A DNA sequence can be represented by a sequence of letters, where the "alphabet" has four letters: A (adenine), C (cytosine), T (thymine), and G (guanine). Suppose that such a sequence is generated randomly, where the letters are independent and the probabilities of A, C, T, and G are Pa, pc, рт, and pG, where these sum to 1.
(a) Determine the probability that a DNA sequence of length 4 takes on the value ACTG. Also determine the probability that a DNA sequence of length 4 takes on the value GTAC.
(b) Determine the probability that a DNA sequence of length 4 consists of all A's, C's, T's, or G's.
(c) Determine the probability that a DNA sequence of length 4 consists of four different letters, e.g., ACTG or GTAC, with no repeated letters among the four letters.
(d) How many different sequences of length 4 consist of exactly two different letters?

Answers

Answer 1

A DNA sequence can be represented by a sequence of letters (ATGC). Probability of all letters is 0.00390625, and is same for ATGC and GTAC. With no repeats, it comes out to be 0.009375. 6 sequences of length 4 consist of exactly two different letters.

If we assume that the probabilities for each letter (Pa, pC, pT, pG) are all equal to 0.25 (one-fourth), then we can calculate the probabilities as follows:

(a) Probability of ACTG: P(ACTG) = pA * pC * pT * pG = 0.25 * 0.25 * 0.25 * 0.25 = 0.00390625

Probability of GTAC: P(GTAC) = pG * pT * pA * pC = 0.25 * 0.25 * 0.25 * 0.25 = 0.00390625

(b) Probability of all A's: P(AAAA) = pA * pA * pA * pA = 0.25 * 0.25 * 0.25 * 0.25 = 0.00390625

Probability of all C's: P(CCCC) = pC * pC * pC * pC = 0.25 * 0.25 * 0.25 * 0.25 = 0.00390625

Probability of all T's: P(TTTT) = pT * pT * pT * pT = 0.25 * 0.25 * 0.25 * 0.25 = 0.00390625

Probability of all G's: P(GGGG) = pG * pG * pG * pG = 0.25 * 0.25 * 0.25 * 0.25 = 0.00390625

(c) Since each letter is different, the probability of a sequence consisting of four different letters would be the same as the probability of any specific permutation. There are 4! = 4 * 3 * 2 * 1 = 24 possible permutations. Therefore:

P(A. T, G, C) = 24 * pA * pC * pT * pG = 24 * 0.25 * 0.25 * 0.25 * 0.25 = 0.009375

(d) To determine the number of different sequences of length 4 that consist of exactly two different letters, we need to consider the possible combinations of choosing two letters out of the four available (A, C, T, G). This can be calculated using the binomial coefficient formula:

Number of sequences = C(4, 2) = 4! / (2! * (4 - 2)!) = 6

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Related Questions

Which greenhouse gas contributes most to the positive radiative forcing that
is increasing global surface temperatures?

Which greenhouse gas contributes most to the positive radiative forcing thatis increasing global surface

Answers

Answer:

c

Explanation:

Carbon Dioxide: Answer is C

The process by which living organisms use to help break down food molecules to release energy is

Answers

Answer:

respiration

Explanation:

what do u mean by this chromosones contain information of inheritance of character from parent to next genration in the form of dna

Answers

Answer:

Explanation:

DNA are the building blocks of chromosome. Think about a blueprint. Blueprint contain instructions of how to build something, the actual instructions are the drawing and those drawings are housed on the blue paper.

So if you connect that analogy to this, DNA is actually the code that tells your cell how to do, what to do and such, they are actual genetic codes with bases such as Adenine, Guanine, Cytosine, and Thymine arranged in a double helix pattern. The chromosomes are the structures that are a result of arrangement of billions and billions DNA bases, thus they are the structures that house DNA and gene (part of DNA that codes for stuff)

what do u mean by this chromosones contain information of inheritance of character from parent to next

what part of the brain is responsible for visual and auditory data processing ?

Answers

The primary visual cortex, also known as the calcarine cortex, is located in the occipital lobes and is responsible for processing visual information from the eyes.

This area of the brain receives input from the retina and processes this information to create a perception of visual stimuli, such as color, shape, and movement.

In addition to the primary visual cortex, there are several other areas of the brain that are involved in visual processing, including the secondary visual cortex, the parietal lobes, and the temporal lobes. The secondary visual cortex, also known as the extrastriate cortex, is responsible for processing more complex visual information, such as form and motion. The parietal lobes are responsible for spatial awareness and the integration of visual information with information from other senses, such as touch and proprioception. The temporal lobes are responsible for the recognition of objects and faces, as well as for the processing of visual memory.

Auditory processing, on the other hand, is mainly processed in the temporal lobes. The primary auditory cortex, also known as the transverse temporal gyrus, is located in the superior temporal gyrus of the temporal lobes and is responsible for processing auditory information from the ears. This area of the brain receives input from the cochlea and processes this information to create a perception of auditory stimuli, such as sound, pitch, and volume.

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(c) Describe the relationship between the concentration of glucose in the culture medium and the ATP concentration in the cells.


glucose O2 ATP

1. 5mM 0 0. 3

1. 5 mM 5 0. 65

1. 5 mM 10 0. 75

1. 5 mM 21 0. 85

25 mM 0 0. 4

25 mM 5 0. 7

25 mM 10 0. 8

25 mM

Answers

ATP (adenosine triphosphate) is a molecule that acts as a form of chemical energy in a living organism's cells. It is formed through the process of cellular respiration

when glucose is converted to ATP, and it plays a critical role in cellular metabolism. The relationship between glucose and ATP concentration can be described using the given table. The concentration of glucose in the culture medium is proportional to the concentration of ATP in the cells, and this proportion is different at varying glucose concentrations. At the lowest glucose concentration of 5mM, the ATP concentration is 0.3. However, when the glucose concentration is increased to 25mM, the ATP concentration reaches 0.4.

As the glucose concentration rises above 5 mM, there is a gradual increase in the ATP concentration, and this concentration increases at a faster rate as the glucose concentration approaches or exceeds 25 mM. Therefore, we can say that the concentration of glucose in the culture medium has a positive correlation with the ATP concentration in the cells, as shown in the table.More than 100 terms is not applicable for this question.

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What type of marine science work would be nearly impossible without the use of ROVs?

Answers

The type of marine science work which would be nearly impossible without the use of ROVs is exploration.

What is Exploration?

Exploration is referred to as the activity of finding oil , gas or other substances and it consists of different types of operations such as aerial surveys which are needed to ensure that the process is successful.

ROV on the other hand is known as remotely operated vehicle and it is used under water for various types of activities. This is because of its ability  to stay underwater much longer than a human diver or other machines available.

The use of this type of vehicle is however important because it stays underwater much longer than a human diver and increases the time which is needed for the success of the exploration activities by the trained professionals thereby making it the correct choice.

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Which material moves into a plant through an open stoma?
A. Oxygen
B. Carbon dioxide
C. Carbohydrates
D. Water vapor

Answers

Answer:

cardon dioxide

Explanation:

opens up to breath carbon dioxide. releases oxygen for humans to breath. it absorbs water from the roots.

Answer:

B my guy

Explanation:

Stoma control the flow of gases in and out of leaves. During the day, when air temperatures rise and carbon dioxide levels are normal or above normal, the stomata open, allowing carbon dioxide to enter and photosynthesis to take place.

identify the structure located between the superior and medial borders.

Answers

The structure located between the superior and medial borders is known as the parasternal lymph nodes. These lymph nodes are a group of nodes present on either side of the sternum.

They are an important part of the lymphatic system and play a significant role in the immune response. The parasternal lymph nodes are responsible for receiving lymphatic drainage from the breasts, thoracic wall, diaphragm, and pericardium. These lymph nodes drain into the bronchomediastinal lymph trunk and subsequently into the thoracic duct.

The lymph nodes filter lymph and help to remove pathogens and other harmful substances from the body. They contain immune cells such as lymphocytes and macrophages, which help to identify and attack foreign invaders that enter the body.

Thus, the parasternal lymph nodes are an important part of the immune system and play a vital role in protecting the body against disease.

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vì sao cơ thể tôi không hấp thụ được chất dinh dưỡng
cách khắc phục

Answers

Answer:

Your question is why doesn't the body absorbs water right?

Explanation:

We drink a lot of water but our body is still thirsty . It's because water plays an important role in day-to-day life. An average of  65 percent of the body is full of water.

I hope this will help u

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what is the living tissue that overlies the nail plate on the sides of the nail?a. lunula
b. cuticle
c. nail wall
d. perionychium

Answers

Option B, The living tissue that rests on top of the nail plate on the sides is called the cuticle.

Overlying the nail plate on the sides of the nail is the cuticle, a thin layer of living tissue.

It is composed of five to ten layers of dead keratin cells and is a thin layer of the epidermis. Infection-causing bacteria, fungi, and other organisms are kept at bay by the cuticle on the nail.

It adds another layer of defense and aids in keeping hydration in the nail plate. During manicures, pedicures, and other nail care procedures, the cuticle is often removed.

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What is a cell? Can you define it, please?

Answers

Answer:

La célula (del latín cellula, diminutivo de cella, ‘celda’)1​ es la unidad morfológica y funcional de todo ser vivo. De hecho, la célula es el elemento de menor tamaño que puede considerarse vivo.2​ De este modo, puede clasificarse a los organismos vivos según el número de células que posean: si solo tienen una, se les denomina unicelulares (como pueden ser los protozoos o las bacterias, organismos microscópicos); si poseen más, se les llama pluricelulares. En estos últimos el número de células es variable: de unos pocos cientos, como en algunos nematodos, a cientos de billones (1014), como en el caso del ser humano. Las células suelen poseer un tamaño de 10 µm y una masa de 1 ng, si bien existen células mucho mayores.

Célula animal

La teoría celular, propuesta en 1838 para los vegetales y en 1839 para los animales,3​ por Matthias Jakob Schleiden y Theodor Schwann, postula que todos los organismos están compuestos por células, y que todas las células derivan de otras precedentes. De este modo, todas las funciones vitales emanan de la maquinaria celular y de la interacción entre células adyacentes; además, la tenencia de la información genética, base de la herencia, en su ADN permite la transmisión de aquella de generación en generación.4​

Explanation:

Answer:

A cell is the smallest unit of life. Cells consist of cytoplasm enclosed within a membrane, which contains many biomolecules such as proteins and nucleic acids. There are probably up to 1000000000 cells in the human body and they are multiplying every minute. dead cells turn into hair, dust, dead skin. You can notice when it's dead because if you pinch a certain part of your body and it doesnt hurt, that part is dead.

A child is suffering from indigestion and was given a dose milk of magnesia explain why

Answers

Answer:

Magnesia is a base.

Explanation:

When you get indigestion its generally because of the over production of Hydrocloric acid in the stomach which is neutralized by consuming a basic compound like milk of magnesia.

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what is the difference between gross primary production (gpp), and net primary production (npp), in an ecosystem?

Answers

Gross primary production (GPP) is the overall rate at which a substance is produced, and net primary production (NPP) is the rate at which a substance accumulates beyond respiration. So NPP is his GPP minus his breath.

Gross primary production: The amount of chemical energy produced by plants and algae from light energy. Net primary production (NPP) is the total minus the energy lost through respiration by plants and algae. Gross primary productivity (GPP) also refers to the rate of the production of the organic matter during the photosynthesis. Net primary productivity: Net primary productivity (NPP) refers to the remainder of the gross production that remains after being used by the grower or plant in the respiratory process. Net primary production are equals gross primary production which minus the energy used by the primary producers for the respiration. Gross primary production is also the amount of the energy from the light converted to the chemical energy per unit of that time

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What is global warming?:​

Answers

\( \bigstar \underline{ \large{ \sf{ \pink{Global \: \: Warming}}}} : \)

▶ Global warming can cause sea levels to rise dramatically. In many places, coastal areas have already been flooded. Global warming could result in wide ranging effects on rainfall patterns, agriculture, forests, plants and animals. Majority of people living in regions which are threatened by global warming are in Asia. A recent climate change report gives us only a limited time to keep the greenhouse gases at the present level. Otherwise, the temperature may rise by more than 2 degrees Celsius by the end of the century, a level considered dangerous.

______________________________

Which of the following is NOT a constructive goal of peer review?

A- offering counter-arguments to compete for attention

B- maintaining high standards for quality

C- exchanging information for new areas of inquiry

D- addressing flaws in an argument with rebuttal

Answers

Experts in a field assess the work of their peers in a process known as peer review to make sure it adheres to a set of criteria for quality, accuracy, and relevance.

How does the scientific curriculum develop from third grade to tenth grade?

1 What are the primary subject areas in science that students in grades G3 through G10 should learn? From G3 to G10, students should focus on Matter, Force, Motion, Energy, Living Things and Their Environment, Earth and Space, and finally, Living Things and Their Environment.

What does a good education at a school mean?

In particular, quality education comprises matters like the development of adequate skills, gender parity, the supply of proper school infrastructure, equipment, educational materials and resources, scholarships, or teaching staff.

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In the expression 2(10x) + 15y, x represents the number of hours Nina works in a week at her first job and y represents the number of hours she works in a week at her second job. The expression shows how much money Nina has earned this week. Which statement is true?
Nina has worked a total of x – y hours so far this week.
Nina works 15 hours a week at her first job.
Nina makes 20x dollars at her first job each week.
Nina makes $10 per hour at her second job each week.

Answers

Answer:

C. Nina makes 20x dollars at her first job each week.

Explanation:

Our breathing can compensate for changes in acid or base in our body. If someone has too much acid (acidosis), their breathing would:

Answers

If someone has too much acid (acidosis), their breathing would become  faster and deeper.

What is Acidosis?

This is a situation when there's a lot of acid in the body fluid such as blood etc in organisms.

When this occurs, the breathing will become faster and deeper to increase the amount of carbon dioxide exhaled thereby raising the pH back to normal.

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Which of the following statements are ACCURATE regarding homeotic genes and homeotic proteins? Check all that apply.
-Homeotic genes encode transcription factors
-Homeotic proteins bind regulatory regions of genes important in development
-In animals, the order of homeotic genes on a chromosome correlates with their spatial order of expression in the embryo
-The homeodomain of a homeotic protein has an arrangement of alpha-helices that can bind DNA
-Homeotic genes from plants do not contain a homeobox sequence
-Homeotic genes found in mammals are homologous to homeotic genes found in Drosophila

Answers

The accurate statements regarding homeotic genes and homeotic proteins are:

Homeotic genes encode transcription factors.Homeotic proteins bind regulatory regions of genes important in development.In animals, the order of homeotic genes on a chromosome correlates with their spatial order of expression in the embryo.The homeodomain of a homeotic protein has an arrangement of alpha-helices that can bind DNA.Homeotic genes found in mammals are homologous to homeotic genes found in Drosophila.

Homeotic genes, also known as Hox genes, are a group of genes that play a fundamental role in the development of organisms. They are responsible for controlling the pattern formation and identity of body segments during embryonic development. Homeotic genes encode transcription factors, which are proteins that regulate the expression of other genes by binding to specific DNA sequences.

Homeotic proteins, also referred to as Hox proteins, are the protein products encoded by homeotic genes. These proteins contain a conserved DNA-binding domain known as the homeodomain. The homeodomain consists of a sequence of about 60 amino acids arranged in three alpha-helices. The homeodomain enables homeotic proteins to bind to specific DNA sequences in the regulatory regions of target genes. By binding to these regulatory regions, homeotic proteins can activate or repress the expression of their target genes, thereby controlling the development and differentiation of cells and tissues in specific body regions.

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Are all living things made of cells?

Answers

All living organisms are composed of cells, from just one (unicellular) to many trillions (multicellular).

Answer: Yes, All living organisms or things like animals or plants are made of cells.

Explanation:

Which of the following statements represents subjective data obtained from the patient regarding the skin?
a. Reddened area noted on the lateral aspect of right leg
b. No obvious lesions on upper extremities
C Denies color change on any area of the body
d. Facial skin appears dry and flaky

Answers

The statement that represents subjective data obtained from the patient regarding the skin is - Facial skin appears dry and flaky.

What is subjective data?

Subjective data is the patient's self-reported, unobservable symptoms, including feelings, emotions, and perceived problems. Pain, vertigo, nausea, dizziness, itching, anxiety, and depression are all examples of subjective data. These observations cannot be evaluated or measured by anyone other than the person experiencing them. Objective data, on the other hand, can be obtained by a physician or other healthcare professional and recorded or quantified through a variety of instruments or tests. Such data can include blood pressure, laboratory results, or physical exam findings.

What is the meaning of the statement Facial skin appearing dry and flaky?

This statement means that the patient is experiencing dryness and flakiness of the skin on their face. Since it is a self-reported symptom, it falls under subjective data. The other options are objective data since they are observable and quantifiable by a healthcare professional.For instance, the statement Reddened area noted on the lateral aspect of the right leg indicates an observable symptom that can be measured by a physician or other healthcare professional. No obvious lesions on upper extremities is also a measurable symptom.

And Denies color change on any area of the body is a self-reported symptom but is not related to any observable skin condition.

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A population of birds is blown by a storm to an island off the mainland.
The island has very few trees, and the bird population on the island
develops new nesting behaviors. Mainland birds nest in trees, island birds
nest on the ground. After a long period of time, the island birds are
reunited with the mainland birds, it is observed that the two populations
can no longer interbreed. This is an example of: *
Behavioral isolation
Geographical isolation
Nonrandom mating
All of these

Answers

I say that it is because of nonrandom mating because the genes have been changed down the line.

why is carbon dioxide carry in dissolved form in the blood that oxygen​

Answers

carbon dioxide is more soluble in water than oxygen and hence is mostly transported in the dissolved form in our blood. because carbon dioxide have more solubility than oxygen

Photosynthesis and cellular respiration both involve the use and release of gases. Which statement correctly identifies the role of gases in the two processes

Answers

Answer:

You have no options for me to choose from, but I'm going to make a wordy response anyway. The answer is stated below:

Explanation:

Cellular respiration uses carbon dioxide and releases oxygen, while photosynthesis uses oxygen and releases carbon dioxide.

Cellular respiration uses carbon dioxide and releases oxygen, while photosynthesis uses oxygen and releases carbon dioxide.

What is photosynthesis?

Photosynthesis uses carbon dioxide and releases oxygen and cellular respiration uses oxygen and release carbon dioxide.

Photosynthesis is the process in which green plants prepare their own food in the presence of sunlight and light energy is converted into chemical energy by the process of cellular respiration.

The process of photosynthesis takes place in green plants only due to presence of chlorophyll and materials such as sunlight, water, carbon dioxide is required for the process of photosynthesis.

The equation of photosynthesis is represented below:

6CO2+ 6H2O - C6H12O6 + 6O2

The process of food manufacturing in plant is done through photosynthesis and the plants are known as autotrophs as they are the producers.

In the process of photosynthesis the reactant have 6 carbon dioxide molecules and six water molecules, and light energy converted into chemical energy due to presence of chlorophyll.

Therefore, Cellular respiration uses carbon dioxide and releases oxygen, while photosynthesis uses oxygen and releases carbon dioxide.

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Q: What is the purpose of Mitosis? Why do cells need to divide?



(costs me 60 points)

Answers

Answer:

The goal of mitosis is to divide a cell to produce two cells, each of which is identical to the parent cell. The cell cycle is the process by which cells multiply, which is necessary for an organism to survive.

Explanation:

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Mr. Smith is colorblind. His wife, Mrs. Smith, has normal color vision, but her father was color blind. If they have eight children 4 boys and 4 girls, how many of the boys would you expect to be colorblind? Girls?
HELP

Answers

So I would proceed into making a Punnett square. Women only are carrier towards colorblindness so there would be a very slim chance of them being colorblind. While males would not be affected at all. This is because the mother passed her X chromosome to the son and she doesn’t have the colorblind gene. So in conclusion 4 girls will be carriers while the males will not have colorblindess.

If someone’s urine is very dark,explain what is happening in the blood and kidney .Use the terms concentration ,solute ,water and osmosis

Answers

When someone's urine is very dark, it typically indicates that their blood or kidney is experiencing a high concentration of solutes.

What are Solutes?

Solutes are substances that are dissolved in a solvent (usually a liquid) to create a solution. They can be either a solid, liquid, or gas, and can be composed of a single type of molecule or a combination of molecules. Examples of solutes include sugar, salt, and acids.

This can be caused by a variety of factors, including dehydration. When the body is dehydrated, it attempts to conserve water by reabsorbing it from the kidneys, which results in a higher concentration of solutes in the blood and urine. This can also occur if the body is unable to properly process and eliminate waste, leading to the accumulation of excess solutes in the kidneys and urine. Osmosis is the process by which the body balances the concentration of solutes in the blood and body fluids by exchanging water between the cells and the surrounding environment. If the concentration of solutes in the blood and urine is too high, osmosis causes the body to pull water from the cells, resulting in dehydration and dark urine.

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What is a control in a science experiment? Please help

Answers

Answer:

Hi There! :P

Explanation:

A controlled experiment is simply an experiment in which all factors are held constant except for one: the independent variable. A common type of controlled experiment compares a control group against an experimental group. All variables are identical between the two groups except for the factor being tested.

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which of the following statements about the thyroid gland is true? group of answer choices it manufactures three hormones. it is located anterior to the trachea and inferior to the larynx. the parathyroid glands are embedded within it.

Answers

The following statement about the thyroid gland is true: It is located anterior to the trachea and inferior to the larynx.

What is the thyroid gland?

The thyroid gland is a small, butterfly-shaped gland located in the neck below the Adam's apple. This gland produces hormones that are essential for the proper functioning of the body's metabolism. Hormones produced by the thyroid gland are responsible for regulating the body's metabolism, energy levels, body temperature, and growth.The thyroid gland is made up of two lobes that are connected by a narrow band of tissue known as the isthmus. This gland is located anterior to the trachea and inferior to the larynx. It also produces three hormones, namely triiodothyronine (T3), thyroxine (T4), and calcitonin.

The parathyroid glands are small, pea-sized glands located behind the thyroid gland. These glands are responsible for producing a hormone that helps regulate calcium levels in the body. The thyroid gland and parathyroid glands are both involved in regulating various aspects of the body's metabolism and are closely connected, but the parathyroid glands are not embedded within the thyroid gland.

Hence, the following statement about the thyroid gland is true: It is located anterior to the trachea and inferior to the larynx.

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True or False: Energy derived from biomass burning is an example
of a fossil fuel
Group of answer choices
True
False

Answers

False. Energy derived from biomass burning is not classified as a fossil fuel.

The energy from biomass burning is not fossil fuel. Ancient plants and animals that endured geological processes over millions of years become fossil fuels. Fuels like coal, oil, and natural gas are fossil.

Instead, biomass is organic substance like wood, agricultural leftovers, and other plant and animal debris. Biomass burnt for energy emits carbon dioxide into the atmosphere, whereas plants absorbed it during growth. Biomass burning is carbon-neutral over a shorter time frame than fossil fuels because the carbon emitted is nearly balanced by the carbon absorbed during biomass growth.

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what is an example of a cell that has more mitochondria?

Answers

Answer:

muscle cells

Explanation:

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