A scientist is investigating the possibility that two traits in a particular plant are determined by genes that are on the same chromosome. The scientist crossed a plant that is homozygous dominant for both traits with a plant that is homozygous recessive for both traits. The heterozygous offspring in the Fl generation were then crossed with a plant that is homozygous recessive for both traits. The results expected if the genes independently assort and the observed results are presented in the table. Phenotype Expected Number in F2 Observed Number in F2 25 17 Long stems, white flowers Short stems, red flowers 25 19 Long stems, red flowers 25 31 25 33 Short stems, white flowers Total number of plants 100 100 Which of the following critical values should the scientist use for the chi-square analysis of the data? a. 3.00 b. 3.84 c. 7.81 d. 8.00

Answers

Answer 1

The critical value the scientist should use for the chi-square analysis of the data is b. 3.84.

THE CHI-SQUARE ANALYSIS OF THE DATA

The chi-square test is a statistical test used to determine whether there is a significant difference between the observed and expected frequencies in a contingency table. In this case, the scientist is investigating whether two traits in a plant, long stems and white flowers, are determined by genes that are on the same chromosome. The scientist has conducted a genetic cross between plants that are homozygous dominant and homozygous recessive for both traits, and has obtained a sample of 100 plants in the F2 generation. The scientist has then tabulated the observed and expected frequencies of the four possible phenotypes (long stems, white flowers; short stems, red flowers; long stems, red flowers; short stems, white flowers) in the F2 generation.

The chi-square test is used to determine whether there is a significant difference between the observed and expected frequencies in the table. The calculated chi-square value is compared to a critical value from a chi-square distribution table with 3 degrees of freedom and a significance level of 0.05. The degrees of freedom for a chi-square test are equal to the number of categories in the table minus 1. In this case, there are 4 categories (phenotypes) in the table, so the degrees of freedom are 3.

The critical value for this test is 3.84. If the calculated chi-square value is less than 3.84, the scientist would conclude that there is no significant difference between the observed and expected frequencies and thus the genes independently assort, meaning that the genes are located on different chromosomes. On the other hand, if the calculated chi-square value is greater than 3.84, the scientist would conclude that there is a significant difference between the observed and expected frequencies and thus the genes are located on the same chromosome.

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Related Questions

What causes increase in rate of cell growth and size?

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Cells can grow by increasing the overall rate of cellular biogenesis such that biomolecule production exceeds the overall rate of cellular degradation of biomolecules by proteasomes, lysosomes, or autophagy.

In a typical mammalian dividing cell, proliferation occurs in her G1 phase of the cell cycle and is closely coupled with the S phase (DNA synthesis) and M phase (mitosis). The combined effects of growth factors, hormones, and nutrient availability provide external signals for cell growth.

Cell growth, proliferation and differentiation are primarily controlled by selective transcriptional regulation of gene expression in response to extracellular stimuli. Much of this transcriptional regulation is regulated by the action of sequence-specific transcription factors.

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How does the immune system use carbohydrates.

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It uses them as energy

What layer of the heart would be most immediately susceptible to infections caused by bacteria circulating in the blood

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The endocardium covers the heart valves and it is these valves that are primarily affected by infective endocarditis. If an infection is left untreated, bacteria can grow and eventually destroy the valve, leading to heart failure.

Three layers of tissue make up the wall of the heart. The outer layer of the heart wall is the epicardium, the middle layer is the myocardium, and the inner layer is the endocardium.

The endocardium is the innermost layer of the heart, lining the ventricles and covering protruding structures such as the heart valves, chordae tendineae, and papillary muscles. Endocardial cells are developmentally and biologically similar to the endothelial cells that line blood vessels. The endocardium protects the valves and heart chambers as well.

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Conventional CPR provides 15% of normal blood flow to the heart and blood flow to the brain is 25% of normal. The Res Q Pod is an impedance device that prevents unnecessary air from entering the chest during the compression phase of CPR. When air is prevented from rushing into the lungs as the chest wall recoils, the vacuum (negative pressure) in the thorax pulls more blood back to the heart, resulting in:

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The Res Q POD ITD lowers intrathoracic stress at some point of the draw back segment of CPR with the aid of using selectively limiting pointless airflow into the chest.

This vacuum will increase preload, lowers intracranial stress (ICP), and improves blood go with the drift to the mind and crucial organs. Compress the ResQPUMP towards a clean difficult floor with about 50 kg of pressure, the use of the pressure gauge at the ResQPUMP as a guide. Observe for an growing gauge reading. 3. Pull up at the deal with with about 10 to fifteen kg of pressure, the use of the decompression pressure gauge as a guide. The CPR remarks gadgets permit to screen the best of resuscitation and tell the rescuer approximately the fundamental parameters of the guide chest compressions being performed, consisting of chest compression price and depth, and complete chest recoil.

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Which specific term describes teeth with two ridges, as found in Old World-monkey molars?
bilophodont
Explanation: Bilophodont molars have two ridges, each created by a pair of cusps that are connected by an enamel ridge, or loph. This type of molar is most often found in Old World monkeys.

Answers

Specific term is bilophodont which  describes teeth with two ridges, as found in Old World-monkey molars.

The molars or molar teeth are huge, level teeth at the rear of the mouth. They are more evolved in warm blooded creatures. They are utilized principally to crush food during biting. The name molar gets from Latin, molaris sanctums, signifying "grindstone tooth", from mola, grinder and lairs, tooth. Molars show a lot of variety in size and shape across vertebrate gatherings. The third molar of people is some of the time minimal.

Alluding to molars that have four cusps arranged in two equal columns, looking like edges, or 'lophs'. This attribute is normal for Old World monkeys. The bilophodont tooth design is found in cercopithecoid monkeys in the three upper molars as well as the first and second lower molars.

With few special cases, molars were utilized to penetrate and pound the seeds. It is recommended that the improvement of bilophodont molars may be a variation by Old World monkeys to seed predation.

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(Complete question) is:

Which specific term describes teeth with two ridges, as found in Old World-monkey molars?

Portland cement is the most common type of cement used in the world. It is made of limestone and other material. It was first developed in 1756 by John Smeaton Portland. Cement is made through a process of heating and grinding. It sets in hardens is with mix with water.. what is the correct statement about Portland cement?

Answers

The statement that is correct is that; Portland is not a mineral because minerals are not man-made. Option C

What is the Portland cement?

We can see that the Portland cement is the product of a kind of a chemicals reaction. In this reaction, there is the combination of the water and the limestone and the mixing is what does produce the Portland cement.

We know that Portland cement is the most common type of cement used in the world. It is made of limestone and other material. It was first developed in 1756 by John Smeaton Portland.

The development of the Portland cement was a mile stone in the rea of the building and the construction industry as we know it today in the whole world. The production of the cement makes it to be hard and then able to survive harsh conditions in usage.

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Missing parts;

Use the definition of minerals to choose the correct statement about Portland cement.

Portland cement is the most common type of cement used in the world. It is made of limestone and other material. It was first developed in 1756 by John Smeaton. Portland cement is made through a process of heating and grinding. It sets and hardens when mixed with water.

A

Portland cement is a mineral because all minerals are made of limestone.

B

Portland cement is a mineral because all minerals harden when mixed with water.

C

Portland is not a mineral because minerals are not man-made.

D

Portland cement is not a mineral because minerals aren’t used in daily life.

Which of the following would you expect to have the least effect on hematocrit percentage?
A) prolonged or excessive fever
B) living at higher altitude
C) dehydration
D) injection with erythropoietin (EPO)

Answers

The answer is A. prolonged or excessive fever.

Which of the following best describes why scientists used the conversion of stored binary patterns to send an image to star cluster M13?

Answers

Scientists used the conversion of stored binary patterns to send an image to the star cluster M13 as a way to transmit data over long distances through space using radio waves.

What are binary patterns?

Generally,  Radio waves allowed scientists to communicate data over vast distances via space by converting stored binary patterns into a pattern that could be decoded as an image. This was done in order to send a picture to the star cluster M13.

By encoding the information to be sent into a binary format, which can then be communicated as a sequence of radio waves, this technology enables the transfer of enormous quantities of information in a manner that is both efficient and accurate.

It is possible that the picture was selected as the data to be sent in order to demonstrate the capabilities of the technology or to test those capabilities.

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How do you calculate pedigree risk?

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Pedigree risk calculation: A heterozygote has a 50% chance of not passing the a gene to their progeny. The likelihood that she won't pass it on to one of her two children is (1/2)(1/2) = 0.5 2 = 1/4.

By analysing a pedigree, we may identify genotypes, recognise phenotypes, and predict how a trait will be passed down in the future. A pedigree's information can be used to assess an allele's mode of inheritance, such as whether it is dominant, recessive, autosomal, or sex-linked.

Analyze the trait's dominance or recessivity. The trait must be possessed by one of the parents in order to be dominant. No generation will be exempt from prevailing traits. As long as both parents are heterozygous, a recessive characteristic can exist even if neither parent possesses it.

If the trait is autosomal or sex-linked, analyse the graph to find out (often X-linked). For instance, in X-linked recessive traits, males are noticeably more likely to be affected than females. Autosomal traits have an equal chance of affecting males and girls (usually in equal proportions).

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What are the factors that influence sex?

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An Individual's sexual behavior is influenced by a complex interplay of biological, psychological, social, cultural, relationship, and environmental factors.

There are many factors that can influence an individual's sexual behavior, including:

Biological and hormonal factors, such as age, gender, and reproductive statusPsychological factors, such as personality, mood, and mental healthSocial and cultural factors, such as family values, religion, and cultural normsRelationship factors, such as attachment, trust, and communicationEnvironmental factors, such as access to contraception, education, and socialization on sex, and laws and policies related to sex.

It's worth noting that these factors can interact with one another and can change over time, making it difficult to predict an individual's sexual behavior with certainty.

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Individuals with a(n) ________ body type gain muscle more easily than individuals with other body types.

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Individuals with a(n) mesomorphic body type gain muscle more easily than individuals with other body types.

Mesomorphic body types are characterized by a broad chest, long limbs, and a V-shaped torso. Individuals with this body type typically gain muscle more easily than those with other body types. This is due to the fact that their bodies naturally contain more lean muscle mass and their metabolism is higher. They also tend to build muscle more quickly in response to exercise and have more balanced levels of hormones that stimulate muscle growth.

Additionally, they have an advantage in terms of how quickly they can recover from intense exercise, allowing them to continue to progress in their workouts. For these reasons, individuals with a mesomorphic body type are able to gain muscle quickly and easily.

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How much greater are the discharge rates than the recharge rates of the Ogallala Aquifer?

Answers

The recharge rate of the Ogallala Aquifer is estimated to be between 0.1 and 0.2 inches per year.

What is Ogallala Aquifer?

The Ogallala Aquifer is a vast underground aquifer system located in the Great Plains region of the United States. It is one of the world's largest aquifers, covering an area of around 174,000 square miles across eight states, from South Dakota to Texas. It is an important source of water for agricultural, industrial, and municipal uses.

The discharge rate is estimated to be between 0.3 and 0.6 inches per year. This means that the discharge rate is between three and six times greater than the recharge rate.

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Patrick and Patty's son Patterson, who is heterozygous for pink body color (Pp) like his parents, gets married and has kids with Petunia, who is homozygous recessive for yellow skin. What is the likelihood that their kid will have yellow skin like it's mother?
a. 25% chance of yellow skin
b. 50% chance of yellow skin
c. 75% chance of yellow skin
d. it is not possible for their offspring to have yellow skin because Patterson has the dominant trait

Answers

Answer:

b. 50% chance of yellow skin

Explanation:

The likelihood that their kid will have yellow skin depends on the genetic makeup of both Patterson and Petunia. Patterson has the genotype Pp, which means he has one dominant allele for pink body color and one recessive allele for yellow body color. Petunia, on the other hand, has the genotype pp, which means she is homozygous recessive for yellow body color.

When they have children, each parent will contribute one of their alleles to their offspring. The offspring will have a 50% chance of inheriting the recessive allele for yellow body color from Patterson and a 50% chance of inheriting the recessive allele for yellow body color from Petunia. Therefore, the likelihood that their kid will have yellow skin is 50%.

What is the law of conservation of energy short answer?

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According to the rule of conservation of energy, energy can only be transformed from one form of energy to another and cannot be created or destroyed.

This indicates that unless energy is added from the outside, a system always has the same quantity of energy.

Energy conservation was different from mass conservation. However, special relativity demonstrates that mass and energy are connected by the formula E = mc², and science currently holds the belief that mass-energy is conserved as a whole. Theoretically, this means that every mass-containing object can transform into pure energy and vice versa. However, it is thought that this is only feasible under the most severe physical circumstances, such as those that probably occurred in the cosmos just after the Big Bang.

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What color light does a leaf reflect?

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The specific colors of light that a leaf reflects depend on the pigments present in the leaf. Chlorophyll, which is the pigment primarily responsible for the green color of leaves.

leaf reflects green light and absorbs other colors of the visible spectrum such as blue and red. Carotenoids, which are pigments that give leaves their yellow and orange colors, leaf reflects yellow and orange light. And finally, anthocyanins which are pigments that give leaves their red, purple and blue colors, leaf reflects red, purple and blue light. Additionally to these pigments, other substances on the leaf surface can also affect the light leaf reflects. It's worth noting that while leaves reflect visible light, they also reflect other types of light such as near-infrared and ultraviolet, but these are not visible to the human eye.

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What happens to the light when you look at a green object?

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When you look at a green object, the object reflects green light and absorbs other colors of the visible spectrum. The green light is then transmitted to your eye, where it is focused by the lens onto the retina.

The retina contains specialized cells called rods and cones that are sensitive to different wavelengths of light. The cones in the retina are responsible for color vision and are most sensitive to different colors in the visible spectrum, and when the green light reaches the cones, it triggers a neural signal that is sent to the brain, where it is interpreted as the color green. The absorbed light colors are not reflected and are green absorbed by the object, they are not transmitted to green the eye, so they are not perceived by the observer.

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In toxicity testing, the dose of a chemical above which there is a measurable decline in the health of the organism being tested is referred to as

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In toxicity testing, the dose of a chemical above which there is a measurable decline in the health of the organism being tested is referred to as the toxicity threshold.

A level of the dose above which the toxic effects of the dose can be observed in an organism is known as the toxicity threshold.

Below the threshold dose, no toxic effects are observed. Toxicity testing, also referred to as safety testing or toxicity analysis, is the study of the extent to which an interested substance adversely affects an organism’s normal functions, based on exposure time, exposure route, and concentration of the substance.

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Duchenne muscular dystrophy (DMD) is a recessive, sex-linked disorder carried on the X chromosome. If a woman who is a carrier of DMD and a man without the disorder have children, which outcome is possible?

a. All of their sons and half of their daughters could have DMD.
b. Half of their sons and half of their daughters could have DMD.
c.Half of their sons and none of their daughters could have DMD.
d. None of their sons and half of their daughters could have DMD.

Answers

Answer:

C. Half of their sons and none of their daughters could have DMD.

Explanation:

DMD is a recessive disorder carried on the X chromosome and it is sex-linked. This means that the gene for DMD is located on the X chromosome and it affects mostly males.

If a woman is a carrier of DMD, it means that she has one copy of the mutated gene and one normal copy, and she does not show any symptoms of the disorder.

If a man without the disorder has children with this carrier woman, half of their sons will inherit the mutated X chromosome from the mother. Therefore, they will have the disorder and half of their sons could have DMD.

Since, Females have two X chromosomes, and therefore, if a daughter inherits the mutated X chromosome from the mother, the second X chromosome will be normal which will help in compensating the effects of the mutant one, hence they will be carrier of the disorder but will not show any symptoms. So none of their daughters could have DMD.

So, the outcome is: C. Half of their sons and none of their daughters could have DMD.

Answer:D

Explanation:

I think it is D because only the mother had it and not the father. I don't think the father could get DMD through sex either. So I think that none of their sons and half the daughters could have DMD because they inherited it from the mother.

Every deliberate action you make, such as pedaling a bike, walking, scratching, or smelling a flower, involves neurons in the __________ nervous system.\

Answers

Every deliberate action you make, such as pedaling a bike, walking, scratching, or smelling a flower, involves neurons in the Somatic  nervous system..

So , The correct option is B

The somatic nervous system is one of the peripheral nervous system's divisions. Only the skeletal muscles get motor signals from the central nervous system via the somatic nervous system.

The reactions that are consciously controlled are generated by the skeletal muscles. As a result, the somatic nervous system governs the body's voluntary motions.

Voluntary motions of skeletal muscles, such as walking, sniffing a flower, cycling, and so on, are therefore governed by neurons of somatic division.

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Full Question ;

Every deliberate action you make, such as pedaling a bike, walking, scratching, or smelling a flower, involves neurons in the ________ nervous system.

a) sympathetic

b) somatic

c) parasympathetic

d) autonomic

what is a three dimensional structure that respresents the alternating pattern of particles in a crystal

Answers

A crystal lattice is a three-dimensional arrangement of particles that form a repeating pattern. It is the fundamental building block of all crystalline materials, including metals, minerals, and polymers.

The particles in a crystal lattice are arranged in an alternating pattern, with each particle connected to its nearest neighbors. This arrangement of particles creates a highly ordered structure, which gives crystals their unique properties, such as hardness, strength, and electrical conductivity. The repeating pattern of a lattice is what gives it its distinctive structure and allows it to be easily manipulated.

Depending on the size and shape of the particles, the lattice can take on many forms, from cubic to hexagonal. The arrangement of particles in a crystal lattice can also determine its physical and chemical properties. The structure of a crystal lattice is an important factor that must be considered when designing materials for specific applications.

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What are the 4 factors that influence natural selection?

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The 4 factors that influence natural selection are given as, reproduction, heredity , variation in characteristics, variation in fitness .

The Natural Selection Process's Four Elements. One of the four fundamental tenets of evolutionary theory, along with mutation, migration, and genetic drift, is natural selection. Populations that exhibit variety in features, such as colour, are subject to natural selection. Its core tenet is that when a characteristic exists that enables one person to more successfully thrive in an.

The variation in phenotypic variance-driven individual survival and reproduction is known as natural selection. The generational evolution of a population's heritable features is a fundamental mechanism of evolution. By contrasting it with artificial selection, which in his opinion is intentional and natural selection is not, Charles Darwin popularized the phrase "natural selection."

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What are some of the strategies which can be used on an individual with chronic disease to enable change of behaviour overtime?

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When it comes to helping individuals with chronic diseases to change their behaviors and habits, some of the most effective strategies include:

Education: Educating the individual about the condition, the risks of not changing their behaviors, and the potential benefits of changing them.Goal Setting: Helping the individual to set realistic, achievable goals for behavior change, and then providing support and encouragement throughout the process.Self-Monitoring: Encouraging the individual to track their progress in making changes to their behaviors, either through physical notebooks or via apps.Motivation: Offering incentives and rewards for positive behavior change, such as giving praise or offering rewards for small successes.Social Support: Helping the individual to build a support network of friends and family who can provide motivation, assistance, and accountability throughout the process.Cognitive Restructuring: Helping the individual to identify and challenge the negative thoughts and beliefs that may be contributing to the negative behaviors, and replacing them with more positive and helpful thoughts.Problem-Solving: Working with the individual to develop strategies for overcoming obstacles that may be standing in the way of making changes.

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Each gram of fat you consume provides over twice as many calories as a gram of protein or carbs. What does this tell you about the body's ability to burn off these fuels? which would require the most energy to burn?

Answers

Since each gram of fat provides over twice as many calories as a gram of protein or carbs, this indicates that the body needs almost double the energy in order to burn each gram of fat and therefore the body needs to workout extra to achieve that.

Fats are the fatty acids that are present stored inside the body of an organism. The fats take more time to burn off and yields around 9 calories when each gram of fat is burned off.

Calories are the energy content present in the food. The higher the calories the higher energy it provides to the body. This energy gets stored in the body in forms of fats.

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A large population of rock pocket mice with various fur colors lives in a designated area. Several generations after a volcanic eruption, the frequency of the different colors within the population has changed. What color of rock pocket mice would be most prevalent in the population and why?

Answers

The most prevalent color of the rock pocket mice would be sandy-colored fur, because of the light color of the desert rocks and sand on which they live.

What are rock pocket mice?

The two varieties are light brown and dark brown-black (ancestral variation). Rock pocket mice of a dark tint can be found in environments with a lot of black lava rock.

Mice with light skin tones can be found in environments with sand and light-colored rocks.

Therefore, due to the light hue of the desert rocks and sand where they live, the rock pocket mice' fur would typically be sandy in color.

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The _____ is located near the midline in the anterior portion of the thoracic cavity, posterior to the sternum and slightly superior to the heart.

Answers

Answer:

mediastinum is located near the midline

Association of glucocorticoids with their dna binding sites is essential for the regulation of inflammatory response genes. which one or more of the following might disrupt normal association of glucocorticoids with their dna binding sites and be cause for concern?
a. excess serum glucocorticoid levels b. taking prednisone for an asthma attack c. genetic mutation in the GRE d. zinc deficiency in a patient

Answers

c. Genetic mutation in the GRE,  d. zinc deficiency in a patient might disrupt normal association of glucocorticoids with their DNA binding sites and be cause for concern

Genetic mutations in the GRE (glucocorticoid receptor elements) are an important factor in determining the effectiveness of glucocorticoid hormone therapy.

If a patient is deficient in zinc, this can interfere with the normal binding of glucocorticoids to their DNA binding sites, which can be a cause for concern.

In order to ensure that the treatment is effective, patients must have adequate zinc levels in order for the glucocorticoids to be properly bound to their respective DNA binding sites. By doing so, the effectiveness of the treatment is increased and the risk of side effects is minimized.

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why are food deserts dangerous to a community

Answers

Question: Why are tood deserts dangerous to a community.

Explanation:

In food deserts, healthy foods like fruits, vegetables, whole grains, dairy, peas, beans,meat ,and fish are often expensive or unobtainable

The lack of access to healthily foods in these communities translates to health disparities and high rates of chronic disease

Answer:

this is only what I know

Explanation:

Without access to healthy foods and people living in food deserts may be a higher risk of diet-related conditions as such as obesity, diabetes and even worse is that cardiovascular disease

It is known that before an eye movement or a finger movement occurs, it is possible to record altered activity in a specific cerebral cortex area. The Gestaltists would argue that this is support for the principle of

Answers

The correct option is B ; Isomorphism , The gestalt perception hypothesis seeks to describe how the human brain understands information about connections and hierarchy in a design or picture based on visual signals such as proximity, resemblance, and closure.

According to the proximity principle, things that are near together appear to be more linked than those that are farther apart. Andy Rutledge is the source. Proximity is so potent that it overpowers color, form, and other qualities that could distinguish a collection of things.

According to the Gestalt Theory of learning psychology, every stimulus in learning is received by humans in its most basic form, often known as the Law of Simplicity.

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Full Question ;

It is known that before an eye movement or a finger movement occurs, it is possible to record altered activity in a specific cerebral cortex area. The Gestaltists would argue that this is support for the principle of ____.

A Cerebral sign Gestalt

B Isomorphism

C Einsich

D Quasimorphism

E Equimorphism

Advantages and disadvantages of Biomass energy in our social world

Answers

The advantage of bioenergy is a reliable type of renewable energy where harvesting biomass for electricity can also help us reduce waste but the disadvantage when compared to other sources of electricity, is the cost of collecting, transporting and storing biomass which can be expensive to do.

What is Biomass energy?

Biomass is defined as plant-based material which can be used as a fuel for heat or electricity generation that includes wood, wood residues, energy crops, agricultural residues, and waste from industry, farms, and households.

This energy is the use of organic matter to generate electricity where energy is produced by burning organic matter that comes from plants and animals.

Thus, the advantage of bioenergy is a reliable type of renewable energy where harvesting biomass for electricity can also help us reduce waste but the disadvantage when compared to other sources of electricity, is the cost of collecting, transporting and storing biomass which can be expensive to do.

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Foxes can be red or silver, have different shaped teeth and hunt in different ways. These differences are examples of Group of answer choices species traits variations selections

Answers

Foxes can be red or silver, have different shaped teeth and hunt in different ways.These differences are examples of variations.

Any difference in cells, individuals, or populations of organisms of any species that may be attributed to genetic differences (genotypic variation) or to the influence of environmental conditions on the manifestation of genetic potentials is referred to as variation in biology (phenotypic variation).

Genetic variation refers to individual differences that are passed down from parents, such as eye, hair, and skin colour.

Environmental variation, which includes scars and tattoos, refers to individual variances that are not inherited but rather result from the environment in which the organism lives.

Genetic and environmental variance refers to individual variability in traits like height and weight that are influenced by both genetic and environmental variables.

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In the book Drivers Ed by Caroline Cooney Where will the Campbells go weekly now that Rafe Campbell is running for governor? Chapter 3 2 The test statistic in a two-tailed test is z=-2. 75 use a 0. 05 significance level to find the P value and state the conclusion about the null hypothesis Eating at the all-you-can-eat buffet at your favorite restaurant currently costs $18.50, and in cost by 6% each year1.write a function that correctly depicts this scenario2. How much will this cost 10 years from now ( round your answer to the nearest cent)3 how much did this cost 15 years ago ( round your answer to the nearest cent 1) state whether the dilation with the given scale factor would be a reduction or an enlargementk=4 k=1/2 k= .75 k=5/2 Is 2x 3 a linear function? the fourth industrial revolution is where advances in _______ are radically shifting the way we work, live, learn, and interact with each other. Two branches of a river have different sediment loads. Based on the diagram, which of the following most likely led to the differences in the amount of sediment in the two branches of the river ?A. The overuse of fertilizers in agriculture B. Effluent from a sewage treatment plantC. Deforestation from clear-cutting D. Use of heavy equipment in building construction An electronics company can spend no more than $4,000 on raw materials for circuit boards. The raw materials cost $10 per ounce for copper and $20 per ounce for silver.To summarize the situation, a worker writes the inequality:10c+20s4,000 where c is the number of ounces of copper material and s is the number of ounces of silver material.Which graph's shaded region shows the possible combinations of raw materials the company can buy? If the major airline companies colluded to make consumers pay an additional $50 to be able to carry on luggage, this would be an example of ______ The diagram at right shows a manometer connected to a flask. The mercury levels are measured in mm. the pressure in the room is 740mmHg. Determine the pressure of the gas in the flask.on the flask it has 505mm and 465mm How do you write a prologue essay? What sorts of experiments described in the textbook supported the concept that losses loom larger than gains? Experiments that Police officers break into a home unlawfully to look for evidence. This is an example of the violation ofA. substantive due process.B. the rights of the accused.C. procedural due process.D. the right of association. Developing healthy habits is easy for individuals with strong willpower and self-discipline Tell whether the angles are complementary or supplementary. Then find the value of x. The diagram shows two proportional right triangles.What is the perimeter of the larger triangle? You currently work for the Lexington Legends, a minor league baseball team. The team's attendance is down this year even though the team is playing better than it ever has before. What part of the promotional mix would you suggest the team adjust in order to increase attendance? Multiple Choice - position - promotion - place - product - price Researchers determine the population of phytoplankton in an area of the ocean is significantly decreased comparedto the previous year. What can they conclude from this observation? (1 point)The plankton as a carbon sink will be less than expected, but the plankton as a carbon source willbe greater than expected.The plankton as a carbon sink and as a carbon source in the area will be less than expected.The plankton as a carbon sink will be greater than expected, but the plankton as a carbon sourcewill be less than expected.O The plankton as a carbon sink and as a carbon source in the area will be greater than expected. a pair of sneakers in on sale as shown the sale price is $51. This is 75% of the original price. what was the original price of the shoes?work pls/ explain HELPPP ASAP ( Please include full sentences)