridges are constantly forming new submarine rocks, and rifts are eroding older submarine rocks. If continental rocks are constantly being formed but not removed, what is the age of the oldest rocks on the continent compared to the age of ancient rocks on Earth.

Mid-ocean ridges occur along divergent plate boundaries where new ocean floors form as the Earth's tectonic plates spread. When the plates separate, lava rises to the seafloor, causing huge volcanic eruptions of basalt. The definition of seafloor spreading is a geological process occurring at the boundary between two plates that pushes molten material within the Earth, causing the plates to move apart from each other. At these branch boundaries, molten material cools and solidifies, creating new oceanic crust or seafloor.

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explanation of the process of meiosis

Answers

Answer:

What is the process of meiosis explain?

Image result for Biology 53 seconds ago +5 pts explanation of the process of meiosis

Meiosis is a process where a single cell divides twice to produce four cells containing half the original amount of genetic information. These cells are our sex cells – sperm in males, eggs in females.

Explanation:

An infectious particle made only of protein is called a what?

Answers

An infectious particle made only of protein is called a C)prion. Prions are misfolded proteins which have the ability to transmit their misfolded shape into normal variants of the same protein. So,correct option is C.

Prions describe a few lethal and contagious neuro degenerative illnesses in people and numerous other animals. It isn't understood what makes an ordinary protein misfold, however the subsequent unusual three-layered structure presents irresistible properties by falling close by protein particles into a similar shape.

The word prion is gotten from the expression "proteinaceous irresistible particle". In contrast with any remaining referred to irresistible specialists like viroids, infections, microorganisms, growths, and parasites, all of which contain nucleic acids (DNA, RNA, or both), the conjectured job of a protein as an irresistible specialist remains conversely.

Hence,correct option is C.

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(Complete question) is:

An infectious particle made only of protein is called a what?

a)virus

b)lipid

c)prion

d)bacteria

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(5 points) Which Store?Write a function choose_store(store_list) that takes in one parameter, a list of Store objects. This function should not be inside of either class.choose_store should do the following:For each store, call the cheapest_outfit method on that objectIf the cheapest outfit for that store is incomplete (it doesnt have an item in all four categories), print out the name of the store followed by the string "Outfit Incomplete"If the cheapest outfit is complete (it does have an item in all four categories), print out the name of the store followed by the total price of the items in the cheapest outfit for that store. Round the total price to two decimal places to avoid floating point errors.Return the name of the store with the lowest total price for the cheapest outfit (out of the ones that have a complete outfit).You may assume that there will be at least one store in the list that has a complete outfit.Examples : italic text is printed, bold text is returned. You need to enter all of the lines in each example, in the order shown, for things to work correctly. Assume that you are running hw11.py from the same folder as all of the CSV files in hw11files.zip, which can be found on Canvas.>>> choose_store([Store('Wild Wild West', 'wild_wild_west.csv')])Wild Wild West: $122.11'Wild Wild West'>>> choose_store([Store('Sparkles', 'sparkles.csv'), Store('Platinum Disco', 'platinum_disco.csv'), Store('Mawwiage', 'mawwiage.csv')])Sparkles: $76.54Platinum Disco: Outfit IncompleteMawwiage: Outfit Incomplete'Sparkles'>>> choose_store([ Store('Blacksmith', 'blacksmith.csv'), Store('Professional Wear', 'professionalwear.csv'), Store('Goth City', 'gothcity.csv'), Store('Sparkles', 'sparkles.csv')])Blacksmith: $63.76Professional Wear: $62.83Goth City: Outfit IncompleteSparkles: $76.54'Professional Wear' if the monopoly is regulated by zero-profit pricing, what price will be set? a. $0.30 b. $0.35 c. $0.50 d. $0.20 Logan and Rita each open a savingsaccount with a deposit of $8,100. Logan's account pays 5% simpleinterest annually. Rita's account pays5% interest compounded annually. IfLogan and Rita make no deposits orwithdrawals over the next 4 years,what will be the difference in theiraccount balances?A $104. 05B $113. 22C $125. 60D $134. 89