Given an unweighted graph G = (V, E), and a starting node s, let δ(s, v) be the length of the shortest path in terms of the number of edges between s and v. Design an algorithm that computes the number of distinct paths from s to v that have length exactly δ(s, v). Give the running time of your algorithm (a "fast" algorithm is required).
Algorithm: Describe your algorithm.
Correctness: Justify the correctness of your algorithm.
Running Time: Give and justify (informally) the worst-case running time of your algorithm.

Answers

Answer 1

AlgorithmDescription: Given an unweighted graph G=(V, E), and a starting node s, let δ(s, v) be the length of the shortest path in terms of the number of edges between s and v. Design an algorithm that computes the number of distinct paths from s to v that have length exactly δ(s, v).

Correctness:We will prove the correctness of our algorithm by induction on the length of the path between s and v.Lemma 1: If there are no edges between s and v, then c(s,v)=0 and the algorithm is correct. This is trivial since there are no paths from s to v.Lemma 2: If δ(s,v)=1, then c(s,v)=1 and the algorithm is correct. This is also trivial since there is only one path of length 1 from s to v.Lemma 3: If δ(s,v)=2, then c(s,v)=∑u∈NC(u,v), where NC(u,v) denotes the set of vertices that are adjacent to v and not adjacent to s. Proof: Let w be a vertex in NC(u,v), and let p be the path from s to u of length 1.

Since the length of the path from s to v is 2, we must have that there is an edge (u,v) and hence the path from u to v has length 1. Then, the path from s to w of length 2 is obtained by concatenating the path from s to u of length 1 with the edge (u,v) and the path from v to w of length 1. Therefore, we can count the number of paths from s to w of length 2 by counting the number of vertices in NC(u,v) and summing over all vertices in this set. By the inductive hypothesis, the algorithm correctly counts the number of paths of length 1 from s to u, and the number of paths of length 1 from u to v.

By adding these counts, we obtain the number of paths of length 2 from s to v. Hence the algorithm is correct when δ(s,v)=2. Running Time:Let m=|E| and n=|V|. The DFS algorithm takes O(m+n) time. To count the number of paths, we need to traverse each edge at most once, and we do not need to store any information at each vertex. Therefore, the time required to count the number of paths is also O(m+n). Thus the running time of our algorithm is O(m+n).

We have designed an algorithm that correctly computes the number of distinct paths from s to v of length exactly δ(s,v) in O(m+n) time for an unweighted graph G=(V,E).

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Related Questions

Users and stackholders in Extreme Programming are interested in the eventual results but have no direct responsibility for the deliverables.
True
False

Answers

The given statement "Users and stackholders in Extreme Programming are interested in the eventual results but have no direct responsibility for the deliverables" is FALSE because both users and stakeholders play an active role in the software development process, ensuring that the deliverables meet their needs and expectations.

Users are often involved in providing feedback, testing, and validating features, while stakeholders may participate in planning sessions, progress reviews, and prioritization of tasks.

This collaboration between users, stakeholders, and the development team is critical to XP's success, as it promotes transparency, effective communication, and alignment of goals, resulting in a higher-quality final product.

Therefore, it is incorrect to say that users and stakeholders have no direct responsibility for the deliverables in XP.

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A stack is an appropriate data structure to use when you want to process items in the opposite order in which they are received. A common application is to use stacks to track back operations or manage undo operations in a programming or text editor. True/False

Answers

In conclusion, the statement "A stack is an appropriate data structure to use when you want to process items in the opposite order in which they are received" is true.

"A stack is an appropriate data structure to use when you want to process items in the opposite order in which they are received" is a True statement.

A stack is a linear data structure that operates in a last-in, first-out (LIFO) manner, where items are added and removed from the top of the stack. Stacks are widely used in software programming to store and organize information. It is one of the most important data structures in computer science.A stack is an appropriate data structure to use when you want to process items in the opposite order in which they are received. The application of stacks is very wide and is used in a variety of fields. In computing, stacks are used to manage function calls, store local variables, manage CPU registers, and perform other tasks. In text editors, stacks are used to manage the undo operation. The user's edits are pushed onto a stack, and when the user requests an undo, the stack is popped and the most recent edit is undone.

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Why do you think a graphic designer might have a hard time seeing eye to eye with a copywriter?

Answers

Answer:

brainliest me plsss

Explanation:

Graphic designers may not see eye to eye with a copywriter because they already work so closely together they may clash heads on ideas when it comes to blending the text and graphics to complete the final details on a project.

the gui components and related software take up how much space on a typical linux installation?

Answers

The amount of space taken up by GUI components and related software on a typical Linux installation can vary depending on the distribution and the specific software installed.

The amount of space taken up by GUI components and related software on a typical Linux installation can vary depending on the distribution and the specific software installed. However, it is safe to say that the GUI components and related software can take up a significant amount of space on a Linux installation.
Most Linux distributions come with a default GUI, such as GNOME or KDE, which includes various software components such as a file manager, a web browser, a text editor, and a terminal emulator. These components can take up several gigabytes of space on the hard drive.
In addition to the default GUI, users can install additional software packages to enhance the functionality of their Linux system. These packages can include media players, graphics editors, office applications, and other software tools. The space required by these packages can vary widely depending on the size and complexity of the software.
Overall, the amount of space taken up by GUI components and related software on a typical Linux installation can range from a few gigabytes to several tens of gigabytes. However, the exact amount can vary depending on the specific distribution and software packages installed.

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Ignore this it a temporary note for me: SPSstudents

Answers

Answer:

okk

Explanation:

what is the formula for computing future value with continuous compounding? multiple choice question.

Answers

The formula for determining the future value when continuously compounding is represented by FV = PV e^(rt), where FV stands for future value, PV stands for present value, r is the interest rate, and t is the time frame measured in years.

How is compounding determined?

The first principle amount is multiplied by one, the annual interest rate is added, the number of compound periods is subtracted, and finally, one is added. The resulting value is then deducted from the original principal balance of your loan. I stands for interest rate, P stands for principal, and n represents the number of compounding periods.

The amount that a balance can earn while interest is always accruing is demonstrated via continuous compounding. This enables investors to figure out how much they can expect to get back on a loan that earns interest that is compounded continuously.

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Will give Brainliest.

Use the drop-down menus to complete the statements about message flagging.
The (Flag message, Add flag, Follow up) command is used for message flagging.
When you “flag” a message, it will display as a task with a flag icon in the (Reading pane, To-Do bar, Events list).
Flagged messages can be customized by renaming the task, adding a due date, and setting (Colors, Reminders, Sort order).
Clicking (Mark complete, Unflag message, Remove flag) will remove the flagged message/task from the To-Do list.

Answers

Answer:

Use the drop-down menus to complete the statements about message flagging.  

The  

Follow up command is used for message flagging.  

When you “flag” a message, it will display as a task with a flag icon in the  

To-Do bar

.

Flagged messages can be customized by renaming the task, adding a due date, and setting  

reminders

.

Clicking  

Mark Complete

will remove the flagged message/task from the To-Do list.

Explanation:

Answer:

1. Follow up

2. To-Do bar

3. reminders

4. mark complete

Explanation:

The follow up command is used for message flagging.

When you "flag" a message, it will display as a task with a flag icon in the To-Do bar.

Flagged messages can be customized by renaming the task, adding a due date, and setting reminders.

Clicking mark complete will remove the flagged message/task from the To-Do list.

Explain the expression below
volume = 3.14 * (radius ** 2) * height

Answers

Answer:

Explanation:

Cylinder base area:

A = π·R²

Cylinder volume:

V = π·R²·h

π = 3.14

R - Cylinder base radius

h - Cylinder height

hy does payments constitute such a large fraction of the FinTech industry? (b) Many FinTech firms have succeeded by providing financial services with superior user interfaces than the software provided by incumbents. Why has this strategy worked so well? (c) What factors would you consider when determining whether an area of FinTech is likely to tend towards uncompetitive market structures, such as monopoly or oligopoly?

Answers

(a) lengthy and complex processes for making payments (b)  legacy systems and complex interfaces (c) regulatory requirements and substantial initial investment, can limit competition

(a) Payments constitute a significant portion of the FinTech industry due to several factors. First, traditional banking systems often involve lengthy and complex processes for making payments, leading to inefficiencies and higher costs. FinTech firms leverage technology and innovative solutions to streamline payment processes, providing faster, more secure, and convenient payment options to individuals and businesses. Additionally, the rise of e-commerce and digital transactions has increased the demand for digital payment solutions, creating a fertile ground for FinTech companies to cater to this growing market. The ability to offer competitive pricing, improved accessibility, and enhanced user experience has further fueled the growth of FinTech payment solutions.

(b) FinTech firms have succeeded by providing financial services with superior user interfaces compared to incumbents for several reasons. Firstly, traditional financial institutions often have legacy systems and complex interfaces that can be challenging for users to navigate. FinTech companies capitalize on this opportunity by designing user-friendly interfaces that are intuitive, visually appealing, and provide a seamless user experience. By prioritizing simplicity, convenience, and accessibility, FinTech firms attract and retain customers who value efficiency and ease of use. Moreover, FinTech companies leverage technological advancements such as mobile applications and digital platforms, allowing users to access financial services anytime, anywhere, further enhancing the user experience.

(c) Several factors contribute to the likelihood of an area of FinTech tending towards uncompetitive market structures such as monopoly or oligopoly. Firstly, high barriers to entry, including regulatory requirements and substantial initial investment, can limit competition, allowing a few dominant players to establish market control. Additionally, network effects play a significant role, where the value of a FinTech service increases as more users adopt it, creating a competitive advantage for early entrants and making it challenging for new players to gain traction. Moreover, data access and control can also contribute to market concentration, as companies with vast amounts of user data can leverage it to improve their services and create barriers for potential competitors. Lastly, the presence of strong brand recognition and customer loyalty towards established FinTech firms can further solidify their market position, making it difficult for new entrants to gain market share.


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Alice just wrote a new app using Python. She tested her code and noticed some of her lines of code are out of order. Which principal of programing should Alice review?

Hand coding
Line coding
Planning & Analysis
Sequencing

Answers

Answer:

Sequencing

Explanation:

I have taken the test

Keith needs to import data into an Access database from a text file. Which option is the most common delimiter and easiest to work with?

Answers

Answer:tab

Explanation:

Cause I got it right

Answer:

The answer is a comma.

Explanation:

This is the correct answer because space and tab are not delimiters. Therefore it has to be either comma or semicolon and a semicolon is bigger and harder to navigate around. So this gives you the answer of a comma.

Which of the following is true of an effective anti-harassment and
complaint policy?
It should be vague about which types of behavior are considered harassment.
It should make clear that all complaints will be made public.
It should be written in clear, simple language.
It should discourage reporting of harassment.

Answers

It needs to be written in basic, straightforward language. All employees should be able to quickly understand an effective policy's definition of harassment and its associated penalties.

Which prevents harassment most successfully?

reassuring staff members that raising issues or asking questions won't result in punishment; Making sure managers are aware of their obligation to stop, address, and prevent harassment; immediately and effectively responding to queries or concerns about harassment; conducting investigations into allegations of harassment

What is the policy against harassment?

The anti-discrimination and anti-harassment policy safeguards officers and staff against discrimination and harassment based on, among other things, colour, ethnicity, sex, age, sexual orientation, and gender identity. Also, it shields employees, especially officers, against harassment, including sexual harassment.

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PLEASE HELP!!! THIS IS DUE TODAY!! WILL MARK BRAINLIEST!!
Two examples of good digital citizenship, and provide your reasoning as to why they are good.

Answers

Answer:

1. Respecting rules and cookies while browsing a website.

2. Being kind and properly following the requirements the owner asks you to follow. Reporting any sort of comment or image that is hurtful/harmful.

Explanation:

1. By the rules and cookies for a website, you ensure the safety of your device  and are not putting any information at risk.

2.  Cyberbullying is a huge issue and you can reduce cyberbullying with the simple steps of being kind and respecting others.

Conclusion:

These rules are examples of good digital citizenship and following them will benefit you and your peers greatly.  

Example 1. Learning to type, use a mouse, and other computer skills.

Explanation: This is a good example of digital citizenship because by learning these skills it allows you to actively engage with others digitally and even give them pointers with their own learning.

Example 2. Avoiding harassment or hateful speech while conversing with others online.

Explanation: This is a good example of digital citizenship because by avoiding harassment or hateful speech you are contributing to making the digital world a safer place for everyone.

hopefully this deserves brainliest :)

One of the most common uses of spreadsheet programs are communicating with others. O editing images and photos. O tracking and manipulating data. O creating meeting agenda notes.​

Answers

Answer:        tracking and manipulating data.

Explanation: A spreadsheet is nothing more than a large ledger like the ones accountants and office workers used years ago. It was a ruled paper that data and information was entered on in order to keep track of money, inventory, and other information.  Adding or subtracting from one column would change the totals and values overall. Now, with computers we have the electronic version and store the data on disc, flash drive or other connected media.

Answer:

 tracking and manipulating data.

Explanation:

Which of the below would provide information using data-collection technology?

Buying a new shirt on an e-commerce site
Visiting a local art museum
Attending your friend's baseball game
Taking photos for the school's yearbook

Answers

The following statement would provide the information by utilising data-collection technology: Buying a new shirt on an e-commerce site.

What is data collection?
The process of obtaining and analysing data on certain variables in an established system is known as data collection or data gathering. This procedure allows one to analyse outcomes and provide answers to pertinent queries. In all academic disciplines, including the physical and social sciences, the humanities, and business, data collecting is a necessary component of research. Although techniques differ depending on the profession, the importance of ensuring accurate and truthful collection does not change. All data gathering efforts should aim to gather high-caliber information that will enable analysis to result in the creation of arguments that are believable and convincing in response to the issues that have been addressed. When conducting a census, data collection and validation takes four processes, while sampling requires seven steps.

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attempting to access an array element out of the bounds of an array, causes a(n) group of answer choices arrayelementoutofboundsexception arrayoutofboundsexception arrayexception arrayindexoutofboundsexception

Answers

Accessing an array element out of the bounds of an array will cause an ArrayIndexOutOfBoundsException.

An array is a list of elements stored in a specific order, and each element is accessed by its index. If you attempt to access an element with an index that is outside of the array's range, it will cause an exception.

An array is a collection of similar data types that are stored together in contiguous memory locations under the same name. The value in an array is called an array element, which is a separate data value that is stored in an array. Each element in an array is referenced by an index number, with the first element being stored at index 0. When you try to access an element of an array with an index value that is outside the valid range, you will receive an ArrayIndexOutOfBoundsException.

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A student has a ten-year-old desktop computer that she only uses for word processing, but she would like to start using it to play new computer games. She has been working and has money saved up, and she can either upgrade the computer or purchase a new one to replace the old one.________
The school’s theater department uses a desktop computer for accounting purposes only — to keep track of costume purchases, fund-raising dollars, and the number of hours volunteers, students, and teachers participate in the production. The computer is only three years old, but it is running slow. It appears as though there are just too many pictures from past productions on the hard drive.___________

replace
upgrade

Answers

Answer:

She should buy a new one or buy a Gaming PC to upgrade the setup.

Explanation:

Answer:

replace

upgrade

Explanation:

im doing edge too it might not be right tho

Amazon.com purchases flat screen computer monitors from HP for $275.59 and sells them for $449.99. What is the amount of markup?

Answers

Answer: 82%

Explanation:

$ 449.99- $ 275.59= % 224.40

$ 224.40/ $ 275.59*100= 81.4253057078

A baseball class stores the number of hit, the number of at bats, and the players name. The class should have appropriate
variables, multi-argument constructor and the following methods:

printBattingAverage() that prints the players batting average ( # of hits/ # of at bats)

toString() that returns a sentence describing the players statistics

Make a tester class. Make an object of the baseball class, you can make up your own literals for the info. Then call both
methods.

(In Java)

Answers

Using the knowledge of computational language in JAVA it is possible to write a code that baseball class stores the number of hit, the number of at bats, and the players name.

Writting the code:

class BaseballPlayer{

private int hits;

private int atBats;

private String name;

//constructor

public BaseballPlayer(String n,int h,int a){

name=n;

hits=h;

atBats=a;

}

public void printBattingAverage(){

double battingAverage=hits/(double)atBats;

System.out.println(battingAverage);

}

public String toString(){

return name+": "+hits+"/"+atBats;

}

}

public class BaseballTester

{

public static void main(String[] args) {

BaseballPlayer babeRuth=new BaseballPlayer("Babe Ruth",2873,8399);

System.out.println(babeRuth);

//call printBattingAverage function

babeRuth.printBattingAverage();

}

}

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A baseball class stores the number of hit, the number of at bats, and the players name. The class should

what digital tool do programmers and software developers use to improve efficiency and improve relevance to our searches?

Answers

The digital tool that programmers and software developers use to improve efficiency and relevance to our searches is known as Search Engine Optimization (SEO).

Search engine optimization (SEO) is a technique that website owners and digital marketers use to improve their website's visibility on search engine results pages (SERPs). It's also a way to boost your website's organic (non-paid) traffic. SEO is a critical component of any digital marketing strategy, and it is vital to understand how it works if you want to drive more traffic to your website.Search engine optimization is essential because most internet users rely on search engines to find what they're looking for.

When users type in a keyword, the search engine generates a list of websites that are relevant to the search term. The higher a website appears in the SERPs, the more likely it is to receive organic traffic.To conclude, Search Engine Optimization is the digital tool that programmers and software developers use to improve efficiency and relevance to our searches.

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when was technology created?

who start it?

and finally how it started?


free coins
just answer

Answers

Answer:

two million years ago

Thomas Edison, American inventor who, singly or jointly, held a world-record 1,093 patents. In addition, he created the world's first industrial research laboratory.

Explain at least two benefits and two risks to the development of facial recognition technology.
What is your opinion? Do you think the benefits outweigh the risks or that the risks are more concerning than the benefits in regard to facial recognition. Explain at least two reasons for your answer.

Answers

Answer:

The benefits would be no longer identity crimes and unnecessary human interaction with devices. The downfall would be threats to privacy and a potential breach of your data.

Explanation:

I believe that the benefits outweigh the risks because your data couldn't be as much of a threat to expose when certain devices have "Blink" on them. Which would be to blink during your facial recognition to ensure that it is not a photo.

Hope this helps:)

did someone hang themselves on set of wizard of oz

Answers

No - its a rumour that has been going around since the films 50th anniversary in 1989.

given a string matrix we in that need to find the
number which is occured two times or more than two times and and
give the sum of those numbers
Sample input::
[1 3 4
3 6 8
8 6 8]
Output:
3+8=11"
Plea

Answers

Given a string matrix, we need to find the number that occurred two times or more than two times and give the sum of those numbers. In order to do this, we can take the following approach:We can convert the string matrix into an integer matrix. We can create an empty dictionary. We will iterate through each element in the matrix.

If the element is not present in the dictionary, we will add it with the value 1. If the element is already present in the dictionary, we will increment its value by 1. After iterating through the matrix, we will iterate through the keys of the dictionary and add the sum of the keys whose values are greater than or equal to 2. The sum of these keys will be the desired output.

Here is the implementation of the above approach in Python: matrix = [[1, 3, 4], [3, 6, 8], [8, 6, 8]]d = {}# Convert string matrix to integer matrix for i in range(len(matrix)):    for j in range(len(matrix[i])):        matrix[i][j] = int(matrix[i][j])# Populate dictionary with occurrences of each number for i in range(len(matrix)):    for j in range(len(matrix[i])):        if matrix[i][j] not in d:            d[matrix[i][j]] = 1        else:            d[matrix[i][j]] += 1# Calculate sum of numbers that occurred 2 or more times sum = 0for key in d:    if d[key] >= 2:        sum += key print(sum) In the given problem, we have a matrix of strings and we need to find the numbers that occurred two or more times and sum them up. To solve this problem, we first need to convert the string matrix into an integer matrix. We then need to iterate through each element in the matrix and populate a dictionary with occurrences of each number in the matrix.

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In PKI, the CA periodically distributes a(n) _________ to all users that identifies all revoked certificates.

Answers

Answer:

" CRL (certificate revocation list)" is the appropriate answer.

Explanation:

A collection of such subscriber bases containing accreditation or certification status combined with the validation, revocation, or outdated certification within each final customer is known as CRL.Only certain subscribing workstations with a certain underlying cause authentication system should have been duplicated.

lets see if anyone knows what the word below means lol and put it in ur own words don't copy on Google I wanna see something.

constitution ​

Answers

Answer:

. Constitution is a principle of law of Nation

The checksum doesn't compute for a packet sent at the Internet Protocol (IP) level. What will happen to the data?

Answers

Answer:

As the data computed in the form of modules such as 23456, then every sixteen positions will have the same values. Checksum doesn't cover all the corrupted data over the network, so unchecked corruption does not occur due to undetected technique.

Explanation:

The checksum is the error detection technique used to determine the integrity of the data over the network. Protocols such as TCP/IP analyzed that the received data along the network is corrupted. Checksum value based on the data and embed frame. The checksum used a variety of data and performed many types of data verification. Files include the checksum and check the data integrity and verify the data. Both Mac and Window include the programs and generate the checksum. But sometime checksum does not detect the error over the internet and cause unchecked.

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Using Python, create a function for the cost to buy a car with the following arguments:

-Initial Price

-Sales Tax

Sales Tax is about 4.2% in Virginia, 7.3% in California, and 6.3% in Texas.

Find the cost of buying a car with an initial cost of $22,000 in Virginia.

Find the cost of buying a car with an initial cost of $30,000 in Texas.

Find the cost of buying a car with an initial cost of $50,000 in California.

Answers

def getCarPrice(initialCost, salesTax):

return initialCost*(1+salesTax)

x = getCarPrice(22000, 0.042)

y = getCarPrice(30000, 0.063)

z = getCarPrice(50000, 0.073)

unix can be mastered by novice programmers in a matter of weeks. T/F?

Answers

The statement "unix can be mastered by novice programmers in a matter of weeks" is False.  Mastering Unix requires a significant amount of time and practice, even for experienced programmers.

While novices can certainly start learning Unix in a matter of weeks, achieving mastery usually takes a longer period. Unix has a vast range of functionalities, command-line tools, and concepts to grasp, which can take considerable time and practice to fully understand and utilize effectively.

Additionally, becoming proficient in Unix often involves learning shell scripting, file system navigation, process management, and other advanced topics.

Mastery of Unix generally requires continuous learning, hands-on experience, and exposure to various real-world scenarios over an extended period. So, the statement is False.

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7.3 code practice edhesive

Answers

I am guessing this is wht u asked for

def print_sum(a,b,c):

print(a+b+c)

one = int(input("Enter the 1st number: "))

two = int(input("Enter the 2nd number: "))

three = int(input("Enter the 3rd number: "))

print_sum(one,two,three)

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cual es un aspecto cultural que pertenezca tu comunidad Find the stantard equation of tho cirde passing through a given point with a given center. The equation in standard fo is Center (7,4) and passing through (5,3) (Simpily your answee) By 1900, the only two African nations that remained independent were __________.A.South Africa and TanzaniaB.Rwanda and the Democratic Republic of the CongoC.Liberia and EthiopiaD.Libya and EgyptPlease select the best answer from the choices providedABC D * This question should be answered in 1500 words.1. Executive Summary of Bangladesh's instant noodle business.2. Introduction of Bangladesh's instant noodle business3. Create a brand positioning bull's eye of the instant noodle business in Bangladesh.4. Create a Pricing Strategy in instant noodle business in Bangladesh.5. Conclusion in instant noodle business in Bangladesh. please help will give brainliest to whoever answers! describe some developmental changes in a child's brain and explain why maturation accounts for many of our similarities Find, in radical form, the length of a diagonal ofa square if the perimeter of the square is 20. Whats the length of the third side of the right triangle? C bao nhiu gi tr nguyn ca tham s m phng trnh 4^x +4^-x = 2^ (x+1) 2^(1-x) +4-m c nghim trn on [0;1] Analysing the working principles of stepper motor, explain the operation mode of a two-phase, 5-rotor poles hybrid stepper motor with the aid of a truth table. Consider that each of the phases are energised. (14 marks) (b) A stepper motor has a resolution of 500 steps/rev in the 1-phase-ON mode of operation. Analysing the operation of the stepper motor in half-step mode, calculate: (i) Resolution (2 marks) (ii) Step angle (2 marks) (iii) Pulse rate required to obtain a rotor speed of 300rpm (4 marks) (iv) Number of steps required to turn the rotor through 72 (3 marks) What point of view is described in the sentence below?The author describes any characters and events from the outside.First-person point of viewThe second-person point of viewThird-person point of viewNone of the choices X-7;x=23. I NEED help Which boston celtics basketball legend won the nba most valuable player award in 1984, 1985 and 1986? Whats the slope of the line ? The reaction takes place in a closed system. What is true about the carbon atoms in the reaction?. Ryan spent 35% of his money on snacks at the concession stand. If he spent $4.20, how much money did he have before buying snacks? what is 56+32 distributive property to factor out the greatest common factor. Which of the following topics is frequently covered during patient education?a. Mental healthb. Transportation needsc. Billing questionsd. Medication management Synthetic plant creates fuel from sunlight 4 subject verb errors Brad has 10 lb of oranges to make 12 bowls of fruit salad. His recipe requires 12 oz of oranges for each bowl. Does Brad have enough oranges? Please answer....