A cup of green tea contains 49 mg of caffeine when you are using the tea leaves for the first time. A cup from the second brew contains 18 mg of caffeine, while a cup from the third brew contains only 5 mg of caffeine. Caffeine leaves the body at a continuous rate of about 17% per hour. Does the initial amount of caffeine in the body (whether from the first, second or third brew) change the differential equation

Answers

Answer 1

The initial amount of caffeine in the body, whether from the first, second, or third brew, does not change the differential equation. The rate at which caffeine leaves the body remains constant at approximately 17% per hour.

The differential equation governing the rate of change of caffeine in the body is not affected by the initial amount of caffeine consumed. The rate at which caffeine leaves the body is determined by the elimination rate, which remains constant. Let's assume C(t) represents the amount of caffeine in the body at time t. The differential equation describing the rate of change of caffeine is given by:

dC/dt = -k * C(t)

where k is the elimination rate constant. In this case, the elimination rate is approximately 17% per hour, so k = 0.17. The initial condition, such as the initial amount of caffeine consumed from the first, second, or third brew, is represented by C(0). However, this initial condition does not affect the differential equation itself.

Regardless of the initial amount of caffeine consumed, the rate of change of caffeine in the body will follow the same equation, and the elimination rate will remain constant. The initial condition only determines the value of C(0) at the start of the differential equation, but it does not alter the equation itself.

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Related Questions

write any four advantages of living in a community​

Answers

Answer:1)There are people to help you out with some problems 2)They people look out for each other.3)Companionship:people will mix with others and bond with them and make friends.4)People learn things from each other.

Explanation:

Before the Bill of Rights to the constitution could not be amended or changed?? True or false

Answers

Answer:

True

Explanation:

I say true because, before the bill of rights, it was said the Consitution did not need a bill of rights. But, James Madision made them put the bill of rights into act. If they did not want to add the bill of rights, thay may not have wanted to add anything else.

Hope this helps!

How does mechanical weather affect rocks?

A. Mechanical weathering can cause rocks to melt.
B. Mechanical weathering can relocate rocks to different locations.
C. Mechanical weathering can cause rocks to break apart into sediments.
D. Mechanical weathering can change rocks into a different material.

Answers

Answer:

Mechanical Weathering

Explanation:

Also called Physical Weathering and disaggregation, causes rocks to crumble. Water, in either liquid or solid form, is often a key agent of mechanical weathering. For instance, liquid water can seep into cracks and crevices in rock. It slowly widens the cracks and splits the rock

So C. Mechanical weathering can cause rocks to break apart into sediments. is the Correct

Mechanical weathering

which of the following statements about lobbyists are true? correct answer(s) drag appropriate answer(s) here lobbyists are often former staffers or members of congress. press space to open lobbyists help build legislative coalitions. press space to open lobbyists testify at committee hearings. press space to open lobbyists often draft legislation. press space to open incorrect answer(s) drag appropriate answer(s) here

Answers

All statements about lobbyists listed are true i.e.

Lobbyists are often former staffers or members of Congress. (True)

Lobbyists help build legislative coalitions. (True)

Lobbyists testify at committee hearings. (True)

Lobbyists often draft legislation. (True)

The following statements about lobbyists are true:

1. Lobbyists are often former staffers or members of Congress: This experience provides them with valuable knowledge about the legislative process and helps them navigate the political landscape effectively.

2. Lobbyists help build legislative coalitions: They work to bring together diverse groups of stakeholders, such as businesses, nonprofits, and other organizations, to support specific policies or legislation.

3. Lobbyists testify at committee hearings: They provide expert testimony and share their perspective on the impact of proposed legislation, representing the interests of their clients.

4. Lobbyists often draft legislation: They use their expertise to write detailed policy proposals that address their clients' needs and comply with legal requirements. This allows legislators to consider well-crafted proposals, facilitating the legislative process.

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What does Inaugural Chair tell you about how George Washington saw his role as President?

Answers

Answer:

He thought that it was remarkable, The birth of a new courntry.

Explanation:

In order to qualify for financial aid, prospective college students must file their _____________.
a. FAFSA
b. Financial aid letter
c. PSAT, SAT, or ACT scores
d. Parent’s credit score

Answers

In order to qualify for financial aid, prospective college students must file their FAFSA . So the correct option is A .

Fafsa is required. To be eligible for federal FAFSA funds, you must fulfil the following criteria: Be a citizen, permanent resident, or eligible noncitizen of the United States.

You must have a current Social Security number. Prove your financial necessity (requirements may vary)

The Free Application for Federal Student Aid (FAFSA) is an online form that assesses financial aid eligibility. Students who do not file the FAFSA are ineligible for any government assistance, including grants, loans, and work-study.

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Schor conducted a study of women's lipstick preferences. in her study she found that there was ______ variety in the price of lipstick.

Answers

Schor conducted a study of women's lipstick preferences. in her study she found that there was wide variety in the price of lipstick.

Juliet B. Schor  is an economist and Sociology Professor at Boston College. She has studied trends in working time, consumerism, the relationship between work and family, women's issues and economic inequality, and concerns about climate change in the environment.

Lipstick is a cosmetic that applies color, texture, and protection to the lips. Many colors and types of lipstick exist.

Ancient Sumerian and Indus Valley men and women were possibly the first to invent and wear lipstick  about 5,000 years ago.

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What values and
ideals helped America move beyond such conflicts?

Answers

Answer:

well they have not move on yet they are just going forward and not thinking about the past and whats going on now because it might hurt america.

How do forces occur?​

Answers

Answer:

Forces occur in pairs.

Explanation:

When one body pushes against another, the second body pushes back just as hard.

"Women employment and opportunities of income generating activities leads to quality of life" justify the statement with suitable examples.​

Answers

Quality of life means living life with happiness and satisfaction.

To attain quality of life in family/society,women should be employed.They should be given freedom and right to study,take part in family planning,be employed etc.if there's no women being employed in a family,then the family can never have quality of life.women should be given job opportunities so they than fulfill their needs .

women having employment and opportunities helps to have quality of life

which of the following is an example of intangible property? group of answer choices books securities cars land clothing

Answers

Intangible property refers to non-physical assets that hold value, but cannot be touched or seen. Out of the options provided, books, securities, and clothing are tangible assets as they can be seen and touched. Cars and land are also tangible assets as they have physical presence and can be measured and occupied.

Therefore, the only example of intangible property among the given options is "securities". Securities refer to financial instruments like stocks, bonds, and options, that represent a share in ownership or a debt obligation of a company or government entity.

These financial instruments hold value and can be bought and sold, but they have no physical presence. Understanding the difference between tangible and intangible property is crucial in various legal and business contexts, including taxation, estate planning, and intellectual property law.

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Explain the Thomas Theorem. What does the Thomas Theorem suggest about reality? What would the Thomas Theorem suggest about the legitimacy of Santa Claus? How would the Thomas Theorem explain the belief in Santa Claus? Is the belief legitimate? Explain?

Answers

Answer and Explanation:

The Thomas Theorem shows that reality totally depends on people's beliefs about it. That's because the Thomas Theorem claims that if people define something as real, that "something" will be real within its own circumstances. In this case, the Thomas Theorem claims that belief in Santa Claus makes it real, within very specific circumstances and we can recognize this, as during Christmas we see Santa Claus in so many places that this vision creates a circumstance,where it becomes real.

In this case, the Thomas Theorem shows that the popular use of Santa Claus supports the belief that revolves around it, which makes the belief legitimate and palpable, mainly because it is a belief that no one disputes.

Which Robber Baron controlled all
aspects of the steel
manufacturing industry?
A. John D. Rockefeller
B. Andrew Carnegie
C. Jay Gould
D. J.P. Morgan

Answers

I think it’s J.P Morgan
The answer is Andrew Carnegie

The initial growth of Pan-African sentiments was a reaction to what?​

Answers

Answer:

The growth of Pan-African sentiments in the late nineteenth century can be seen as both a continuation of ethnic, or "pan-nationalist," thinking and a reaction to the limits of emancipation for former slaves in the diaspora and European colonial expansion in Africa.

Explanation:

Answer:

B

Explanation:

and but the chosses on there next time

the more at ease you are sharing silence in a relationship, the more comfortable you are together. T/F?

Answers

The given statement " the more at ease you are sharing silence in a relationship, the more comfortable you are together" is true because in some cases, being able to share silence with someone can be a sign of a strong and comfortable relationship.

When two people are at ease with each other, they may not feel the need to talk at every opportunity. They may be pleased to simply be in each other's company and enjoy each other's presence without feeling obligated to continuously converse or engage in activities.

This is especially true in long-term partnerships, where couples may have exhausted many formerly novel and exciting areas of discourse.

In contrast, silence can be awkward or uncomfortable if two people are uncomfortable with each other or don't know each other well. To avoid the discomfort of silence, they may feel compelled to fill it with small talk or other dialogue.

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F increased pollution is the cause of the black-footed ferret disappearance, what should the data from the region show? a. after the pollution levels went up, the ferret population decreased. b. after the pollution levels went up, the ferret population increased. c. after the pollution levels went up, the ferret population remained the same.

Answers

Increased pollution can degrade the ferret's habitat, impacting their shelter, breeding, water sources, and prey availability, leading to population decline. so the correct answer is option (b).

When pollution levels increase, it can result in the degradation of the ferret's habitat. For example, air pollution can lead to the destruction of vegetation, making it harder for the ferrets to find suitable places for shelter and breeding. Water pollution can contaminate their water sources, impacting their ability to find clean drinking water.

Furthermore, increased pollution can also affect the availability of prey species for the ferrets. For instance, if pollution contaminates the soil or water, it can harm the populations of small mammals that the ferrets rely on for food. This can lead to a decrease in the availability of prey, making it harder for the ferrets to survive and reproduce.

Therefore, if F increased pollution is the cause of the black-footed ferret disappearance, the data from the region should show that after the pollution levels went up, the ferret population decreased.

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Question 8 Researchers in cognitive psychology and sensation perception are sometimes called O pseudoscientists. experimental psychologists. O structuralists. O paleontologists.

Answers

Experimental psychologists are sometimes used to describe people who study cognitive psychology and sensation perception. Option B is correct .

The capacity to actively collect, process, and make sense of the information that our senses receive is called perception. Using the stimuli received by our sensory organs, the cognitive process enables us to interpret our surroundings.

The process by which we determine the meaning of information from our surroundings is called perception. Perceptual systems involve determining what a stimulus is, whereas sensation typically involves sensing its existence.

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Complete question as follows :

Researchers in cognitive psychology and sensation perception are sometimes called

A. pseudo scientists.

B. experimental psychologists.

C.  structuralists.

D. paleontologists.

What do Defense Counterintelligence and Security Agency do?

Answers

The Defense Counterintelligence and Security Agency (DCSA) is the security and counterintelligence arm of the U.S. Department of Defense (DoD). Its mission is to ensure that the DoD maintains the security of its personnel, information, and facilities, and to protect against unauthorized disclosure or exploitation of sensitive information.

DCSA is responsible for conducting background investigations for personnel with access to classified information, conducting security inspections of DoD facilities and personnel, and providing counterintelligence and security services to DoD components and other U.S. Government agencies.


It is responsible for executing background investigations, security clearance adjudications, and providing security education and training. The Defense Counterintelligence and Security Agency (DCSA) has been established to oversee the Defense Security Service (DSS) and carry out various security functions related to personnel vetting, counterintelligence, and the protection of DoD assets and technologies.

The DCSA mission is to provide efficient and effective security and counterintelligence services that safeguard the DoD personnel, assets, and information as well as the country’s industrial and technological base.

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explain the historical circumstances that led to the development of john locke’s ideas in this excerpt from his book two treatises of government.

Answers

Locke's ideas were a product of a political and intellectual climate, which was shaped by the historical events of the seventeenth century, including the English civil wars.

John Locke’s ideas were developed by historical circumstances which included the English civil wars of the seventeenth century. The civil war period had begun in 1642, during which the king and parliament were locked in a struggle over power. In 1649, the king, Charles I, was executed. The country was then declared a republic, which was governed by Oliver Cromwell. However, this only lasted for a short time, and in 1660, Charles II, the king’s son, was restored to the throne.

The civil war had various effects on the society which led to the development of John Locke's ideas. The war gave birth to a wide range of intellectual debates about the role of government in society. This, in turn, led to a political discourse on what exactly a government should be doing, and why it should be doing it. The monarchy was not the sole way of thinking about how to govern a country, and other forms of government were emerging.

The English civil wars raised critical questions about the role of the state in society. These questions, together with the political circumstances of the time, formed the backdrop to the development of John Locke's ideas. Locke’s Two Treatises of Government, which was published in 1690, addressed these issues directly and was written in response to the existing government policies.

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which of the roles described below is more an informal role than a formal role?

Answers

The "taskmaster" role was played by Kathleen because of her capacity to stay on task and avoid becoming distracted by chitchat and trivial conversation.

The British comic panel game show Taskmaster was founded by musician and comedian Alex Horne, and it is currently hosted by both Horne and Greg Davies. In the show, a group of five celebrities, mostly comedians, compete to accomplish a number of tasks. Davies, the show's namesake "Taskmaster," judges the work and assigns points depending on participants' performances, while Horne serves as umpire for each task. Horne first developed the idea for the show in 2010 for the Edinburgh Festival Fringe. He later signed a contract with Dave to adapt it for television, and the first episode debuted in 2015. After the ninth season in 2019, Channel 4 bought the show and ordered six further seasons to air over the ensuing three years. Following Taskmaster's success on British television, countries like Belgium, Sweden, Spain, Denmark, Norway, Finland, New Zealand, Croatia, Portugal, and Quebec created their own versions of the program. Taskmaster also inspired two books and a board game (as of 2022).

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Which political party did former US President Theodore Roosevelt establish?

Which political party did former US President Theodore Roosevelt establish?

Answers

The Progressive Party (often referred to as the "Bull Moose Party") was a third party in the United States formed in 1912 by former president Theodore Roosevelt after he lost the presidential nomination of the Republican Party to his former protégé and conservative rival, incumbent president William Howard Taft.

Answer:

progressive party

Explanation:

what is the famous education center(Agrahara)of cholas?​

Answers

Answer:

Explanation: The most famous Chola Educational Centre or Agrahara was "uttaramerur".

esme's mom serves a big plate of steamed tofu because esme cleaned her room this weekend. esme doesn't ever clean her room again. in this situation, the tofu might be:

Answers

Esme's mom serves a big plate of steamed tofu because esme cleaned her room this weekend. esme doesn't ever clean her room again. in this situation, the tofu might be a punishment.

What is the purpose of psych?

Psychologists study the connections between brain function and behaviour, the environment, and behaviour, and use what they find to better understand and improve the world around us.

What is psych medical term?

Psychiatry is a medical specialty concerned with the diagnosis, treatment, and prevention of mental, emotional, and behavioural problems. A psychiatrist is a doctor of medicine who specialises in mental health.

Is psych an easy course?

Intro Psych will always be a challenging subject due to the complexity and breadth of the topic, but it may be even more difficult for you due to a lack of history and experience to relate all of this new stuff to.

Is a psych a therapist?

The term therapist is an umbrella term for all professionals in the field of psychotherapy, which means that all psychologists can be called therapists. But not all therapists are psychologists.

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TorF

Symbols are instrumental in helping people derive meanings from social situations. And social encounters, each person's interpretation or definition of a given situation becomes a subjective reality from that person's viewpoint

Answers

True. Symbols play a crucial role in helping individuals derive meanings from social situations.

These symbols can include language, gestures, and various forms of non-verbal communication. They act as a medium through which people convey their thoughts, beliefs, and emotions, allowing others to interpret and understand the underlying message in a specific context.

As individuals engage in social encounters, their personal experiences, beliefs, and cultural backgrounds influence their interpretation of symbols and the meanings they assign to them. This process creates a subjective reality for each person, as their understanding of a situation is shaped by their unique perspective.

In other words, people perceive and interpret social situations differently based on their subjective reality, which is constructed from their individual experiences and viewpoints. This highlights the importance of symbols as a means of facilitating communication and understanding in diverse social contexts, while also acknowledging that interpretations can vary significantly among individuals.

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According to the above pie chart, what color represents "Other Services"?
a.
Gold
b.
Blue
c.
Green
d.
Red
Please select the best answer from the choices provided

According to the above pie chart, what color represents "Other Services"?a.Goldb.Bluec.Greend.RedPlease

Answers

Answer:

the picture is really small but from what i can make out I think it's c. green

I’m pretty sure it’s c green

Which orgainization is recogized today as the authoritative voice of accountng principles?

Answers

The Financial Accounting Standards Board (FASB) recognized today as the authoritative voice of accounting principles.

The FSAB is an independent not-for-profit organization with a mandate to set accounting and financial reporting standards for firms and NGOs based in the United States. It sets the standard in line with generally accepted accounting principles (GAAP). It also imparts training to stakeholders on the concepts and use of these standards.

The GASB has a governing board of 7 full-time members. Each member is independent and compulsorily should not have ties with any organization or firm. They are appointed by the board of trustees of the Financial Accounting Foundation (FAF).

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(this is us government)

Identifying Consider the English political and legal heritage, including English common law and constitutionalism, republicanism, the Magna Carta, and the English Bill of Rights, and identify at least three reasons it was important to the Declaration of Independence and the founding of the United States.​

Answers

Answer:

Both the state declarations of rights and the United States Bill of Rights incorporated several guarantees that were understood at the time of their ratification to descend from rights protected by Magna Carta. Among these are freedom from unlawful searches and seizures, a right to a speedy trial, a right to a jury trial in both a criminal and a civil case, and protection from loss of life, liberty, or property without due process of law.

Explanation:

How different this school year is and how this will impact how you will view your high school career because of it.

Answers

Answer: you can either go to school virtually or in person or both, and if you aren't going to school everyday phycially you could miss out on things that you actaully need to know.  

Explanation:

you have a choice to either go to school virtually or in person or both, and if you aren't going to school everyday phycially you could do it online

uae contributing to the world for child care

Answers

this is a great statement

Answer:

The Initiatives of Dubai Women Establishment to produce National Child Care Standards and establish child care centres in the workplace supports the UAE Federal Strategy to improve the quality and standards of education, at all levels in the public and private sectors. The Initiatives of Dubai Women Establishment to produce these National Child Care Standards and to establish child care centres in the workplace, which were supported by the Executive Council of the Government of Dubai, aim to address two main objectives of the UAE Federal Strategy unveiled by H.H. Sheikh Mohammed Bin Rashid Al Maktoum, UAE Vice President and Prime Minister, and Ruler of Dubai. These standards apply to all child care services as defined in Federal law No. 5 (1983), including any premises dedicated to the care of children up to four years of age, including nurseries attached or annexed to a school.

Child care centres and nurseries in the workplace.Nursery Schools.Nurseries attached or annexed to a school Children Clubs receiving children aged up to 4 years for more than 4 hours per day.

18 million beneficiaries in 57 developing countries supported by Dubai Cares educational programs over the past 10 years.

Solve pls brainliest

Solve pls brainliest

Answers

The correct answer is wind
Wind.
Wind can alter and shape rocks through erosion over time, but it can not form them.

B. does make rocks form. Dissolved minerals in the ground water precipitate (crystallize) from water in the pore spaces forming mineral crusts on the sedimentary grains, gradually cementing the sediments, thus forming a rock.

C. also makes rocks form. Igneous rocks form when magma (molten rock) cools and crystallizes, either at volcanoes on the surface of the Earth or while the melted rock is still inside the crust. All magma develops underground, in the lower crust or upper mantle, because of the intense heat there.

D. makes rocks form, too. If there is too much heat or pressure, the rock will melt and become magma. This will result in the formation of an igneous rock, not a metamorphic rock. Consider how granite changes form. Granite is an igneous rock that forms when magma cools relatively slowly underground.
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The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increases by 10% in 10 years. what will be the population in 60 years? (Round your answer to the nearest person.) ______ persons How fast is the population growing at t = 607(Round your answer to two decimal places.) ______persons/yr Your contract with your mobile provider allows you to have up to three devices connected, tracked by IMEI. When you add a second device, how will you know what IMEI to enter The cost of renting a car is $85/wk plus $0.15/mi traveled during that week. An equation to represent the cost would be y = 85 + 0.15x, where x is the number of miles traveled. If your cost was $94.75, how many miles were you charged for traveling? Describe the behavior of the graph for a power function f(x) = kx^p, where 0 which of the following statements is true of a vegan diet? group of answer choices vegan children may not consume enough plant sources of protein to build bone and muscle tissue. the daily protein requirement in vegan children is less than that of meat-eating children. child-sized vegan servings are large Even as newborns, we prefer sights and sounds that facilitate social responsiveness. This can be seen by a newborn's preference for __________.A. soft musicB. face-like imagesC. low pitches soundsD. soft colorsE. loud music What they wereafter?SpainEngland jaquan washes cars for his neighbors on the weekends. jaquan uses the same amount of water for each car he washes. the points on the following coordinate plane show how much water jaquan uses for 2 22, 5 55, and 8 88 cars. a coordinate grid with the x-axis labeled cars and the y-axis labeled water, liters. the grid has points plotted at (2, 24), (5, 60), and (8, 96). a coordinate grid with the x-axis labeled cars and the y-axis labeled water, liters. the grid has points plotted at (2, 24), (5, 60), and (8, 96). how much water does jaquan use for 6 66 cars? PLS HELP!!! NEED IT BY THURSDAY!!!!1. If the measure of angle D= 162 and angle C= 122 Angle A = B=2. If the measure of angle D = 171 and angle C = 128 Angle A= B=3. If the measure of angle A = 22 and angle B = 35 Angle C= D=4. If the measure of angle A = 20 and angle B = 29 Angle C= D=P.S - I need two answers for the angles on each question pls. 1 Explain what Occum's Razor is ?2 How does it apply to statistics models?3 How can it be applied in problem-solving?4 Provide a practical application of the concept. the initial exposure to an allergen usually does not produce any symptoms. The symptoms usually appear in the second exposure. What events are occurring during this second exposure? In your description include the role of IgE, basophils, mast cells, and the allergen. Determine the exact values of the other trigonometric ratios for0 teta 180. Marisa va a ________ un viaje de diez das a Ecuador. (1 point)comerempacarplanificarpoder I WILL BRAIN IF YOU GET IT RIGHT!! find the measurement of each liquid in the graduated cylinders, and do not forget your UNITS!!! :) a thin spherical metallic shell of radius 2.31 cm is has a charge of -3.1 uc uniformly distributed on its surface. what direction does the electric field point at a distance of 4.2 cm from the origin? a. there is no electric field b. radially outward c. tangential to the surface d. radially inward (4) An airplane lands on a runway, and using its brakes it slows with uniform acceleration such that 25 seconds later it stops 1000m from where it started braking. (a) What was the average speed over the 25 seconds, in units of both meters per second (m/s) and miles per hour (mph) Which statements describes early humans? select ALL correct answers A. Hunter-gathers ate berries and nuts as part of their diet B. Early humans only used fire for cooking C. Early humans fashioned clothes out of animal skins and other products In international buying, the entity that makes a contract with the buyer and then buys the product in its name from the foreign supplier, takes title, delivers to the place agreed on with the buyer, and then bills the buyer for the agreed-on price, is a(n): Suppose the reaction temperature X (in C) in a certain chemical process has a uniform distribution with A = -7 and B = 7.(a) Compute P(X < 0).(b) Compute P(-3.5 < X < 3.5).(c) Compute P(-5 X 6).(d) For k satisfying -7 < k < k + 4 < 7, compute P(k < X < k + 4). Which of the following correctly describes the linkage that will be formed with the nitrogen base shown in the image below while building a strand of RNA? A) Two hydrogen bonds will form with uracil. B) Two glycosidic bonds will form with adenine. C) Three hydrogen bonds will form with guanine. D) Three glycosidic bonds will form with thymine.