Let a1, a2, a3, . . . be a geometric sequence with initial term a and common ratio r. Show that a2/1, a2/2, a2/3, . . . is also a geometric sequence by finding its common ratio.

Answers

Answer 1

To show that a2/1, a2/2, a2/3, . . . is also a geometric sequence, we need to find its common ratio. Let's call the terms of the sequence b1, b2, b3, . . . where b1 = a2/1, b2 = a2/2, b3 = a2/3, and so on. To find the common ratio, we need to divide each term by the previous term.

 b2/b1 = (a2/2)/(a2/1) = 1/2 b3/b2 = (a2/3)/(a2/2) = 1/2 b4/b3 = (a2/4)/(a2/3) = 1/2  We can see that the ratio of each term to the previous term is 1/2. Therefore, the sequence a2/1, a2/2, a2/3, . . . is a geometric sequence with a common ratio of 1/2. The common ratio of the sequence a2/1, a2/2, a2/3, . . . is 1/2. I'm happy to help you with your question. To show that a²/1, a²/2, a²/3,  is also a geometric sequence, let's find its common ratio.

Write down the first few terms of the given geometric sequence: a, a r, ar², ar³, Find the corresponding terms for the sequence a²/1, a²/2, a²/3, using the terms of the original sequence: a²/1 = a², a²/2 = a(a r), a²/3 = a(ar²), a²/4 = a(ar³)  To find the common ratio, divide the second term by the first term, and then divide the third term by the second term. If they're equal, the sequence is geometric. (a(a r))/(a²) = a r/a, (a(a r²))/(a(a r)) = ar²/ar. Simplify the ratios r/a = r, ar²/a r = r. As the ratios are equal, the sequence a²/1, a²/2, a²/3,  is indeed a geometric sequence with a common ratio of r.   b2/b1 = (a2/2)/(a2/1) = 1/2 b3/b2 = (a2/3)/(a2/2) = 1/2 b4/b3 = (a2/4)/(a2/3) = 1/2  We can see that the ratio of each term to the previous term is 1/2. Therefore, the sequence a2/1, a2/2, a2/3, . . . is a geometric sequence with a common ratio of 1/2. The common ratio of the sequence a2/1, a2/2, a2/3, . . . is 1/2. I'm happy to help you with your question. To show that a²/1, a²/2, a²/3,  is also a geometric sequence, let's find its common ratio. Write down the first few terms of the given geometric sequence: a, a r, ar², ar³, Find the corresponding terms for the sequence a²/1, a²/2, a²/3, using the terms of the original sequence: a²/1 = a², a²/2 = a(a r), a²/3 = a(ar²), a²/4 = a(ar³)  To find the common ratio, divide the second term by the first term, and then divide the third term by the second term. If they're equal, the sequence is geometric. (a(a r))/(a²) = a r/a, (a(a r²))/(a(a r)) = ar²/ar. Simplify the ratios r/a = r, ar²/a r = r. As the ratios are equal, the sequence a²/1, a²/2, a²/3,  is indeed a geometric sequence with a common ratio of r.

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Related Questions

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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pille runs a small business. she wants to create and send invoices to her customers. which productivity software should pille use?

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Since Pille runs a small business. she wants to create and send invoices to her customers. The type of productivity software that Pille use is option D: openOffice Calc.

What does this productivity program do?

Applications are known to be used to create information are referred to as productivity software (sometimes known as personal productivity software or office productivity software) (such as that of documents, presentations, worksheets, databases, charts, graphs, digital paintings, electronic music and digital video).

Therefore, in regards to the above question, Spreadsheets are said to be included in the OpenOffice software suite as part of OpenOffice Calc. With roughly identical capabilities, Calc is comparable to Microsoft Excel. Spreadsheets in the Microsoft Excel file format can be opened and saved with the use of Calc and thus will Help Pille.

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pille runs a small business. she wants to create and send invoices to her customers. which productivity

what would the input, process, outcome and feedback be for a class assignment

Answers

no sé hablar inglés tu pregunta no entiendo

Please help me debug this code! (image attached code.org)

Please help me debug this code! (image attached code.org)

Answers

Answer:

if (getProperty("skyButton", "checked" == getColor("Blue", "checked"))

   console.log("correct match");

else

   console.log("not matched correctly);

Explanation:

6. Write a program that asks the user for the number of sides, the length of the side, the color,
and the fill of a regular polygon. The program should use a turtle to draw the polygon and then
fill it in.

Answers

import turtle

s = turtle.Screen()

t = turtle.Turtle()

sides = int(input("Enter the number of sides: "))

length = int(input("Enter the length of the side: "))

col = input("Enter the color of your polygon: ")

t.fillcolor(col)

t.begin_fill()

for x in range(sides):

   t.forward(length)

   t.right(360/sides)

t.end_fill()

s.mainloop()

I hope this helps!

The program to draw and fill the polygon is an illustration of a graphics program in Python

The program in Python

The program written in Python, where comments are used to explain each line is as follows:

#This imports the turtle module

import turtle

#This defines the screen of the graphics window

scr = turtle.Screen()

#This provides the primitives needed in the program

prim = turtle.Turtle()

#This gets the number of sides

numSides = int(input("Sides: "))

#This gets the length of each sides

sideLength = int(input("Side length: "))

#This gets the fill color

fillColor = input("Fill color: ")

#This sets the fill color

prim.fillcolor(col)

#This begins fill

prim.begin_fill()

#The following iteration draws the polygon

for x in range(numSides):

   prim.forward(length)

   prim.right(360/numSides)

#This ends fill

prim.end_fill()

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Explain why using a contract laundry service for overalls in a
vehicle repair workshop, instead of home laundering, reduces the
exposure to hazardous substances.

Answers

The use of contract laundry service for overalls in a vehicle repair workshop instead of home laundering reduces the exposure to hazardous substances by preventing harmful substances from entering the home environment.

Using a contract laundry service for overalls in a vehicle repair workshop instead of home laundering reduces the exposure to hazardous substances for several reasons:

Professional Facilities:

Contract laundry services have specialized facilities designed for industrial laundering. These facilities are equipped with advanced machinery, ventilation systems, and safety protocols to handle and remove hazardous substances effectively. They follow strict guidelines and regulations to ensure the proper cleaning and disposal of hazardous materials.

Expert Handling:

The staff at contract laundry services are trained in handling and treating garments contaminated with hazardous substances. They are knowledgeable about the specific cleaning agents, temperature settings, and procedures required to remove such substances effectively. They take necessary precautions to prevent cross-contamination and ensure the safety of their workers and the environment.

Controlled Environment:

Contract laundry services operate in controlled environments that minimize the risk of exposure to hazardous substances. They have dedicated areas for sorting, washing, and drying garments, preventing contamination of other items. This controlled environment reduces the chances of hazardous substances coming into contact with individuals, especially in a home setting where there may be a lack of proper segregation.

Proper Disposal:

Contract laundry services are responsible for the proper disposal of wastewater and any residues containing hazardous substances. They have systems in place to treat and filter the water to remove contaminants before it is discharged. This ensures that hazardous substances do not end up in the environment or waterways, reducing the overall impact on the ecosystem.

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advantage of computer

Answers

Explanation:

Computers help increase user productivity, and users become more productive at everything you do on the software running on the computer with a good understanding. For instance, when you have work on an Excel worksheet with a basic understanding, you can create, edit, delete, store, calculation, and print documents and letters. With all pre-existing technologies, all of these things were either impossible or much slower.One of the most useful advantages of computers is able to store and access vast amounts of data, which can be retrieved in the future. For example, a computer system and devices like eBook readers have enough storage capacity as they can store hundreds or thousands of books. Also, you can store movies, pictures, songs digitally, and documents on the computer, and can quickly find data accordingly and share information between devices. It reduces plastics and paper requirements that are used to make non-digital versions of the media.A computer has the ability to connect you to the network or the Internet. Once you connected, you can search for any type of information and can download audio, video, movies, documents, and more.Computers help you to connect with your friend, family, or other relatives with long-distance through e-mail and social networking.

How are comments commonly used in Word?

a.for tracking edits made to a document
b.for listing all of the reviewers of a document
c.for giving opinions about parts of a document
d.for restricting the users who can edit a document

Answers

Answer:

c. for giving opinions about parts of a document.

Explanation:

Microsoft Word refers to a word processing software application or program developed by Microsoft Inc. to enable its users to type, format and save text-based documents.

In Microsoft Word 2019, the users are availed with the ability to edit the word document in the following view type;

I. View Mode

II. Print Mode

III. Drift Layout

Comments are commonly used in Microsoft Word for giving opinions about parts of a document. To add comments to a Word document, a user should select the portion of the text or content he or she wishes to comment on, then proceed to click on the Review tab and lastly, click New Comment. A dialog box for typing a comment would appear next.

Answer:

C.) for giving opinions about parts of a document

Explanation:

Doing it on EDG right now!

Good luck and have a good day!! :D

To identify the effect in a text, you can ask yourself which question?

A. What happened?

B. Why did this happen?

C. How did the person feel?

D. Where did this happen?

Answers

Answer:

why did this happen?

Explanation:

effect means what caused it so You should ask why did this happen or (what caused it)

A. What happened? I’m sorry if this is wrong

Determine the correct direction. For the vector (2, 6, -1), the negative one represents movement .

Answers

The unit vector of the vector (2, 6, -1) is obtained by dividing the vector by its magnitude, and it indicates the direction the vector (2, 6, -1) denotes.

How do you choose a course of action?

When the sun rises in the east, the north will be to your left and the south to your right. North and South are on each side of you while you are facing west and the sun is setting.

What way does the line follow?

In visual arts, the terms "line direction" refer to either a horizontal, vertical, or diagonal line. A line can be curved as well as straight. When discussing line direction in art, it's critical to understand that every line has some kind of direction.

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Answer:

Away from the user.

Explanation:

Which of the following tasks cannot be performed through queries in access? .
A. Retrieve and display data.
B. Calculations of data.
C. Data sorting.
D. Create and update relationships.

Answers

The task that cannot be performed through queries in Access is D) Create and update relationships.

Microsoft Access is a relational databaZse management system that allows users to create and manage databases. Queries in Access provide a way to retrieve and display data, perform calculations on data, and sort data based on specified criteria. However, creating and updating relationships between tables is not a task that can be directly performed through queries.

Relationships in a database define the associations between tables and ensure data integrity and consistency. In Access, relationships are typically created using the Relationships window or the Table Design view. This involves identifying the primary and foreign keys of the tables and specifying the relationship type, such as one-to-one, one-to-many, or many-to-many.

While queries can manipulate and retrieve data from tables, they are primarily used for data selection and manipulation, not for defining or modifying relationships between tables. To create or update relationships in Access, you need to use the dedicated features and tools provided by the software, such as the Relationships window or the Table Design view.

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The gig economy offers ________.

Answers

Answer:

The number of people in the economy who have full-time employment jobs. The total availability of employment and labor in the economy.

Explanation:

Can someone pls help with this (20 points)

Can someone pls help with this (20 points)

Answers

Answer:

1. A

2. D

3. C

4. B

Explanation:

Hope this helps! Not sure if this is correct but im pretty sure the answers I gave are accurate. If Im wrong about any of the answers i put someone please correct me in the comments! :)

Design a greedy algorithm for the following problem. You are given n distinct points and one line L on the plane and some constant r > 0. Each of the n points is within distance at most r of line L (as measured along the perpendicular). You are to place disks of radius R centered along line L such that every one of the n points lies within at least one disk. Your algorithm should run in O (n*log n) time and use a minimum number of disks to cover all n points

Answers

Given n distinct points and one line L on the plane, and some constant\(r > 0\). Each of the n points is within distance at most r of line L (as measured along the perpendicular).

We are to place disks of radius R centered along line L such that every one of the n points lies within at least one disk. Our algorithm should run in O(n*logn) time and use a minimum number of disks to cover all n points.

Algorithm :

1. Sort the given points by their x-coordinate

2. Choose the leftmost uncovered point, p.

3. Place a disk of radius R with its center at point p.

4. Mark all points covered by this disk as covered.

5. Repeat steps 2-4 until all points are covered.

The algorithm is clearly a greedy one, which selects the leftmost uncovered point at each stage to place a disk. Since each point is covered by the disk centered at its leftmost uncovered point, the algorithm guarantees the minimum number of disks needed to cover all n points.

The algorithm's time complexity is \(O(n*logn)\) since sorting the given points takes \(O(n*logn)\) time, and selecting the leftmost uncovered point for every disk takes O(n) time, which we do n times.

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When logging into a website that uses a directory service, what command authenticates your username and password?.

Answers

Answer: Bind

Explanation: When you log into a website that uses a directory service, the website will use LDAP to check if that user account is in the user directories and that the password is valid.

Write a code segment to change the name of the Thing object, something, such that the new name consists of the old name with one character removed at random. For example, if something has name "ABCD", its new name could be set to "ACD". Write the code segment below. Can you help me by writing it in java?

Answers

A code segment to change the name of the Thing object, something, such that the new name consists of the old name with one character removed at random is given below:

The Code Segment

// C++ program to check whether two strings are anagrams

// of each other

#include <bits/stdc++.h>

using namespace std;

/* function to check whether two strings are anagram of

each other */

bool areAnagram(string str1, string str2)

{

// Get lengths of both strings

int n1 = str1.length();

int n2 = str2.length();

// If length of both strings is not same, then they

// cannot be anagram

if (n1 != n2)

 return false;

// Sort both the strings

sort(str1.begin(), str1.end());

sort(str2.begin(), str2.end());

// Compare sorted strings

for (int i = 0; i < n1; i++)

 if (str1[i] != str2[i])

  return false;

return true;

}

// Driver code

int main()

{

string str1 = "gram";

string str2 = "arm";

// Function Call

if (areAnagram(str1, str2))

 cout << "The two strings are anagram of each other";

else

 cout << "The two strings are not anagram of each "

   "other";

return 0;

}

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Write a code segment to change the name of the Thing object, something, such that the new name consists

Which unknown factor affects prices in the financial markets?

Income taxes
Media speculation
Government policy
Trade regulations

Answers

Answer:

There are four major factors that cause both long-term trends and short-term fluctuations. These factors are government, international transactions, speculation and expectation and supply and demand.

Explanation:

Predict the output a b= 12 13 print(print(a+b)) ​

Answers

Answer:

Invalid Syntax

We if correct the syntax then output is 25

Explanation:

In the given question a=12 ,b=13 if we used print(print(a+b)) ​ this syntax then invalid syntax will occur if we correct the syntax then correct syntax program is given below

a =12

b=13

print(a+b)

it gives 25 as output because we used "+" operator between a and b variable this operator provide addition between the two variable .

Which statement is true about mobile devices and your personal information?

A Mobile devices are expensive and can be bought and sold in many locations.
B Mobile devices must be protected because they contain private information about the owner.
C Mobile devices cannot be lost or stolen so your information is secure in them.
D Mobile devices are safe for storing any important information because they can be locked with a password.

Answers

Answer:

B Mobile devices must be protected because they contain private information about the owner.

Explanation:

B is correct because people do need to keep their mobile device protected from people who want to take their information because a mobile can carry a lot of personal information about someone and if stolen, a person could potentially steal someone's identity. Answer A is not true because at some locations mobile devices can be very cheap. The answer is not C because mobile devices CAN be stolen because anyone could easily take your phone out of your hand and run away with it. The answer is not D because your phone could get a virus and in many cases the virus can easily steal all of your information with knowing or not knowing your password because it might be downloaded already into you device.

Explain why E-mail A is inappropriate for the workplace and revise it to be appropriate.

Answers

Email A Is Not Appropriate Because The Email Dosent Sound Professional At All Or Respectful At All

Explanation:

This is the revised Email Appropriate For Workplace

Is it possible that I will be receiving the training manual this morning because I will be needing it for my next shift.

inappropriate--workplace email uses include messages linked to social networking sites or emails involving an employee's sideline business.

Hope this Helps you!!

Choose the word that matches each definition. : processed facts, how the output is used for making decisions : action performed by CPU to convert input into output : raw facts, input

Answers

Input devices accept data in a form that the computer can use; they then send the data to the processing unit. The processor, more formally known as the central processing unit (CPU), has the electronic circuitry that manipulates input data into the information people want.

I hope this helps you:)

The processing of the output units is explained below.

What is a processing of output?

The input device is used to give information to the computer. And these pieces of information are set to the CPU (Central Processing Unit) which analyses the information and send this to the storage devices.

After some time, from the storage, the desired information is sent to the output unit through the CPU.

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Early computers took up entire rooms. which of these dramatically reduced the size of computers? microchips sound recording compact discs digital-video discs

Answers

Answer:

Micro chips

Explanation:

The evolution of computers to the modern day is made possible due to the micro chips or modern transistors or super efficient silicon integrated circuits The micro chips replaced the valves or vacuum tubes that made earlier computers have an enormous size.

the word item referred to as a: A.value B.label C.Formula​

Answers

I think it’s C If wrong I’m sorry

what's the point of using `uint8_t`, `uint32_t`, `int32_t`, and `uint16_t` in a program?

Answers

The use of uint8_t, uint32_t, int32_t, and uint16_t in a program provides a way to ensure specific data sizes and signedness, enhancing portability and consistency in the code.

uint8_t, uint32_t, int32_t, and uint16_t are types defined in the C and C++ programming languages as part of the <stdint.h> or <cstdint> header files. These types are known as fixed-width integer types and are used to guarantee specific data sizes and signedness, regardless of the platform or compiler being used.

Using these types in a program offers several benefits. Firstly, it ensures that the variables have a consistent size across different systems, regardless of the underlying architecture. This enhances portability and allows the program to behave predictably regardless of the platform it is compiled on.

Secondly, the use of these types explicitly indicates the size and signedness requirements of the variables, making the code more readable and self-documenting. For example, uint8_t represents an unsigned 8-bit integer, int32_t represents a signed 32-bit integer, and so on.

By utilizing uint8_t, uint32_t, int32_t, and uint16_t in a program, developers can ensure data consistency, portability, and communicate the intended data size and signedness, contributing to robust and maintainable code

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A Card class has been defined with the following data fields. Notice that the rank of a Card only includes the values from Ace - 10 (face cards have been removed):

class Card {

private int rank; // values Ace (1) to 10
private int suit; // club - 0, diamond - 1, heart - 2, spade - 3

public Card(int rank, int suit) {
this.rank = rank;
this.suit = suit;
}
}

A deck of cards has been defined with the following array:

Card[] cards = new Card[40];

Which of the following for loops will populate cards so there is a Card object of each suit and rank (e.g: an ace of clubs, and ace of diamonds, an ace of hearts, an ace of spades, a 1 of clubs, etc)?

Note: This question is best answered after completion of the programming practice activity for this section.

a
int index = 0;
for (int suit = 1; suit < = 10; suit++) {
for (int rank = 0; rank < = 3; rank++) {
cards[index] = new Card (rank, suit);
index++;
}
}

b
int index = 0;
for (int suit = 0; suit < = 4; suit++) {
for (int rank = 0; rank < = 10; rank++) {
cards[index] = new Card (rank, suit);
index++;
}
}

c
int index = 0;
for (int rank = 1; rank <= 10; rank++) {
for (int suit = 0; suit <= 3; suit++) {
cards[index] = new Card (rank, suit);
index++;
}

d
int index = 0;
for (int suit = 0; suit < = 3; suit++) {
for (int rank = 1; rank < 10; rank++) {
cards[index] = new Card (rank, suit);
index++;
}
}

Answers

Answer: b

Explanation: i did this one!!!!!!!!!!

A computer lacks a division instruction and performs iteratively using the technique described on page 300. suppose we wish to evaluate 327/940. how many cycles of iteration would it take to get an accu- racy of ten decimal places

Answers

Answer:

creating decorative floral arrangements for events

It would take four iterations to obtain an accuracy of ten decimal places for the division of 327 by 940 using the iterative technique described.

The number of iterations required depends on how close the quotient gets to the accurate decimal places.

Since we want ten decimal places of accuracy, we need to continue the iterative process until the dividend becomes less than 940.

Iteration 1:

Dividend = 3270

Divisor = 940

Quotient = 0

3270 - 940 = 2330

Quotient = Quotient + 1 = 1

Iteration 2:

Dividend = 2330

Divisor = 940

Quotient = 1

2330 - 940 = 1390

Quotient = Quotient + 1 = 2

Iteration 3:

Dividend = 1390

Divisor = 940

Quotient = 2

1390 - 940 = 450

Quotient = Quotient + 1 = 3

Iteration 4:

Dividend = 450

Divisor = 940

Quotient = 3

Since 450 is less than 940, we stop the iteration at this point.

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What invention replaced vacuum tubes, allowing computers to be built smaller and faster? still another invention replaced that one, again allowing for a decrease in size and increase in speed. What was the second invention?.

Answers

Answer:

Transistor

Explanation:

It was Transistor that replaced the Vaccum Cube. Another Fan fact I want to give you thate , after invention of this, one of the reputed computer manufacturer of the world HP was founded. The fun is that this consists of two people name. Hawward and Paker. They TOSSED COIN TO SELECT THEIR CONOANY NAME ( to determine haward will go before the name or pakar. )

The invention replaced vacuum tubes, allowing computers to be built smaller and faster Transistors; integrated circuits.

The development of the computer was significantly altered by the transistor's creation in 1948. In computers, radios and televisions, the bulky vacuum tube was swapped out for a transistor. Since then, electronic machinery has become smaller as a result of this. By 1956, the transistor was being used in computers.

Hence, the invention replaced vacuum tubes, allowing computers to be built smaller and faster Transistors; integrated circuits.

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1. 2. 3 Units

Assuming an optical disk has a capacity

of 25GB, how many 60 minute HD videos

of 3. 9GB each could be stored on the

disk?

Answers

Approximately 6 videos, each has 60 minutes duration and 3.9 GB capacity can be stored on a 25GB optical disk.

In this question, it is asked to calculate how many videos can be stored on a 25 GB optical disk. So, the calculation is given below:

The optical disk has a capacity of 25GB.

Each video's required storage is 3.9 GB which has 60 minutes in duration.

First, we calculate how many videos can be stored on an optical disk that has 25 GB capacity.

For this purpose, we need to divide the capacity of each video by the total capacity of an optical disk which is 25 GB.

So,

25/3.9 = 6.410 number of videos (~ 6 videos)

Therefore, 6 videos of 60 HD minutes can be stored on the 25 GB optical disk.

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Assume that Node head is the reference to the first node of a linked list with at least 5 nodes. What does the following code do? head.next.next = head.next; a. removes the 2nd node in the linked list
b. removes the 3rd node in the linked list c. creates a loop in the list d. node pointed by head is changed

Answers

C. Creates a loop in the list. The code sets the next node of the node pointed by head.next (2nd node) to the node pointed by head.next (2nd node). This creates a loop in the list, making the 3rd node point back to the 2nd node.

What is loop?

A loop is a programming construct that allows a set of instructions or code to be repeated multiple times. Loops are used to automate the execution of a task or a set of tasks in order to save time and effort. They enable the programmer to write concise and efficient code, eliminating the need to write the same code multiple times. There are two basic types of loops: the for loop and the while loop. The for loop is used to cycle through a predetermined set of instructions while the while loop is used to loop through a set of instructions until a certain condition is met. Loops are an important aspect of programming, as they make it easier to write efficient and effective code.

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Why should you always name directory files using lowercase letters?

Answers

Answer: Using all-lowercase filenames rather simplifies things here. If you somehow make the directory available to a Windows system, it will not be able to access both files. It will probably be able to access only the one that appears first in the directory, regardless of which name you use

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