What is the shortest time interval during which it is guaranteed that a(t)=400 for some time t in the interval? justify your answer.

Answers

Answer 1

The lowest time interval for which it is guaranteed that A(t) = 400 is 70 ≤ t ≤ 90.

What is Intermediate value theorem?The intermediate value theorem in mathematics states that any value between f(a) and f(b) at some point within the interval can be assigned to f if it is a continuous function whose domain contains the interval [a, b].This theorem is used to demonstrate that a point can exist below or above a specific line. It can also be used to determine if a function is continuous or not by analyzing its continuity.Calculation of time interval:

Because, A is diffrentiable, A, is continuous.

A(70) = 250<400<405 = A(90)

By the Intermediate Value Theorem, there must be at least one time t, for 70 ≤ t ≤ 90, such that A(t) =400.

Hence,  the shortest time interval during which it is guaranteed that A(t)=400 is 70 ≤ t ≤ 90.

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Related Questions

When using a heating curve to find out how much energy is associated with a particular process, one will need:__________

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When using a heating curve to find out how much energy is associated with a particular process, one will need specific heating of the surface.

What is a heating curve?

It is an instrument that show how the temperature changes as a substance is heated up. It is an opposite of the cooling curves which show how the temperature changes as a substance is cooled down.

However, in similarity to the heating curves, the cooling curves have horizontal flat parts where the state changes from gas to liquid, or from liquid to solid. But in conclusion, during the use of a heating curve to find out how much energy is associated with a particular process, one will need specific heating of the surface.

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Candidates pay for some of the transaction costs voters face in figuring out who to vote for by _____.

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Candidates "pay" for some of the transaction costs voters face in figuring out who to vote for by providing voters with an informational shortcut in the form of internally consistent ideologies.

What are voters?

The way and timing of revenue recognition are set forth by generally accepted accounting principles (GAAP). According to the accrual accounting concept, revenues must be recorded when they are earned and realized rather than when cash is received.

Because revenue can be recorded even if it hasn't been received, this is a crucial idea in accrual basis accounting. When an organization trades goods or services for money or other assets, revenues are realized or realizable.

Revenue is recognized when it is earned, not always when it is received. Revenues are frequently generated and received in the same transaction, as is the case when a customer makes an in-store retail purchase.

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The aspect of relationship leadership which includes building camaraderie, respect, trust, and regard between leaders and followers is ______.

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The aspect of relationship leadership which includes building camaraderie, respect, trust, and regard between leaders and followers is Consideration behavior

Attention behaviors encompass being supportive and pleasant, representing human beings' interests, speaking overtly with group members, spotting them, respecting their ideas, and sharing problems or their emotions. starting up shape entails “task-orientated” leader behaviors.

Consideration is the volume to which a pacesetter is a famous concern for the welfare of the participants of the group. This thing is orientated closer to interpersonal relationships, mutual consideration, and friendship. This leadership style is people-oriented.

Individualized consideration is the extent to which a frontrunner attends to each follower's wishes and is a mentor, instruction, or manual to the follower. This leader listens to the concerns and wishes of every follower and gives help and is empathic with everyone's state of affairs and background.

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In the case of little albert, the ______ was the neutral stimulus and noise was the ______.

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In the case of little albert, the white cat was the neutral stimulus and noise was the unconditioned stimulus.

An unconditioned stimulus is a stimulus that ends in an automated reaction. In Pavlov's test, the food changed into the unconditioned stimulus. An unconditioned response is an automatic reaction to a stimulus. The puppies salivating for meals is the unconditioned response in Pavlov's experiment.

What is the unconditioned stimulus instance?

The smell of a favorite food, which without delay makes you feel hungry. A feather tickling your nose, which causes you to sneeze. An onion's odor as you cut it, which makes your eyes water.

Is worry an unconditioned stimulus?

For instance, a bite (the unconditioned stimulus) conjures up worry and ache (the unconditioned response) reflexively. In other cases, the association is learned or conditioned. One manner this gaining knowledge of happens, is thru classical conditioning.

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A ________ is a procedure in which a clinician provides a formal evaluation of an individual's cognitive, personality, and psychosocial functioning

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A Psychological Assessment is a procedure in which a clinician provides a formal evaluation of an individual's cognitive, personality, and psychosocial functioning.

What is the primary goal of a psychological evaluation?

The aims of psychological evaluation are to better understand a person's strengths and limitations, to detect possible issues with cognitions and emotional reactivity, and to give treatment/remediation suggestions.

What are the various types of Psychological Assessment?

Attitude assessments such as the

Thurston Scale and the Likert Scale MMPI, MCMI-III, Beck Depression Inventory, and Child Behavior Checklist are examples of personality assessments.

The Rorschach exam, which is less commonly used, is also a personality test.

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What action is appropriate for a nurse to perform when an irregular radial pulse is palpated on a client?

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Count the pulse for a full minute for an accurate rate is appropriate for a nurse to perform when an irregular radial pulse is palpated on a client.

When a client's radial pulse is palpably erratic, it is appropriate for a nurse to count the pulse for a full minute at an accurate rate. The key distinction between apical and radial pulses is that radial pulses are felt at the wrist, but apical pulses are felt across the left side of your chest over your heart.

A blockage in the artery and the symptoms mentioned in the apical pulse might both be indicated by an abnormal radial pulse. All that is audible is the pulse's presence or absence, as well as its rate and character. Look at the space between the tendon and wrist bone.

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Who is responsible for managing the progress of work during a sprint?
a) the product owner
b) the scrum master
c) the most junior member of the team
d) the development team

Answers

The correct option is A. The product owner is responsible for managing the progress of work during a sprint.

Who is involved in a sprint?

A Product Owner outlines the specifics of the product backlog items and their related acceptance criteria, the Entire Agile Team defines the work and effort required to accomplish their sprint commitment, and the ScrumMaster leads the meeting. Sprint planning is a collaborative activity.

Simply put, it makes the four scrum events required. However, it should be highlighted that the goal of the extra meetings should be clear, and if they are not, reflection is required. The product owner is in charge of tracking progress toward the project goal.

Thus, A is the best choice. Managing the flow of work during a sprint is the responsibility of the product owner.

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What type of additional deposits are fairly common with new construction agreements?

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Earnest deposits are fairly common with new construction agreements.

Earnest money is a deposit paid to a seller to demonstrate a buyer's good faith in making a purchase, such as the purchase of a new home. The funds allow the buyer more time to obtain financing and complete the title search, property appraisal, and inspections prior to closing. Earnest money is similar to a down payment on a house, an escrow deposit, or good faith money in many ways. During the exchange of earnest money, a contract is written up that outlines the conditions for refunding the amount. Earnest money deposits can range between 1 and 10% of the sales price, depending on market interest.

Earnest money is typically delivered when a sales contract or purchase agreement is signed, but it can also be attached to an offer. When funds are deposited, they are typically held in an escrow account until closing, when they are applied to the buyer's down payment and closing costs.

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In which circumstances will strong leadership skills be most critical for a project manager?

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Under pressure, the project manager is highly motivated and set a positive example for the project team. These leadership skills are most critical for a project manager.

Who is a Project manager?

The primary responsibility for project planning, execution, monitoring, control, and closure falls to project managers. They are responsible for the entire project's scope, its team and resources, its budget, and its eventual success or failure. Or, An expert in project management is referred to as a project manager. Regardless of the industry, project managers are responsible for the planning, acquisition, and execution of any activity with a specified scope, defined start, and defined conclusion. In essence, a qualified project manager possesses the personality, knowledge, and experience required for the job. At least three years of experience in a comparable capacity, communication skills, formal training, and a PMP certification are typically needed.

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Cultural dimensions are long-standing sets of :_________.
a) stereotypes and values.
b) norms and stereotypes.
c) norms and values.
d) values and goals.

Answers

Cultural dimensions are long-standing sets of values and goals. Option D

This is further explained below.

What are values and goals?

Generally, In the fields of ethics and the social sciences, the term "value" refers to the degree to which something or action is important.

This is done with the intention of determining which actions are the best to do or what way of living is the best, as well as to describe the significance of various actions.

A person or a group of people might have a notion of the future or the desired outcome, which they then prepare for and commit to achieving in the form of a goal.

By establishing deadlines, people motivate themselves to achieve their objectives within a certain amount of time.

In conclusion, The cultural characteristics of a society are its enduring systems of values and objectives. The D Option

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With respect to measures of central tendency, the most frequently occurring score is to the average score as the _____ is to the _____.

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With respect to measures of central tendency, the most frequently occurring score is to the average score as the mode is to the mean.

What is referred to as central tendency?

The central tendency can be defined statistical measure that helps in the identification of a single value that would serve as the representative of the whole distribution.

The aim of this is to be able to give an accurate description of the whole data that has been collected. Hence we can say that With respect to measures of central tendency, the most frequently occurring score is to the average score as the mode is to the mean.

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Quilzet which resource(s) most likely provide(s) current, complete positive and negative information about a drug?

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The resource(s) most likely provide(s) current, completely positive, and negative information about a drug is Drug Facts and Comparisons, Pharmacists.

The most sturdy evidence highlights peer drug use, availability of medication, and additional elements of own family interplay, together with parental subject and circle of relatives concord, as considerable threat elements for drug misuse.

Pharmacists also referred to as chemists or druggists, are health professionals who address the preparation, houses, outcomes, and right use of medicines. Pharmacists offer pharmaceutical care to patients and sell public health with the aid of serving as fitness advisors and care carriers within the community.

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Disclaimer:- your question is incomplete, please see below for the complete question.

A. Drug sales representatives.

B. Drug Facts and Comparisons.

C. Internet Search.

D. Pharmacists.

Within the globe project, the nature of a culture's future orientation is described as ______.

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Within the globe project, the nature of a culture's future orientation is described as future orientation.

"Future orientation" is "the diploma to which a collectivity encourages and rewards destiny-oriented behaviors inclusive of making plans and delaying gratification" (house et al, 2004,p. 282).

Throughout improvement, future orientation is specifically essential at some stage in periods of fundamental modifications, for example in the course of the transition from formative years to maturity, when youth ought to make alternatives about social businesses, educational paths, as well as risky behaviors like drug and alcohol use, and sexual interest.

Being a destiny-oriented man or woman allows you to plot beforehand. on account that making plans is an important part of each task, focusing on the future simply enables you in reaching your dreams. you can mentally visualize each step of the method, are expecting possible boundaries, and envision your achievement.

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At what angle relative to the north-south direction should this bird head so that it will be traveling directly southward relative to the ground?

Answers

It is recommended that the bird flies at an angle that is about 23.58 degrees to the south and east relative to the ground in order to go in a direct line to the south.

This is further explained below.

At what angle relative to the north-south direction should this bird head so that it will be traveling directly southward relative to the ground?

Generally, It is possible to guide the speed of the bird in such a way that the resulting velocity of Both the bird and the wind is going to be blowing in a southerly direction.

In conclusion, The direction the bird should fly in, relative to the ground, in order to get straight southward is to an angle direction that is around 23.58 degrees to the south and east.

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CQ

Canada geese migrate essentially along a north–south direction for well over a thousand kilometers in some cases, traveling at speeds up to about 100 km/h. If one goose is flying at 100 km/h relative to the air but a 40-km/h wind is blowing from west to east,

(a) at what angle relative to the north–south direction should this bird head to travel directly southward relative to the ground?

What, according to democritus, explains the great variety of things in the world?

Answers

According to democritus reality is composed of atoms and the void.

Every solid, liquid, gas, and plasma is made up of neutral or ionised atoms, which are the smallest units of ordinary matter that make up a chemical element. Atoms are incredibly tiny, measuring typically 100 picometers across. Due to quantum effects, they are so small that it is impossible to predict their behaviour with sufficient accuracy using classical physics, as would be the case, for example, if they were tennis balls.

Each atom is made up of a nucleus and one or more electrons that are linked to it. One or more protons and a significant number of neutrons make up the nucleus. Only the most prevalent type of hydrogen is neutron-free. The nucleus of an atom contains more than 99.94% of its mass.

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Because we have our own cultures, stereotypes, primacy and recency effects, and perceptual sets, we:____.

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According to the information, the complete fragment would be: Because we have our own cultures, stereotypes, primacy and topicality effects, and perceptual sets, we have different perceptions.

What is a perception?

Perception is a term that refers to the way in which the brain of individuals interprets the sensations it receives through the senses to form an unconscious or conscious impression of the physical reality of its environment.

Perception is also modified by different experimental factors such as:

CultureStereotypesNew experiencesPrevious experiences

From the above, it can be inferred that individuals have the ability to create perceptions about our environment, other individuals, animals, plants and other elements from our senses, reason and our culture. So the full snippet would look like this:

According to the information, the complete fragment would be: Because we have our own cultures, stereotypes, primacy and topicality effects, and perceptual sets, we have different perceptions.

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Using a(n) ______ research method, a sociologist can exercise a good deal of control over the environment.

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Using an experimental research method, a sociologist can exercise a good deal of control over the environment.

A dependent variable's (the "effect") impact on an independent variable (the "cause") is the goal of experiments. Control of the variables, accurate measurement, and the establishment of cause-and-effect linkages are the main components of an experiment. The laboratory experiment, the field experiment, and the comparative method are the two primary types of experimental methods. An illustration of experimental sociological research is the Robbers Cave Experiment.

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When eight years old, to honor the seal of god's commandment to abraham, boys undergo the ritual ceremony of?

Answers

Answer:

the ritual of circumcision

Explanation:

im not too sure on thisbonebbut i think it is stated in Genesis 17: 9-10 that God commanded abraham and every male person in hisbhousehold to be circumcised for the covenant because it was a physical way of sealing the covenant with God.

The epic voyages of the chinese admiral zheng he, from 1405 to 1433, included ______.

Answers

The epic voyages of the Chinese admiral Zheng he, from 1405 to 1433, included, A fleet of over 300 ships.

Zheng He become a Chinese language mariner, explorer, diplomat, fleet admiral, and court eunuch throughout China's early Ming dynasty. He become at first born as Ma He in a Muslim circle of relatives and later adopted the surname Zheng conferred by using the Yongle Emperor.

What become Zheng He great recognized for?

Zheng He changed into the high-quality recognized of the Yongle emperor's diplomatic sellers. His voyages had the effect of extending China's political sway over maritime Asia for half a century.

How did Zheng He impact the sector?

Chinese Admiral in the Indian Ocean. inside the early 1400s, Zheng He led the most important ships in the world on seven voyages of exploration to the lands around the Indian Ocean, demonstrating Chinese language excellence at shipbuilding and navigation.

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What is a set of beliefs that appears to include scientific ideas, but does not follow basic rules of science?

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Pseudoscience is a set of beliefs that appears to include scientific ideas, but does now not observe primary rules of science.

Also a system of theories and methods that has some resemblance to a authentic science but that can't be viewed such.

Examples include astrology, numerology, and esoteric magic.

Is yoga a pseudoscience?

Yoga has once in a while been marketed with pseudoscientific claims for unique benefits, when it may additionally be no better than other forms of workout in these cases; and some claims for its effects on specific organs, such as that forward bends eject toxins from the liver, are totally unfounded.

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Scholars have been able to recover, with certainty, what percentage of the original content of the new testament?

Answers

Scholars have been able to recover, with certainty, Close to 99% percentage of the original content of the new testament

This is further explained below.

What are Scholars?

Generally, A person who engages in academic and intellectual pursuits is known as a scholar.

Scholars are often academics who turn their intellectualism into competence in a specific field of study.

An academic is another term for a scholar. An academic is someone who works in a university, often as a researcher, teacher, or professor.

In conclusion, Over ninety-nine percent of the original content that made up the New Testament has been pieced back together by academics, according to the best information that we currently have.

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Mr. boomer is receiving a laxative in the hospital. which laxative is available in a rectal form?

Answers

In a case whereby Mr. Boomer is receiving a laxative in the hospital the laxative that  is available in a rectal form is  Bisacodyl Lactulose Naloxegol Polyethylene glycol.

What are Laxatives ?

Laxatives  can be described as the  type of medicine  which is been used in the treatment of constipation.

It can be prescribed in a case whereby there is  increment in  the amount of fibre in ones  diet, as well as drinking plenty of fluid and taking regular exercise, , in the case above , it should be noted that  whereby Mr. Boomer is receiving a laxative in the hospital the laxative that  is available in a rectal form is  Bisacodyl Lactulose Naloxegol Polyethylene glycol.

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Continues to work at a minimum wage job (i.e. accepts institutionalized means for success) is considered to fall under which mode of individual adaptation?

Answers

Continues to work at a minimum wage job (i.e. accepts institutionalized means for success) is considered to fall under ritualism mode of individual adaptation.

The minimal amount of compensation that an employer is compelled to pay wage earners for the job completed during a certain period and that cannot be decreased by a collective agreement or an individual contract is known as a minimum wage.


American sociologist Robert K. Merton created the idea of ritualism as a component of his structural strain theory. It alludes to the widespread behaviour of going through the motions of daily life despite rejecting the objectives or principles that underpin those behaviors.

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__________ has the ability to target cells of the body that are infected with pathogens, while also responding to any pathogens that are free in the blood or interstitial fluid of the body.

Answers

A cell-mediated immunity has the ability to target cells of the body that are infected with pathogens while also responding to any pathogens that are free in the blood or interstitial fluid of the body.

What is a cell-mediated immunity?

This immunity refers to the body responses that involve the destruction of infected cells by cytotoxic T-cells or the destruction of intracellular pathogens by macrophages, that is, the activation of naive T cells in response to antigen and their subsequent proliferation and differentiation, constitutes a primary immune response towards an invader.

Therefore, it has the ability to target cells of the body that are infected with pathogens while also responding to any pathogens that are free in the blood or interstitial fluid of the body.

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When the sun's rays are directly overhead at the tropic of capricorn, it is ________.

Answers

In the Northern Hemisphere, when the sun's rays are directly overhead at the tropic of capricorn, it is winter solstice.

When does winter solstice occur?

The winter solstice mainly occurs when the sun is directly over the Tropic of Capricorn. It makes the shortest day and longest night of the year.

The winter solstice is also known as the hibernal solstice. It usually occurs when either of Earth's poles reaches its maximum pitch away from the Sun.

Basically, winter solstice happens twice yearly, once in the northern hemisphere, once in the southern hemisphere.

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What are firms assumed to maximize? under what constraints do firms perform this maximization

Answers

Firms are assumed to maximize their profits that is to say, profit maximization.

Profit maximization should occur when there is a significant gap or the biggest difference between the total revenue and the total cost.

A perfectly competitive firm attains maximization of profit when the marginal revenue is equal to the marginal cost.

The benefits of maximizing profit include:

Profit can be used to pay higher wages to owners and workers. (Note that, if firm has monopsony power, the profit may not be shared equally amongst workers).

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A death sentence that the u.s. legislature has required to be imposed upon people convicted of certain offenses is called a(n) _____

Answers

A loss of life sentence that the U.S. legislature has required to be imposed upon humans convicted of positive offenses is referred to as punishment.

U.S. legislature of the federal government of us. it is bicameral, composed of a decreased frame, the residence of Representatives, and an upper frame, the Senate. It meets in the united states Capitol in Washington, D.C The united states congress is mounted by means of Article I of the constitution, the Legislative branch includes the residence of Representatives and the Senate, which together shape America's Congress.

U.S. legislature: The legislative branch drafts proposed laws, confirms or rejects presidential nominations for heads of federal businesses, federal judges, and the preferred court docket, and has the authority to declare warfare. The legislative department is made up of the house and Senate, regarded together as Congress. amongst different powers, the legislative branch makes all legal guidelines, announces battles, regulates interstate and foreign trade, and controls taxing and spending guidelines.

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Which are components of swot analysis?
a. opportunities
b. target markets
c. segmentation
d. weaknesses

Answers

Opportunities are components of SWOT analysis.

What is SWOT analysis?

SWOT analysis, often known as a SWOT matrix, is a strategic planning and strategic management tool that can be used to help a person or organization discover the Strengths, Weaknesses, Opportunities, and Threats (SWOT) that are relevant to project planning or company competition. It is also known as situational analysis or situational evaluation.

This method is intended for use in the early phases of decision-making processes and can be applied as a tool for assessing the strategic position of various types of companies. The purpose of this analysis is to determine the internal and external elements that are helpful and harmful in attaining the goals of the project or enterprise. To make the tool usable and determine their competitive advantage, users of a SWOT analysis frequently ask and respond to questions to provide meaningful information for each category.

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The basic standard deduction in 2021 for a taxpayer, 69 and not blind, filing head of household is:____.

Answers

The basic standard deduction in 2021 for a taxpayer, 69 and not blind, filing head of household is: $18,800

This is further explained below.

What is a basic standard deduction?

Generally, In the year 2021, a taxpayer who is 69 years old, does not have blindness, and files as the head of household may deduct a total of $18,800.

In conclusion,  The standard deduction is a sum of money that non-itemizers may deduct from their income before income tax is levied under US tax law.

Taxpayers have the option of using itemized deductions or the standard deduction, but they often pick the one that lowers their overall tax bill.

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Jason is reviewing his employee's worksheet. he wants to see the details behind some of the numbers, especially the totals. if he clicks on a cell with a total, where would he see the details?

Answers

If Jason is reviewing his employee's worksheet. he wants to see the details behind some of the numbers, especially the totals. if he clicks on a cell with a total, where  he would see the details is: in the formula bar.

What is formula bar?

Formula bar  is a bar that is often found at the upper side of a spreadsheet and this bar make it easy for you  view the information you to see.

To view the information you will have to place your cursor on a cell and then click on a cell after which you will look at the formula bar so as to see the information.

Therefore If Jason is reviewing his employee's worksheet. he wants to see the details behind some of the numbers, especially the totals. if he clicks on a cell with a total, where  he would see the details is: in the formula bar.

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