if ma mod n = x then (ma)2 mod n equals

Answers

Answer 1

If ma mod n = x then (ma) 2 mod n equals None of the above

How to solve the problem

Given the equation: ma mod n = x

You're asking for what (ma * 2) mod n equals to.

Because of distributive properties, (ma * 2) mod n = (2ma) mod n

The operation should distribute over the sum before applying the modulus operation. This would be the same as taking 2*x mod n because ma mod n = x.

So, the correct result is (2x) mod n.

None of the options provided:

(x + x) mod n

(x + x)^2 mod n

(x*x) mod n

match the correct result, which is (2x) mod n.

So, the best answer with the provided options is "None of the above".

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Complete question

If ma mod n = x then (ma) 2 mod n equals

(x + x) mod n

(x + x)2 mod n

(x*x) mod n

None of the above


Related Questions

what does the "nbt" part of "nbtscan" stand for?

Answers

The "nbt" part of "nbtscan" stands for "NetBIOS over TCP/IP." NetBIOS (Network Basic Input/Output System) is a networking protocol used for communication between devices on a local area network (LAN).

It provides services for naming, session establishment, and message transfer between devices. NetBIOS over TCP/IP (NBT) is a method of encapsulating NetBIOS messages within TCP/IP packets, allowing NetBIOS-based applications to communicate over TCP/IP networks.

The "nbtscan" tool is a network scanning tool that specifically focuses on scanning and gathering information related to NetBIOS-enabled devices on a network. It can identify and collect NetBIOS-related information such as hostnames, IP addresses, MAC addresses, and other details from NetBIOS-enabled devices.

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to answer the questions in this test, which type of memory recall will you most frequently use?

Answers

To answer questions in a test, you will most frequently use episodic memory recall.

Episodic memory recall is the type of memory retrieval that involves recalling specific events or experiences from the past. When answering questions in a test, you rely on your ability to recall and retrieve relevant information stored in your episodic memory.

Episodic memory enables you to remember specific details, facts, or events that you have personally experienced or learned. It allows you to recall information such as dates, names, places, and other specific details that are necessary for answering test questions accurately.

By accessing your episodic memory, you can retrieve and recall information relevant to the questions being asked, allowing you to provide accurate and specific responses based on your previous experiences, knowledge, and learning.

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T/F: a member of a co-culture who refuses to interact with members of the dominatn culturue is engaging in an accomidation strategy

Answers

False. Refusing to interact with members of the dominant culture as a member of a co-culture is not an accommodation strategy.

The statement presented is false. When a member of a co-culture refuses to interact with members of the dominant culture, it does not align with an accommodation strategy. Accommodation refers to a communication strategy employed by individuals from co-cultures to adapt and adjust their communication behaviors to be more in line with the dominant culture.

In an accommodation strategy, individuals may modify their language, accent, nonverbal cues, or communication style to assimilate or fit into the dominant culture. It involves adapting one's behavior to reduce cultural differences and foster smoother communication and integration.

Refusing to interact with members of the dominant culture is more likely indicative of a strategy of separation or withdrawal, where individuals consciously distance themselves from the dominant culture. This can be a response to feelings of marginalization, discrimination, or a desire to maintain cultural identity and autonomy.

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What is not a common form of data mining analysis?

Answers

One type of data mining analysis that is not commonly used is cluster analysis. Cluster analysis involves grouping similar data points together based on similarities in their attributes.

While it can be useful in certain contexts, it is not as widely used as other types of data mining analysis, such as classification, regression, and association rule mining. This is because it can be difficult to interpret the results of cluster analysis, and it may not provide as much insight into the underlying patterns and relationships within the data.

Additionally, it may require more complex algorithms and techniques to implement effectively. Overall, while cluster analysis can be a valuable tool in certain situations, it is not as commonly used in the field of data mining as other types of analysis.

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when you delete a section break, what happens to the formatting of the text before the break?

Answers

When you delete a section break in a document, the formatting of the text before the break remains unchanged. In a document, section breaks are used to divide the document into different sections, each with its own formatting settings such as page orientation, margins, headers, footers, and page numbering.

When you delete a section break, the formatting of the text before the break is not affected. The purpose of a section break is to allow different formatting settings within a document. Deleting a section break does not automatically merge the formatting of the two sections on either side of the break. Instead, the formatting of the text before the break remains intact.

If you delete a section break and want the formatting to be consistent throughout the document, you may need to manually adjust the formatting settings or apply a new section break with the desired formatting properties. Deleting a section break simply removes the structural division between sections, but the formatting of the text before the break remains unchanged unless you make further adjustments.

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A query's specifications providing instructions about which tables to include must be entered on the:
Table row of the query design grid.

Show row of the query design grid.

Criteria row of the query design grid.

Sort row of the query design grid.

Answers

  The specifications for a query's instructions about which tables to include must be entered on the "Table" row of the query design grid. This is where the tables or database objects that the query will use are selected and added.

  The "Table" row of the query design grid allows users to specify the tables they want to include in their query. By selecting the desired tables from the available options, users can define the data sources for their query. Each table represents a distinct source of data, and by including multiple tables, users can perform complex operations that involve data from different sources.

  By entering the tables on the "Table" row, users define the foundation of their query, determining which datasets will be accessed and joined together. Once the tables are selected, users can proceed to specify the criteria, sorting, and other parameters of the query to retrieve the desired information from the selected tables.

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to minimize the effect of echo, a device called a(n) ____ can be attached to a line. A.) echo supressor B.) repeater C.) amplifier D.) hub

Answers

Answer:

A) echo suppressor

Explanation:

a control structure alters the normal sequential flow of execution in a program.a. trueb. false

Answers

The statement is true. A control structure in programming is a construct that allows the alteration of the normal sequential flow of execution in a program.

Control structures enable programmers to make decisions, repeat certain actions, and control the flow of code execution based on certain conditions or criteria. By using control structures, such as conditionals (if-else statements) and loops (for, while, do-while), programmers can introduce branching and repetition in their programs. These structures enable the program to execute different sets of instructions based on specific conditions or repeatedly execute a block of code until a certain condition is met. Control structures are fundamental in programming as they provide the means to create flexible and dynamic algorithms by controlling the order and conditions under which different parts of the code are executed.

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to take action as long as a condition remains true, you use a

Answers

A while loop is a programming structure that allows a program to repeatedly execute a set of instructions as long as a certain condition remains true. The loop will continue to run until the condition is false.

Here is an example of a while loop in Python that prints out numbers from 1 to 10:
```
i = 1
while i <= 10:
   print(i)
   i += 1
```

In this example, the while loop will continue to run as long as the variable "i" is less than or equal to 10. The "print(i)" statement will execute each time the loop runs, and then the value of "i" will be incremented by 1 with the "i += 1" statement. This loop will output the numbers 1 through 10.

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Software that enters a computer system without the user's knowledge or consent and then performs an unwanted and usually harmful action is called
virusware
malware
hackware
attackware

Answers

The software that enters a computer system without the user's knowledge or consent and performs an unwanted and usually harmful action is called malware.

Malware is a broad term used to describe malicious software that is designed to infiltrate and compromise computer systems, often without the user's knowledge or consent. It encompasses various types of harmful programs, including viruses, worms, Trojan horses, ransomware, spyware, and adware. Malware is typically created by attackers with malicious intent, such as stealing sensitive information, damaging or disrupting computer systems, gaining unauthorized access, or conducting fraudulent activities. It can spread through various means, such as infected email attachments, malicious websites, software downloads from untrusted sources, or exploiting vulnerabilities in operating systems or software.

Once malware infects a computer system, it can perform a range of unwanted actions, including data theft, system hijacking, unauthorized access, unauthorized modification or deletion of files, monitoring user activities, displaying unwanted advertisements, or launching further attacks. Protecting against malware requires the use of antivirus software, regular software updates, strong security practices, and cautious online behavior to minimize the risk of infection and mitigate the potential harm caused by such malicious software.

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Which term defines a number used by the operating system to track all the running programs?A. Private port numberB. Process ID (PID)C. SocketD. Dynamic port number

Answers

The term that defines a number used by the operating system to track all the running programs is B. Process ID (PID).

A Process ID (PID) is a unique numerical identifier assigned by the operating system to each running process or program. The PID allows the operating system to track and manage various processes concurrently. It provides a way for the operating system to distinguish and manage individual programs, allocate system resources, and facilitate inter-process communication. Private port numbers, socket, and dynamic port numbers are not specifically used by the operating system to track running programs but rather relate to network communication and port allocation in networking protocols.

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A. Prove that any comparison-based algorithm to sort 4 elements requires 5 comparisons. Hint: use the proof of the general lower bound for sorting) B. Give an algorithm to sort any sequence of 4 elements in at most 5 comparisons. C. Demonstrate your algorithm on one of its worst-case inputs (an input that requires all 5 comparisons).

Answers

Given that we have 4 elements, applying the general lower bound, we find that we need at least 4-1 = 3 comparisons to sort 4 elements.

How to Demonstrate your algorithm

Now, to provide an algorithm that sorts any sequence of 4 elements in at most 5 comparisons, we can use the following approach

Now, let's demonstrate the algorithm on a worst-case input where all 5 comparisons are required. Consider the input [4, 3, 2, 1]. The algorithm proceeds as follows:

Compare 4 and 3. (Comparison 1)

Compare 2 and 1. (Comparison 2)Compare the larger of 4 and 3 (4) with the smaller of 2 and 1 (1). (Comparison 3)Compare the smaller of 4 and 3 (3) with the larger of 2 and 1 (2). (Comparison 4)Compare 3 and 2. (Comparison 5)

In this worst-case scenario, all 5 comparisons are necessary to sort the input sequence.

Therefore, we have proven that any comparison-based algorithm to sort 4 elements requires at least 5 comparisons, and we have provided an algorithm that sorts any sequence of 4 elements in at most 5 comparisons.

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the members of which built-in security group possess no additional capabilities in windows 8.1?

Answers

In Windows 8.1, the built-in security groups serve to manage user accounts and system resources. Each security group has a specific set of privileges and access rights that determine what actions its members can perform. Among the built-in security groups in Windows 8.1 are the Administrators group, the Users group, and the Guests group.

The members of the Guests group are the users who possess no additional capabilities in Windows 8.1. This group is designed for temporary or untrusted users who need to access the system without being able to make significant changes or modifications to it. Members of the Guests group cannot install software, modify system settings, or change user accounts.
By default, new user accounts in Windows 8.1 are added to the Users group, which has more capabilities than the Guests group but fewer than the Administrators group. Members of the Users group can run most applications, modify their own user accounts, and access shared resources on the local network.
In summary, the members of the Guests group possess no additional capabilities in Windows 8.1. They have limited access rights and are unable to make significant changes to the system. Other built-in security groups, such as the Administrators and Users groups, have different levels of access rights and privileges depending on their roles and responsibilities.

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Which file systems does not have built-in security?

Answers

Answer:

File Allocation Table (FAT) does not have built-in security.

Explanation:

have a nice day.

Which keywords cannot be used to modify an existing table?

Answers

Keywords that cannot be used to modify an existing table in the context of databases and SQL queries include:

CREATE: The CREATE keyword is used to create a new table or other database objects, not to modify an existing table.

ALTER: The ALTER keyword is used to modify the structure or properties of an existing table, such as adding or dropping columns, changing data types, or modifying constraints.

INSERT: The INSERT keyword is used to insert new rows of data into an existing table, but it does not modify the structure or properties of the table itself.

DELETE: The DELETE keyword is used to remove rows of data from an existing table, but it does not modify the structure or properties of the table.

DROP: The DROP keyword is used to delete an entire table, including its structure and data, rather than modifying an existing table.

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which term is consistent with feedback that is provided to an individual through the person’s own sensory systems as a result of the movement?

Answers

Intrinsic feedback, also known as proprioceptive feedback, is the term consistent with feedback that is provided to an individual through their own sensory systems as a result of movement. This type of feedback allows individuals to understand and adjust their movements without relying on external sources of information.

Intrinsic feedback originates from various sensory receptors located within muscles, tendons, and joints, which help the person's brain to monitor their body's position, movement, and force during physical activities. This feedback system plays a crucial role in motor learning and skill development, as it helps individuals to refine their motor control and coordination. By receiving immediate, internal feedback from their sensory systems, individuals can make adjustments to improve their performance and prevent injuries. In contrast, extrinsic feedback is information provided by external sources, such as coaches or other individuals, who offer guidance or critique based on their observations. Both intrinsic and extrinsic feedback are important in the overall process of learning and refining motor skills.

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Below is a class hierarchy for card games. Assuming that these are the only classes and that the concrete classes are correctly completed, which of the following non-member functions are polymorphic?
class Hand {
std::vector cards;
public:
void add(const Card&);
Card get(size_t index) const;
virtual int score() const;
};
class PokerHand : public Hand { . . . };
class BlackjackHand : public Hand { . . . };
class GoFishHand : public Hand { . . . }; void draw(const PokerHand* h) { . . . }
None of these are polymorphic.
void draw(const Hand h) { . . . }
Correct Answer void draw(const Hand& h) { . . . }
void draw(const GoFishHand& h) { . . . }

Answers

Among the provided non-member functions, the only polymorphic function is void draw(const Hand& h) in the class hierarchy for card games.

Explanation:

Polymorphism refers to the ability of objects of different derived classes to be treated as objects of their common base class. In the given class hierarchy, the base class Hand has virtual function score(), making it polymorphic. Consequently, any derived classes that inherit from Hand will also exhibit polymorphic behavior.

Among the non-member functions, void draw(const Hand& h) is polymorphic because it accepts a reference to a Hand object, which can be an instance of the base class or any of its derived classes (PokerHand, BlackjackHand, or GoFishHand). This function allows for dynamic dispatch, meaning that the appropriate draw implementation will be called based on the actual type of the object passed at runtime.

The other non-member functions (void draw(const PokerHand* h) and void draw(const GoFishHand& h)) are not polymorphic since they accept specific derived class types as arguments, limiting their applicability only to those specific types.

Therefore, the correct answer is void draw(const Hand& h) as the only polymorphic function among the provided non-member functions in the given class hierarchy

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You need to create an access list that will prevent hosts in the network range of 192.168.160.0 to 192.168.191.0. Which of the following lists will you use?A. access-list 10 deny 192.168.160.0 255.255.224.0B. access-list 10 deny 192.168.160.0 0.0.191.255C. access-list 10 deny 192.168.160.0 0.0.31.255D. access-list 10 deny 192.168.0.0 0.0.31.255

Answers

The correct access list to prevent hosts in the network range of 192.168.160.0 to 192.168.191.0 would be:

A. access-list 10 deny 192.168.160.0 255.255.224.0This access list denies the range of IP addresses from 192.168.160.0 to 192.168.191.0 using a subnet mask of 255.255.224.0. This mask covers the desired range and prevents any hosts within that range from accessing the specified resources or network. The other options do not accurately define the desired range or use incorrect subnet masks.

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TRUE/FALSE. as a rule of style, when writing an if statement you should indent the conditionally-executed statements

Answers

TRUE. As a rule of style, when writing an if statement, you should indent the conditionally-executed statements.Indentation is an important aspect of code styling that helps to make the code more readable and easier to understand.

Indentation is the process of aligning the code blocks in a way that shows the relationship between them. In Python, indentation is used to define code blocks, and it is especially important when writing if statements.
When you write an if statement, the conditionally-executed statements should be indented to show that they are part of the if block. This makes it clear to the reader that these statements are executed only when the if condition is met.
For example:

```
if x > 5:
   print("x is greater than 5")
   print("This statement is also executed when x > 5")
```In the above code, the conditionally-executed statements (print statements) are indented to show that they are part of the if block. If the condition is not met, these statements will not be executed.

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Consider the following snippet of code, Assume $t0 and $t1 are initialized to 0 and 100, respectively.

loop: beq $t0, $t1, exit
addi $t0, $t0, #1
lw $s0, 32($0)
add $s2, $s1, $s0
add $s2, $s2, #2
B loop

exit:...

1) What are the effective total number of instructions in this snippet?
2) Point out all hazard/dependencies in this code. Draw the timing diagram for one iteration on all 3 architectures.

Describe your answers and conclusions briefly

3) What are the total number of clock cycles this code snippet will take to run on a single cycle, multicycle and pipelined architecture? How will these numbers change if forwarding is enabled? Assume that branch mispredictions result in a pipeline flush penalty that adds 5 extra clock cycles.

4) Also calculate the CPI for each of the conditions mentioned above, for all three architectures.

Answers must be presented as a neat table, and your scratch work must also be attached or typed below.

If the delay for each stage is as follows:

IF - 50ps, ID - 70ps, EX - 100ps, MEM- 150ps, WB - 100ps

5) What is the execution time of one single iteration on all 3 architectures with and without forwarding?
6) What is the total execution time of the entire code on all 3 architectures with and without forwarding

Answers

The effective total number of instructions in this snippet is 6.

Hazards/dependencies in the code:

a) Data hazard between the addi instruction and the lw instruction. The result of the addi instruction is needed as an operand for the lw instruction.

b) Data hazard between the lw instruction and the first add instruction. The result of the lw instruction is needed as an operand for the add instruction.

c) Control hazard due to the branch instruction. The branch instruction depends on the comparison result of the beq instruction.

Timing diagram for one iteration on all 3 architectures:

Single-cycle architecture:

IF ID EX MEM WB

| | | | |

|beq |addi | | |

| |lw |add | |

| | | |add |

| | | | |

Multi-cycle architecture:

IF ID EX MEM WB

| | | | |

|beq | | | |

| |addi | | |

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which of the following groups can be used to create a batch of invoices for multiple customers?

Answers

The "Customer Group" can be used to create a batch of invoices for multiple customers.

When generating invoices for multiple customers simultaneously, grouping them based on a specific criterion can streamline the process. By utilizing the "Customer Group" feature, you can categorize customers into different groups based on shared characteristics or criteria. This allows you to generate invoices for a specific group of customers, simplifying the task of creating batches of invoices.

It provides flexibility and efficiency in managing invoicing processes, especially when dealing with a large number of customers or specific customer segments that require distinct invoicing treatments.

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a shopping bot is one of the simplest examples of an intelligent agent.

Answers

A shopping bot can be considered one of the simplest examples of an intelligent agent.

An intelligent agent is a software program or system that can perform tasks autonomously, make decisions, and interact with its environment to achieve specific goals. A shopping bot, also known as a shopping agent or shopping assistant, is designed to assist users in finding and purchasing products online.

The shopping bot utilizes various technologies, such as web scraping, natural language processing, and machine learning, to gather information about products, compare prices, and provide recommendations based on user preferences. It can automate the process of searching for products, retrieving relevant information, and even completing purchases on behalf of the user.

The simplicity of a shopping bot lies in its focused task of assisting with online shopping. Compared to more complex intelligent agents, such as virtual personal assistants or autonomous robots, shopping bots have a narrower scope and operate within a well-defined domain. Nonetheless, they still exhibit intelligent behavior by analyzing data, making decisions, and providing personalized recommendations to enhance the shopping experience.

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another common name for a web beacon is a ____________, which tracks user activities.

Answers

Another common name for a web beacon is a​ web bug, which tracks user activities. Therefore, the correct answer option is: B. web bug.

What is a web browser?

In Computer technology, a web browser can be defined as a type of software application (program) that is designed and developed to enable an end user view, access and perform certain tasks on a website, especially when connected to the Internet.

In Computer technology, web browsers are typically designed and developed to save website information in their cache, which helps the website to load faster on future visits.

In conclusion, a web bug is designed and developed to tracks user activities and it is also referred to as a web beacon.

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Complete Question:

Another common name for a web beacon is a​ ______, which tracks user activities. A. worm. B. web bug. C. fire fly. D. Trojan horse

suppose we have a 4096 byte byte-addressable memory that is 64-way high-order interleaved, what is the bit-size of the memory address module offset field? question 17 options: a. 12
b. 6
c. 10
d. 8

Answers

Answer:

a) 12

Explanation:

In a 64-way high-order interleaved memory, the memory is divided into 64 equal-sized sections, and the memory address is divided into two parts: the index and the offset. The index selects the specific section of memory to be accessed, and the offset selects the specific byte within that section.

Since the memory is byte-addressable, the offset field needs to be able to address each of the 4096 bytes in the memory section.

4096 can be represented by 2^12, so we need 12 bits to address each byte.

Therefore, the bit-size of the memory address module offset field is 12.

So the correct answer is (a) 12.

if you wanted to set up a blog, which software would be most helpful?

Answers

Answer:

WordPress

Explanation:

I did this question already

Please mark this answer brainliest!

what mode allows you to clip through blocks and see others but you are invisible to other players?

Answers

The mode that allows you to clip through blocks, see others, and be invisible to other players is commonly known as "Spectator Mode" in many popular multiplayer video games.

In Spectator Mode, players have the ability to freely fly through the game world, passing through blocks and obstacles without any collision detection. This mode grants the player the ability to explore the environment from different perspectives and observe the gameplay of other players or entities. While in Spectator Mode, players are typically invisible to other players, allowing them to observe the game without interfering or being detected by others.

Spectator Mode is often used in multiplayer games for various purposes, such as game moderation, recording gameplay footage, or simply exploring the virtual world. It provides a unique perspective and a different gameplay experience, allowing players to have a more passive and observational role rather than actively participating in the game's mechanics.

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web pages have a standard addressing system known as a(n) , which allows them to be located on the internet.

Answers

Web pages have a standard addressing system known as a Uniform Resource Locator (URL), which allows them to be located on the internet.

A Uniform Resource Locator (URL) is a standardized addressing system used to identify and locate resources on the internet. It consists of several components that provide specific information about the location and access method of a web page or resource. A typical URL includes a protocol (such as HTTP or HTTPS), followed by the domain name (e.g., www.example.com) and additional path and query parameters. The URL serves as a unique identifier for a web page, enabling users and web browsers to access and retrieve the desired content from a web server. By using the URL, web pages can be located and accessed across the internet, facilitating seamless navigation and information retrieval.

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if you forgot the password you used to protect an excel worksheet how do you reset it

Answers

Unfortunately, if you cannot recall the password utilized for safeguarding an Excel worksheet, there is no innate mechanism available to reset it.

Why can't you retrieve passwords here?

Excel lacks a straightforward process to retrieve or reset passwords assigned to worksheets. There exist external software applications on the internet that purport to have the capability of retrieving or eliminating passwords from Excel documents.

To find these applications, utilize phrases like "Excel password retrieval" or "Excel password eraser." It's important to note that the efficiency and dependability of these software could vary. Therefore, exercise prudence and only download them from reputable sources.

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_____________- are commonly used tools to perform session hijacking.

Answers

Answer:

Ettercap

Explanation:

A tool used to perform session hijacking is Ettercap.

Remember:

Keep Smiling and Have a good day! :)

The ______ was important to radio technology because it allowed radio signals to be amplified.a. telephonyb. Hertzc. Audion vacuum tubed. cathode ray tubee. electromagnetic wave

Answers

The  Audion vacuum tube was important to radio technology because it allowed radio signals to be amplified.

The Audion vacuum tube, also known as the triode, was an important invention in radio technology because it allowed for the amplification of radio signals. Before the Audion vacuum tube, radio signals could only travel short distances and were difficult to detect.

With the invention of the Audion vacuum tube, radio signals could be amplified, allowing them to travel further distances and making them easier to detect. This breakthrough in radio technology led to the development of commercial radio broadcasting and paved the way for many of the technological advancements we see today.

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Other Questions
in karney and bradbury's vulnerability-stress-adaptation model, a long period of unemployment that a couple experiences may be described as: gaps in memory of a personal nature often occur, and are not associated with typical forgetting Fair skies and light winds are typical of. the eye of the hurricane. The diameter of a hurricane is typically ______ that of an extra-tropical cyclone. according to mcclelland, the most important needs for managers are the needs for Careers in Social Media require great communication skills. The purpose of this assignment is to highlight those skills and reflect on the effective communication skills necessary for a successful Social Media Marketing strategy.Read the articles below and create a one or two paragraph answer that reflects on the key learning from these articles."You are using Social Media all Wrong""The Three Most Important Personal Branding skills to have""9 Skills Every Social Media Manager Must have""10 Social Media Strategies for Corporate Communication Today" Choose the frequency of a peak that is most likely to correspond to an O-H stretch in an IR spectrum. A) 3400 cm^-1 B) 3050 cm^-1 C) 2950 cm^-1 D) 2250 cm^-1 E) 1750 cm^-1 reduce the given system to echelon form to find a single solution vector such that the solution space is the set of all scalar multiples of . What represents an external source of new-product ideas? Is the letter C an important part of the Irish alphabet? In which of the following market structures would a firm expect to have the most price setting power?a. Perfect Competitionb. Duopolyc. Oligopolyd. Monopoly in gestalt therapy, the relationship between client and counselor is seen as: what is the primary reason that a segment of the u.s. population is uninsured? identify the sampling technique used in the given scenario. an epa contractor needs to test the concentration of a substance in ten samples of the ground water. there are ten districts in the region to be tested, each with several testing sites. the districts have varying qualities, such as industrial water usage and population size. The Prince Who Learned Wisdom1 There once lived a prince who would someday become the ruler. Study hard, my boy, his father advised him. You will require an excellent education when you are crowned king.2 The prince took these words to heart and studied hard every day, until one day, a thought came to him. My teachers give me a lot of useful knowledge, but I wonder if I am gaining the wisdom that a ruler needs. He decided the answer was no. To gain wisdom, he would require a new plan.3 The prince informed his father that he wanted to visit a nearby country whose philosophers were said to be very wise. He would ask them to teach him their wisdom. The king considered this idea to be very foolish. Wisdom comes only from a good education, he declared firmly. Your teachers are preparing you very well. Still, he agreed to let his son go, even giving the young man some gold coins for his journey. Neither suspected that the princes search would end up taking him in a very different direction.4 Early the next morning, the prince set out. To avoid attracting attention, he dressed in ordinary clothes and carried his belongings on his back like anyone else. As he strode along, he whistled a cheerful tune, happy to be traveling on his own.5 By afternoon, his stomach was growling loudly, so he sat down in a nearby field to eat his lunch. The warm sun stroking his cheek and the soft breeze whispering in his ears made him drowsy.6 The prince was awakened suddenly by the crackling of dry leaves. A thief was scurrying away with his pack! He was too far away to catch, so the prince was forced to go on without it. (Luckily, the gold coins were hidden safely inside his coat.) He continued, pondering what had occurred. As he was thinking deeply, he came to a realization. Anything can happen when you sleep outside. When I become the ruler, I must make sure that everyone in my kingdom has a safe place to sleep. Then he laughed. That fellow gave me a bit of wisdom!7 As evening approached, it began to rain heavily. With a great distance remaining and his feet soggy, the prince stopped at an inn. Aching with hunger, he welcomed the scents of fresh bread and savory stew that met him at the door. After a hearty, delicious meal, he climbed the stairs to his room, blew out the candle, and crawled peacefully into bedbut not for long. CREEEEEAK! A young woman tiptoed into the shadowy room and quietly picked up the princes boots. As she tried to creep out again, the prince leaped up, blocked her way, and yelled for the innkeeper. When the man arrived, the outraged prince informed him that the woman had been stealing his boots.8 No, she wasnt, the innkeeper replied, shaking his head vigorously. She was taking them downstairs to the fire so they would dry before morning. Im sorry if my daughter disturbed you.9 Feeling embarrassed, the prince quickly gave the daughter a gold coin as an apology. Back in bed, he reflected on what had happened. When I am king, I must be sure to get all the facts before I make a judgment, he concluded. Then, laughing, I never expected to acquire wisdom in a village inn!10 The following day, instead of continuing, the prince returned the way he had come. He did not stop until he was inside the palace.11 Back already? exclaimed his father. You cant possibly have made it even to the border. Why did you give up your plan?12 Father, replied the prince earnestly, in just two days, I gained enough wisdom to know that it was not the most advantageous plan. I now realize there is no need to seek wisdom in distant places. I have learned that wisdom can be discovered anywhere by simply paying attention and learning from personal experiences. Hearing this response, the king smiled and nodded with satisfaction at his young son.13 From that day forward, the prince made a point of leaving the palace at least twice a week to observe and listen to what was happening among the people. When the time came for him to become king, he was a very wise ruler indeed.Read the sentence from the text."Neither suspected that the prince's search would end up taking him in a very different direction."Why did the author include this sentence near the beginning of the text? Support your answer with two details from the text. (Use RADD; Restate, Answer, Detail #1 , Detail #2 let z be a standard normal random variable. what is the value of z where f(z) = .15? Let R be the region bounded by the graph of y = sin(x) and y = 0 between x = 0 and x = pi. The region R is the base of the solid. For this solid, the cross-sections are perpendicular to the x-axis and equilateral triangles. Find the volume of the solid to the near thousands place. Do not use the shell method. Show your complete solution. fentanyl (sublimaze) is categorized as which type of intravenous anesthetic agent? (f) find the present value of an investment that will pay $7,500 at the end of years 10, 11, and 12. use a discount rate of 14 percent. $answer 5,355 one advantage of stimulating aggregate supply rather than aggregate demand is that increases in aggregate supply group of answer choices tend to take effect more quickly than increases in aggregate demand. automatically cause increases in the money supply. can reduce both the price level and real gdp at the same time. can reduce unemployment and inflation at the same time. according to monetarists, increases in government spending Information used to identify an individual is called_____________A. Personally Identifiable InformationB. Proprietary DataC. Sensitive DataD. Protected/Personal Health Information