Approximate the sum of the series correct to four decimal places.

Answers

Answer 1

Answer:

Example;

To round off 6.0056 to the nearest hundredths, the thousandth digit is checked and is equal to 5.

Add one unit to the hundredth digit and drop all the digits that come after it.

The answer is therefore, 6.01.


Related Questions

Rebello's preferred stock pays a dividend of $1.00 per quarter, and it sells for $55.00 per share. what is its effective annual (not nominal) rate of return?

Answers

Assuming it sells for $55.00 per share. Its effective annual (not nominal) rate of return is 7.47%.

Effective annual rate of return

Using this formula

Effective annual rate of return=[1+(Preferred quarterly dividend+Preferred stock price]^Periods per year-1

Where:

Periods per year =4

Preferred quarterly dividend=$1.00

Preferred stock price=$55.00

Let plug in the formula

Effective annual rate of return = [1+ ($1.00/$55.00)]^4 - 1

Effective annual rate of return=(1+0.018181818)^4-1

Effective annual rate of return=(1.018181818)^4-1

Effective annual rate of return =1.0747-1

Effective annual rate of return =0.0747×100

Effective annual rate of return = 7.47%

Therefore the Effective annual rate of return will be 7.47%.

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What is the slope of the line that passes through the points (6,2) and (4,10)?

Answers

10-2/4-6 = 8/-2 = -4 is the slope

A) how can cells from a single plant have different characteristics?

Answers

The plant cell wall is a specialized form of extracellular matrix that surrounds every Plant cells can be distinguished from most other cells by the presence of chloroplasts, which are also found in certain algae.

When describing electromagnetic radiation, there is a(n) _____________ relationship between wavelength and frequency and the greater the frequency, the ____________ energy the electromagnetic radiation has

Answers

Answer:

an should be there isn't it

I run a book club with $n$ people, not including myself. every day, for $365$ days, i invite three members in the club to review a book. what is the smallest positive integer $n$ so that i can avoid ever having the exact same group of three members over all $365$ days?

Answers

The smallest positive integer n so that you can avoid ever having the exact same group of three members over all 365 days is; 11

How to solve probability combination?

if we have n people and we want to do groups of 5, the total number of different combinations is:

ⁿC₅ = n!/((n - 5)!5!)

By using the Brute force method, we have;

If n = 5,

c = 5,

Thus;

C₅ = 5

If n = 6,

c = 6,

Thus;

C₅ = 6

If n = 7,

c = 7,

Thus

C₅ = 21

If n = 8,

c = 8,

Then;

C₅ = 56

Now, If n = 9,

C = 9!/((9 - 5)!5!)

C = 126

We want to find the smallest n such that c > 365. Thus, C = 126 is too small.

Let's try n = 11;

C = 11!/(6! * 5!) =  462

This is greater than 365 and so we need at least 11 members in the club.

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How many revolutions does the smaller gear complete during a single revolution of the larger gear?

Answers

Answer:

As the small gear rolls along the circumference of the large gear, the shaft of the small gear completes 30/15 = 2 rotations for every 1 rotation of the large gear shaft. This is called a gear reduction of 1:2. I hope this helps.

Why should Christians fight against spread of devil worship in the society​

Answers

Christians fight against spread of devil worship​ because they believed the devil is the one who makes people to do bad/evil thing and when he is worshipped, the devil will have more power to oppress and control people.

What is devil worship?

Theistic Satanism is known to be a Religious belief that is often called religious Satanism, spiritual Satanism, etc.

It is known as the body of people or groups that sees Satan to be an their god and as such the bible states that the work of Satan is to do evil and separate man from God. Christians are against the worship of a being who leads others to eternal doom and to do evil.

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a team of programmers is designing software. one portion of the project presents a problem for which there is not an obvious solution. after some research, the team determines that the problem is undecidable. which of the following best explains the consequence of the problem being undecidable?

Answers

The option that best explains the consequence of the problem being undecidable is  there is no possible algorithm that can be used to solve all instances of the problem.

What does it imply if a problem is undecidable?

An undecidable problem is known to be a kind of problem where people or a person does not know if a  "yes" or "no" answer, will be the most appropriate.

In the above context, when a response is undecided, it can lead to  no possible algorithm that can be employed in the handling of all cases regarding all issues of the problem.

See options below

A. The problem can be solved algorithmically, but it will require an unreasonably long amount of time.

B. The problem can be solved algorithmically, but it will require an unreasonably large amount of data storage.

C. There is no possible algorithm that can be used to solve all instances of the problem.

D. There are several different possible algorithms that can solve the problem, but there is controversy about which is the most efficient.

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how many feet will it take you to stop from 60 mph

Answers

It will take 88 feet for you to stop from 60 mph

According to roosevelt, what was the true goal of the new deal? to rebuild the us to restore us values to remind people of the us how to work

Answers

According to Franklin Delano Roosevelt, the true goal of the New Deal is: B. to restore US (American) values.

Who is Roosevelt?

Franklin Delano Roosevelt was an American politician and statesman who was elected to serve as the 32nd President of the United States of America in 1933. Also, he was born on the 30th of January, 1882 in Hyde Park, New York, United States of America.

What is the New Deal?

The New Deal was a collection of government reform programs that were established by President Franklin Delano Roosevelt between 1933 and 1939 in the United States of America so as achieve the following:

Boost the economy.Guard against economic disasters.Provide employment opportunities for the people.

In conclusion, we can deduce that in accordance with Franklin Delano Roosevelt, the true goal of the New Deal is to restore US (American) values.

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Answer:

B. to restore US values

Explanation:

Edge 2022

How can 100. ml of sodium hydroxide solution with a ph of 13.00 be converted to a sodium hydroxide solution with a ph of 12.00 ?

Answers

The solution can be evaporated such that only 10mL of the solution remains in that way, we can have a solution of pH 12.00.

What is pH?

The pH refers to the degree of acidity or alkalinity of solution. We can obtain the concentration of each solution from the pH as follows;

At pH = 13;

[OH^-] = Antilog (-13) = 1 * 10^-13 M

At pH 12

[OH^-] = Antilog (-12) = 1 * 10^-12 M

Using the formula;

C1V1 =C2V2

1 * 10^-13 M * 100 mL = 1 * 10^-12 M * VmL

VmL = 1 * 10^-13 M * 100 mL/1 * 10^-12 M

VmL = 10mL

The solution can be evaporated such that only 10mL of the solution remains in that way, we can have a solution of pH 12.00.

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which of the following incorrectly matches an embryonic structure with its function?

Answers

Answer:

yok sac/provides nutrients to developing embryo

Find out where cancún, guadalajara, and oaxaca are located in mexico and describe one interesting attraction you can find at each one.

Answers

The location and interesting attractions of the different cities of cancún, guadalajara, and oaxaca are; Described in the answer below

Where is the location of some cities?Cancun: It is a city located in the southeastern part of Mexico, in the state of Quintana Roo, in the Yucatan peninsula and one of the most famous destinations in Mexico. One thing that you can see here is the Mayan ruins known as "El Rey."

Guadalajara: This city is located in western Mexico and is the capital of the state of Jalisco. One of the most important touristic attractions of this city is the Hospicio Cabañas.

Oaxaca: This city is located in the state of Oaxaca at the Centro District in the Central Valleys region of the state, on the foothills of the Sierra Madre. One of the most important attractions of Oaxaca is the festival of the "Guelaguetza."

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A college student earns $ 15 , 000 working part time at a bookstore. the student pays 1 10 of the earnings in taxes, spends 2 5 of the earnings on living expenses, and saves the remainder of the earnings. how much money does the student save?

Answers

The amount she will have left having been working as a part time at a bookstore $14,865

What is savings?

Savings is the amount left after deducting expenses spent. it is the money set aside for future use and not spent immediately.

Given that:

Total amount earned by the student

= $15000

Earning paid off in taxes

= $110

Amount spent on living expenses

= $25

Amount she will have left

= $15000 - ($110 + $25)

= $15,000 - $135

= $14,865

Hence the amount she will have left is $14,865

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The idea that a dollar received in the future has less value than a dollar received today because a dollar received today can earn interest over time is called

Answers

The interest received on a dollar invested over time is called Return on Investment (ROI

Return on Investment

It should be noted that if the dollar received today is not put into good investment it might as well be the same as the dollar received in future.

Money losses value overtime  hence in other for money to have values it should be invest carefully and wisely.

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A train leaves boston and travels toward its destination

Answers

Answer:

i think it is 4mph

Explanation:

A college degree is associated with a higher income on average, so it makes sense to look at educational attainment when thinking about gender wage inequality. as your textbook notes, women’s college enrollment

Answers

Women’s college enrollment was has always been higher than men's, with the exception of the 1920s.

What is the reason of  women's college?

The reason of women's colleges was so that women, who have not been allowed to go to colleges and universities back in the 1800s were then given an opportunity.

Women are known to have access to high-quality post secondary education in this modern day than when compared to the 1800s.

See full question below

A college degree is associated with a higher income on average, so it makes sense to look at educational attainment when thinking about gender wage inequality. Women's college enrollment:______a. has always been higher than men's, with the exception of the 1920s. b. was lower than men's in the 1970s, but has been higher than men's since the 1980s. c. has been just about the same as men's since the 1960s. d. was lower than men's in the 1950s, but has been the same as men's since the 1970s.

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Read this passage from when birds get flu and cows go mad! by john diconsiglio. Hughes was assigned to find infected cow parts at meat processing plants in washington. He remembers the sad look on some owners’ faces when he flashed his badge. If there was a chance that any of their meat might have mad cow, they’d have to throw it all away. "the business they built from scratch was destroyed—through no fault of their own. And there was nothing they could do about it," hughes says. The tone in this passage most suggests that hughes is caring. Dedicated. Tense. Focused

Answers

The tone of the author in this passage from "When the birds get flu" can be described as caring.

What is the tone?

This refers to the general attitude of the author in a text when referring to the subject or topic the author describes. For example, a text about the pandemic might have a pessimistic or optimistic tone.

What is the tone in the excerpt?

This excerpt shows a rather caring tone, this is because the author seems to worry about the negative impact of the mad cow disease on farmers. This can be seen in excerpts such as:

"the sad look on some owners’ faces""the business they built from scratch was destroyed

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Answer:

a - caring

Explanation:

How to prepare for the ap calculus advanced placement examination

Answers

Answer:

Watch some videos on complex topics you have trouble doing, and do any exercises the video links to. Read all your textbooks and test yourself, or have somebody do it for you. Read all your notes and memorize terms.

Answer:

Watch some videos on complex topics you have trouble doing, and do any exercises the video links to. Read all your textbooks and test yourself, or have somebody do it for you. Read all your notes and memorize terms.

Explanation:

What is the first step in the talk method of conflict resolution?

Answers

Answer:

Communication is the first step.

Explanation:

In addition to deep sea organisms, there are many species found throughout the ocean. the numbers and relative proportions of bacteria and archaea change with depth in response to changing conditions. viruses that infect the prokaryotic organisms play a variety of important roles in this habitat, including control of their overall numbers and facilitation of horizontal gene transfer. choose whether each statement best describes bacteria, archaea, or viruses.

Answers

The statements are not found in the question but it is important to highlight that viruses are not living forms and bacteria and archaea are prokaryotic organisms.

What are prokaryotic organisms?

Prokaryotic organisms such as bacteria and Archaea are simpler forms of life that lack a cell nucleus and membrane-bound organelles.

Viruses are not living things because they need a suitable host to survive (i.e., viruses are replicative entities).

Some characteristics of Archaea include:  

Most Archaea that live below 1000 m are ammonia oxidizers.They increase to 50% of prokaryotes below 1000 m.The major phylum below 1000 m is Thaumarchaeota.

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How does housman use the structure of the poem to create surprise?

Answers

The poet offers an elegy for a young, athletic man who recently passed away in "To an Athlete Dying Young." Naturally, this is a tragic subject, and the poet begins his poem with a sorrowful and solemn tone of pity. The author, on the other hand, uses the poem's structure to surprise his audience. Despite the melancholy tone of the opening line, the tone of the poem shifts to one of satisfaction and praise as the poem goes on, surprising the reader. The author can express various opposing views in each stanza. While he feels that dying young is a pity, he considers how rapidly youth fades and how many men lose their reputation by the time they reach retirement age. He says that if an athlete dies young, he will never have to deal with old age, decline, or loss of glory. Despite the melancholy, the author can draw some constructive conclusions from the incident

Wen is factoring the polynomial, which has four terms. 6x3 – 12x2 + 7x – 14 6x2 (x – 2) + 7(x – 2) which is the completely factored form of his polynomial? (6x2 + 7) (x –2) (6x2 – 2) (x +7) (6x2 + 2) (x – 7) (6x2 – 7) (x + 2)

Answers

The completely factored form of his polynomial 6x³ - 12x² + 7x - 14 Wen factored is (x-2) ( 6x² + 7)

How to factorise a polynomial

6x³ - 12x² + 7x - 14

= 6x² (x - 2) + 7(x - 2)

Factor out the term (x-2) form each term

6x²(x – 2) + 7(x – 2)

= (x-2) ( 6x² + 7)

Therefore, the completely factored form of his polynomial is (x-2) ( 6x² + 7)

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Answer:

Answer  is A

Explanation:

Nonverbal communication such as posture, gestures, expressions, and eye
movement are all examples of:
A. body language.
B. opposing signals.
Ο Ο Ο Ο
C. presentation cues.
D. supporting signals.

Answers

There are all examples of: A. body language.

Hugo plans to buy packs of baseball cards until he gets the card of his favorite player, but he only has enough money to buy at most 444 packs. suppose that each pack has probability 0.20.20, point, 2 of containing the card hugo is hoping for. let the random variable xxx be the number of packs of cards hugo buys. here is the probability distribution for xxx:

Answers

Considering the given discrete probability distribution, it is found that there is a 0.36 = 36% probability that Hugo buys fewer than 3 packs.

What is the discrete probability distribution?

Researching on the internet, it is found that the discrete probability distribution for the number of packs that Hugo buys is given by:

P(X = 1) = 0.2.P(X = 2) = 0.16.P(X = 3) = 0.128.P(X = 4) = 0.512.

The probability that he buys fewer than 3 packs is given by:

P(X < 3) = P(X = 1) + P(X = 2).

Hence:

P(X < 3) = P(X = 1) + P(X = 2) = 0.2 + 0.16 = 0.36.

There is a 0.36 = 36% probability that Hugo buys fewer than 3 packs.

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Answer:

0.64

Explanation:

A driver of a 1 000 kg jeepney travelling at a speed of 16,7 m/s bound for divisoria applies the car's brakes when he sees a red light along recto avenue. the car's brakes provide a frictional force of 8 000 n. determine the stopping distance of the car.

Answers

The stopping Distance of the Car with the given parameters is; 17.43 m

What is the stopping sight distance?

We are given;

mass; m = 1 000 kg

speed; u = 16.7 m/s

Frictional force; F = 8000 N

distance, s  = ?

final velocity = 0 m/s (car stops)

Formula for final velocity is;

v² = u² + 2as

but a = negative (deceleration)

And F = ma

Thus;

a = F/m = 8000/1000

a = 8 m/s²

Thus;

0 = (16.7)² - 2(8)(s)

278.89 = 16s

s  = 17.43 m

Stopping distance = 17.43 m

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excel ran out of resources while attempting to calculate

Answers

Re: Excel ran out of resources while attempting to calculate one or more formulas

Your used range includes a lot of empty cells. If you hit Ctrl+End it will take you to the last cell in the used range and you can see ...

You have a lot of empty formatted cells (colored), but should be corrected when you reset the used range.

You have this formula on the Project Cost Tracking worksheet, cell CE1:

Which of these is not a form of electromagnetic radiation?

Answers

Answer:

where are the options without options how do i answer sorry

Six performers are to present their musical numbers in an auditorium. one of the performers requested to be the last act. in how many ways can the performances be arranged if the request was granted?

Answers

The numbers of ways that the performances can be arranged if the request was granted is 120 ways.

What is  performances?

The term performance is a term that can be countable or uncountable in nature. Note that to calculate the performance, since it is 6, one has to times from 5 to 1:

5*4*3*2*1=20*6=120

So, the request can be granted is 120 ways.

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Suppose a man is heterozygous for heterochromia, an autosomal dominant disorder which causes two different‑colored eyes in an individual, produced 25‑offspring with his normal‑eyed wife. of their children, 15 were heterochromatic and 10 were‑normal. calculate the chi‑square value for this observation.

Answers

The chi‑square value for this observation is 1.96

What is Chi-square?

This is known to be a form of  statistical test that is employed so as to investigate the differences that exist between categorical variables taken from a random sample.

It is used to construct or to  judge goodness of fit that exist between expected and observed results.

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A group of students is writing a phone message app to provide better word suggestions based on the context of the word and the words the person used in the past. They will earn an A on the project if their teacher is convinced that their program suggests the correct word at least 54% of the time. The current success rate for this app is 54%. The teacher randomly selects 100 words and finds that the students program correctly suggests 64 of the words. To determine if this data provide convincing evidence that the proportion of correct words is more than 54%, 150 trials of a simulation are conducted. The results are shown in the dotplot. The teacher is testing the hypotheses: H0: p = 54% and Ha: p > 54%, where p = the true proportion of words the app will correctly predict. Based on the results of the simulation, what is the estimate of the P-value of the test? Which word in this excerpt from act II, scene IV, of Shakespeare's Twelfth Night is a reference to a color-changing gemstone, hinting at Orsino's inconsistent nature? CLOWN: Now, the melancholy god protect thee; and the tailor make thy doublet of changeable taffeta, for thy mind is a very opal. I would have men of such constancy put to sea, that their business might be every thing and their intent every where; for that's it that always makes a good voyage of nothing. Farewell. Write a thesis statement stating your position on why success is a direct result of determination/hard work. 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We regret that it has become necessary in the land of Washington and Lincoln to reaffirm that all men, of whatever race or color, are entitled to life, liberty, and the pursuit of happiness "We earnestly condemn the policy of the present national administration in the Philippines. It seeks to extinguish the spirit of 1776 in those islands.... We denounce the slaughter of the Filipinos as a needless horror. We protest against the extension of American sovereignty by Spanish methods. We demand the immediate cessation of the war against liberty, begun by Spain and continued by us. We urge that Congress be promptly convened to announce to the Filipinos our purpose to concede to them the independence for which they have solong fought and which of right is theirs.". Platform of the American Anti-imperialist League, October 17, 1899Which of the following most directly contributed to the anti-imperialist sentiments expressed in the excerpt?(A) The sensationalism of the popular press of the time(B) The provisions of the peace treaty ending the Spanish-American War(C) The expansionist politics of Theodore Roosevelt and Henry Cabot Lodge(D) The debate over the Platt Amendment and its consequences visibility is restricted due to fog. what should the vessel operator do to avoid the risk of a collision? Select the correct answer from each drop-down menu. Before the American Revolution, slavery was legal in (Blank)British American colonies. During the American Revolution, (Blank) became the first American colony to abolish slavery NO LINKS!!Part 2: Figure A is a dilated image of Figure B. Find the scale factor. #3 and 4 Read Article B. In the early days of arctic exploration, dogsled was often the only way to travel. The ice, snow, and extremely cold weather made using other animals, such as horses, impossible. Snowmobiles were not invented yet. Most explorers journeyed by ship until the ice made it impossible to continue. Then, they would switch to dogsled. The dogs, working together, were a well-oiled machine that could cover long distances in the cold. Sled dogs needed to have long, warm coats to survive the arctic temperatures. They had to be fast and able to run for long distances while pulling a heavy load. Most importantly, they had to work together as a team. This made northern dogs, such as Siberian huskies and Alaskan malamutes, the best choices for the sled teams. These dogs have long coats, with a double layer of fur to keep out the cold, and they have wide paws with webbed toes that act like snowshoes. They have been bred for more than 9,000 years to be working dogs in extreme winter weather. They are friendly, team-oriented, and purposeful dogs. In the days of the arctic explorers, the physical features and determined personalities of the sled dogs made long journeys in harsh conditions possible. To be in the best condition for pulling heavy loads, the dogs needed a diet that was high in fat. They ate whale and seal blubber and fatty meats during their long journeys, which kept them strong and gave them energy to keep going. The dogs' paws also needed special care to make sure that they did not become injured by sharp ice or extreme cold. Treating the paws with fat or wax helped the dogs to run safely and comfortably. Although the days of arctic explorers are long past, sled dogs continue to run through the snow and ice of the North. Dogsledding is now recognized as a sport, with many competitions taking place all over the world. One of the most well-known of these is the Iditarod, a race of almost 1,000 miles. It commemorates the Great Race of Mercy that took place in 1925 when dog sled teams were the only hope of a town that needed life-saving medicine. The race takes 811 days to complete and is run regardless of weather conditions. Teams of twelve or more dogs train with their handlers for years before competing. The race is long and one of the most challenging in the world. Dogs and their handlers must be in top physical condition to have any chance of winning.During the race, the dogs get multiple rest stops and are checked by veterinarians to make sure they avoid injuries. They eat high-fat, high-protein foods to give them the energy to continue, just like the dogs of the arctic explorers did. With the same determination that drove the dogs of the 1925 Great Race of Mercy, the dogs competing in the Iditarod run through even the worst blizzards and race to win.Which reason supports the author's point that dogs and their handlers must be in top physical condition to compete in the Iditarod? Dogsledding is now recognized as a sport, with many competitions throughout the world. Sled dogs need special diets and care to prevent injury or sickness. The race commemorates the extraordinary Great Race of Mercy that took place in 1925. The race is 1,000 miles long and challenging, taking place no matter the weather conditions. 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