large balen whales, and even whale sharks feed primarily on plankton communities. How can such samll organism provide food for such large animals?​

Answers

Answer 1

Answer:

plankton my look small but if you have a micoscope they are pretty big and no not because it is zoomed on them

Explanation:

do not question me smarts i am smart tho lot smarter then you think i am


Related Questions

this is a simple diagram of a food chain:

producers --> herbivores --> carnivores --> top carnivores

if all the carnivores die out, why does the number of producers decrease?

i'm not sure but what im thinking is, well if carnivores die, then not many herbivores will die, therefore there isn't that natural soil fertilizer due to the dead bodies.

Answers

Explanation:

By all the carnivores, I assume it means regular and top carnivores. This will let the herbivores live longer which means they eat more food, food being producers causing producer numbers to fall drastically

Rocks created from the cooling of magma or lava are called sedimentary metamorphosis igneous metamorphic

Answers

Answer:

points ignuiest

Explanation:

A 50 mL sample of soup was found to be contaminated with E. coli. A dilution of the soup was prepared by adding 14 mL of the soup to 20 mL of water. This was then diluted 1/60, and finally 10-3. Then .25 was added in to 2 plates. The first plate had a colony count of 72 and second had 65.


To do the dilution series does the 50 need to be added?

Answers

Answer:

The answer is "\(\bold{4.0 \times 10^7 \ \frac{CFU}{mL}}\)"

Explanation:

The very first thing we must do is figure out where the plate was really a countable sheet.  By default, at least 30 and 300 colonists must have been on a computable plate. It is deemed incorrect beyond and below this range.  We also will pick the studded 0.25 size, leading towards 72 and 65 colonies. Now calculate the double average.

\(\to 72+ \frac{65}{2} = 68.5\)

We need to calculate its dilution factor for both the second item. Increase for all of this  

All of the dilutions you also made:

\(\to \frac{7}{17} \times \frac{1}{60} \times \frac{1}{1000} \\\\= \frac{7}{1020000}\\\\= 6.8 \times 10^{-6}\)

\(\to \frac{14 \ ml \ soup}{14 \ ml} + 20\ mL\\\\\)

\(\to \frac{CFU}{mL} = \frac{Colonial \ number}{Dilution \ Factor \times Volume \ plated}\\\\\)

            \(= \frac{68.5}{6.8 \times 10^{-6} \times 0.25 \ mL} \\\\ = 4.0 \times 10^7\)

20 babies are born 10 have blue eyes 10 have brown eyes which color is dominant how do you know this and what does this mean in terms of inheritance ​

Answers

Answer:

I don't understand how either of them could be dominate. they are the same #. if there was 11 blue and 9 brown it would be blue

differentiate between saturated and unsaturated triglycerides​

Answers

Answer:

Los ácidos grasos saturados carecen de dobles enlaces entre los átomos de carbono individuales, mientras que en los ácidos grasos insaturados hay al menos un doble enlace en la cadena de ácidos grasos. Las grasas saturadas son sólidas a temperatura ambiente, mientras que las grasas insaturadas son líquidas.

Explanation:

The difference between saturated and unsaturated fat lies in the number of double bonds in the fatty acid chain. Saturated fatty acids lack double bonds between the individual carbon atoms, while in unsaturated fatty acids there is at least one double bond in the fatty acid chain.

Taxonomy is the science that deals with

Answers

Answer:

Similarities

Organization

Classification

Interphase must occur once before meiosis can happen. (Same thing for mitosis). What would happen if interphase didn't occur first?

Question 5 options:

The new cells would have the same amount of DNA.


Half of the new cells would not have nuclei.


The new cells would have half as much DNA.


The new cells would have ¼ the DNA as the original cell.

Answers

Interphase is the initial stage of both mitosis and meiosis. The function of the interphase is to allow the cell to grow, duplicate its DNA, and carry out cellular activities. The next stages of mitosis and meiosis occur following interphase. Hence, if interphase didn't occur first, the cells would have half the amount of DNA.Interp

hase is a cell cycle phase in which cells prepare for cell division by performing critical growth and replication processes. The DNA is replicated during the S (synthesis) phase of interphase in preparation for cell division. DNA replication occurs only in interphase, and cells must pass through interphase before proceeding to the subsequent stage of the cell cycle.

The amount of DNA in the new cells would be halved if interphase did not occur first before meiosis or mitosis. It's worth noting that interphase is a crucial stage that facilitates chromosome replication and increases the cell's overall size and mass.

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What is the importance of mitosis for unicellular organisms?
A) asexual reproduction
B) sexual reproduction
C) repair of damaged tissue
D) growth

Answers

Answer:

A) asexual reproduction

Explanation:

Mitosis plays an important part in the life cycle of most living things, though to varying extents. In unicellular organisms such as bacteria, mitosis is a type of asexual reproduction, making identical copies of a single cell. In multicellular organisms, mitosis produces more cells for growth and repair.

Answer:

hello again

Explanation:

motosis play an important

Amnesia is a physical disorder that affects the brain. Which statement best explains why amnesia may also be
considered a psychological disorder?
O it can affect personality
O it reduces brain function
O it can be caused by trauma
o it interferes with motor skills

Answers

Answer:

It can be caused by trauma

Explanation:

Dissociative amnesia has been linked to overwhelming stress, which may be caused by traumatic events such as war, abuse, accidents, or disasters. The person may have suffered the trauma or just witnessed it.

Answer:

The correct answer is A, it can affect personality

Explanation:

Just took the test and this was the right answer. Hope this helps!

Natural selection acts on populations of living things, usually through a specific trait. Which statement must be true about that trait? Responses The trait is the same for all organisms. The trait is the same for all organisms. The trait is resistant to mutations. The trait is resistant to mutations. The trait is passed on genetically to the next generation. The trait is passed on genetically to the next generation. All forms of the trait have the same impact on survival. All forms of the trait have the same impact on survival.

Answers

The statement " The trait is passed on genetically to the next generation" is true about the trait by which natural selection acts on populations of living things.

The trait can't be the same for all organisms since there are variations among all organism.Each organism is unique based on difference in genetic material even among same species.If the trait is resistant to mution then organism cant adapt to change in environment

As a result if environment change suddenly or there is a random calamity the entire population of organisms could be wiped out. So there should heritable traits susceptible to mutation or changes.

And the trait should be passed on from generation to next and if they succed of the competion among others and survive and reproduce more such traits will be selected by nature.All forms of trait cant have the same impact only those selected by nature will be more prominent.Others will have disadvantage.

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Describe how a child is a combination of the traits of both
parents. How does each parent contribute their traits?
Will every trait from each parent appear in the child?
What type of reproduction resulted in you?
Write your response below in complete sentences.

Describe how a child is a combination of the traits of both parents. How does each parent contribute

Answers

Answer:

When a child is formed, they get half of their genes or traits from each parent. These genes are like tiny sets of instructions that determine things like a child's hair color, eye color, and height. Each parent contributes their genes through their sperm or egg. For example, if a parent has brown eyes, they will contribute a gene for brown eyes to their child. If the other parent has blue eyes, they will contribute a gene for blue eyes to the child.

However, not every trait from each parent will appear in the child. Some traits are dominant, which means they will show up even if only one parent contributes that gene. Other traits are recessive, which means they will only show up if both parents contribute that gene. And sometimes, traits can be a combination of both parents' genes.

In terms of human reproduction, we are the result of sexual reproduction. This means that an egg from a female and a sperm from a male combine to form a zygote, which eventually develops into a fetus and then a baby. Each parent contributes half of their genetic material to the child, resulting in a unique combination of traits.

Explanation:

Sana makatulong

A child inherits traits from both parents through a process known as genetic inheritance. Humans have two sets of chromosomes, one set inherited from the mother and one from the father. Each set contains genes that determine various traits such as physical characteristics, eye color, hair type, and many others.

Each parent contributes their traits to the child through the genes on their respective chromosomes. Traits are typically determined by the combination of alleles. For example, if the mother has a gene for brown eyes and the father has a gene for blue eyes, the child may inherit one allele for brown eyes and one allele for blue eyes.

During reproduction, the parents' genetic material combines through the process of fertilization. The father's sperm carries genetic information in the form of chromosomes, while the mother's egg also contains chromosomes. When the sperm fertilizes the egg, their genetic material combines to form a unique set of chromosomes in the resulting zygote.

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Why is the food chain important??!?!?!?!!?!?!?

Answers

Answer:

The food chain is very important. It needs to be running smoothly because if an animal gets extinct, it may create a domino effect. Animals rely on food (prey), to live. If that prey dies, they may not have another food source. If this happens, then that predator would starve and die as well.

:)

Answer:

pls mark me the brainliest

Explanation:

The food chain is very important. It needs to be running smoothly because if an animal gets extinct, it may create a domino effect. Animals rely on food (prey), to live. If that prey dies, they may not have another food source. If this happens, then that predator would starve and die as well.

Which animal had to eat the most frequently in order to maintain its energy
level?
A. Rattlesnake
B. Small fish
C. Hummingbird
O D. Kangaroo rat

Answers

Answer:D

Explanation:

Answer:

C. Hummingbird Have a great night or day

Explanation:

100% correct A P 3 X I just did the assessment i got all the answers right :)

Which criterion is a requirement for naturalization as a US citizen?

A.
The person must be a lawful, permanent resident for five years.
B.
The person must read, write, and speak at least two languages.
C.
The person must be related to a natural or naturalized citizen.
D.
The person must be between the ages of 18 and 55 years old

Answers

The person must be a lawful, permanent resident for five years is the criterion that is a requirement for naturalization as a US citizen.

You must be at least 18 years old, be able to read, speak, and write English, have knowledge of US history and government, adhere to the laws outlined in the US constitution, and have lived on US soil for at least 30 months prior to applying in order to qualify for citizenship as an American. There are also other requirements that must be met in order to qualify for citizenship as an American.

Following compliance with the criteria outlined by Congress in the Immigration and Nationality Act, a lawful permanent resident is granted U.S. citizenship through the naturalization process (INA).

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How are galaxies classified? (1 point)
O by their shape
O by their location within the universe
O by their size
Oby the age of their stars

Answers

2 it will help us to help you with your own personal information

What characteristics of organisms does the Linnaean system of classification use to give organisms their specific name?

A. genetic
B. evolutionary
C. environmental
D. physical

Answers

Answer:

D, Physical

Explanation:

Linnaean classification uses visible physical features. It has a kingdom-to-species taxonomy. Each species has a distinct two-word Latin name. Therefore, option (D) is correct.

What is Linnaean system of classification?

The Linnaean system classifies organisms according to their outward morphological and behavioural similarities. A hierarchy of taxonomic levels, from the kingdom down to the species, makes up this structure. A distinct, two-word Latin name is bestowed for each and every species.

Carl Linnaeus, the "Father of Taxonomy," named and organised species. His hierarchical categorization scheme and binomial nomenclature system were major advances to taxonomy (two part naming method). The Linnaean system organises organisms into Kingdom, Phylum, Class, Order, Family, Genus, and Species. Latin names are global. A species' scientific name includes its genus. Italics or underlining cover the name. Humans, for instance. It's Homo sapiens.

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Place the respiratory structures below in the order that air would pass through them as it moves from the outside to the inside of the body.

Answers

The respiratory structures in order that air moves from outside to inside include primary bronchus--> secondary bronchus--> Tertiary bronchus--> terminal bronchioles--> respiratory bronchioles--> alveolar duct--> alveolar sacs--> alveoli.

What is respiratory system?

The respiratory system is one of the major systems of the body that helps in the oxygenation of the blood which is used by the body cells for oxidation.

Respiration occurs as we breath in air or oxygen and breath out carbon dioxide as used air from the body.

The correct flow of this air from outside to the inside of the body through the following order:

The primary bronchus: This is the first division of from the trachea at the carina forming two bronchi which leads to the left and right lungs.

The secondary bronchus: This divides form the primary bronchus.

The tertiary bronchus: This divides from the secondary bronchus to to supply each segment of the lungs.

The terminal bronchioles: This divides from the tertiary bronchus

The respiratory bronchioles: This divides for the terminal bronchioles.

The alveolar duct, alveolar sacs and alveoli is the main area that oxygen is exchanged with the blood.

primary bronchus--> secondary bronchus--> Tertiary bronchus--> terminal bronchioles--> respiratory bronchioles--> alveolar duct--> alveolar sacs--> alveoli.

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Place the respiratory structures below in the order that air would pass through them as it moves from

if a plant cell and animal cell were placed in a dilute salt solution and than transferred to distilled water what will happen to the cells​

Answers

higher water concentration outside the cell to a lower water concentration inside the cell

Explanation:

water will defuse from a higher water concentration outside the cell to a lower water concentration inside the cell. Red blood cells are placed in a solution with a lower water Concentration compared to content 1.7% salt solution will lose water by the osmosis and shrink

mike is studying the phylogenetic tree for big cats. He made several statements about the tree. which statement is not true

Answers

Answer:

D. The leopard is more closely related to the tiger than to the snow leopard.

Explanation:

Leopards are more related to snow leopards than tigers.

Brainliest, please :)

The process of meiosis is essential in the sexual reproduction and life cycle of many organisms. The outcome of meiosis is haploid gametes. Which statements correctly describe the importance of meiosis to the life cycle or these organisms?
A) Increasing genetic diversity ensures that no two haploid gametes are exactly the same.
B) Taking a diploid cell to its haploid state occurs during the first cell division of meiosis.
C) Checkpoints during meiosis ensures that chromosome separation occurs accurately, avoiding non-disjunction.
D) DNA synthesis occurs before each cell division in meiosis ensures that the integrity of the chromosomes is maintained.
E) Reducing the number of chromosomes by half during meiosis ensures the chromosome number is maintained during fertilization.

Answers

Answer:

E) Reducing the number of chromosomes by half during meiosis ensures the chromosome number is maintained during fertilization.

A) Increasing genetic diversity ensures that no two haploid gametes are exactly the same.

Explanation:

Meiosis is a kind of cell division that strictly occurs in sexually-reproducing organisms. It is the process whereby four daughter cells that are genetically different from their parents are produced. In meiosis, the chromosome number of each daughter cell (gamete) is reduced by half. As highlighted in this question, the meiotic process is essential in the sexual reproduction and life cycle of many organisms.

This importance is attributed to the fact that:

- Reducing the number of chromosomes by half during meiosis ensures the chromosome number is maintained during fertilization. That is, a diploid organism (2n) produces a haploid gamete (n), which becomes diploid again when fertilized by another gamete.

- Increasing genetic diversity ensures that no two haploid gametes are exactly the same. This occurs because of a process called CROSSING OVER, which enables that the alleles of each gamete is recombined to be different from one another in order to promote genetic diversity.

Answer:

A, B, C, E

Explanation:

i just did it

What about cellulose makes it ideal for structural support?
A. Glycosidic bonding between chains
B. It has iodine molecules that give it more support
C. It is insoluble
D. Hydrogen bonding between chains

Answers

Answer:

The answer would be D!

Explanation:

A hydrogen bond is one of the strongest molecular bonds.

The Hydrogen bonding between chains makes cellulose ideal for structural support. The correct option is D.

What is cellulose?

Cellulose is a polysaccharide made up of several chains of glucose linked together. It is the main element of plant cells. Its fibers make the plant strong and stiff, supporting the plant. Humans cannot digest cellulose.

Thus, the correct option is D. Hydrogen bonding between chains.

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Why is the replacement level fertility 2.1 instead of 2?
A. because of infant mortality
B. because some people get married more than once
C. we don't know why the math works out that way
D. because some people have twins

Answers

The replacement fertility rate (TFR) in developed countries 2.1 and not 2.0 because "some people get married more than once" (Option B)

What is Replacement Fertility Level?

The degree of fertility of a woman when she propagates exactly enough girls to replace her in the following generation is referred to as replacement level fertility. It is known as the NRR (Net reproduction rate), and it exclusively counts daughters or female children.

TFR is also used as a measure of replacement-level fertility. It is the average number of offspring required to replace both parents in the next generation. A TFR of 2.1 is considered replacement level fertility in industrialized nations. TFR at the replacement level must be more than 2.0. If TFR is 2.0, which is two children per couple, can you anticipate all female offspring to survive until they reach childbearing age? No, TFR must be more than 2.0.

Furthermore, the sex ratio at birth has consistently favored boys, with 105 boys born for every 100 females. After accounting for all of these variables, the replacement level of fertility is 2.1.

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Full Question:

Why is the replacement fertility rate in developed countries 2.1 and not 2.0?

(10Base your answer(s) to the following question(s) on the information belowand on your knowledge of biology.The hedgehog, a small mammal native to Africa and Europe, has beenintroduced to the United States as an exotic pet species. Scientists havefound that hedgehogs can transfer pathogens to humans and domesticanimals. Foot-and-mouth viruses, Salmonella, and certain fungi are knownpathogens carried by hedgehogs. As more and more of these exotic animalsare brought into this country, the risk of infection increases in the humanpopulation.State one way the human immune system might respond to an invading pathogenassociated with handling a hedgehog.

(10Base your answer(s) to the following question(s) on the information belowand on your knowledge of

Answers

One way that the human immune system responds to an invading pathogen associated with handling a hedgehog is by the white blood cell will engulf and destroy pathogens.

We can associate this response to a humoral response in which our immune system will create an antibody and this antigen-antibody complex will detect a foreign body or pathogen and they will destroy it through phagocytosis.

a mole is an SI base unit that describes the ...

Answers

Answer: The mole, symbol mol, is the SI unit of amount of substance

Explanation:

Which of the following is an environmental cost of commercial agriculture? A. Overconsumption of water B. Efficient milk production C. Crop rotation D. Primary food crops​

Answers

Answer: A. overconsumption of water

Explanation:

Every other answer is a a positive

What is the only item that can be reused in a self-service situation?

Select one:
a. Beverage Cups
b. Utensils
c. Straws
d. Plates

Answers

the answer to your question is a. Beverage Cups

The action by which an object or item can be used more than once is called reuse. It is a method that reutilizes or repurposes things in the same or different manner from the former usage.

The item that can be reused at self-service is:

Option a. Beverage Cups

The items can be explained as:

Unopened or prepacked items like glassware and cups can be reused. The other items like utensils, plates and straws cannot be reused.

The non-toxic cups can be washed again to reuse and can also be repurposed for other purposes.

Other items like glass bottles can be reused in storing other liquid items.

Thus, beverage cups can be reused.

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A proto oncogene is a normal gene which is expressed in the
physiological condition
O true
O false

Answers

False. Porto oncogenes are a normal gene but they are not expressed in the physiological condition.

Answer: True

Explanation: Proto-oncogenes are genes that normally help cells grow. When a proto-oncogene mutates (changes) or there are too many copies of it, it becomes a "bad" gene that can become permanently turned on or activated when it is not supposed to be. When this happens, the cell grows out of control, which can lead to cancer. This bad gene is called an oncogene.

It may be helpful to think of a cell as a car. For it to work properly, there need to be ways to control how fast it goes. A proto-oncogene normally functions in a way that is much like a gas pedal. It helps the cell grow and divide. An oncogene could be compared with a gas pedal that is stuck down, which causes the cell to divide out of control.

Write me a 10 minute speech about varicella zoster
Need it asap

Answers

Varicella Zoster is an infectious viral disease causing chickenpox in children and shingles in grown-ups. Inoculation plays a crucial part in avoidance and lessening complications.

Aspeech on Varicella-Zoster

Women and noblemen,

Nowadays, I would like to examine a vital and predominant viral disease known as Varicella Zoster. Varicella Zoster, commonly alluded to as chickenpox, is caused by a varicella-zoster infection. It fundamentally influences children, but can too affect grown-ups who have not been already contaminated.

Varicella Zoster presents as a profoundly infectious sickness characterized by a particular hasty, fever, and common disquietude. The infection spreads through coordinated contact or respiratory beads, making it effortlessly transmissible inside families and communities.

Whereas chickenpox is for the most part a gentle ailment in children, it can lead to more serious complications in grown-ups, pregnant ladies, and people with debilitated resistant frameworks. These complications incorporate pneumonia, bacterial contaminations, and in uncommon cases, neurological complications such as encephalitis.

Luckily, the improvement of a profoundly successful antibody has essentially diminished the frequency of Varicella Zoster around the world. Immunization not as it were secures people from the distress and potential complications of chickenpox, but too makes a difference anticipate the infection from spreading inside the community.

In any case, Varicella Zoster doesn't halt at chickenpox. Once the introductory contamination settles, the infection remains torpid inside the body and can reactivate a long time afterward, causing a condition known as herpes zoster, or more commonly, shingles.

Shingles are characterized by a difficult hasty that ordinarily happens in a single dermatome, regularly along the middle or confront. The reactivated infection can cause critical pain and inconvenience, enduring for weeks or indeed months. Moreover, complications such as postherpetic neuralgia, a persistent torment disorder, can happen, especially in more seasoned people.

To combat the chance of shingles, an isolated antibody called the shingles antibody or herpes zoster immunization has been created. This antibody not as it were makes a difference anticipate shingles but moreover diminishes the chance of postherpetic neuralgia.

In conclusion, Varicella Zoster, enveloping both chickenpox and shingles, could be a viral contamination that has critical suggestions for open well-being. We have made significant progress in reducing the burden of this disease through extensive vaccination efforts.

In any case, ongoing efforts to prevent Varicella zoster from returning to our communities and to protect powerless populations require prompt attention and vaccination.

Much obliged to you for your thought. Let's collaborate to ensure a better future for everyone.

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85f equals to how many c?

Answers

85 degrees fahrenheit =

29.444 degrees celsius

85°F is approximately equal to 29.4°C.

To convert Fahrenheit (°F) to Celsius (°C), you can use the following formula:

°C = (°F - 32) * 5/9

Using this formula, to convert 85°F to Celsius:

°C = (85 - 32) * 5/9

°C = 53 * 5/9

°C ≈ 29.4

This conversion is often used when dealing with scientific or international temperature scales, or when comparing temperatures in different geographic locations. It is important to remember that Celsius and Fahrenheit are two different temperature scales, Celsius is used extensively around the world while Fahrenheit is used more frequently in the United States and some other countries.

Therefore, 85°F is approximately equal to 29.4°C.

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Name_________________________________________Date____________________Per______
Using Fruit Loops to Model Types of Natural Selection

In this investigation you will use pieces of Fruit Loops cereal to model a population of organisms. Like all populations, these "organisms" exhibit natural variation. The main variation you will be studying is color. The color trait in Fruit Loops is polygenic, and is controlled by three genes (red, yellow, and blue). After establishing your initial population, you will be presented with a series of different environmental scenarios that will cause your population to change as a result of natural selection.




You will be given a population of organisms (a bag of cereal). DO NOT EAT THE SAMPLES. Observe the organisms and answer the pre-lab questions.

Pre-lab Questions
What is the most obvious variation that is visible in your Fruit Loop population? _________________________

Look at the Fruit Loops. Do you think this variation is caused by a polygenic or single gene trait? Explain.

Three color variations (red, yellow, and blue) exist on their own. Green, orange, and purple, however, are made when two different color Fruit loops mate! Fill in the blanks on the mating combinations that make the following colors. (You will need this information!!)
_________________ + _________________ = Green
_________________ + _________________ = Orange
_________________ + _________________ = Purple

For each type of natural selection we have learned, write what happens to the population. (Take a look back at your notes if you don’t remember!)
Type of Natural Selection
How it changes a population/which trait is favored
Stabilizing


Directional


Disruptive

Answers

Answer:

Hope this helps :)

Explanation:

What is the most obvious variation that is visible in your Fruit Loop population? ____Different colored Froot Loops        

___Blue___   + _Yellow = Green

___Yellow__ + __Red_ = Orange

____Red_  _ + __Blue_ = Purple

How it changes a population/which trait is favored

STABILIZING

Instead of favoring individuals with extreme phenotypes, it favors the intermediate variants. Stabilizing selection tends to remove the more severe phenotypes. This means it would probably favor green, orange, and purple while disfavoring red, yellow, and blue.

DIRECTIONAL

Directional selection, is a mode of negative natural selection in which an extreme phenotype is favored over other phenotypes, causing the allele frequency to shift over time in the direction of that phenotype. Under directional selection, the advantageous allele increases as a consequence of differences in survival and reproduction among different phenotypes. The increases are independent of the dominance of the allele, and even if the allele is recessive, it will eventually become fixed. This means that whichever color is more extreme and advantageous, whether recessive or dominant, will eventually become fixed in the species.

DISRUPTIVE

This is the opposite of stabilizing selection. It favors the extreme phenotypes and tends to remove the intermediate variants. This means it would probably do the opposite of stabilizing selection and favor red, yellow, and blue while disfavoring green, orange, and purple.

Other Questions
What are the 6 types of anemia? Question C6. The value of circuit current (A) is: (3) a) \( 0.38 Canvas * XCIO DE Question 2 Identify which of the following are examples of physical properties the boiling point of ethanol the density of neon gas. the rusting of iron the conductivity of aluminum wire. the condensation of steam. the tarnishing of silver the decomposition of water to hydrogen gas and oxygen gas. the melting point of gold. the frying of an egg the combustion of butane gas. Previous (Beautiful Mind) There is an interesting scene in A Beautiful Mind in which John Nash's character discovers his equilibrium concept. The setup is that there are four men and five women at a bar, and each man must simultaneously walk over to a woman. One of the women, who is blonde, is considered to be more desirable than the other four, who are all brunettes. Although the men all prefer the blonde to the brunettes, if they all go for the blonde they will "block each other" (according to the logic of the movie) and end up unsuccessful; moreover, after going for the blonde, they cannot then go to a brunette because the brunette would be offended at being someone's second choice and would turn down the man. Nash's character then realizes that what ought to happen is for each of the four men to choose a brunette. Let's try to put this situation in a game theoretic model by using a to denote the payoff a man would receive if another man goes for the same woman he does (here there are assumptions that it is possible to "block each other" on brunettes and that being "blocked" on a brunette gives the same payoff as being "blocked" on a blonde, although this is not important for the problem). We'll use b to refer to a man's payoff if he is the only man to go for a woman and that woman is a brunette. We'll use c to refer to a man's payoff if he is the only man to go for a woman and that woman is blonde. The natural restrictions on payoffs are a < b < c. Is there a pure strategy Nash equilibrium where each man ends up with a brunette? What are the pure strategy Nash equilbria? How do these answers change if the blonde turns down everyone (meaning that the payoff to going to the blonde is a, regardless of how many men choose her)? 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