assume that 85% of cells are infected with a given virus. each of these infected cells on average gives rise to 0.15 newly infected cells. what can you say about the magnitude of the basic reproductive ratio of the virus, r0?

Answers

Answer 1

R0 is then computed by averaging over the number of secondary cases of many diagnosed individuals.

R0, or the fundamental duplicate variety/price, refers back to the contagiousness and transmissibility of infectious pathogens. R0 varies depending on the spread of things and is important in public health management to make sure infectious epidemics are managed.

The R0 or R-naught is the preliminary duplicate quantity of the virus at the start of the pandemic. It refers back to the replica quantity at a selected factor in time. Rt fee approaches the powerful replica quantity. An Rt of less than 1.0 means the infection is not spreading.

We recognize that humans have a tendency to be maximum infectious early within the direction in their contamination. With Omicron, maximum transmission occurs for the duration of only to two days earlier than the onset of signs, and in the two to a few days afterward.

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Related Questions

Hurry up please, due in 20 minutes, and please no links.

How are decreasing amounts of sea ice particularly harmful to mother polar bears and their cubs?

Answers

Answer:

Every winter, Arctic sea ice grows around the pole, its frozen tendrils threading along northern coasts. Right now sea ice has just passed its peak coverage for the year, and will begin to shrink with the coming of spring. It’s a crucial time for polar bears, whose food supply is inextricably linked to sea ice.

And in recent decades, sea ice has been shrinking faster than ever. According to the National Snow and Ice Data Center, 2019 has the seventh-lowest sea ice cover in the Arctic since they began collecting satellite data 40 years ago.

This year “doesn't break any records, but it's the trend that matters,” says University of Alberta polar bear scientist Andrew Derocher. “The downward trend in Arctic sea ice across all months is the concern,” he says, and “now we wait to see what spring conditions bring.” (Read more about global warming’s link to polar bears.)

A cold spring allows ice to linger, giving polar bears easier access to one of their favorite foods: seals. A warm spring cuts short the availability of their food super-highway....

polar bear live on the ice caps and snow so the sea ice melting is basically the same as deforestation, they’re losing their homes and since this is also affecting the fish in the ocean they’re losing their source of food and etc. hope this helps :)

Add evidence based on reading: Read the section titled: Station A: Similar Embryos. Based on the reading and the pictures in the chart-how does the similarity of embryos across species provide evidence for evolution.

Add evidence based on reading: Read the section titled: Station A: Similar Embryos. Based on the reading
Add evidence based on reading: Read the section titled: Station A: Similar Embryos. Based on the reading

Answers

Answer:

Yes, the similarity of embryos across species provide evidence for evolution. The similarity of the embryos indicates that they evolved from the same common ancestor, the embryos at letter A clearly indicates this.  

Explanation:

Complete the following statements regarding the major challenges facing science. Not all choices will be used. ecology coral reef One issue facing science surrounds loss of biodiversity, mainly in the form of extinction, or the complete elimination of a species or larger group climate change Tropical rain forests and particularly in danger ecosystems are two ecosystems that are desert extinction Human exploitation of natural resources can increase this risk natural selection emerging diseases Especially recently, a new challenge faces scientists in the form of emerging diseases such as avian flu, swine fluor SARS biodiversity decrease Human activities, which cycle a larger amount of carbon into the atmosphere than they remove contribute to issues such as ning temperatures (called climate change) and other aspects of cemate change, which is significantly altering ecosystems global warming Increase Reset < Prox 12 13 Next >

Answers

Loss of biodiversity and extinction are major challenges facing science. Tropical rain forests and coral reef ecosystems are particularly in danger. Human exploitation of natural resources increases this risk. Emerging diseases like avian flu, swine flu, and SARS pose new challenges.

1. One of the major challenges facing science is the loss of biodiversity, which primarily occurs through extinction. Extinction refers to the complete elimination of a species or a larger group. This loss of biodiversity has serious consequences for ecosystems and the overall balance of the natural world.

2. Two ecosystems that are particularly at risk are tropical rain forests and coral reef ecosystems. These diverse and fragile environments are facing significant threats due to human activities, such as deforestation, pollution, and overfishing.

3. Human exploitation of natural resources further exacerbates the risk of biodiversity loss and extinction. Activities like unsustainable logging, mining, and hunting contribute to the destruction of habitats and the decline of various species.

4. Moreover, scientists are increasingly challenged by the emergence of new diseases. Diseases like avian flu, swine flu, and SARS pose significant threats to both human and animal populations, requiring extensive research and preparedness.

5. Additionally, human activities play a significant role in climate change, which has far-reaching effects on ecosystems. The release of large amounts of carbon into the atmosphere, primarily through the burning of fossil fuels, leads to global warming and other aspects of climate change. Rising temperatures, altered rainfall patterns, and shifting habitats have profound impacts on biodiversity and ecological systems.

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The complete question is:

Complete the following statements regarding the major challenges facing science. Not all choices will be used.

Choices are- ecology, coral reef, climate change, desert, extinction, natural selection, emerging diseases, biodiversity, decrease, global warming, Increase.

1. One issue facing science surrounds loss of biodiversity, mainly in the form of extinction, or the complete elimination of a species or larger group

2. Tropical rain forests and........................... ecosystems are two ecosystems that are particularly in danger.

3. Human exploitation of natural resources can increase this risk

4. Especially recently, a new challenge faces scientists in the form of emerging diseases such as avian flu, swine fluor SARS

5. Human activities, which cycle a larger amount of carbon into the atmosphere than they remove contribute to issues such as rising temperatures (called climate change) and other aspects of climate change, which is significantly altering ecosystems.

Please help me with this!

Please help me with this!

Answers

Phototropism occurs when a plant bends or grows in a specific direction in reaction to light. Shoots tend to migrate toward the light, while roots tend to grow away from it.

What is phototropism in plants?Phototropism, or the differential cell elongation of a plant organ in response to directed blue light, allows the plant to optimize photosynthetic light uptake in the aerial section as well as water and nutrient acquisition in the roots.Phototropism is classified into two types: positive and negative. Growth toward a light source is referred to as positive phototropism, while growth away from a light source is referred to as negative phototropism. Because plant roots need to extend deeper into the ground for plant stability, water, and nutrients, they display negative phototropism.

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. Which structure manufactures proteins and is located on the Rough ER and in the cytosol of the cell? a. Golgi apparatus c. Vacuole b. Mitochondrion d. Ribosome​

Answers

Answer: d. Ribosome​

Explanation:

Ribosomes are the protein factories of the cell. Composed of two subunits, they can be found floating freely in the cell's cytoplasm or embedded within the endoplasmic reticulum.

While the neurology resident, Dr. Takahashi, was performing her examination, Sally asked her what a nerve was made of exactly. Which of the following statements is true regarding the cellular structure of a neuron? The neurology resident told Sally that axons of neurons make up the nerves that transfer information between the PNS and CNS. The neurology resident told Sally that the cell body, or some, made up the nerves and that this structure was what allowed the signal to travel between the CNS and PNS. The neurology resident told Sally that neurons and their dendrites, which send and reccive signals, made up the nerves and that the information was transported only from the PNS to the CNS. The neurology resident told Sally that neurons and their dendrites, which send and receive signals, made up the nerves and that the information was transported only from the CNS to the PNS.

Answers

The statement that is true regarding the cellular structure of a neuron is; The neurology resident told Sally that neurons and their dendrites, which send and receive signals, made up the nerves and that the information was transported only from the PNS to the CNS. Option A is correct.

This statement accurately describes the composition of nerves and the direction of information transmission. Neurons, which consist of a cell body, dendrites, and an axon, are the basic building blocks of the nervous system. Dendrites receive signals from other neurons, while the axon transmits signals to other neurons.

Nerves, on the other hand, are composed of bundled axons of neurons and are responsible for transmitting information between the peripheral nervous system (PNS) and the central nervous system (CNS). The information flow typically occurs from the PNS to the CNS.

Hence, A. is the correct option.

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--The given question is incomplete, the complete question is

"While the neurology resident, Dr. Takahashi, was performing her examination, Sally asked her what a nerve was made of exactly. Which of the following statements is true regarding the cellular structure of a neuron? A) The neurology resident told Sally that axons of neurons make up the nerves that transfer information between the PNS and CNS. B) The neurology resident told Sally that the cell body, or some, made up the nerves and that this structure was what allowed the signal to travel between the CNS and PNS. C) The neurology resident told Sally that neurons and their dendrites, which send and receive signals, made up the nerves and that the information was transported only from the PNS to the CNS. D) The neurology resident told Sally that neurons and their dendrites, which send and receive signals, made up the nerves and that the information was transported only from the CNS to the PNS."--



What is a macromolecule?

Answers

Answer:

is a very large molecule such as protein. They are composed of thousands covalently bonded atoms
A molecule containing a very large amount of atoms such as protein,nuclei,acid,or synthetic,polynomial is called

Select the correct answer.
George owns a pet dog. One day, he notices that the dog has become very aggressive, and bites anyone who comes close. Which parameter of
health is most likely the cause of the dog's behavior?
OA general
OB.
historical
Oc. physical
OD. Psychological

Select the correct answer.George owns a pet dog. One day, he notices that the dog has become very aggressive,

Answers

Answer: D I believe

Answer:

psychological..............

Identify the steps of the lysogenict

Answers

Answer:

cycle:

1. Attachment: A bacteriophage attaches to the surface of a bacterial cell.

2. Entry: The viral DNA is injected into the bacterium and integrates into the host chromosome.

3. Prophage: The integrated viral DNA is known as a prophage and is replicated along with the bacterial chromosome.

4. Replication: The prophage replicates along with the bacterial DNA during cell division.

5. Induction: A trigger, such as stress or UV radiation, causes the prophage to leave the bacterial chromosome and enter the lytic cycle.

6. Lytic cycle: The viral DNA begins replicating and producing new phages, which lyse the host cell and release new viruses.

7. Release: The newly produced phages are released into the environment to find other bacterial cells to infect.

Note: The lysogenic cycle can sometimes be followed by the lytic cycle, in which the virus uses the host cell to produce new viruses, ultimately leading to lysis of the host cell.

(I will put the correct answers for the whole quick check in the comments)
If you were analyzing a microscopic model of a freshwater ecosystem, what is one
autotroph you might encounter? (1 point)
O ciliates
o algae
O bacteria
O flagellates

Answers

Answer:

Explanation:

1. ecosystem

2. arthropods

3. Microscopic models move at a much faster rate than large-scale systems.

4. algae

100%

If you were analyzing a microscopic model of a freshwater ecosystem, one autotroph that you might encounter is an alga. Thus, the correct option for this question is B.

What is an Ecosystem?

An ecosystem may be defined as a type of place or an area where individuals of different species live together and interact with one another for the purpose of food, shelter, and space.

According to the context of this question, algae are generally found in the freshwater ecosystem as well. They significantly utilize the nutrients from other water bodies and grow appropriately. While organisms like ciliates, bacteria, and flagellates are found in polluted or salty/marine water.

Therefore, if you were analyzing a microscopic model of a freshwater ecosystem, one autotroph that you might encounter is an alga. Thus, the correct option for this question is B.

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Migrating neurons in the developing cerebral cortex begin their journey within the neural tube in a region termed the __________ and are assisted in their migration by __________:

Answers

Migrating neurons in the developing cerebral cortex begin their journey within the neural tube in a region termed the Ventricle Zone and are assisted in their migration by Glial Cells.

In vertebrates, the ventricular zone (VZ) is a temporary embryonic coating of tissue possessing neural stem cells, mostly radial glial cells, of the central nervous system (CNS). The VZ is so anointed because it strips the ventricular system, which retains cerebrospinal fluid (CSF).

Radial glial cells are evolutionarily preserved embryonic NSCs that extend thin fibers toward the pia from their soma, which is situated in the ventricular zone (VZ). During brain growth, neurons forged from glial cells emigrate along radial glial fibers toward the cortical veneer.

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The estimated percentage of cancers that are due to poor diet and lifestyle habits is approximately Group of answer choices3/41/21/31/4

Answers

Solution:

A large body of literature indicates that 30% to 40% of all cancer cases are related to poor dietary or lifestyle habits.

That is equivalent to 1/3.

So that the correct answer is:

1/3

The theory of _____ is a shared understand that encapsulates our current understanding of how biological systems change over time.

Answers

Answer:

evolution

Explanation:

The following are the bases on one side of the DNA molecule. List the bases that would be on the opposite side of the DNA. G- C- T- C- A- G- G- C- G-

Answers

Answer:

C-G-A-G-T-C-C-G-C

Explanation:

The letters each have their own opposites. T is always the opposite of A. G is always the opposite if C

which of the following groups of symptoms are caused by hyponatremia?question 33 options:weak pulse, low blood pressure, and increased heart ratethirst, dry mucous membranes, and diarrheanausea, muscle cramps, and confusioncardiac arrhythmias, paresthesias, and acid-based imbalances

Answers

Hyponatremia is characterized by signs and symptoms such as nausea, vomiting, headache, confusion, lethargy, fatigue, loss of appetite, irritability, muscle weakness, cramps, seizures, and decreased consciousness or coma. More severe symptoms are correlated with lower plasma sodium concentrations.

Why does hyponatremia occur?

A body with too much water or fluid may have low blood sodium levels. The amount of sodium appears low due to this "watering down" effect. Low blood sodium levels can also be caused by sodium loss from the body or by fluid and sodium loss occurring simultaneously.

Insufficient fluid intake or excessive water loss are common causes of this condition. Hypernatremia may also be exacerbated by certain medical conditions, such as dementia, diabetes insipidus, uncontrolled diabetes, kidney disease, and uncontrolled diabetes.

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How do you know that flowers have undergone fertilizer even before they turn into fruits?​

Answers

Answer:

we can know for eg an apple when u buy it and scrape the skin of the apple if you wind some waxy substance from it we can say this has been done to increase the shine so customers think this is a good apple and please do was fruit and vegetables after buying them throughly.

A person's genese are used for dna fingerprinting. true or false?

Answers

It is TRUE that a person's genese are used for DNA fingerprinting.

A person's genes are used for DNA fingerprinting. DNA fingerprinting, also known as DNA profiling or genetic fingerprinting, is a technique that analyzes specific regions of an individual's DNA to create a unique genetic profile. These regions, known as genetic markers, contain variations in DNA sequences that are specific to each individual. By comparing these genetic markers between different individuals, DNA fingerprinting can be used to determine relationships, identify individuals, or establish biological evidence in forensic investigations.

In DNA fingerprinting, specific genes or non-coding regions of the DNA, such as microsatellites or short tandem repeats (STRs), are targeted and amplified using techniques like polymerase chain reaction (PCR). The resulting DNA fragments are then separated and analyzed to create a distinct pattern, or "fingerprint," that is unique to each individual.

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in the process of urine formation, filtration takes place in the bladder. group of answer choices true false

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The statement: in the process of urine formation, filtration takes place in the bladder is FALSE because filtration takes place in the kidneys, not in the bladder.

During urine formation, the kidneys filter blood to remove excess water, salts, and waste products, such as urea and creatinine. This process, known as filtration, occurs in the renal corpuscles of the nephrons, which are the functional units of the kidney.

The filtered fluid, called glomerular filtrate, then enters the renal tubules, where various processes take place to modify the composition of the urine. These processes include reabsorption, secretion, and excretion.

The urine produced by the kidneys then travels down the ureters and is stored in the bladder until it is eliminated from the body through the urethra. The bladder's main function is to store urine temporarily until it is expelled from the body during urination, but it does not play a role in the actual process of urine formation.

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Any surface, prominence, or structure which is used in establishing the location of an adjacent structure or prominence is a(n

Answers

In anatomical terminology, landmarks are surface, prominence or structure that are used to establish the location of adjacent structures, such as muscles. These landmarks are important in clinical settings, as they help healthcare providers locate structures like arteries and veins.

When locating these structures, healthcare providers use descriptive references that involve anatomical structures that are well-known. This is because these structures are easily recognizable and help in providing an accurate location for the structures being sought. For example, the brachial artery can be located by palpating the biceps muscle in the upper arm, which is a well-known anatomical structure. Similarly, the jugular vein can be located by identifying the sternocleidomastoid muscle in the neck. The use of landmarks is essential in providing accurate diagnoses and treatments for patients. Therefore, healthcare providers must have a thorough understanding of anatomical landmarks and their relationship with adjacent structures.

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A ______ is a statement of what will happen in a given set of circumstances

Answers

Prediction is your answer

which factor would most likely have a negative effect on the rate at which photosynthesis occurs in a bean plant?

Answers

Several factors can have a negative effect on the rate of photosynthesis in bean plants. However, one factor that is particularly crucial in limiting photosynthesis is:

1. Light intensity: Bean plants require an adequate amount of light for photosynthesis to occur efficiently. Insufficient light intensity can lead to a decrease in the rate of photosynthesis. If the light intensity is too low, the plant may not receive enough energy to carry out the necessary biochemical reactions. This can result in slower rates of photosynthesis and reduced plant growth.

It's important to note that other factors, such as temperature, carbon dioxide concentration, and availability of water and nutrients, also play significant roles in photosynthesis. However, in the case of bean plants, light intensity is typically the primary factor that limits the rate of photosynthesis.

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A mitosis inhibitor is a medication that is designed to prevent mitosis in certain cells. Why would these be helpful in treatment of tumors?

Answers

"Mitosis inhibitors are used to stop cells from dividing and replicating. Tumors are made up of cells that have uncontrolled growth and division, so mitosis inhibitors can be helpful in the treatment of tumors because they can stop the cells in the tumor from dividing and growing. By preventing the tumor cells from replicating, the growth of the tumor can be slowed down or even stopped, which can be an important step in the treatment of cancer. Some examples of mitosis inhibitors include taxanes, vinca alkaloids, and paclitaxel, which are used in chemotherapy to treat a variety of cancers. However, it's worth noting that mitosis inhibitors can also affect healthy cells that divide rapidly, such as hair follicles and cells lining the gastrointestinal tract, which can cause side effects like hair loss and digestive problems." (ChatGPT, 2023)

is the following statement true or false?
the tissue of the capsule in a moss is diploid.

Answers

The given statement is true, the tissue of the capsule in a moss is diploid.

Funaria is moss and it belongs to the dominion Bryophyta. Funaria continues switching among the gametophytic department and sporophytic department phase. The pill and seta belong to the sporophyte which undergoes meiosis to provide spores. In mosses, the dominant level is the haploid generation (the gametophyte). This way that the green, leafy gametophytic tissue is haploid (has handiest one set of chromosomes). Each sporophyte plant consists of a pill, that's the middle of spore formation; a stalk; and a foot that attaches the sporophyte frame to the end of the gametophyte. Eventually, the diploid spores are launched and, upon a hit germination, develop into some other moss plant.

Thus, the given statement is true.

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Components of an environment that can reduce a population size are called?

Answers

Answer:

Environmental Resistance.

Answer:

Environment Resistance

Explanation:

Factors that reduce population numbers (called environment Resistance) limit population growth

Why did Portuguese sailors round the southern tip of Africa in 1488?

Answers

Answer:

In 1488, Portuguese explorer Bartolomeu Dias (c. 1450-1500) became the first European mariner to round the southern tip of Africa, opening the way for a sea route from Europe to Asia. ... A major maritime victory for Portugal, Dias' breakthrough opened the door to increased trade with India and other Asian powers.

Explanation:

Portuguese sailors around the southern tip of Africa in 1488 because his voyage showed that the Indian and Atlantic oceans flowed into each other.

Why southern tip of Africa named the cape of good hope?

The Portuguese navigator Bartolomeu Dias gave the Cape its original name, the Cape of Storms, in the early 1500s. Later, it was changed to Good Hope to draw more travelers to the southern African coast-passing Cape Sea Route.

The Flying Dutchman supposedly resides at the Cape of Good Hope. The ship is crewed by tortured and ghostly sailors, and according to mythology, it is destined to endlessly beat its way across the nearby waters without ever succeeding in reaching the peninsula.

Thus, Portuguese sailors around the southern tip of Africa in 1488 because his voyage showed that the Indian and Atlantic oceans flowed into each other.

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*HELP ASAP* There are multiple lines of evidence that provide support for common ancestry and evolution. Write 3-4 paragraphs describing at least three of them in detail. Provide at least one example for each line of evidence.

Answers

Answer:

Determining a substance's physical or chemical identity. What are the two main requirements for identification? The adoption of testing procedures that give characteristic results for specific standard materials and the number and type of tests needed to identify a substance to exclude all other substances.

Answer:

The adoption of testing procedures that give characteristic results for specific standard materials and the number and type of tests needed to identify a substance to exclude all other substances.

Explanation:

What's the difference between skin infections and rashes?

Answers

Answer:

rashes is caused by heat while skin infection is caused by bacteria and infection

Answer:

A skin disease might be mellow or genuine. Skin diseases are not quite the same as rashes. A rash is a zone of swollen or disturbed skin

based an your experiments in the previous section, how does tie ouserved relatve brightnes of a starchanger,

Answers

In your experiments with a star changer, you must have observed the relative brightness which is: directly related to the diameter of the lens.

The diameter of the lens, in turn, is directly proportional to the intensity of light that the lens captures. The relative brightness is also related to the surface area of the lens. The surface area, as we know, increases with the square of the diameter of the lens.

Therefore, if the diameter of the lens is doubled, the surface area will increase fourfold, making the image brighter. As a result, we can say that the brightness of the image observed in a star changer is directly proportional to the diameter of the lens, which is dependent on the surface area of the lens.

A bigger lens will be able to capture more light, resulting in a brighter image. Another way to increase the brightness of the image is to use a lens with a lower focal length. As the focal length of the lens is decreased, the image is magnified more, making it appear brighter.

However, this method comes with a downside. As the focal length decreases, the image's clarity decreases as well. Therefore, a balance between the diameter of the lens and the focal length must be maintained to get a bright and clear image of the star.

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What are the 5 structures that enable the heart to contract (cardiac conduction)

a. Which chambers of the heart contact?

Answers

Answer:

sinoatrial node

Explanation:

impulses starts in small bundles of specialized cells which are located in the right atrium which is known as the SA node. The electrical activity tends to spread through the walls of the atria and then causes it to contract. however, forcing the blood into ventricles.

What global phenomenon has caused some organisms to move towards the poles or to
higher altitudes?

Answers

Global warming/ rising sea levels
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Providing livestock with low dose antibiotics can lead to the creation of more ____________. a pesticides b superbugs c viruses d compost All of the following are marketing management philosophies except? sales orientation societal marketing orientation market orientation profitability orientation I need help, thanks!! providing a great user or visitor experience begins with The following data points represent the number of chicken nuggets on each family member's plate. \qquad 1, 3, 0, 6, \large?1,3,0,6,?1, comma, 3, comma, 0, comma, 6, comma, question mark if the mean of the data set is 333 chicken nuggets, find the missing number of chicken nuggets. \qquad nuggets please show work that you got the answer and i will give brainliest For the speeches you will be delivering in this class you should have _____ main points. Charles Murrays essay Are too many people going to college pp. 506-26 attempts to question the purpose of education, especially higher education. While you read, please identify his thesis/claim. Complete the following: joining the conversation p. 526- prompts 1,2&5 In what ways did government in the Southern states change during Reconstruction ? Using the dichotomous key above, what is the scientific name of this animal?Vulpes vulpesTurdus migratoriusProcyon lotor WORTH 30 POINTS!!Basic points is fine!!!! 5. When does the Fed use a stimulative monetary policy and whendoes it use a restrictive-monetary policy? What is a criticism of astimulative monetary policy? What is the risk of using a monetarypo Founder and principal researcher Robert W. Kahle of Kahle Research Solutions Inc., in his book Dominators, Cynics, and Wallfl owers , dissects typical focus group participants to illuminate ways to modify their problem behaviors.DOMINATORS are all-knowing, quick to answer, and choose a seat location in order to challenge the moderator for control.CYNICS display negative behaviors and deride the ideas of others.HOSTILES have an agenda of their own and seek corrective action; they are often angry and combative.INTOXICATEDS are under the infl uence of something, fidgety and incoherent.PROSELYTIZERS cannot accept that others hold opposing opinions and try to persuade others to their opinion.BLATHERERS offer long, off-topic answers and ignore moderator cues.JOKERS find every comment source material for a new joke, story, or comical facial expression.FOLLOWERS tend to repeat others opinions.WALLFLOWERS withdraw both physically and verbally.Finally, CO-MODERATORS often engage participants before a discussion starts, ask questions of their own, and seek to befriend or support other participants.Why is each of these behaviors a problem and how would you handle each of these problem participants? what should you do if your atv starts to tip while you are turning at a moderate speed? How would you characterize the relationship between Ralph, piggy from the Lord of the Flies The points (-5, 5) and (5, u) fall on a line with a slope of 3/10 What is the value of u?Thank you! mrs martin and his son luke decide to walk a 12 kilomiter trail mrs martin takes a 1-hour trail head start and walks a pace of 3 km/hr explain how fast luke should walk to reach the end of the trail in 3 hours the same end of the trail in 3 hours the same time as mr martin eight multiply by 5 over 12 equals List at least three natural causes for deforestationList at least four human causes for deforestation A quantity m varies jointly with p and r. When p is 2 and r is 4, m is 1. What is the constant of variation? One-eighth One-half 2 8.