The mean price of computers sold at a particular store is $949 with a standard deviation of $75. The z-score of a certain computer is -0.8. What is the price of the computer?

Answers

Answer 1

Answer:

the price of the computer is $889

Explanation:

The calculation of the price of the computer is shown below

We know that

Z-score = (x - mean) ÷ standard deviation

-0.8 = (x - 949) ÷ 75

x = (-0.8 × 75)  + 949

= -60 + 949

= $889

Thus, the price of the computer is $889

The above formula should be used in order to get the accurate value  


Related Questions

What does Mrs. Dubose's struggle say about humanity?

Answers

Answer:

Dubose struggles against old age; she has ailments which are so grave that there is little that can be done for her but alleviate the pain caused by these ailments through the use of morphine. But, as Atticus later informs Jem and Scout, Mrs. Dubose decided to die without being on any drugs.

Explanation:

Mrs. Dubose's struggle say about humanity is you never really know what someone is going through or how why they act the way they do.

What is To kill a mockingbird?

To Kill a Mockingbird explores how good and evil may coexist inside a single community or individual while also telling the story of a young girl coming of age and a darker drama about the causes and effects of racism and prejudice.

Dubose fights against aging, but due to her severe illnesses, there is little that can be done for her other than to utilize morphine to treat the pain they create. But as Atticus goes on to tell Jem and Scout, Mrs. Dubose made the decision to pass away without any medications.

Therefore, you never really know what someone is going through or why they act the way they do, according to Mrs. Dubose's fight with humanity.

To learn more about To kill a mockingbird, refer to the link:

https://brainly.com/question/21896852

#SPJ2

Need help for #2!! Person w correct answer will be marked brainliest!!

Answers

survival of the fittest, a term made famous in the fifth edition (published in 1869) of On the Origin of Species by British naturalist Charles Darwin, suggested that organisms best adjusted to their environment are the most successful in surviving and reproducing.

What is the environment?

The environment can be defined as a sum absolute of all the realistic and non-living atmospheric condition and their effects that influence human life. While all living or biotic elements are animals, plants, forests, fisheries, and birds, non-living or abiotic weather conditions include water, land, sunshine, rocks, and air.

"Fittest" simply means "most successful over the long run in passing on your genes." If you are physically fit, powerful, and healthy yet don't pass your genes on. In terms of evolution, you are not fit.

Natural selection is a mechanism that propels evolutionary change, and it is often referred to as "survival of the fittest" in popular culture. Natural selection operates by favoring individuals who have a higher level of environmental adaptation over those who have a lower level of adaptation.

Therefore, The environment is the most successful in surviving and reproducing.

Learn more about the environment here:

https://brainly.com/question/13107711

#SPJ1

What is the money multiplier when RRR = 9% and the ERR =3%?

Answers

The money multiplier when RRR = 9% and the ERR =3% is 8.333.

What is money multiplier?

A fractional-reserve banking system's money multiplier is one of many closely related ratios of commercial bank money to central bank money. Given a certain amount of central bank money, it has to do with the maximum amount of commercial bank money that can be produced.

Loans are how banks make money. To increase interest earnings, a bank lends or invests its excess reserves. The money supply grows by more than one dollar for every dollar increase in the monetary base. The money multiplier is the expansion of the money supply.

Money multiplier = 1 ÷ reserve ratio

Here reserve ratio = 9%+3%

= 12%.

= 0.12

Money multiplier = 1 / 0.12

= 8.333

So money multiplier is 8.333

Learn more about money multiplier on:

https://brainly.com/question/13923879

#SPJ1

The writer is considering replacing the underlined portion of sentence 11 (reproduced below).

In one study, test subjects did a bunch of things with a humanlike robot called Nao.

Which of the following versions of the underlined text most closely fits the style of the passage?

A. (as it is now)

B. performed a series of tasks

C. finished a ton of work

D. completed loads of experiments

E. executed an array of assigned enterprises

Answers

Answer:

B. performed a series of tasks

Explanation:

Answer B

Correct. This version of the underlined text most closely fits the style of the passage in terms of diction, syntax, and conventions. It relays information directly and uses formal yet accessible language.

Answer:

B) performed a series of tasks

Explanation:

I just took the test, it is correct :)

7, 5, 10, 4, 4

What is the median of the numbers above?

Responses

Answers

5

You would put the data set in numerical order then find the middle number

4, 4, 5, 7, 10

5 is the middle of the set so it is the median

HELP ASAP
what famous painter is known to have used a camera obscura make his paintings more accurate?
A.) Pablo Picasso
B.) Michelangelo Buonarroti
C.) Leonardo de Vinci
D.) Rembrandt van Rijn

Answers

C, Leonardo da Vinci
The answer is Leonardo de Vinci

Compared to distilled water, is water isotonic?

Answers

Answer:

Isotonic solutions have the same concentration of solutes as a reference solution, usually expressed as milliosmoles per liter (mOsm/L). Distilled water is a pure substance that does not contain any solutes, so it has an osmolarity of 0 mOsm/L. Therefore, compared to distilled water, most solutions are hypertonic, meaning that they have a higher concentration of solutes, or hypotonic, meaning that they have a lower concentration of solutes.

However, it is important to note that the term "isotonic" is often used to describe solutions that are similar in concentration to the fluids inside the human body. For example, saline solutions are often used in medical settings because they have an osmolarity similar to the fluids in the human body, making them isotonic in this context. In comparison to these solutions, distilled water is hypotonic.

So, to answer your question, it depends on the reference solution that is being used. Compared to distilled water, which has an osmolarity of 0 mOsm/L, most solutions are either hypertonic or hypotonic. However, compared to solutions that are similar in concentration to the fluids in the human body, distilled water is hypotonic.

Explanation:

The end of the civil war between Arab Mulim and Chritian Black African in Sudan coincided with the eruption of an ethnic war in the Sudanee region of , along the Chadian border. A. N’Djamena

B. Ouagadougou

C. Abyei

D. Darfur

E. Juba

Answers

Answer:

Based on the information provided, the correct answer is D. Darfur.

The civil war between Arab Muslim and Christian Black African in Sudan ended around the same time as the eruption of an ethnic war in the region of Darfur, along the border with Chad. This conflict, which took place in the early 21st century, involved fighting between the Sudanese government and rebel groups in Darfur, and resulted in widespread human rights abuses and the displacement of millions of people. The conflict was eventually resolved through a peace agreement in 2010, but tensions and violence continue to persist in the region.

Explanation:

Which of the following best describes why the author includes the phrase “unless you believe in objective, scientific polling” (paragraph 1, sentence 4)?
(A) It reveals the author’s doubts about the reliability of scientific data.

(B) It reinforces the author’s argument that our opinions are frequently
based on science.

(C) It helps to establish the author’s ironic, humorous tone.

(D) It supports the author’s feelings about the increasing importance of
technology.

(E) It introduces a comparison between the author’s view of himself
and the way others view him.

Answers

The answer is B if you believe in your opinion then no one’s opinion matters
B is the correct answer

What comes to mind when you think of WW2?

Answers

Conflict, disagreement,battle,death
Death,sadness
T-T
Have a good day

How has the introduction of the automobile and, subsequently, the highway begun to fundamentally change the way cities are designed and function?

Answers

Answer:

The introduction of the automobile and, subsequently, the highway begun to fundamentally change the way cities are designed and function because these technological advances have allowed citizens to travel greater distances in less time: before the automobile, the horse was used to get around, which travels distances at about 30 kilometers per hour on average, and needs to rest after long stretches. Today, the car travels at average speeds of about 60 kilometers per hour and does not need breaks, other than the logical routine mechanical conditioning.

Thus, cities have been able to begin to expand horizontally, enlarging their contours because people no longer necessarily need to live near their centers, thanks to the mobility facilities that exist today.

If you depoit 4000 in to an account paying 9% annual interet compounded monthly how long until there i 10000 in the account

Answers

Answer:

To find out how long it will take for the balance in the account to reach $10,000, you can use the following formula:

n = log(10000 / 4000) / log(1 + (0.09 / 12))

This formula calculates the number of periods (in this case, months) required for the balance to grow from $4,000 to $10,000 at a 9% annual interest rate compounded monthly.

Plugging in the values, we get:

n = log(10000 / 4000) / log(1 + (0.09 / 12))

= log(2.5) / log(1.0075)

= 0.964 / 0.0075

= 128.53

So it would take approximately 128 months, or just over 10 years, for the balance in the account to reach $10,000.

Note: This is just an approximation and the actual time required may vary slightly due to the way that the interest is compounded.

Explain how supranationalist organization membership can limit sovereignty of member states.

Answers

The way that supernationalist organization membership can limit sovereignty of member states is that : Members of supranational organizations, such as the EU and World Trade Organization, consent to giving up some of their sovereignty.

What steps does a state need to take in order to join a supranational organization?

Member states do have to give up some sovereignty because the organization is supranational.

Military alliances aid states in fending off common foes, and economic alliances promote free trade on a greater scale. Supranational organizations are another name for these coalitions, and they always include states ceding some of their sovereign authority in the name of the greater good.

Therefore, In order to establish worldwide laws governing nations' affairs and avoid wars, a supranational body is a viable option. Countries that belong to supranational organizations like the EU and World Trade Organization consent to give up some of their sovereignty to the group on certain matters.

Learn more about supernationalist organization  from

https://brainly.com/question/20695012
#SPJ1

What happens when two copies of information for a

trait are not the same?

Answers

Genes come in different varieties, called alleles. Somatic cells contain two alleles for every gene, with one allele provided by each parent of an organism. Often, it is impossible to determine which two alleles of a gene are present within an organism's chromosomes based solely on the outward appearance of that organism. However, an allele that is hidden, or not expressed by an organism, can still be passed on to that organism's offspring and expressed in a later generation.

Identify the type of genre:

Sunlight had sneaked in through the window and was creeping toward the chair where my pants dangled. I was lying in
bed, rubbing some gunk from the corner of my eye. It must have collected while I was sleeping, and to just let it stay there
seemed inappropriate.

A.)Fiction
B.)Mystery
C.)Poetry
D.)Nonfiction

Answers

Answer:

A.) Fiction

Explanation:

The correct option is - A.) Fiction

over a whole lifetime about how much someone with a professional degree expects to earn compared to with a high school diploma who didn't attend collage

Answers

In terms of median lifetime earnings, men with graduate degrees surpass high school graduates by $1.5 million. The salary increase for women with graduate degrees is $1.1 million.

What is Education and Lifetime Earnings?The typical lifetime income of men with bachelor's degrees is $900,000 higher than that of men with only high school diplomas. Bachelor's degree-holding women make $630,000 more than males do.Males with bachelor's degrees would have a median lifetime income that is $655,000 higher than men with only a high school diploma, according to regression projections. The median lifetime income for women with bachelor's degrees is $450,000 higher than that of high school grads.Additionally, we use the discounted present dollar value to calculate the lifetime returns of educational achievement.In comparison to a high school certificate, a bachelor's degree at age 20 has a net present lifetime worth of $260,000 for males and $180,000 for women, using a real discount rate of 4% annually. Men pay $400,000 and women $310,000 for those with graduate degrees.All things considered, these data support the substantial long-term economic advantages of a college education.

To Learn more About median lifetime earnings refer To:

https://brainly.com/question/22946825

#SPJ1

What controversial issues can develop with the use of risk assessment?

Answers

Answer:

I think a Lack of executive management support for the risk assessment. ...

Lack of established ground rules for conducting the risk assessment.

Where are the most mountains found on Africa

Answers

Answer:

North-western, central and eastern regions of Africa have large number of mountains.

Explanation:

North-western, central and eastern regions of Africa have large number of mountains. However, 50% of the Africa's countries have high mountains (higher than 2000 m)

Some of the prominent mountains are -

Mount Kilimanjaro (5,895 m) in Tanzania, Mount Kenya (5,195 m) in Kenya, Mount Stanley (5,119 m), Mount Speke (4,890 m) and Mount Baker (4,844 m) in Congo-Uganda etc.  

The writer wants to combine sentences 11 and 12 (reproduced below) into a single sentence.
But when the stakes are high, the risks of making biased decisions are simply too great. An example of a high-stakes situation would be when jurors are deliberating a defendant's fate.
Which of the following revisions to the underlined portion of sentences 11 and 12 most effectively accomplishes this goal?
A
high, then the risks
making biased decisions-one example of which would be when jurors are deliberating a defendant's fate-are simply too great
B
high, one good example of which is a defendant having his or her fate being deliberated by jurors, the risks of making biased decisions are simply too great
c) high (for example, when jurors are deliberating a defendant's fate, the stakes would be high), the risks of making biased decisions are simply too great
D
high, such as when jurors are deliberating a defendant's fate, the risks of making biased decisions are simply too great
E high-like a defendant whose fate is being deliberated by jurors-the risks of making biased decisions are simply too great

Answers

Answer:

D. high, such as when jurors are deliberating a defendant's fate, the risks of making biased decisions are simply too great

Explanation:

This version combines the two sentences in a concise and clear manner. Of the options presented, it is the most effective way to express the ideas in one sentence.

The revision that correctly fulfills the underlined part of sentence 11, as well as, 12 would be:

D). high, such as when jurors are deliberating a defendant's fate, the risks of making biased decisions are simply too great.

What is a sentence?

The sentence is described as the formation of words together to convey a complete meaning.

The above sentence correctly revises the highlighted part in sentences 11 and 12 as it gives it clarity and precision.

This joins the ideas together in a comprehensive and whole manner which makes it convenient for understanding them effectively.

Thus, option D is the correct answer.

Learn more about "Sentence" here:

brainly.com/question/696177

Evaluate the extent to which American migration fostered social change in the western territories from 1862 to 1900.

Answers

Mining possibilities and the gold rush (silver in Nevada) the chance to work as a "cowboy," to be involved in the cattle business Railroad-related advantages include quicker travel to the West and increased supply options. under the Homestead Act, a low-cost option for land ownership.

What is Reasons for Westward Expansion?An introduction to a lesson about westward expansion could utilise this activity. You could also use this assignment as a review at the conclusion of a unit, or you could have the whole class work through it progressively over the course of a unit.Start off by having the class come up with a theory as to why Americans would have wished to emigrate to the West in the middle of the 19th century. Compare and contrast the broad motivations behind people's moves from one location to another with the specific political and cultural environment that existed in the United States at this time. For future use, ideas could be written down.The class should start the sequencing exercise. Analyze a few of the documents in greater detail. Examine the documents with the class and see if anyone can name and describe any of them without further inspection. Inquire about proposals for "earlier" and "later" materials. The ability to defend assumptions is a must for students. (Remind students that at this time, since they haven't yet conducted any detailed examination, it is perfectly fine to make a guess with limited evidence to boost their confidence and readiness to make educated assumptions.)

To Learn more About the gold rush refer To:

https://brainly.com/question/1346705

#SPJ1

How do religious and ethnic groups both reflect and influence the geography of places at different
scales?

Answers

Answer:

Religious and ethnic groups both reflect and influence the geography of places at different scales since human beings, who are ultimately the ones who give geography its cultural and social component, tend to group together in specific places, depending on their similarities and its adaptability to environmental conditions. Thus, for example, in Canada French speakers tend to cluster in the province of Quebec and, to a lesser extent, in northern Ontario. This affects the political geography of the place, since it makes the official language of Quebec French and not English, which is the official language of the rest of the country.

Which tasks can be completed using the Advanced dialog box under Options? Check all that apply.
a. enable PowerPoint Designer
b. configure AutoRecovery settings
c. determine the maximum number of undos
d. add a command to the Quick Access Toolbar
e. define the number of recent presentations to display
f. add additional spelling mistakes to be auto corrected

Answers

Answer:

C and E, the above answer is correct

Explanation:

I did it on edge too!!!!!!!!!!

The tasks that can be completed using a the advanced dialog box under Options is determine the maximum number of undos and define the number of recent presentations to display. That is option C and E.

What is an Advanced dialog box?

An Advanced dialog box is a type of dialogue box which is used to load an installation and management of package from the media location.

Therefore, the task that can be completed using the Advanced dialog box under Options is determine the maximum number of undos and define the number of recent presentations to display.

Learn more about Advanced dialog box here:

https://brainly.com/question/6950210

#SPJ 2

Examine Item A in your test documents. This diagram best illustrates the concept of:

A. division of power (federalism)

B. separation of powers (Checks and balances)

C. power of the people (popular sovereignty)

D. enumerated powers (constitutional powers)
Test Documents Are Attached

Answers

The diagram best illustrates the concept of division of power that is federalism.

What do you mean by federalism?

The ability to govern is divided between the federal government and provincial/state governments under modern federalism, a political system founded on democratic principles and institutions. Depending on the context, the term "federalist" can refer to a variety of political ideologies.

Federalism is a form of political structure that enables the union of several states or other polities within a larger political system while still allowing each to preserve its own integrity.

The political ideas that drive federal systems place a premium on negotiations and negotiated cooperation among various power centers; they highlight the benefits of dispersed power centers as a way to protect personal and local liberty.

To learn more about political structure refer to:

https://brainly.com/question/22236084

#SPJ1

What is News Media Bias?

Answers

Rather than the viewpoint of a single journalist or article, the phrase "media bias" suggests a systemic or widespread bias that violates the rules of journalism.

What does media bias mean?Rather than the viewpoint of a single journalist or article, the phrase "media bias" suggests a systemic or widespread bias that violates the rules of journalism. There is considerable debate over the type and severity of media bias in different nations. The three types of biases mentioned above—confirmation bias, sampling bias, and brilliance prejudice—can all have an impact on our capacity to evaluate information critically. To help us better grasp how cognitive biases affect our daily life, Jono Hey of Sketchplanations talks us through some examples.Bias is a disproportionate preference for or opposition to an idea or object, typically in an unreflective, prejudiced, or unfair manner. Biases may be ingrained or acquired. Biases for or against a person, a group, or a belief can arise in people. A bias in engineering and science is a type of systematic inaccuracy.

To learn more about media bias refer to:

https://brainly.com/question/9467162

#SPJ1

how can i get brainliest really easy

Answers

Answer:

By writing good answers.

Explanation:

Honestly, in my opinion, it's never been easier to get a Brainliest. With all these idiots running around leaving fake links, all you have to do is write a decent answer and you pretty much automatically get Brainliest.

Explain how classical conditioning and operant conditioning can be used in therapy. Include a discussion about exposure therapies, such as systematic desensitization, as well as aversive conditioning, behavior modification, and token economies.

Answers

Answer:

Systematic desensitization is one of the behavioral therapies which is based on the principles of classical conditioning. This involves treating phobias and substitute the response of fear with a relaxation response to the conditioned stimulus gradually using the counter conditioning process. The patient in the first phase is taught deep muscle relaxation exercise and breath exercises like meditation, muscle detensioning, etc. This step involved reciprocal inhibition, where one response is inhibited and it is incompatible with another. When a person is suffering from a phobia, they experience fear which involves tension and tension is incompatible with being relaxed.

In the second phase, the patient is helped to create a fear hierarchy starting with the stimuli which are least anxiety-producing and moving up with the most anxiety-producing stimuli.

In the third phase, patiently works his way up the fear hierarchy along with practicing his relaxation technique as he moves up. When he feels comfortable and is no longer afraid, he moves to the next stage in the hierarchy. If the patient becomes anxious again, he could return back to the earlier stage and regain his relaxed state.

The patient would repeatedly imagine the phobic situation till it falls to evoke anxiety in him

Token economies make use of operant conditioning principles of reinforcement to modify behavior. The clients are allowed to earn token which they can exchange for special perks or desired items. Parents mostly use this therapy with their children to reinforce their good behavior. Children earn tokens by being good and engaging in desirable behavior which can be used to get their favorite chocolates or toys. This is called positive reinforcement, where the likelihood of the desired behavior would be increased because it is being rewarded.

Explanation:

I am the saving grace! :)

One of the behavioral treatments founded on the principles of classical and operant conditioning is progressive desensitization.

Classical conditioning and operant conditioning:

Using the countering conditioning method, this entails treating phobias and progressively replacing the fear response with a muscle relaxation to the conditioned stimuli. In the first phase, the patient is taught deep muscular relaxation and breathing activities such as meditation and muscle de-tensioning.

In the second phase, the patient is assisted in creating a fear hierarchy, beginning with the least anxiety-producing stimuli and progressing to the most anxiety-producing stimuli.

As he progresses through the third phase, he gradually works his way up the fear hierarchy, practicing his relaxation method as he goes.

The patient would visualize the phobic circumstance over and again until it became a source of dread for him.

To influence behavior, token economies employ operant conditioning principles of reinforcement. Clients can earn tokens, which they can then swap for unique benefits or desired things. This treatment is usually used by parents to encourage their children's excellent conduct.

Find out more information about 'Operant conditioning'

https://brainly.com/question/17583598?referrer=searchResults

Write a summary of the following excerpt from “Why I Wrote 'The Yellow Wallpaper" by Charlotte Perkins
Gilman.
For many years I suffered from a severe and continuous nervous breakdown tending to melancholia--and beyond
During about the third year of this trouble I went, in devout faith and some faint stir of hope, to a noted specialist in
nervous diseases, the best known in the country. This wise man put me to bed and applied the rest cure, to which
a still-good physique responded so promptly that he concluded there was nothing much the matter with me, and
sent me home with solemn advice to "live as domestic a life as far as possible," to "have but two hours' intellectual
life a day," and "never to touch pen, brush, or pencil again" as long as I lived. This was in 1887

Answers

Answer:

Gilman felt very melancholy and was having a severe nervous breakdown. This mental state was maintained for three years, which made her look for a specialist in nervous diseases, who would examine her and help her to heal. The specialist stated that she did not have any serious illness, but that she needed to rest as long as she lived to be cured.

Explanation:

To make a summary of a text, you must rewrite the text in a reduced form, pointing out only the most important elements of the story. Therefore, anyone who reads the summary is able to understand the most important and relevant parts of the original text, even if they do not have many details of how it happened, since the details are presented only in the original text.

With only nine justices on the Court, what would diversity ideally look like?

Answers

Basically, the U.S. Constitution grants Congress the power to determine how many justices sit on SCOTUS. This number has ranged between 5 and 10, but since 1869 the number has been set at 9.

What do you mean by diversity in court?

The 116 individuals who have been nominated and confirmed as justices to the Supreme Court are represented by the gender, ethnicity, and backgrounds in terms of religion, geography, and economics. Since the court was created in 1789, some of these qualities have been brought up as concerns. For the first 180 years of the court's existence, justices were primarily white male Protestants of Anglo or Northwestern European ancestry.

Prior to the 20th century, a small number of Catholics were appointed, but concerns about diversity on the court focused more on geographic variety—representing all regions of the nation—than on ethnic, religious, or gender diversity.

To learn more about diversity refer to:

https://brainly.com/question/26794205

#SPJ1

What is the rate of change of the radius to the thousandths?

Answers

General Formulas and ConceptsGeometry

Area of a Circle Formula:
[tex]\displaystyle A = \pi r^2[/tex]

r is the radius of the circleCalculus

Differentiation

DerivativesDerivative Notation

Derivative Property [Multiplied Constant]:
[tex]\displaystyle (cu)' = cu'[/tex]

Derivative Rule [Basic Power Rule]:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]:
[tex]\displaystyle [u(v)]' = u'(v)v'[/tex]

ApplicationStep 1: Define

Let's organize what the problem gives us.

We are told that the area of a circle is decreasing at 122 in²/min.

⇒  [tex]\displaystyle \frac{dA}{dt} = -122 \frac{\text{in}^2}{\text{min}}[/tex]

We are also told an instantaneous point: the area of the circle is 16π in².

We are asked to find the rate of change of the radius.

Step 2: Work

Let's first differentiate our area of a circle formula with respect to time. Apply basic differentiation rules listed above under "Calculus":

[tex]\displaystyle\begin{aligned}\frac{d}{dt}[A] & = \frac{d}{dt}[\pi r^2] \\\frac{dA}{dt} & = \pi \frac{d}{dt}[r^2] \\\frac{dA}{dt} & = 2 \pi r \frac{dr}{dt} \\\end{aligned}[/tex]

∴ we have found the relationship between the change in area and the change in radius w/ respect to time.

Now we need to determine what the radius is when the area of the circle is equal to 16π in²:

[tex]\displaystyle\begin{aligned}16 \pi \ \text{in}^2 & = \pi r^2 \\r^2 & = 16 \ \text{in}^2 \\r & = \boxed{ \pm 4 \ \text{in} } \\\end{aligned}[/tex]

∴ the radius of the circle when the area is equal to 4 in, since the radius of the circle can't be negative.

With all of our variables, we can now substitute them into our derivative and solve for the rate of change of the radius:

[tex]\displaystyle \frac{dA}{dt} = 2 \pi r \frac{dr}{dt} \Rightarrow -122 = 2 \pi (4) \frac{dr}{dt}[/tex]

[tex]\displaystyle\begin{aligned}\frac{-122 \frac{\text{in}^2}{\text{min}}}{2 \pi (4 \text{in})} & = \frac{dr}{dt} \\\frac{dr}{dt} & = \frac{-122 \frac{\text{in}^2}{\text{min}}}{8 \pi \ \text{in}} \\& = -4.8542257643 \frac{\text{in}}{\text{min}} \\& \approx \boxed{ -4.854 \frac{\text{in}}{\text{min}} } \\\end{aligned}[/tex]

∴ the rate of change of the radius is equal to -4.854 inches per minute rounded to the thousandths place. Reworded, the rate of change of the radius decreases by 4.854 inches per minute.

Answer

∴ at the instant when the area of the circle is 16π square inches, the change of the radius is equal to:
[tex]\displaystyle \boxed{ \frac{dr}{dt} \approx -4.854 \frac{\text{in}}{\text{min}} }[/tex]

___

Learn more about derivatives: https://brainly.com/question/30146641

Learn more about Calculus: https://brainly.com/question/30194936

___

Topic: Calculus I

Unit: Differentiation (Related Rates)

Respond to all parts of the question. In your response, use substantive examples where
appropriate.
Use the pie charts to answer the following questions.
A. Identify the percentage of the budget that was mandatory spending in 1968.
B. Describe a change over time in the pie charts.

Answers

a - 28%
b- the mandatory spend is increasing every year and the discretionary is decreasing in the years and the net interest fluctuates

A. 28%

B. The mandatory spending has been increasing annually while the discretionary spending has been decreasing over time, resulting in a fluctuation in the net interest.

What is a budget?

A budget is a financial plan that outlines estimated revenues and expenses for a particular period, usually a month, quarter, or year. It helps individuals and organizations to manage their finances effectively by providing a framework for allocating resources and tracking progress towards financial goals.

A typical budget consists of two main components: income and expenses. Income includes all sources of revenue, such as salaries, investments, and grants. Expenses include all expenditures, such as rent, utilities, salaries, and supplies.

The goal of a budget is to ensure that expenses do not exceed income and that financial resources are allocated effectively. By creating a budget, individuals and organizations can identify areas where they can reduce costs, prioritize spending, and plan for future needs. Additionally, a budget can help individuals and organizations to track their progress towards financial goals and make adjustments as needed.

Learn more about budget, here:

https://brainly.com/question/18803390

#SPJ2

Other Questions
What are the 4 most important Bill of Rights? The population trend described in the excerptmost directly reflected which of the followingdomestic developments in the nineteenthcentury?(A) The belief that it was the Manifest Destinyof the United States to control territoryacross the continent(B) The question of the role of government infunding internal improvements(C) The claim that the United States shouldlimit European colonialism in theWestern Hemisphere(D) The dispute over whether Congress shouldreestablish a national bank Which team member is tasked with adopting and maintaining good Agile habits? Ahmad is considering making a $10,000 investment in a venture which its promoter promises will generate immediate tax benefits for him. Ahmad, who normally itemizes his deductions, is in the 28% marginal tax bracket. If the investment is of a type where the taxpayer may claim either a tax credit of 25% of the amount of the expenditure or an itemized deduction for the amount of the investment, what treatment normally would be most beneficial to Ahmad and by how much will Ahmad's tax liability decline because of the investment? a. $0, take neither the itemized deduction nor the tax credit. b. $2,500, take the tax credit. c. $2,800, take the itemized deduction. d. Both options produce the same benefit. e. None of the above. Which of the following is deductible in calculating dividend received deduction modified taxable income?A) Charitable contribution deductionB) Net capital loss carrybacksC) Net operating loss carryoversD) Dividends received deduction What was the Second Amendment written to defend against? which of the following is true about Olestra What are the principles of recovery in mental health? Calculate The De Broglie Wavelength Of A Neutron Traveling At 1% The Speed Of Light. Enter Your Answer In Picometers An object with a mass of 9.0kg has an acceleration of 3m/s the force acting on it is 3nTrue or false? when an organization attempts to introduce a change, but its employees fail to see how the proposed action represents an improvement or even fits in with company strategy, the result is likely resistance to change motivated by Describe anorexia and bulimia nervosa as separate disorders, and also explain how they may be viewed as separate phases of a single disorder. a motor is most powerful, when the: group of answer choices the workload is longer the workload is shorter time interval for the work is shorter. Choose the correctanswer based on thesentence and image:'Me gusta a capacitor uses an _____ field to store potential electric energy which can be used as a power source when connected to a network. fill in the blank. the special product formula for the "square of a sum" is (a + b)2 = A business plan is most likely to contain: O self-dealing strategies. O trade restraint strategies. O anti-competitive strategies. O divesting strategies. O production strategies. annabelle works at acme cleaning company. when she retires, her employer's health insurance plan and medicare should cover all of her medical expenses. please can any one answer for this question How do the rhyme and rhythm affect or enhance the meaning of the poem?