sometime in the not-too-distant future, a catastrophic event ends the world as we know it, leaving only one population of 20,000 humans in north america. we sample a neutrally evolving locus with only two alleles, and find that the a1a1 genotype occurs in 7200 people. what is the expected number of people that are heterozygous at this allele, assuming hardy-weinberg equilibrium? group of answer choices 3,200 7,200 9,600 12,000 12,800

Answers

Answer 1

According to hardy-weinberg equilibrium, 12,000 persons should be heterozygous for this gene.

How are the anticipated heterozygotes determined?

In relation to allele frequency, p, expected heterozygosity (Hexp = 2pq) for a 2-allele system is shown. The heterozygosity reaches its apex at a value of 0.5 when the allele frequencies are equal (p=q). At both ends, it is negligible because everyone is a homozygote of one type or the other.

How is heterozygous calculated by Hardy-Weinberg?

The proportion of heterozygous people is equivalent to 2pq. In this instance, 2pq is 0.32, which indicates that 32% of people are heterozygous for this gene (2 (0.8)(0.2) = 0.32).

To know more about hardy-weinberg equilibrium visit:-

https://brainly.com/question/29773694

#SPJ4


Related Questions

What functions are carried out by the interaction of the circulatory and respiratory systems?

Answers

Answer:

Explanation:

mail me via at 16jacktwinwritters for more explanation

_____: the sudden, temporary reversal of the difference in charge between the inside and outside of a neuron

Answers

Depolarization: This occurs when there is a rapid and temporary reversal of the electrical charge across the cell membrane of a neuron, leading to a brief increase in the membrane potential.

During depolarization, the inside of the neuron becomes more positively charged than the outside due to the influx of positively charged ions such as sodium (Na+) into the cell. This change in charge can trigger the opening of voltage-gated ion channels, leading to an action potential that propagates down the length of the neuron.

Depolarization is a crucial step in the process of neuronal communication and plays a role in various physiological processes such as muscle contraction, sensory perception, and cognitive function. Dysregulation of depolarization can lead to a variety of neurological disorders.

Learn more about depolarization here;

https://brainly.com/question/31722708

#SPJ11

please help!!!!!!!!!!!!!!!!!!!!
i will award the best answer with brainlyist

please help!!!!!!!!!!!!!!!!!!!! i will award the best answer with brainlyist

Answers

B is the answer, the low pressure doesn’t form from unequal heating
the answer should be b

During translation, what is the correct order of events that occur as an amino acid is added to a growing polypeptide chain?

Answers

Amino acids are added one by one to the first amino acid. The polypeptide leaves the tRNA in the P site & attaches to the amino acid on  the tRNA in the A site. The ribosome creates a new peptide bond, thus the chain has one more amino acid.

What is translation?

The process by which information contained in messenger RNA (mRNA) guides the addition of amino acids during protein synthesis is known as translation in the context of genomics. The process of translating mRNA into the chain of amino acids that makes up the produced protein occurs on ribosomes in the cytoplasm of the cell.

tRNAs bring their amino acids to the mRNA in a specific order. This order is determined by the attraction between a codon, a sequence of three nucleotides on the mRNA, and a complementary nucleotide triplet on the tRNA, called an anticodon. This anticodon also specifies the particular amino acid that the tRNA carries.

To learn more about translation click on the link below:

https://brainly.com/question/1210543

#SPJ4

the members of the kingdom Archaea that live in the dead sea are known as______?

Be kind please

Answers

halophiles
Hope that helped :D

The cornea of a normal human eye has an optical power of +42.0 diopters.
What is its focal length?

Answers

Answer:

Explanation:P=1/f so F=1/p

so 1/4= -25cm

Think about how sunlight provides the energy neccssary to all living organisms on Earth. Think also about how the Sun's gravity holds the Earth and the other planets securely in their orbits. Write at least a panigraph.

Answers

Sunlight is a fundamental force that sustains life on Earth, providing the energy necessary for all living organisms to thrive. Its radiance illuminates our world, driving photosynthesis and enabling the growth of plants that form the foundation of various ecosystems.

From the towering trees of dense forests to the delicate blooms in meadows, sunlight fuels the intricate web of life, as organisms harness its energy to carry out vital biological processes.

Beyond its role as an energy source, the Sun's gravitational pull plays a crucial role in maintaining the stability and harmony of our solar system. The immense gravitational force exerted by the Sun holds Earth and the other planets securely in their orbits, preventing them from spiraling off into space. This celestial dance orchestrated by gravity ensures the precise positioning of celestial bodies, allowing for the rhythmic cycles of days, seasons, and years that shape our planet's environment.

The intricate interplay between sunlight and gravitational forces showcases the remarkable interconnectedness and balance that exists in the cosmos. The Sun's radiant energy powers the vibrant tapestry of life on Earth, while its gravitational embrace maintains order within our planetary system. Together, they shape our understanding of the universe and remind us of the awe-inspiring forces that shape our existence.

learn more about Sunlight  here

https://brainly.com/question/27183506

#SPJ11

Does the population need to be normally distributed for the sampling distribution of x over bar to be approximately normally​ distributed? Why?

Answers

No, the population does not need to be normally distributed for the sampling distribution of x over bar (sample mean) to be approximately normally distributed.

According to the Central Limit Theorem (CLT), the sampling distribution of the sample mean becomes approximately normal regardless of the shape of the population distribution, as long as the sample size is sufficiently large (typically n ≥ 30). This is one of the fundamental principles in statistics.

The CLT states that when random samples are taken from any population, regardless of its distribution shape, the distribution of sample means will tend to follow a normal distribution. The larger the sample size, the closer the sampling distribution will resemble a normal distribution.

Therefore, even if the population is not normally distributed, as long as the sample size is sufficiently large, the sampling distribution of the sample mean (x over bar) will approximate a normal distribution. This property of the CLT allows for the use of many statistical inference techniques that rely on the assumption of normality, even when the population distribution is non-normal.

To learn more about sampling distribution, here

https://brainly.com/question/31465269

#SPJ4

An imaginary line drawn through the body to separate it into sections and create directional terms is called a body _______.

Answers

In conclusion, an imaginary line drawn through the body to separate it into sections and create directional terms is called a body plane. The three main body planes are sagittal, frontal, and transverse, each dividing the body into different sections to facilitate anatomical description and analysis.

An imaginary line drawn through the body to separate it into sections and create directional terms is called a body plane. Body planes are used as a reference to describe the position and direction of body structures. They help in understanding anatomical relationships and movements within the body.
There are three main body planes commonly used in anatomy:
1. Sagittal plane: This plane divides the body into left and right halves. It runs vertically from front to back, creating a right and left side. An example of a sagittal plane is the midline that separates the nose into two equal halves.
2. Frontal (coronal) plane: This plane divides the body into front (anterior) and back (posterior) portions. It runs vertically from side to side, creating a front and back side. For instance, a cut across the chest from shoulder to shoulder would be in the frontal plane.
3. Transverse (horizontal) plane: This plane divides the body into upper (superior) and lower (inferior) parts. It runs horizontally, creating an upper and lower section. A transverse plane could be represented by a line drawn across the waist.
By using body planes, medical professionals can accurately describe the location, orientation, and movement of body structures. Understanding these planes is essential for effective communication in healthcare and anatomical studies.
In conclusion, an imaginary line drawn through the body to separate it into sections and create directional terms is called a body plane. The three main body planes are sagittal, frontal, and transverse, each dividing the body into different sections to facilitate anatomical description and analysis.

To know more about anatomical visit:

https://brainly.com/question/28425819

#SPJ11

* This rock's formation likely resulted from changes in temperature / pressure.

pleas no links i just nee help
(heres the photo to the question)​

* This rock's formation likely resulted from changes in temperature / pressure.pleas no links i just

Answers

Answer:

Temperature

Explanation:

it looks like lava, and inorder for it to become lava it was melted at a high temperature.

Write the equation for cell respiration in word form and molecular formula.

Answers

Answer:

The formula for cellular respiration is: glucose and oxygen result in carbon dioxide, water, and ATP (energy; adenosine triphosphate). In its molecular format, you would say: C₆H₁₂O₆ + 6O₂ = 6CO₂ + 6H₂O + ATP.

what do you think is the most important scientific discovery we humans have made?

Answers

Answer:

THE MOON

Explanation:

you did not give a time era

Confidential sources spotted her eyeing relics at boudhanath in.

Answers

Boudhanath is a UNESCO World Heritage Site in Kathmandu, Nepal, known for its stunning Stupa and rich history. It is also a popular destination for tourists and locals alike to buy traditional and religious artifacts.

However, the context of the statement "Confidential sources spotted her eyeing relics at boudhanath in" is unclear, and it is difficult to determine who "she" is and what specific relics were being looked at. Without more information, it is challenging to provide a more comprehensive answer. Nevertheless, it is essential to respect the privacy of individuals who visit sacred sites like Boudhanath and recognize the importance of preserving cultural heritage.

To know more about World Heritage Site visit:

https://brainly.com/question/14659022

#SPJ11

is RNA an ezyme that belongs to a larger class of molecules

Answers

Answer:

nucleic acids

Explanation:

nucleic acids macromolecules made out of units call nucleotides come in two naturally occurring varieties deoxyribonucleic acid (DNA) and ribonucleic acid (RNA)

i hope this helps

What are some real-life examples of when you want to keep heat energy from being lost to the environment?
PLEASE HURRY IT'S DUE TODAY

Answers

Answer:

the real life example is our body heat when we weat coats or jackets in winters

a fatty acid in which ALL carbons in the hydrocarbon tail are connected by single bonds

Which one of these matches this

a fatty acid in which ALL carbons in the hydrocarbon tail are connected by single bonds Which one of

Answers

A fatty acid is referred regarded as being saturated if there are only single bonds between nearby carbons in the hydrocarbon chain.

(Fatty acids are saturated with hydrogen; in a saturated fat, the carbon skeleton is connected to as many hydrogen atoms as is feasible.)

How do saturated and unsaturated fatty acids differ?

In terms of the number of double bonds in the fatty acid chain, saturated and unsaturated fat differ from one another. When compared to unsaturated fats, which include at least one double bond in the fatty acid chain, saturated fats do not contain double bonds between the individual carbon atoms.

The body cannot produce omega-3 fatty acids, a particular form of fat. Because they are a necessary fat, they are required for survival. We obtain the necessary amounts of omega-3 fatty acids from the meals we eat.

The atoms in lipids are joined by non-polar covalent bonds. The hydrophobic property of lipids prevents them from combining with water. As a result of all the lipids' links between carbon and hydrogen

Learn more about fatty acid refer

https://brainly.com/question/17352723

#SPJ13

a population of interbreeding birds has been split by a geological event after which the isolated part of the population started to evolve into an incipient species with different mating rituals. due to a recent environmental change the two populations are now able to potentially mate again in what is called a hybrid zone. mating does take place every now and then but the hybrid offspring appear less able to survive. as a consequence, mating rituals start to diverge even further. we call this process of continued divergence? group of answer choices stability reinforcement behavioral isolation fusion postzygotic isolation

Answers

The process of continued divergence in this scenario is called reinforcement.

Natural selection works to prevent hybridization between divergent populations through a process known as reinforcement, which leads to the emergence of interbreeding barriers and greater population divergence. In this instance, the environmental change has made it possible for the two previously separated populations to interact once more. However, the hybrid offspring are less likely to survive, which encourages selection against hybridization and the development of novel mating rituals, leading to the populations' continued divergence.

Understanding population dynamics necessitates being aware of the many influences that dispersal, productivity, and survival have on population growth. This is crucial for the preservation of tiny, recently established populations since stochastic births and deaths could have a negative impact on their growth or possibly cause them to go extinct.

To know more about reinforcement click on the below link:

brainly.com/question/5162646

#SPJ4

Identify a 5'+3' sequence of nucleotides in the DNA template strand for an mRNA coding for the polypeptide sequence Phe-Pro-Lys.
A) 5'-UUU GGG AAA-3' B) 5'-GAA CCC CTT-3' C) 5'-AAA ACC TTT-3' EC#1.
D) 5'-CTT CGG GAA-3' E) 5'-AAA CCC UUU-3' EC#2

Answers

Since the supplied sequence is complimentary and organized in reverse order, it is the DNA template strand.5'-UUU GGG AAA-3' (optionA).

What does DNA do and what is it used for?

DNA is the information molecule. It contains blueprints for constructing other enormous molecules known as proteins. These instructions are spread out among 46 big, drawn-out things within each of your cells that are called chromosomes.

Where can you discover DNA in the human body?

DNA polymerase is DNA. The location, which involves the combination, is in the cell's nucleus. As a result, DNA may be viewed as one of the structural elements of the human body.

To know more about DNA visit:

brainly.com/question/264225

#SPJ4

what creates surface tension biology

Answers

Answer:

Surface tension in water owes to the fact that water molecules attract one another, as each molecule forms a bond with the ones in its vicinity. ... This inward net force causes the molecules on the surface to contract and to resist being stretched or broken.

Explanation:

Answer:

Hmm.

Explanation:

Surface tension in water owes to the fact that water molecules attract one another, as each molecule forms a bond with the ones in its vicinity. This inward net force causes the molecules on the surface to contract and to resist being stretched or broken.

explain the role of diaphragm in the process of breathing​

Answers

Answer:

The diaphragm muscle contacts and relaxes to force the intake and expulsion of air from the lungs.

Explanation:

The diaphragm is a large, dome-shaped skeletal muscle. It is very thin, and is located at the base of the chest just above the abdomen. It plays a very important role during respiration or breathing by forcing the intake and expulsion of air from the lungs.

During inhalation, this muscle contracts, and flattens- in the process, a vacuum is created, effectively pulling air into the space. In exhalation the muscle relaxes, and is no longer flattened, this reduces the volume of the region, forcing air out of the lungs. These contractions occur rhythmically and continuously.

explain the role of diaphragm in the process of breathing

What type of microscope would you use to view a live sample?
1. Scanning Electron Microscope
2.Transmission Electron Microscope
3.Magnifying glass
4. Light Microscope

Answers

Answer:

Compound microscopes

Compound microscopes are light illuminated. The image seen with this type of microscope is two dimensional. This microscope is the most commonly used. You can view individual cells, even living ones.

Describe the type of plate movement that is occurring where subduction zone volcanoes are found.

Answers

Answer:

Convergent boundary

Explanation:

It's when the plates move together and subduction occurs when one plate moves underneath another on a convergent boundary. Volcanoes are found there.

P.S. Brainliest, please?

A nurse is caring for a client with a cerebral aneurysm. which nursing interventions would be most useful to the nurse to avoid bleeding in the brain? select all that apply.

Answers

A nurse is caring for a client with a cerebral aneurysm and voiding the bleeding in the brain, she will monitor closely for neurologic deterioration and maintain a neurologic flow record, and she will check blood pressure, pulse, level of consciousness, pupillary responses, and motor function hourly and report changes immediately.

A cerebral aneurysm is also known as a brain aneurysm or intracranial aneurysm. A cerebral or intracranial aneurysm is an irregular focal dilation of an artery nerve in the brain of human that results from a weakening of the inner-muscular layer. There are also some complications like Bleeding in the brain, Cerebral vasospasm, Focal seizures, etc.

Focal Seizures occur when nerve cells in the brain send out sudden, excessive, uncontrolled electrical signals.

Learn more about cerebral aneurysm here

brainly.com/question/11991539

#SPJ4

explain why adding protons to the treated mitochondria increase ATP synthesis?​

Answers

Answer:

Because protons are no longer being used to power the ATP synthase, the proton gradient is not dissipated; the increasingly steep proton gradient makes it increasingly difficult for the electron-transport proteins to pump protons out of the matrix, and electron transport quickly stops.

Explanation:

Hope this helped!

Mitochondria are the power-house of the cell, which are primarily involved in the synthesis of Adenosine Triphosphate (ATP). The synthesis of ATP is mediated by the proton pump and electron transport chain.

The protons generate the gradient, which is produced by the proton-pumping during the electron transport chain. The increase in the mitochondrial ATP production is mediated by the activated SIRT1 and AMPK.

The protons then flow down the concentration gradient into the matrix through ATP synthetase, a membrane protein.

The gradient will cause the spinning and catalyze the conversion of ADP into ATP.

Therefore, the metabolic machinery of the ATP synthesis in the mitochondria will be increased due to the proton pump.

To know more about mitochondria and ATP synthesis, refer to the following link:

https://brainly.com/question/18757196

Bio on edge!!!
Identify the terms using the following picture:

A purple sweet pea is shown.
-Item 1 is purple.
-Item 2 is PP.

Item 1 can be described as the ______ (genotype or phenotype)
Item 2 can be described as the ______ (genotype or phenotype)
The "p" represents _____ from one parent. (an allele or a trait)

Bio on edge!!!Identify the terms using the following picture:A purple sweet pea is shown. -Item 1 is

Answers

Answer: B.) ✔ phenotype

A.) ✔ genotype

A.) ✔ an allele

the next answers are : dominant, recessive, and B.) ✔ recessive

Explanation: i hope this helps :)

Item 1 can be described as the phenotype.

Item 2 can be described as the genotype.

The "p" represents allele from one parent as shown in a purple sweet pea is shown.

What is the sweet pea?

The Sweet pea has been known as the plant breed of a pea, and it has been of two types, white flower pea, and purple flower pea. Peas are green-colored, small spherical vegetables.

The Phenotype has the physical characteristics of a plant or animal that are shown in the outer and are used to identify the plant. These are color, shape, etc.

Genotypes are the genetic characteristics of a plant or animal. These characteristics are the internal traits, like growth, production, etc. They are transferred to the next offspring.

Alleles are the variations of the genes. They are of two types, dominant and recessive. These show the two characters of the same gene that are transferred in net generations.

Therefore, Item 1 can be described as the phenotype.

Item 2 can be described as the genotype.

The "p" represents allele from one parent as shown in a purple sweet pea is shown.

Learn more about allele on:

https://brainly.com/question/14756352

#SPJ2

How can a molecule that contains an atom of phosphorus be made radioactive using an unstable isotope?

Answers

Answer:

A radioactive (unstable) phosphorus isotope is made to replace a nonradioactive isotope of phosphorus in the molecule

Explanation:

Phosphorus has both unstable (radioactive) and stable isotopes. In any compound that contains phosphorus, the phosphorus atom present may be either a stable isotope of phosphorus or an unstable isotope of phosphorus.

However, if the molecule contains a stable nonradioactive isotope of phosphorus, it is possible to convert this isotope in the molecule to the unstable radioactive isotope by carefully carrying out exchange reactions in which the phosphorus isotope replaces the nonradioactive isotope in the molecule.

This is usually done in order to create radioactive tracers which are used to study chemical reactions and biochemical processes.

Reducing, reusing, and recycling are used to make more ores. increase metal production. burn fossil fuels. conserve resources.

Answers

Answer:b

Explanation:

b

Answer:

it’s b

Explanation:

it’s just b


1. If the temperature of the water increases from 5°C to 10°C, the goldfish in Population 1 would most likely

Answers

Answer:

hot water make it hard for fish to breathe

Explanation:

an increase in temperature of water will  reduced the dissolved oxygen in water and increase the metabolic rate of goldfish thus causing goldfish respiration rate

Deer eat grass. What term describes the ecological relationship between deer and grass?

a) competitive
b) mutualistic
c) symbiotic
d) predation

PLEASE GIVE DIRECT ANSWER!!

Answers

Answer: Here in this the answer will be  d) predation

Explanation: As in predation one organism kills or feeds upon the other species.

To learn more about predation

https://brainly.com/question/13148843

Answer: D) Predation

Explanation: Predation is an interaction in which one organism ,the predator eats all or part of the body of another animal, the pray.

Food Chain Deer are herbivores, meaning they eat leaves and plants. Herbivores are often intermediate links in the food chain. They get their energy by eating grass or leaves, but are themselves a food source for predators.

students sometimes see f1 offspring with unexpected phenotypes. what is an unexpected phenotype and discuss how these results may have occurred. what you would need to do to complete the experiment if you scored flies with unexpected phenotypes?

Answers

A phenotype that deviates from the expected ratio based on Mendelian inheritance patterns is known as an unexpected phenotype.

For instance, the expected phenotypic ratio of the F1 generation in a monohybrid cross between two heterozygous individuals (Aa x Aa) would be 3:1. However, an unexpected phenotype may be identified if the observed ratio differs significantly from the expected ratio.

Why does a phenotype appear out of the blue?

Unexpected phenotypes can occur for a variety of reasons. Genetic mutations or epigenetic alterations that alter the expression of genes are one possibility. The phenotype of the offspring may also be affected by environmental factors like temperature or nutrition.

If you scored flies with strange phenotypes, what would you do to finish the experiment?

It is essential to finish the experiment, carry on the crosses, and observe the phenotypes of subsequent generations. This can assist in determining whether the unexpected phenotype is the result of a more complicated inheritance pattern or a trait that is dominant or recessive.

Learn more about inheritance :

brainly.com/question/766968

#SPJ1

Other Questions
_____ animals are raised and killed for food every year.Cell based/cultivated meat would require ______animals to be raised and killed year.a. 70 billion, 500b. 2 billion, 0 c. 10 billion, 5 billiond. 70 billion, 0e. 8 million, 8 million 1. Write a procedure called Power that will calculate integer powers of integer numbers. In other words, it will calculate xy given that both x and y are integers. how many days does it take for a property to be permanently deleted once you have deleted it from your analytics account? i need help with this A 45 kg figure skater is spinning on the toes of her skates at 1.1 rev/s. Her arms are outstretched as far as they will go. In this orientation, the skater can be modeled as a cylindrical torso (40 kg, 20 cm average diameter, 160 cm tall) plus two rod-like arms (2.5 kg each, 71 cm long) attached to the outside of the torso. The skater then raises her arms straight above her head. In this latter orientation, she can be modeled as a 45 kg, 20-cm-diameter, 200-cm-tall cylinder.What is her new rotation frequency, in revolutions per second? The cardiovascular and respiratory systems interact to A. send and receive messages to and from all parts of the body. B. digest and transport food to cells in all parts of the body. C. transport and exchange gases needed by cells in all parts of the body. D. sense and react to changes in the environment. Iridium Bank, a bank headquartered in Australia reports the following balance sheet (in billions AU$). Liabilities Assets Cash 10 Deposits 70 Government securities 20 Short-term CDs 5 Retail loans 40 ASAP BRAINLIEST IF RIGHT 30 POINTS NO NEED FOR WORKAt a restaurant, diners earn 1 point for every $2 they spend, plus 25 bonus points on their first meal. Function f represents the number of points earned as a function of the total amount spent x. Which function represents the total amount spent as a function of the number of points earned? A. f1(x) = 2x 50 B. f1(x) = 2x + 50 C. f1(x) = 0.5x 50 D. f1(x) = 0.5x + 50 1. assuming the company has no alternative use for the facilities that are now being used to produce the carburetors, what would be the financial advantage (disadvantage) of buying 17,000 carburetors from the outside supplier? -10-7. A total of 14 people visit a website on the day it launches. The number of visitors doubles every dayfor the next 7 days. (5 points)a. Write the function, f(x), that represents the number of visitors x days after the website launches.Hint: There are 14 visitors when x = 0 days. (2 points)b. How many visitors are there 7 days after the website launches? Show your work. (2 points forthe correct answer with work shown)c. Would you expect this growth to continue forever? Why or why not? (1 point) Help me in these equation please![tex] {6}^{2} + {10}^{2} = {c}^{2} [/tex] :Q3) For the following data 50-54 55-59 60-64 65-69 70-74 75-79 80-84 7 10 16 12 9 3 Class Frequency 3* :c) The median is 73.6667 O 75.6667 77.3333 79.3333 none of all above The Appalachian Trail is about 2,175 miles long.If Katia averages 18 miles each day, how long will it take her to hike the length of the trail? You start with the equation 5z=20. Your friend changes the left side as follows.5z+2= ?What should you do to the right side so a solution of the original equation is also a solution of the new equation?1. Add 2 to 20.2. Subtract 2 from 20.3. Add 5z to 20.4. Subtract 5z from 20 Which of the following structures are part of the respiratory system? Select all that apply. Question 1 options: Larynx Bronchi Pharynx Pancreas f they provide 5 computers (not necessarily the answer to part a) how many attendees on average will be waiting for a computer? assume all cvs are 1. Recall that, fixed a set U (which we call the universe of discourse), we have certain operations on subsets of U so that, for all A, B, C CU the following equivalences and equalities hold. >> AC BUC, ABCC CCAB >> CnACB, A" = A, (AUB)* = A*n B', (An B)* = A*UB*. ACB B'CA, You can answer just one of the following parts, not both. You can support your answer with drawings of Venn diagrams, but you need to give an argument according to the specifications for full credit. (a) Prove that for any given sets A, BCU, we have that B\A= (AB)* using only the above equations and equivalences. (Hint: Notice that two sets X, Y CU are equal if and only if, for every CCU, we have XCC YCC.) (b) Prove that for any given sets A, BCU, we have that B* A* = (AB)* using the definitions of the operations (). \, and in terms of the elements of U, A, and B. Odessa and Daxton are making a table that is 3 1/3m high and has an area of 32m2. What is the width? Answer both questions in a small paragraph each. Use one sourcefrom the textbook.1.Who freed the slaves?2.How did American democracy change in the 1820 The function y=1000 + 125x can be used to determine the total cost indollars for lawyer fees of x hours. What is the rate of the total cost indollars with respect the number of hours? *