​Peahens prefer to mate with peacocks that have the brightest and largest tail displays. The peacock’s tail is a disadvantage to the males, because it is large and cumbersome and hinders them from escaping from predators. Given these facts, why isn’t the peacock’s tail selected against by natural selection?

Answers

Answer 1

The peacock's tail is a classic example of sexual selection.

A type of natural selection in which traits are selected because they increase an individual's reproductive success, rather than because they increase their survival or ability to avoid predators.

While the peacock's tail may be a disadvantage in terms of survival and avoiding predators, it is a major advantage in attracting mates. Peahens prefer peacocks with larger, more colorful tails, and those males are more likely to mate and pass on their genes to the next generation. Therefore, the benefits of having a large, colorful tail outweigh the costs, and the trait persists in the population due to sexual selection.

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Related Questions

5.08 energy consumption lab worksheet

Answers

The five adjustments we made to the Rube Goldberg device in order to keep the flow of energy going include:

Changing the anglePutting the rubber band firmly to the white ballChanging the position of the weightAttaching the 5lbs to the rope on the third platform found in close proximity to the green tube so it can enter into the see saw device.

What is the  Rube Goldberg device?

The  Rube Goldberg machine, named after American cartoonist Rube Goldberg, is described as  a chain reaction–type machine or contraption intentionally designed to perform a simple task in an indirect and overly complicated way.

The device function by using  a set of tasks that work in succession and trigger one event after another until the final event.

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#complete question:

01.05 energy lab worksheet

Describe the five adjustments you made to the Rube Goldberg device in order to keep the flow of energy going.

What organelles are structures 1, 2, 3, and 4?
Organelle
1
2
B
=
4
F
2
1
3
For pickname give a metaphor for the organelle (for example, a
pls help

Answers

The given cell is a bacterial cell in which 1 is bacterial DNA, 2 is the ribosome, 3 is the plasma membrane, and 4 is plasmid DNA.

A bacterial cell is a type of prokaryotic cell that makes up bacteria. Bacteria are unicellular organisms that can be found in nearly every environment on Earth, including soil, water, air, and inside other organisms. Bacterial cells are much smaller and simpler in structure than eukaryotic cells, such as those found in plants and animals.

A typical bacterial cell consists of a cell membrane, a cell wall, and a cytoplasm containing ribosomes and genetic material in the form of DNA.

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What is the oxygen pathway from nose to the brain?

Answers

When you breathe in, air enters your nose and travels down your trachea (windpipe) and into your lungs. Oxygen from the air you've breathed in then diffuses through the walls of your lungs and into your bloodstream. The oxygen molecules attach to red blood cells and are transported to the brain and other organs throughout your body. In the brain, the oxygen is used by the cells to produce energy and carry out their functions.

Describe the roles of the pituitary gland and blood vessels in coordinating growth in an organism.

Answers

Answer:

The pituitary gland is a small, pea-sized gland located at the base of your brain. It releases several essential hormones and controls the function of other endocrine system glands.

Explanation:

The pituitary gland releases growth hormone, which stimulates cell division and protein synthesis, while blood vessels deliver nutrients and oxygen for growth.

What is pituitary gland?

The pituitary gland and blood vessels play important roles in coordinating growth in an organism. The pituitary gland is a small gland located at the base of the brain, and it is responsible for releasing growth hormones into the bloodstream. These hormones then travel through the bloodstream to target cells throughout the body, where they stimulate growth and development.

The blood vessels play a critical role in delivering these hormones to their target cells. As blood flows through the body, it carries the growth hormones to their target cells, allowing them to promote growth and development. Together, the pituitary gland and blood vessels form an intricate network that helps to coordinate growth and development in the body, ensuring that all organs and tissues grow at the appropriate rate and in the proper sequence.

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Which biological molecule is primarily used as an energy source: a)carbohydrates, b) lipids, c) proteins, d) nucleic acids,

Answers

carbohydrate!! i learned about this in bio earlier this year
carbohydrate!! i learned about this in bio earlier this year

Necesito ayuda por favor Pls help!!

Answers

After the disaster, Kiko became very concerned about her country's dependence on nuclear energy and Japan resort to nuclear energy because C, no native fossil fuel deposits.

What is nuclear energy?

Nuclear energy is the energy produced by nuclear processes, either fission or fusion. The nucleus of an atom is divided into smaller nuclei during nuclear fission, releasing a tremendous quantity of energy in the process.

Nuclear fusion occurs when two atomic nuclei merge to produce a bigger nucleus, which releases energy. Nuclear energy is used to create electricity in power stations.

It is classified as clean energy since it emits no greenhouse emissions, but it also carries substantial safety and environmental dangers.

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why the heart can be considered the muscle with the greatest elastic strength.

Answers

Answer:

Elastic strength is the ability of a muscle to absorb, store, and release energy. The more energy the muscle releases, the faster and more powerful the movement. The fact that the heart pumps 2,500 gallons (9,450 liters) of blood daily makes it the muscle with the greatest elastic strength.

Explanation:

Plants are named according to their?

Answers

Answer: Plants are named according to “International Code of Botanical Nomenclature".

Explanation: As humans, plants also have names. Some have more than one but are mostly known by their “International Code of Botanical Nomenclature". The code is based on a two-name (binomial) system developed by the famous botanist Linnaeus. Each plant is given a first name and last name, generally based in Latin, that is unique to each species. This name is recognized for that plant throughout the world, no matter what the native language might be.

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Goblet cells are only found in which tissue?​​

Answers

Answer: Epithelia

Explanation: Goblet cells are specialized cells that are found in several tissues of the body, including the epithelial tissues. Epithelial tissues are layers of cells that line the surfaces of organs and structures within the body, including the respiratory and digestive tracts, the conjunctiva of the eye, and the glands.

They are found in EPITHILIAL TISSUES

A red-green colorblind woman marries a man with normal vision. Their first child is a girl. Their second child is a boy. What is the probability that the girl will be colorblind? What is the probability that the boy will be colorblind? Briefly justify each one of your answers.

Answers

Answer:

I believe the answer would be 50% or equal likely

Explanation:

Because if you have two children the probability would be equal likely

Which source of water pollution is a nonpoint source?
O A. Acid rain
B. An oil spill
C. Garbage dumps
D. A leaking sewer pipe

Answers

Answer:

A leaking sewer pipe

Explanation:

Because everything in this diasaster is made by human.

what is an effect of an increase in ocean temperature?

Answers

An increase in ocean temperature can have several effects on the marine environment and beyond. Here are some of the most notable effects:

1. Coral bleaching: An increase in ocean temperature can lead to coral bleaching, where coral reefs lose their vibrant colors and become more susceptible to disease and death. This can have devastating effects on marine ecosystems, as coral reefs are home to many species of fish and other marine life.

2. Melting of sea ice: As ocean temperatures rise, the amount of sea ice in the Arctic and Antarctic regions can decrease. This can have serious consequences for the global climate, as melting sea ice can contribute to rising sea levels and changes in ocean currents.

3. Changes in marine ecosystems: Higher ocean temperatures can also lead to changes in the distribution and abundance of marine species, as some species may migrate to cooler waters while others may struggle to adapt. This can have far-reaching effects on marine food webs and the overall health of marine ecosystems.

4. More frequent and intense weather events: Warmer ocean temperatures can lead to more frequent and intense weather events like hurricanes, cyclones, and typhoons. These events can cause devastating damage to coastal communities and infrastructure, as well as disrupt marine ecosystems.

Overall, an increase in ocean temperature can have far-reaching effects on the environment and human society, highlighting the importance of taking action to reduce greenhouse gas emissions and mitigate the impacts of climate change.

Answer:

Increased precipitation

Explanation:

Darwinian Gradualism can be generalized to: The change in a population's phenotype (by genetic change) over time (many, many years of applied geologic time) allowing for the gradual formation of new species from an ancestor group

Answers

The statement 'Darwinian Gradualism can be generalized to the change in a population's phenotype over many years allowing for the gradual formation of new species from an ancestor group' is true.

What is Darwinian Gradualism and which is its importance in evolution?

Darwinian Gradualism refers to changes that occur over many generations that lead to adaptation by natural selection, which is critical for the evolution of traits in nature.

Therefore, with this data, we can see that Darwinian Gradualism can explain minor differences in the phenotypes of the individual in a  species.

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Discuss Gregor Mendel's role in the discovery of the patterns of inheritance.

Answers

Gregor Mendel is known as the father of modern genetics due to his pioneering work in discovering the patterns of inheritance.

Mendel conducted experiments on pea plants, observing and recording the traits of the plants and their offspring. He concluded that traits are inherited from parents and that there are dominant and recessive traits. He also proposed the laws of segregation and independent assortment, which explain how traits are passed down from generation to generation.

Mendel's discoveries laid the foundation for the field of genetics and had a significant impact on our understanding of inheritance. His work formed the basis for modern genetic research and has led to advancements in areas such as medicine and agriculture.

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Answer: Inheritance is defined as receiving genetic information from parents. The whole process of heredity majorly relies on inheritance and that is the reason why offspring are similar to their parents.

It was the mid-19th century when people began to understand inheritance in a proper way. The understanding was possible because of Gregor Mendel, who provided certain laws which are known as Mendal's laws of inheritance.

Between 1856-1863, Mendal conducted various experiments related to the Hybridization of garden peas.

Why were peas chosen?

1. The pea plant was easily grown and maintained.

2. It features several contrasting characters.

3. Pea plant was an annual plant.

Mendel conducted 2 main experiments to conclude law of inheritance. These experiments were:

1. Monohybrid Cross

2. Dihybrid Cross

While doing experiments, Mendel observed that certain things were always being transferred down to offspring in a stable way. Those factors were called Genes.

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Which statement correctly describes the changes in the air as it moves
from Location R to Location T?
The sun heats the land faster than the ocean water, so high-density
air moves from the ocean to the land, becoming less dense.
The sun heats the land faster than the ocean water, so high-density
air moves from the land to the ocean, becoming less dense.
The sun heats the land slower than the ocean water, so high-density
air moves from the ocean to the land, becoming less dense.
The sun heats the land slower than the ocean water, so high-density
air moves from the land to the ocean, becoming less dense.

Answers

Answer: The answer is between (A.)-or-(B.)

The sun heats the land faster than the ocean water, so high-density air moves from the ocean to the land, becoming less dense. Hence option A is correct.

What is Sea Breeze?

The sea breeze is a local wind system that occurs when the land surface is heated faster than the adjacent water surface. During the day, the sun heats the land surface, which in turn heats the air above it. This warm air rises and creates a low-pressure area over the land.

This phenomenon is called sea breeze and occurs when the temperature on land rises faster than the temperature of the water. The land surface gets heated quickly by the sun, and the air above it expands and rises, creating a low-pressure zone.

On the other hand, the water takes longer to heat up due to its higher specific heat capacity, creating a high-pressure zone. The denser air over the ocean moves toward the low-pressure area over the land, causing a cool breeze from the sea toward the land.

As the high-density air moves from the ocean to the land, it rises over the warm land surface and becomes less dense. As it rises, it cools, and the water vapor in it may condense to form clouds and eventually precipitation.

The opposite phenomenon, called land breeze, occurs at night when the land cools down faster than the ocean, causing the denser air to move from the land to the ocean.

Hence option A is correct.

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​A 2013 investigation found “worrisome” amounts of ____ in 97% of the chicken meat in stores across the United States.

Answers

Answer:

your answer is

Explanation:

bacteria

​A 2013 investigation found “worrisome” amounts of bacteria in 97% of the chicken meat in stores across the United States.

Bacteria are single-celled microorganisms that belong to the domain of life known as Bacteria. They are among the most abundant and diverse organisms on Earth. They can be found in various environments, including soil, water, air, and the bodies of plants and animals.

Bacteria come in different shapes (such as spheres, rods, and spirals) and sizes, ranging from a few micrometers to sub-micrometer dimensions. They can cause various kinds of diseases in organisms.

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PRACTICE PROBLEMS
1. A client weighing 50 kg is to receive a Dobutrex solution of 250 mg in 500 mL D5W
ordered to titrate between 2.5 and 5 mcg/kg/min.
a. Determine the flow rate setting for a volumetric pump..
b. If the IV flow rate is being maintained at 25 mL/hr after several titrations, what is
the dosage infusing per minute?

Answers

(a) Determine the flow rate setting for a volumetric pump.

The first step is to calculate the dosage of dobutamine in milligrams per kilogram per minute. This is done by multiplying the patient's weight in kilograms by the ordered dose in micrograms per kilogram per minute. In this case, the patient weighs 50 kg and the ordered dose is 2.5 mcg/kg/min. So, the dosage is 50 kg * 2.5 mcg/kg/min = 125 mcg/min.

The next step is to calculate the volume of solution that contains this dosage. This is done by dividing the dosage in milligrams by the concentration of the solution in milligrams per milliliter. In this case, the concentration of the dobutamine solution is 250 mg in 500 mL. So, the volume of solution that contains 125 mcg of dobutamine is 125 mcg / 250 mg/mL = 0.5 mL/min.

Finally, we need to convert the flow rate from milliliters per minute to milliliters per hour. This is done by multiplying the milliliters per minute by 60 minutes per hour. So, the flow rate is 0.5 mL/min * 60 minutes/hr = 30 mL/hr.

Therefore, the flow rate setting for the volumetric pump is 30 mL/hr.

(b) If the IV flow rate is being maintained at 25 mL/hr after several titrations, what is the dosage infusing per minute?

The flow rate of 25 mL/hr is equivalent to 25 mL / 60 minutes/hr = 0.417 mL/min.

The dosage infusing per minute is calculated by multiplying the flow rate in milliliters per minute by the concentration of the solution in milligrams per milliliter. In this case, the concentration of the dobutamine solution is 250 mg in 500 mL. So, the dosage infusing per minute is 0.417 mL/min * 250 mg/mL = 10.43 mg/min.

Therefore, the dosage infusing per minute is 10.43 mg/min.

example of Exogeneous sources of infection

Answers

Answer:In exogenous infection, no microbial carriage precedes colonization and infection. In endogenous infection, infection is preceded by oropharyngeal or GI carriage.

Explanation:

How are the functions of cork and a cuticle similar? How are these features different?

Answers

The functions of cork and cuticle are similar in that both of these features help to protect plants from damage and water loss. However, cork and cuticle are structurally and functionally different.

Cork is a type of tissue that develops in the bark of woody plants and serves to protect the plant from physical damage, disease, and water loss. Cork cells are dead at maturity and have a thick, waterproof cell wall composed of suberin, which helps to prevent water from entering or exiting the plant. The cork layer also helps to regulate temperature and gas exchange in the plant.

Cuticle, on the other hand, is a waxy layer that covers the leaves, stems, and other aerial parts of plants. The cuticle helps to prevent water loss by creating a barrier that limits the movement of water out of the plant. It also helps to protect the plant from damage and disease by providing a physical barrier against pathogens and pests. The cuticle can also reflect excess light, which helps to reduce the amount of light energy that is absorbed by the plant.

How is a butterfly wing and a bird wing different

Answers

Answer:

Insect wings lack bones, but bird and bat wings have them. Butterfly wings are covered in scales, bird wings in feathers, and bat wings with bare skin. All of these organisms have adapted to life in the air and in doing so have evolved wings.

Do birds and butterfly wings have the same function but different structures?

Features of different species that are comparable in function but not always in structure and do not originate from a single ancestral population are known as analogous structures. The wings of birds and butterflies are analogous structures as they perform similar functions but have different evolutionary origins.

Are the wings of a bird and butterfly homologous or analogous?

Butterfly and bird wings, on the other hand, are analogous and do not meet any of the criteria. Analogous structures may look similar on the surface, but since their similarity is due to convergence rather than common ancestry, analogous structures generally don't meet all of the criteria above.

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Butterfly wings and bird wings are different in both structure and function. Butterfly wings are made up of thin layers of chitin, a protein that forms the exoskeleton of insects. The wings are covered in tiny scales that give them their color and pattern. Butterflies have two pairs of wings and no bones in their wings.

On the other hand, bird wings are made up of bones, muscles, and feathers. Birds have one pair of wings that are attached to their skeleton. The feathers on a bird's wing provide lift and help with flight.

In terms of function, bird wings are used for flapping transversely to generate lift and propulsion, whereas butterfly wings are used for flapping laterally to generate lift.

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mich of the following is a product of the citric acid cycle?

Multiple Choice
Pyruvic acid
Carbon dioxide
Glycogen
Water

Answers

Answer:

Carbon dioxide, and glycogen.

Glycolysis produces 2 pyruvate molecules. The pyruvate molecules then form acetyl CoA and one molecule of carbon dioxide is released. The acetyl-CoA molecules then enter the citric acid cycle. The end product of the citric acid cycle is 2 carbon dioxide molecules, 1 GTP, 3 NADH, and 1 FADH

What are two main ways in which human genetics follows the genetic patterns in other organisms?

Answers

Answer:

Autosomal Dominant and Autosomal Recessive.

Explanation:

These are called inheritance patterns. Examples of inheritance patterns include:

Autosomal dominant – where the gene for a trait or condition is dominant, and is on a non-sex chromosome.

Autosomal recessive – where the gene for a trait or is recessive, and is on a non-sex chromosome.

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When an action potential reaches the axon terminals, communication is typically _______________.

Answers

Eight depolarizes the membrane and open voltage-gated Na + channels

ASAP PLEASE!!Question 1 (5 points)
Red blood cells
Paragraph
Refer to the image of three types of cells:
1. Describe the shape of each cell. 2 points
2. Explain how the structure of each cell relates to its function (why are they shaped
the way they are). 3 points

Answers

Answer:

RBC-biconcave

Skin-polygonal(might be best answer as shape changes according to the layer)

nerve cells-dendritic or tree shape(star shape with tail)

rbc cells have biconcave shape to allow increased surface area for exchange of gases and passage through narrow capillaries.

skin cells have mainly barrier function and polygonal shape allows them to extensively arrange themselves to make an efficient barrier.

nerve cells-they have to gather impulses from various other cells in many directions so star shape cell body allows this and tail(axon) is for transmitting it which in turn relays this information to other nerve cells this completing the pathway for sensory impulses and motor responses.

Explanation:

3. Part of the cell cycle is shown in this simplified
model.
010-
00
O
O-O
This part of the cell cycle is best described as
the process that-
A. Duplicates the DNA
B. Completes cell division.
C. Maintains genetic homeostasis
D. Synthesizes new molecules

Answers

I believe it would be B. Completes cell division

Select the two true statements about natural selection.

Answers

Environmentally compatible features are favoured by natural selection. New qualities emerge as a result of natural selection.

What is the definition of the natural selection theory?

According to the Natural selecting, organisms breed more young than they can withstand in their surroundings. Those who are more physically capable of surviving, maturing, and reproducing.

what is it Natural selection and evolutionary ?

Evolutionary Process the process by which organisms with stronger environmental adaptations typically survive and have more progeny. Evolution. any shift across generations in the phenotypes (inherited traits) of a heterogeneous population.

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If everyone in the population has an equal chance of inclusion in a study, then one would say that the study used a ___________ sampling technique for the study.
A.
random
B.
quota
C.
convenience
D.
availability


Please select the best answer from the choices provided

Answers

Answer:

A- Random

Explanation:

Which of these is a drawback of oil extraction from tar sands?

Answers

When compared to producing the same amount of conventional crude, tar sands extraction emits up to three times higher greenhouse gas emissions.

Which dangers are associated with the mining of tar sands?Additionally, it pollutes freshwater supplies, depletes them, and turns ponds of hazardous waste into vast bodies of water. Piles of petroleum coke, a dangerous byproduct of refining the sticky, black liquid, are created. In actuality, tar sands oil is among the most harmful, carbon-intensive, and poisonous fuels on the planet. When compared to normal crude oil, it produces three times as much greenhouse gas emissions.It releases greenhouse gases that are extremely detrimental to our environment throughout the extraction process.

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100) Which of the following applies only to bryophytes?

Answers

Bryophytes are non-tracheophytes and have sporangium in their structure.

The correct options are option b and c.

Hornworts, mosses and liverworts are some of the examples of bryophytes. Bryophytes do not have any true roots and instead of true roots, they basically have rhizoids.

Bryophytes do not possess any kind of vascular tissue and therefore the presence of xylem or phloem is not observed in them and therefore we can say they contain no tracheid and hence are non-tracheophytes. They do not have conductive system for the transport of water and food in the plant body.

Hence, the correct options are options b and c.

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

"Which of the following would be associated with bryophytes? Select all that apply.

A. roots

B. non-tracheophyte

C. sporangium

D. xylem

E. phloem"--

Mistletoe is a plant species that spreads when bird droppings containing its seeds land on tree branches. After a seed sprouts, the
mistletoe plant penetrates the tissues of the tree using its haustorium, a structure that draws water and nutrients into the plant.
Mistletoe plants also produce large bunches of evergreen leaves that use light to photosynthesize nutrients. These leaves can
block light from reaching the leaves of the tree the mistletoe inhabits. Some trees that become filled with mistletoe are susceptible
to death from a lack of nutrients. Which terms best classify the interactions between mistletoe and the tree it inhabits?
O A. predation and parasitism
OB.
parasitism and competition
C.
mutualism and cooperation
O D. competition and predation
Reset
Next Question

Answers

I believe the answer is A
Other Questions
Consider an airplane patterned after the Fairchild Republic A-10, a twin-jet attack aircraft. The airplane has the following characteristics: wing area = 47 m2, aspect ratio = 6.5, Oswald efficiency factor = 0.87, weight = 103,047 N, and zero-lift drag coefficient = 0.032. The airplane is equipped with two jet engines with 40,298 N of static thrust each at sea level. Calculate the maximum rate of climb for the twin-jet aircraft at sea level and at an altitude of 5 km. Refer to the power plot of the airplane given below at sea level and at 5 km altitude. The excess power at sealevel is 9000 kW and the excess power at 5 km is 5000 kW. 30+ 25+ 20+ sea level 15 + 10 5 km] PA PA PR A PR 1 o 100 158 200 250 300 Ve o 100 150 (m/sec) (m/sec) The maximum rate of climb for the twin-jet aircraft at sea level is [ m/s. The maximum rate of climb for the twin-jet aircraft at an altitude of 5 km is m/s. If banks are holding relatively more reserves, they are lending out relatively _____ than before, thus giving rise to _____ value of the money multiplier. Last one!! thank you By means of a plate column, acetone is absorbed from its mixture with air in a non-volatile absorption oil. The entering gas contains 20 mole percent acetone, and the entering oil is acetone-free. Of the acetone in the air, 98.5 percent is to be absorbed, and the concentration of the liquor at the bottom of the tower is to contain 8 mole percent acetone. The equilibrium relationship is ye=1.85xe. Plot the operating line and determine the minimum number of stages. Hint: Choose 100 moles of entering gas as a basis. Each month, 600 hours of time are available on each machine, and that customers are willing to buy up to the quantities ofeach product at the prices that are shown below:Demands. pricesmonth 1. month2. month1. month2product 1. 120. 200. $60. $15product 2. 150. 130. $70. $35The company's goal is to maximize the revenue obtained from selling units during the next two months.how many constraints does this problem have (not counting the non-negativity constraints)?a.4b.6c.10d.8 Mg(s) + HCl(ac) - MgCl2(AC) + h2(g)hay que balancearlo ayuda por favor would the market-value debt ratio tend to be higher than the book-value debt ratio during a stock market boom or a recession? If putting pressure on your toes or heels will make your snowboard turn, what can you infer will happen if you did not apply pressure with your toes or heels? a. You will still turn-snowboards are impossible to control! c. You will continue in a straight line. b. You will move backwards. d. You will jump into the air. Please select the best answer from the choices provided A B C D Fiscal Administration(10th Edition) Estimating Revenue from a New TaxThe preparation of revenue estimates is particularly challenging when the tax change being proposed is for a new tax. In that instance, the tax system typically provides no relevant information for preparing the estimate, meaning that the estimate will be prepared from a grab bag of data pulled from many sources, none of which exactly match the terms of the new tax law.What estimating protocol is used for the tax? Do you think this is the appropriate approach in this instance? Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)g(x) =3^64 x2cubed root of 64-x^2 The nurse is reviewing the list of new client admissions. For which of these clients should contact precautions be implemented?A 45 year-old diagnosed with pneumoniaA 3 year-old diagnosed with scarlet feverA 6 year-old diagnosed with mononucleosisA 60 year-old diagnosed with herpes simplex what is the length of a scaled drawing with a width of 9cm and the scale factor 3/4? The figure below shows roads near a pond. Each segment of the triangle represents a road or a path, except AB which represents the distance across the pond. Are the two triangles similar? The deliberate intent to draw creative inspiration from the composer's own homeland is known asA. exoticism.B. individualism.C. nationalism.D. verismo. the point of view that scientists will eventually be able to explain everything about the mind via biology is called? Which of the following frequencies is equivalent to a frequency of 100 MHz? determine whether the sequence converges or diverges. if it converges, find the limit. (if the sequence diverges, enter diverges.) a_n = n^4 n^3 9nlim n[infinity] a_n = ____ Question 1(Multiple Choice Worth 2 points)(Slope-Intercept Form MC)The amount of laps remaining, y, in a swimmer's race after x minutes can be represented by the graph shown.coordinate grid with the x axis labeled time in minutes and the y axis labeled number of laps remaining with a line from 0 comma 24 and 6 comma 0Determine the slope of the line and explain its meaning in terms of the real-world scenario. The slope of the line is 6, which means that the swimmer will finish the race after 6 minutes. The slope of the line is 24, which means that the swimmer must complete 24 laps in the race. The slope of the line is 4, which means that the swimmer will complete 4 laps every minute. The slope of the line is negative one fourth, which means that the swimmer completes a lap in one fourth of a minute.Question 2(Multiple Choice Worth 2 points)(Systems of Linear Equations MC)Two siblings, sibling A and sibling B, are saving money for their summer vacation. The amount of money that sibling A has in their savings account, y, can be represented by the equation y = 10x + 25, where x represents the number of weeks. Sibling B's savings can be represented by the equation y = 5x + 50.Based on the graph of this system of linear equations, after how many weeks will their savings accounts have the same amount of money? 2.5 weeks 5 weeks 15 weeks 75 weeksQuestion 3(Multiple Choice Worth 2 points)(Identifying Transformations LC)Polygon ABCD is rotated to get polygon ABCD.Graph of polygon ABCD in quadrant 2 with point A at negative 7 comma 5, point B at negative 2 comma 8, point C at negative 2 comma 4, and point D at negative 4 comma 3 and polygon A prime B prime C prime D prime in quadrant 1 with point A prime at 5 comma 7, point B prime at 8 comma 2, point C prime at 4 comma 2, and point D prime at 3 comma 4Determine the direction and angle of rotation. 270 clockwise rotation 270 counterclockwise rotation 90 counterclockwise rotation 180 clockwise rotationQuestion 4(Multiple Choice Worth 2 points)(Scatter Plots MC)Data was collected on the price per cupcake on orders of different amounts from a bakery. The scatter plot shows the data that was gathered.scatter plot titled cupcake pricing with the x axis labeled number of cupcakes and the y axis labeled cost per cupcake in dollars with points at 1 comma 6, 2 comma 5, 2 comma 5.5, 3 comma 5.5, 4 comma 5, 4 comma 5.5, 5 comma 4.5, 6 comma 3.5, 7 comma 2, 8 comma 1, and 9 comma 0.5Which of the following describes the pattern of association for the scatter plot? There is a weak, positive linear association. There is a weak, negative linear association. There is a strong, positive nonlinear association. There is a strong, negative nonlinear association.Question 5(Multiple Choice Worth 2 points)(Similar Triangles MC)Triangle ABC ~ triangle DEF.triangle ABC with side AB labeled 11, side CA labeled 7.6 and side BC labeled 7.9 and a second triangle DEF with side DE labeled 2.2Determine the measurement of FD. FD = 1.52 FD = 1.58 FD = 1.1 FD = 5.5Question 6(Multiple Choice Worth 2 points)(Slope MC)What is the slope of the line that contains the points (3, 1) and (3, 10)? Undefined 0 negative two thirds negative three halvesQuestion 7(Multiple Choice Worth 2 points)(Experimental Probability MC)An experiment is conducted with a coin. The results of the coin being flipped twice 200 times is shown in the table.Outcome FrequencyHeads, Heads 40Heads, Tails 75Tails, Tails 50Tails, Heads 35What is the P(No Heads)? 85% 75% 50% 25%Question 8(Multiple Choice Worth 2 points)(Dilations MC)Triangle ABC is dilated to produce triangle ABC.Graph of a triangle ABC with vertices at A 10 comma 2, B 18 comma 2, C 18 comma 10. Triangle A prime B prime C prime with vertices at A prime 5 comma 1, B prime 9 comma 1, C prime 9 comma 5.Determine the scale factor used to create the image. one fourth one half 2 4 (Blank) model assumes that all cities grow in a natural way with the same five zones.O Metaphor of the ledgerO Urban sprawlO Concentric circlesO Priority which of the following costs would be most likely be a committed fixed cost for a retailer?A. Cost of a trip to Cancun given to the employee who is "Employee of the Year"B. Lease payments made on the store buildingC. Cost of sponsoring the local golf tournament for charityD. Cost of annual sales meeting for all employees