Vitamin ____ is necessary for vision, bone growth and maintenance of epithelial cells.

Answers

Answer 1

Vitamin A is necessary for vision, bone growth, and maintenance of epithelial cells.

We can define vitamins as micronutrients that perform various important functions in the body. Vitamins cannot be synthesized by the body of a person and hence are derived from the diet of a person.

Vitamin A is present in many foods and it is a fat-soluble vitamin. Vitamin A helps the body in various functions such as improving vision, helping the immune system, growth of bones, maintenance of cells etc.

Certain foods contain carotenoids in them. A person's body has the ability to convert these carotenoids into Vitamin A which is then used by the body for various functions. Some preformed sources of Vitamin A include dairy products and eggs.

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Related Questions

1. What is a DFA configuration? Give me an example.

2. what is the difference between a NFA and a DFA?

Answers

Answer:

1)

In the context of automata theory, a DFA (Deterministic Finite Automaton) configuration refers to the state of the DFA along with the current input symbol being processed. It represents the instantaneous snapshot of the DFA during its computation.

A DFA configuration consists of two components:

Current State: It represents the state in which the DFA is currently located. In a DFA, the state is an essential part of its definition and determines the behaviour of the automaton.

Remaining Input: It represents the portion of the input yet to be processed by the DFA. As the DFA reads input symbols one by one, the remaining input is reduced until it is completely consumed.

Let's consider a simple example of a DFA that recognizes the language of all binary strings ending with '01'. The DFA has two states: State A and State B. Here's an example of a DFA configuration:

Current State: State B

Remaining Input: 1101

In this example, the DFA is in State B, and the remaining input is '1101'. It indicates that the DFA has already read the input '11' and is currently processing the symbol '0'. Based on the transition rules of the DFA, it will move to another state or remain in the same state, depending on the current state and input symbol.

2)

A DFA (Deterministic Finite Automaton) and an NFA (Nondeterministic Finite Automaton) are both types of finite automata used in automata theory. The main difference between them lies in their behaviour and the nature of transitions between states.

Determinism vs. Nondeterminism:

DFA: A DFA is deterministic, meaning that for any given state and input symbol, there is a unique transition to the next state. It follows a single, well-defined path for each input symbol.

NFA: An NFA is nondeterministic, meaning that for a given state and input symbol, there can be multiple possible transitions leading to different states. It can have several possible paths for each input symbol.

Transition Function:

DFA: In a DFA, the transition function is defined as a mapping from each state and input symbol to a unique next state. It is a total function, ensuring that every state and input symbol has a defined transition.

NFA: In an NFA, the transition function is defined as a mapping from each state and input symbol to a set of possible next states. It allows multiple transitions from the same state with the same input symbol or even transitions with the empty string (ε).

Acceptance of Input:

DFA: In a DFA, acceptance of an input string occurs if, after reading the entire input, the DFA is in an accepting state (a designated final state). If the DFA ends in a non-accepting state, the input is rejected.

NFA: In an NFA, acceptance of an input string can be more flexible. It can accept an input string if there exists at least one possible path through the NFA that leads to an accepting state. It is not necessary for all possible paths to lead to an accepting state.

Memory:

DFA: A DFA has no memory of the input it has previously read. It only considers the current input symbol and the current state to determine the next state.

NFA: An NFA can have memory by using ε-transitions, which allow it to transition to a new state without consuming any input symbol. It can make decisions based on its current state and the remaining input without reading additional input symbols.

Overall, DFAs are simpler and easier to analyze due to their deterministic nature, while NFAs offer more expressive power with their nondeterministic behaviour and ε-transitions. However, it's important to note that both DFA and NFA are equivalent in terms of the languages they can recognize, meaning that for any language recognized by an NFA, there exists an equivalent DFA and vice versa.

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Scientists find cell with a genetic mutation in the cyclin dependant kinase gene. The mutation leads to a misshapen CDK molecule that will not bind to cyclin molecules. How would this impact the cell cycle of that cell

Answers

Answer:

The mutation leads to a misshapen CDK molecule that will not bind to cyclin molecules. How will this impact the resulting daughter cell? Explain. If cyclin molecules did not bind to CDK, the cell could not progress through the cell cycle.

Explanation:

I could be wrong...if I am I'm very sorry

structures in organisms that used oxygen well were

Answers

Organisms possess specialized structures for efficient oxygen utilization. Gills in aquatic organisms, lungs in terrestrial vertebrates, and tracheal systems in insects enable oxygen exchange. Birds have lungs and air sacs for efficient respiration. Hemoglobin in red blood cells transports oxygen. These adaptations optimize oxygen utilization for survival.

Structures in organisms that are well-adapted for efficient oxygen utilization include:

Gills: Gills are respiratory organs found in aquatic organisms such as fish. They have a large surface area and are composed of thin filaments or plates with numerous blood vessels. Gills allow for efficient extraction of oxygen from water by facilitating the exchange of gases.Lungs: Lungs are respiratory organs found in terrestrial vertebrates, including mammals, birds, and reptiles. Lungs consist of a complex network of bronchial tubes and millions of tiny air sacs called alveoli. The large surface area and the thin walls of the alveoli facilitate the exchange of oxygen and carbon dioxide between the air and the bloodstream.Tracheal System: Insects have a network of tubes called tracheae that deliver oxygen directly to cells. The tracheal system enables efficient oxygen transport throughout the body, allowing insects to have a high metabolic rate and perform activities such as flying.Spiracles: Spiracles are small openings found on the surface of some insects. They allow for the exchange of gases between the external environment and the tracheal system. By opening and closing the spiracles, insects can control the flow of air and regulate oxygen uptake.Lungs and Air Sacs (in birds): Birds have a unique respiratory system that includes both lungs and air sacs. Air sacs act as bellows, ensuring a unidirectional flow of air through the lungs, allowing for efficient oxygen uptake and carbon dioxide removal. This adaptation is particularly important for the high metabolic demands of flying.Hemoglobin: Hemoglobin is a protein found in red blood cells that binds to oxygen molecules. Its structure enables efficient oxygen transport in the bloodstream, ensuring oxygen is effectively delivered to tissues throughout the body.

These structures and adaptations are examples of how organisms have evolved to maximize their oxygen utilization, allowing them to thrive in their respective environments.

You find a small, elongated animal embedded in the sand with one end sticking out. Among other things, it has segmental musculature, a coelom, a notochord, and a complete digestive tract with an anus located partway down the body. This animal is a chordate. a larval echinoderm. either a larval echinoderm or a chordate. an annelid.

Answers

This animal with segmental musculature, a coelom, a notochord, and a complete digestive tract is a Chordate.

A is the correct answer.

Animals that have a notochord belong to the phylum (category) called Chordata. Vertebrates are included in the group, along with a few closely related invertebrates. just in case you're unfamiliar with the term. Notochord. Chordates get their name from a cartilage-based flexible skeletal rod.

The majority of the species that make up the phylum Chordata, or class of backboned animals, are vertebrates (subphylum Vertebrata). Vertebrate chordates include creatures including fish, amphibians, reptiles, birds, and mammals. One species of mammal that falls under the chordate category is the contemporary human.

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The complete question is:

You find a small, elongated animal embedded in the sand with one end sticking out. Among other things, it has segmental musculature, a coelom, a notochord, and a complete digestive tract with an anus located partway down the body. This animal is:

A. a chordate.

B. a larval echinoderm.

C. either a larval echinoderm or a chordate.

D. an annelid.

4. There have been many attempts over time to explain the mechanism behind the evolution of living
organisms. Two of the better known theorists include Charles Darwin and Jean Baptist Lamarck. How would
Lamarck's explanation of the evolution of long necked giraffes differ from Darwin's explanation?
A. According to Lamarck, giraffes evolved due to environmental pressures; those giraffes with better
traits would pass on traits to offspring, and according to Darwin, inherited traits were passed to
offspring.
B. Since they both believed in the same mechanism for evolution, both would agree that long necked
giraffes evolved because the more giraffes stretched their necks, the better fit for the environment,
and this trait was passed down to offspring.
C. According to Lamarck, long necked giraffes evolved because they spent the majority of their time
stretching their necks and this trait was passed down to offspring; according to Darwin, giraffes with
longer necks had the advantage in the environment and survived, reproduced, and passed this trait on
to offspring.
D. According to Darwin, long necked giraffes evolved because they spent the majority of their time
stretching their necks and this trait was passed down to offspring; according to Lamarck, giraffes with
longer necks had the advantage in the environment and survived, reproduced, and passed this trait on
to offspring.

Answers

C) According to Lamarck, long necked giraffes evolved because they spent the majority of their time stretching their necks and this trait was passed down to offspring; according to Darwin, Giraffes with long necks had the advantage in the environment and survived, reproduced, and passed this trait on to offspring.

FILL THE BLANK.
"The amount of gases that can dissolve in seawater depends on
temperature and ____________________.
Group of answer choices
nutrients
depth
currents
salinity"

Answers

"The amount of gases that can dissolve in seawater depends on temperature and salinity." The quantity of dissolved salts in saltwater is known as salinity. It is one of the main elements affecting how soluble gases are in salt water.

The idea of colligative qualities can be used to explain the connection between salinity and gas solubility. The osmotic pressure produced by salts in saltwater, such as sodium chloride, has an impact on the solubility of gases.

Osmotic pressure rises in tandem with rising saltwater salinity. Gases are less soluble in water as a result of the higher osmotic pressure. Because of this, saltwater with a greater salinity has a lesser ability than seawater with a lower salinity to dissolve gases.

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1.

Body temperature regulation is a problem in premature

infants because the (1) is not yet fully functional. Cerebral

palsy involves crippling neuromuscular problems. It usually is

a result of a lack of (2)_ to the infant's brain during deliv-

ery. Normal maturation of the nervous system occurs in a

(3) _direction, and fine control occurs much later than (4)

muscle control. The sympathetic nervous system becomes less

efficient as aging occurs, resulting in an inability to prevent

sudden changes in (5) when abrupt changes in position

are made. The usual cause of decreasing efficiency of the ner-

vous system as a whole is A change in intellect due to

a gradual decrease in oxygen delivery to brain cells is called

(7) Death of brain neurons, which results from a sudden

cessation of oxygen delivery. is called a (8)

Answers

Which two numbers below have a 6 that is 10 times larger than the 6 in 49,568

What is one part of all seeds?

A. Little wings
B. Flowers
C. Fruits
D. A little food

Answers

Answer:

i think the answer would be D. A little food

The Drongo bird steals food from meerkats by tricking them This is an example of

Answers

Answer:

There warning calls of other animals to scare them away from food.

Explanation:

Honest sentry to deceptive thief.

Why do cells need to make a copy of DNA before division?

Answers

Answer:

So that the end products (new cells made from the division) will both have DNA to run all its processes to reproduce.

which of the following is an accurate description of what science is.

Answers

How are people supposed to answer this

What are the next four numbers in the pattern below ? 3,9,7,13,11,17,15,

Answers

Answer:

21,19,25,23

Explanation:

You are adding 6 to get the next number, than subtract 2 from the the number

You are standing by a cliff far away from the ocean. You see a sedimentary layer
with shells in it. You are told the shells are from oceanic organisms. How do you
think this layer formed?

Best answer gets brainliest!

Answers

Answer:

oldest layer on the bottom and newest on the top

Explanation:

What is the difference between an asthma cause and a trigger?

Answers

Answer:

Causes refer to the underlying factors and reasons that lead to asthma. Triggers mean the conditions that aggravate or usher in an asthma attack. Knowledge of both causes and triggers will help you manage your asthma.

I hope this helps.

which controls the production of proteins in a cell

Answers

ribosomes creat proteins in cells

How do you think the structure of the cell membrane allows for some materials to move into the cell while other materials are kept out?.

Answers

The cell membrane is an essential structure that separates the interior of a cell from the external environment. It is the first point of contact between the outside world and the interior of a cell. The cell membrane's primary function is to control the movement of materials in and out of the cell. It is a selectively permeable membrane that allows only certain materials to pass through while preventing others from crossing.
The cell membrane's structure comprises two lipid layers that form a bilayer. The lipid molecules contain a polar head and a nonpolar tail. The polar head of the lipid molecules is hydrophilic, which means it attracts water, while the nonpolar tail is hydrophobic, meaning it repels water. This structure provides a barrier that regulates the movement of materials in and out of the cell.The cell membrane also has several membrane proteins embedded in it, such as channels, transporters, and receptors. These proteins regulate the movement of materials in and out of the cell. For example, channels are specific proteins that allow certain ions to pass through, while transporters help transport molecules across the membrane.Some materials can pass through the cell membrane without assistance because they are small, nonpolar, and hydrophobic. These materials include oxygen and carbon dioxide. On the other hand, larger, polar, and hydrophilic molecules like glucose cannot pass through the membrane without assistance. Therefore, they require specialized transport proteins to move across the membrane.In conclusion, the structure of the cell membrane allows for selective permeability and control of the movement of materials in and out of the cell. The hydrophobic core of the membrane's bilayer and membrane proteins work together to regulate the movement of materials across the membrane. This selective permeability ensures that the cell can maintain an appropriate environment for its functions.

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Select the reasons that farmers typically only specialize in one breed.

lack of training

homogeneous housing

business efficiency

time demands

standardized food supplies

personal preference

familiarity with the breed

Answers

Answer: business efficiency personal preference

familiarity with the breed

Explanation:

i think so...

Does silver or aluminum have a higher resistance?

explain, please put it into your own words

Answers

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The higher the % IACS, the more conductive the material is. This standard refers to a pure, "standard" copper having a resistivity of 1.7241 microhm-cm at 20°C (68°F).

9 : a population of insects increases at the rate of 200 10t 13t2200 10t 13t2 what is the change in the population of insects between day 0 and day 3? 648 . 9.1 : if there are 3535 insects on day 00, how many insects are there on day 33

Answers

Permethrin kills insects immediately upon contact; it is not an insect repellent. It is occasionally used to treat textiles.

Why are there so many insects?

Insect populations are under threat globally due to habitat loss, pesticide use, and climate change. Numerous factors have an impact on insect population growth.

How would this affect the insect population?

However, habitat loss, pollution, and climate change are all contributing to a global decline in both the quantity and diversity of insects. Many of these significant creatures risk going extinct within the next few decades if widespread action is not taken. These include genetic components, food availability (quantity, quality, and access), weather, natural predators, and agricultural methods. Typically, the ecosystem's regulating elements cause more than 98% of insects to perish before they reach maturity.

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Why does species outside the quadrat doesn't matter?

Answers


A quadrat is a simple device for marking out a small area. For young children at primary school the quadrat is often a convenient way of focusing a pupil's attention on a particular small area. At secondary level, pupils should understand how quadrats can be used to sample a larger area. By recording information from a number of quadrats placed within a larger study area, they can obtain a representative sample of the whole area, which may be too big to describe in full.

Which type of molecule that can be found in living things lacks carbon atoms? Protein Carbohydrates Fat Water

Answers

Water - only consists on Oxygen and hydrogen

Carbohydrates- carbon hydrogen oxygen

Fat- consists of hydrocarbon chains

Proteins - has a central carbon

Answer:

d

Explanation:

Why is photosynthesis crucial to the survival of most organisms on Earth?

Answers

Photosynthesis is essential to all life on earth; both plants and animals depend on it. It is the only biological process that can capture energy that originates in outer space (sunlight) and convert it into chemical compounds (carbohydrates) that every organism uses to power its metabolism.

Hope this help

Which one of those besides the white one is correct?

Which one of those besides the white one is correct?

Answers

i think it’s the very first bullet point

Answer:

A and C are correct

Explanation:

C is correct and since A is the exact same thing just in different words it is also correct

Plant cells have a rigid cell wall, while animals do not. Which of the following explains why animal and plant cells are different in this way?
A. Animal cells are too small to have a cell wall.
B. Plants use the rigid cell wall primarily to restrict unnatural substances from entering their cells.
C. Plant cells require the cell wall in order to retain their shape.
D. Animals do not need to restrict substances from entering their cells.

Answers

C. Plant cells require the cell wall in order to retain their shape.

schizophrenia affects approximately ____ percent of the world's population.

Answers

Schizophrenia affects approximately 1 percent of the world's population.

Schizophrenia is a chronic mental disorder characterized by a range of symptoms, including hallucinations, delusions, disorganized thinking, and cognitive impairments. It is a relatively common psychiatric condition, with a prevalence of about 1% worldwide. This means that around 1 out of every 100 individuals is estimated to have schizophrenia.

The prevalence rates may vary slightly across different populations and regions, but the figure of 1% serves as a general estimate. It's important to note that schizophrenia can significantly impact individuals' lives, leading to difficulties in various aspects such as work, relationships, and daily functioning.

Treatment and support from healthcare professionals are essential for managing the symptoms and improving the quality of life for people living with schizophrenia.

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If the mass of each dialysis bag shown in the experimental set-up below is measured before each is immersed in its respective solution, and the mass is measured again 45 minutes later, which bag would you predict will show the greatest increase in mass?

Answers

From the understanding of hypertonic, hypotonic, and isotonic solutions; one can deduce which of the dialysis bags will show the greatest increase in mass. The correct answer would be the dialysis bag with 1.0 M solution.

Hypertonic solutions have higher concentrations than the sap of whatever cell or substances that is put into them. Water molecules will move from the sap of any cell drop into such solutions into the solutions.

Isotonic solutions have the same concentration as the sap of cells drop into them. Hence, no net movement of water molecules by osmosis.

Hypotonic solutions have lower concentrations than the sap of cells drop into them. Hence, water will move from such solutions to the sap of the cells drop into them.

In the images, there are 3 categories of solutions:

Hypertonic solutions: the solutions with 1.0, 0.4, and 0.6 M concentrations. The dialysis bags with 0.2 M solutions will lose water to their respective surrounding hypertonic solutions. Hence, their weights would decrease.Isotonic solution: the solution with 0.2 M concentration, the same concentration as the solution in the dialysis bag. The dialysis bag will neither gain nor lose weight.Hypotonic solution: the solution with 0.2 M concentration but the concentration of the solution in the dialysis bag is 1.0 M. Water molecules will move from the surrounding solution into the solution in the dialysis bag. Hence, the dialysis bag in this case will gain weight.

In other words, the dialysis bag with 1.0 M solution will have the greatest increase in mass due to a gain in water molecules by osmosis.

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If the mass of each dialysis bag shown in the experimental set-up below is measured before each is immersed
If the mass of each dialysis bag shown in the experimental set-up below is measured before each is immersed

Which best describes the processes of mitosis and meiosis? Cells in mitosis go through the PMAT stages twice to produce diploid cells while cells in meiosis go through PMAT stages once to produce haploid cells Cells in mitosis and meiosis go through the PMAT stages twice to produce haploid cells. Cells in mitosis go through the PMAT stages once to produce diploid cells while cells in meiosis go through PMAT stages twice to produce haploid cells. O Cells in mitosis and meiosis go through the PMAT stages once to produce diploid cells.​

Answers

Answer: Cells in mitosis go through the PMAT stages once to produce diploid cells while cells in meiosis go through PMAT stages twice to produce haploid cells. (3rd option)

Explanation:

Cells in mitosis go through the PMAT stages once to produce diploid cells while cells in meiosis go through PMAT stages twice to produce haploid cells.

Mitosis is a process by which a single cell divides to produce two daughter cells.

In diploid (2n) organisms, somatic cells contain two copies of each homologous chromosome, thereby mitosis will produce two identical diploid cells.

Mitosis consists of four phases: Prophase, Metaphase, Anaphase and Telophase.

Meiosis is a process by which a single cell divides twice in order to produce four cells with half the original amount of chromosomes, it is for that reason that meiosis is recognized as a reductional division.

Meiosis is divided into meiosis I and meiosis II.

The phases of meiosis I include Interphase I, Prophase I, Metaphase I, Anaphase I, Telophase I, and cytokinesis; whereas the phases of meiosis II include Interphase II, Prophase II, Metaphase II, and Telophase II, and cytokinesis.

During meiosis I, the chromosome or chromosomes duplicate their genetic information (S phase of the interphase I) and subsequently homologous chromosomes exchange genetic material during prophase I.

In diploid organisms, these two daughter cells generated by meiosis I divide again in meiosis II in order to form haploid (n) gametes.

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Which best describes the processes of mitosis and meiosis? Cells in mitosis go through the PMAT stages

Biological substrates that are associated with depression include all of the following except ______.

norepinephrine

serotonin

cortisol

acetylcholine

Answers

Biological substrates that are associated with depression include all of the following except acetylcholine.

Depression is one of the most common mental disorders, and it is thought to result from a combination of biological, environmental, and social factors. Neurotransmitters, hormones, and brain regions are all involved in the biological basis of depression.

Biological substrates that are associated with depression include the neurotransmitters norepinephrine and serotonin, as well as the hormone cortisol. Norepinephrine and serotonin are both monoamine neurotransmitters that play a role in mood regulation, and they have been implicated in the pathogenesis of depression. Cortisol is a hormone produced by the adrenal glands that is involved in the stress response.

Acetylcholine
, on the other hand, is not generally associated with depression. Acetylcholine is a neurotransmitter that is involved in cognitive functions such as attention, memory, and learning, as well as in the autonomic nervous system. It is more commonly associated with disorders such as Alzheimer's disease and Parkinson's disease than with depression.

In conclusion, all of the following biological substrates are associated with depression except acetylcholine.

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Which molecules are involved in protein synthesis?
ribosomal RNA, transfer RNA, and mutagens
messenger RNA, ribosomal RNA, and transfer RNA
messenger RNA, introns, and ribosomal RNA
transfer RNA, introns, and mutagens

Answers

Messenger RNA, ribosomal RNA, and transfer RNA

Create offspring with a few different levels of Food supply. How does food supply affect the body type of offspring?

Answers

Food supply affects body type of offspring by providing resources for growth, lack of it can cause malnourishment and smaller size.

Food supply can have a significant impact on the body type of offspring. When food is abundant, offspring may have the resources to grow larger and develop more muscle mass. Conversely, when food is scarce, offspring may be smaller and have less muscle mass as they do not have access to as many resources for growth. Additionally, if the food supply is inadequate, the offspring may be malnourished and have health problems. It is also worth noting that genetic factors also play a role in determining body type, so food supply may not be the only factor influencing the body type of offspring.

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Other Questions
Teen drivers are ___% more likely to crash in the first month of having a license than they are after a full year of experience. indiana drivers ed Please help me asap ty ty :) WILL GIVE BRAINLIEST IF CORRECT ANSWER!!!!!!Find the length of side x to the nearest tenth. In the 1800s, the United States was still a very young nation, trying to solidify its identity. The Industrial Revolution began in Great Britain, a fast development of society following the introduction of machines. The United States was slower than Great Britain to fully embrace the changes. Yet key technological developments caused a rapid growth in American urban areas.Better farming methods and tools in the 1800s increased food production. Americans were able to grow enough food for their families as well as to sell. The abundance caused food prices to fall.The expansion of cotton and the growth of textile factories in northern states helped produce the first wave of American industry. More people turned to work in northern factories as a way to support their families. Thousands of immigrants to the United States also settled in or near port cities, looking for work. Even today, the need for work is a common reason people move to urban areas.As a result, cities grew in numbers of people and physical space. As more people and businesses moved in, they needed buildings for living and working. They needed ways to move around the city. We call this process urbanization.In 1820, the United States had only a few cities of 10,000 residents or more. About seven percent of U.S. residents lived in urban areas. The number of cities with more than 10,000 people grew quickly over the next 40 years, especially in the Northeast and Midwest. By 1860, about 20 percent lived in cities. Philadelphia and New York City were the most populated cities in 1860 and would soon reach one million residents.The urbanization of the United States quickened due to technology improvements. Without innovations in food production, the factories could not have grown so quickly. The trend quickened after 1860 and continued throughout the 21st century as well. By 2007, more Americans lived in or near cities than they did in rural areas.Which details are used to support the main fact in the fifth paragraph? (5 points)Data about population changesReasons why people moveExplanation of urbanizationMentions of Great Britain What activity do you find most useful for learning English?NO COPY PASTING FROM THE INTERNET ONLY ORIGINAL ANSWERS THANK U :) How does energy move through space? Find the perimeter of the figure picturedbelow310 what would go in the red square? (T/F) Time series data can exhibit seasonal patterns of less than one month in duration A proposed policy is open for public comment and you receive an email from a citizen with comments about the policy. Is this email a federal record that you need to save?. how has your community influenced you as a person? interactions and perceptions of patients with rheumatoid arthritisparticipating in an online support group 2. While writers track their plots in different ways, all writers tend to follow the same plot structureand test their characters' actions against the same framework. Briefly explain the frameworkthat writers use for plot structure. Tharaldson Corporation makes a product with the following standard costs: Standard Quantity or Hours Standard Price or Rate Standard Cost Per Unit Direct materials 6.8 ounces $ 4.00 per ounce $ 27.20 Direct labor 0.5 hours $ 12.00 per hour $ 6.00 Variable overhead 0.5 hours $ 7.00 per hour $ 3.50 The company reported the following results concerning this product in June. Originally budgeted output 2,200 units Actual output 2,700 units Raw materials used in production 16,900 ounces Purchases of raw materials 18,000 ounces Actual direct labor-hours 530 hours Actual cost of raw materials purchases $ 45,000 Actual direct labor cost $ 12,200 Actual variable overhead cost $ 3,100 The company applies variable overhead on the basis of direct labor-hours. The direct materials purchases variance is computed when the materials are purchased. The labor efficiency variance for June is: Find the slope of the line that passes through the pair of points (4, 4) and (10, 1) Marie has two options to buy the new carpet, but in both of them she has leftover material and she has to cut a piece of it. The first option she has is to buy a roll that is 10 feet wide and 10 feet long, at a cost of $3.50 per square foot. And the second option is to buy a roll that is 9 feet wide and 11 feet long, at $3.25 per square foot. Which would be the best option? Describe the following ordinary differential equations.yexy+exy=0The equation isy+xysin(x)y=0The equation is -y+xysin(x)y=xThe equation is -y+exy+cos(x)y=0The eauation is b) What method could be applied to solve the following initial value problem?y+47y7y=0,y(0)=3,y(0)=1Methoo Apply the Laplace transformation. Use the algorithm for exact equations. Solve the characteristic equation. Comment: Use the formula for separable equations. Find integrating factors. The patient's IV has 500 ml of DSW left to infuse. The pump is infusing at 125 ml/hr. How many hours longer will this IV run? In the context of brainstorming, the fear of what others will think of one's ideas is known as _____. Kira started a game at 4:37 PM and finished it at 5:16 PM.How long did it take her? Give your answer in minutes.