How to determine if the function f(x) = x^2 + 3 from real numbers to real numbers is Injective, surjective, or bijective

Answers

Answer 1

Answer:

The function is not injective.

The function is not surjective.

The function is not bijective.

Explanation:

A function f(x) is injective if, and only if, [tex]a = b[/tex] when [tex]f(a) = f(b)[/tex].

So

[tex]f(x) = x^{2} + 3[/tex]

[tex]f(a) = f(b)[/tex]

[tex]a^{2} + 3 = b^{2} + 3[/tex]

[tex]a^{2} = b^{2}[/tex]

[tex]a = \pm b[/tex]

Since we may have [tex]f(a) = f(b)[/tex] when, for example, [tex]a = -b[/tex], the function is not injective.

A function f(x) is surjective, if, and only if, for each value of y, there is a value of x such that [tex]f(x) = y[/tex].

We have that y is composed of all the real numbers.

Here we have:

[tex]f(x) = y[/tex]

[tex]y = x^{2} + 3[/tex]

[tex]x^{2} = y - 3[/tex]

[tex]x = \sqrt{y-3}[/tex]

There is only a value of x such that [tex]f(x) = y[/tex] for [tex]y \geq 3[/tex]. So the function is not surjective.

A function f(x) is bijective when it is both injective and surjective. So this function is not bijective.


Related Questions

Does Kennesaw State University have any computing ethical policy for computer usage? If so - what is it?

Answers

Answer:

The answer to the questions: Does Kennesaw State University have any computing ethical policy for computer usage? If so - what is it? Would be as follows:

1. Yes, Kennesaw State University, a university in Georgia, does have a computing ethical policy that regulates the proper use of the facilities and computing services within the facilities of the university and the use of computing equipment that belongs to the university. This policy is known as the KSU Computer Usage Policy.

2. As said before this policy establishes that the use of computing services are not the right of a person, but rather a privilege afforded to the students, faculty and other people who are present in the university and who may need to use its computing services. The use of the computing services would be whitin this policy as long as it stays inside the delimitations established by federal, state and University policies.

Explanation:

_________ is used in planning situations that involve much uncertainty, like that of IT in general and e-commerce in particular.
a. Key performance indicators (KPIs)
b. Scenario planning
c. Critical success factors (CSFs)
d. Balanced scorecard

Answers

Answer:b)Scenario planning

Explanation: Scenario planning is the strategy that is made for the generation of long term plan in an organization. It is also known as the scenario analysis . This is flexible technique in which helps the well structured and well managed future of organizations.

This tool considers the uncertainty and uncontrollable events that might happen in future and thus , these situation are analysed and acknowledged.

Other options are incorrect because Key performance indicator are for providing the key factor about the performance of organization, critical success factor are for achieving positive outcome and balanced scorecard is type of management plan framework.Thus the correct option is option(b).

. Use one command to create a /sales directory with the permissions of 770

Answers

Answer:

mkdir -m 770 sales

Explanation:

The command mkdir is used to create a directory and the attribute or flag

-m is used to  assign permissions on create a folder.

Example:

mkdir -m 770 sales

Create a folder with permissions 770 with name sales

A __________ is an information system that produces all kind of reports and interprets information so it can be used by concerned people to make decisions.

DSS (Decision Support System)
MIS (Management Information system
EIS (Expert Information System)
TPS (Transaction Processing System)
2400

Answers

Answer: Decision support system (DSS)

Explanation:

 Decision support system is the process in which the information model basically support the managers in the process of the decision making.

It is an information system and produces various reports and also interprets the data and information so that it help to make decisions.

The decision support system (DSS) is basically carried out by the management by reviewing all kinds of the report and then generate necessary data or information.

On the other hand, all the other options are incorrect as they are not related to the decision making process. Therefore, DSS is the correct option.

Write a program that will ask the user to enter personal information and then will display it back to the user.

First, the program will ask the user to enter name. Then it will ask the user to enter address. Then it will ask the user to enter phone number. Then it will ask the user to enter email. At the end, it will display the user

Answers

Final answer:

A simple Python program prompts the user to enter personal information such as name, address, phone number, and email, then displays it back. It's essential to handle personal data responsibly and to check privacy policies in real applications.

Explanation:

The question is asking for a simple program that collects and displays personal information. Here is an example of how such a program can be written in Python:

# Ask for personal information
name = input('Please enter your name: ')
address = input('Please enter your address: ')
phone_number = input('Please enter your phone number: ')
email = input('Please enter your email: ')

# Display the information back to the user
print('\nHere is the information you entered:')
print('Name:', name)
print('Address:', address)
print('Phone Number:', phone_number)
print('Email:', email)

This program will prompt the user to enter their name, address, phone number, and email. It will then display this information back to the user. Remember to handle personal information responsibly and refer to privacy policies when handling such data in real applications.

What is TCP/IP's Transport layer's primary duty?

Answers

Answer:

 The TCP/IP is the transmission control protocol and internet protocol and in the TCP/IP model the transport layer is the second layer.

The primary responsibility of this layer is that it is basically used to deliver messages to the host and that is why it is known as end to end layer.

It basically provide the point to point connection between the destination to server host for delivering the various types of the services efficiently and reliably.

In the TCP/IP model the transport layer are basically responsible for transferring the data or service error free between the server to destination host.

Another ball dropped from a tower A ball is again dropped from a tower of height h with initial velocity zero. Write a program that asks the user to enter the height in meters of the tower and then calculates and prints the time the ball takes until it hits the ground, ignoring air resistance. Use your program to calculate the time for a ball dropped from a 100 m high tower

Answers

Answer:

// here is code in C++.

#include <bits/stdc++.h>

using namespace std;

// main function

int main()

{

   // variable

   double height;

   // gravitational acceleration

   double g=9.8;

   cout<<"Please enter initial height:";

   cin>>height;

   // h=ut+(gt^2)/2

   // here u, initial velocity is 0

   // after simplification

   double t=sqrt(2*height/g);

   // print the time

   cout<<"time taken by ball to hit the ground is:"<<t<<" seconds"<<endl;

   

return 0;

}

Explanation:

Read the initial height from user. Declare and initialize the earth gravitational acceleration "g=9.8" .Then the equation is h=ut+(gt^2)/2, here u is initial velocity which is 0.Then after simplify the equation t=sqrt(2*h/g). Put the values in the  equation and find the time taken by ball to hit the ground.

Output:

Please enter initial height:100

time taken by ball to hit the ground is:4.51754 seconds

Final answer:

A Python program calculates the time a ball takes to reach the ground when dropped from a given height, illustrating basic principles of free fall in physics. For a 100 m tower, the time is approximately 4.51 seconds.

Explanation:

A student has asked to write a program that computes the time it takes for a ball to hit the ground when dropped from a tower of height h meters, assuming no air resistance. The formula to calculate the time t is derived from physics: t = √(2h/g), where g is the acceleration due to gravity, approximately 9.81 m/s². Using this formula, we candevelop a program in Python to ask the user for the height h and then compute and print the time t. To demonstrate, if the program is used with a tower height of 100 meters, the calculated time for the ball to reach the ground would be approximately 4.51 seconds.

Example Python Program

import math

def drop_time_from_height(height):
   g = 9.81  # Gravity in m/s²
   time = math.sqrt(2 * height / g)
   return time

height = float(input("Enter the height of the tower in meters: "))
time = drop_time_from_height(height)
print("The ball takes", round(time, 2), "seconds to hit the ground.")

This program illustrates a straightforward approach to solving problems related to free fall and physics calculations, enhancing the understanding of concepts such as gravity and acceleration.

While the concept of ____ has well served scientists who share scientific text files and application developers who exchange code, the greater use has been in downloading artistic files, such as music and video files.

VPNs

LANs

point-to-point file protocol

peer-to-peer (P2P) file sharing

Answers

Answer: peer-to-peer (P2P) file sharing

Explanation: Peer-to-peer file sharing is the technique in which networking technology is used for the sharing and distribution of the files digitally. The sharing of the files are in the form of movies, games music etc.

Peer are considered as the nodes which are the end-user so, the end-user to end-user file transfer is done through this technology.

Other options are incorrect because VPN(virtual private network) is the connection between network and client over less secure network,LAN (Local area network) is the network that can be established for single infrastructure to connect  and point to point protocol is protocol for the routers for communication.Thus the correct option is P2P file sharing.

Which of the following statements is/are true? (Points : 5) A. A default constructor is automatically created for you if you do not define one.
B. A static method of a class can access non-static members of the class directly.
C. An important consideration when designing a class is identifying the audience, or users, of the class.
None of the above
Only A and C

Answers

Answer: Only A and C

Explanation: Default constructor is a constructor that has parameters with the values that are default or has no arguments/parameter present. Default constructor is not declared in the class rather it gets generated by itself when not defined.

Class is defined with data members, functions, objects etc are considered as per the requirement given by the user .It is the user defined concept.

Statement (B) is incorrect because static method is used for accessing the static members of the particular class and manipulate the value of it.

Thus, only statement (A) and (C) are correct.

Why is String final in Java?

Answers

Answer:

string objects are cached in string pool.

Explanation:

Strings in Java are immutable or final because the string objects are cached in String Pool.As we know multiple clients share the string literals so there exists a risk of one client's action affecting all other clients.

For ex:-The value of string is "Roast" and client changed it to "ROAST" so all other clients will see ROAST instead of Roast.

The first step in building a sequence diagram is to _____. (Points : 6) analyze the use case
identify which objects will participate
set the lifeline for each object
add the focus of control to each object's lifeline

Answers

Answer: Set the lifeline of each object

Explanation:

 The sequence diagram is the efficient way that use in the system requirement document for the system design.

The sequence diagram is useful in many system that shows the interaction of the logic between the each object in the system.

The first step for building the sequence diagram is that set the lifeline of the each object in the system and it allow the main specification in the run time scenarios in the graphical manner. Therefore, it enhance the performance of the system.

how to import any csv from internet in phyton 3 and R ?

Answers

Answer:

Jgthj

Explanation:

T to it t urd864rb. I5f. 8rfb 75gj

____ coordinates activities related to the Internet’s naming system, such as IP address allocation and domain name management. National Center for Supercomputing Applications (NCSA) Web Consortium (W3C) ICANN (Internet Corporation for Assigned Names and Numbers) Internet Society (ISOC)

Answers

Answer: ICANN (Internet Corporation for Assigned Names and Numbers)

Explanation: ICANN (Internet Corporation for Assigned Names and Numbers) is the a US base government organization which runs on the non-profit scheme. The function of the ICANN is to maintain stability of internet operation and function,process based on consensus ,managing the domain name, naming internet components etc.

Other options are incorrect because National Center for Supercomputing Applications (NCSA) is for supporting and providing powerful computer, Web Consortium (W3C) is for development of standard of web and Internet Society (ISOC) works for internet based standard for development.

Which of the following is NOT a good idea to do after you change the root password?
(a) Restart the MySQL Service.
(b) Write down the new password in a safe place.
(c) Keep the change password file on the server in case you need to change the password again.

Answers

Answer:

C) Keep the change password file on the server in case you need to change the password again

What is a foreign key and how does it provide referential integrity?

Answers

Answer:

By definition a foreign key of table A is a primary key of another table B, thereby establishing a link between them.

To provide referential integrity you can use these referential actions:

Cascade: If rows in table B are deleted, the matching foreign key columns in table A are deleted. Set Null: If rows in table B are deleted, the matching foreign key columns in table A are set to null. Set Default: If rows in table B are deleted, the matching foreign key columns in table A are set with the default value of the column. Restrict: A value in table B cannot be deleted or updated while as it is referred to by a foreign key in table A.

"What does the list look like after this code executes?

colors = "red,orange,yellow,green,blue"
s = colors.split(",")

["red", "orange", ""yellow", "green", "blue"]

["red orange yellow green blue"]

[red,orange,yellow,green,blue]

red

Answers

Answer:

The list created by the split method in Python 3 will be ["red", "orange", ""yellow", "green", "blue"]

Explanation:

In Python 3, the split method takes the input string, in this case is colors = "red,orange,yellow,green,blue", and split it into a list and you can indicate the separator that the method will use.

The general syntax for this method is:

string.split(separator,max)

separator indicates the character that will be used as a delimiter of each list member and the max parameter indicates the maximum number of separations to make.  

Since each color in your string is separated by the character "," the code will make a list in which every color is a separated string.

. Within data mining, what it it’s robustness?

Answers

Answer:

Data mining is the extraction/mining of the required/ actual data from the raw data .Rest of the data that is not required is eliminated in this process.It is used in the many field such as research, scientific, etc.

Robustness in the data mining field is for defining the strong nature of the data .This feature is responsible for stability of the data even at the occurrence of the error.The resistance shown by the data towards the problem makes the data robust .

Which one is the fastest? (Points : 4) TTL
CMOS
ECL
They are the same

Answers

Answer: ECL

Explanation:

  ECL is basically stand for the emitter coupled logic and it is the high speed integrated logic circuit. In this ECL logic circuit, the transistor does not enter in the saturation mode.

In the emitter coupled logic, the output resistance are low and the input emitter impedance are high so, the state of the transistor are get changes quickly. Hence, it is fastest device as compared to all other options.

Therefore, ECL is the correct option.

Write a program that asks the user to enter five different, integer numbers. The program then reports the largest number and the smallest number.

Use the if statement, but no loops.

Answers

Answer:

// here is code in C++.

#include <bits/stdc++.h>

using namespace std;

// main function

int main()

{

// variables

  int minn=INT_MAX;

   int maxx=INT_MIN;

   int n1,n2,n3,n4,n5;

   cout<<"enter five Numbers:";

   //read 5 Numbers

   cin>>n1>>n2>>n3>>n4>>n5;

   // find maximum

   if(n1>maxx)

    maxx=n1;

    if(n2>maxx)

    maxx=n2;

    if(n3>maxx)

    maxx=n3;

    if(n4>maxx)

    maxx=n4;

    if(n5>maxx)

    maxx=n5;

   // find minimum

   if(n1<minn)

    minn=n1;

    if(n2<minn)

    minn=n2;

    if(n3<minn)

    minn=n3;

    if(n4<minn)

    minn=n4;

    if(n5<minn)

    minn=n5;

   // print maximum and minimum

   cout<<"maximum of five numbers is: "<<maxx<<endl;

   cout<<"minimum of five numbers is: "<<minn<<endl;

return 0;

}

Explanation:

Declare two variables "minn" & "maxx" and initialize them with INT_MAX and INT_MIN respectively.Then read the five number from user and compare it with "minn" & "maxx" ,if input is greater than "maxx" then update "maxx" or if input is less than "minn" then update the "minn". After all the inputs, "minn" will have smallest and "maxx" will have largest value.

enter five Numbers:5 78 43 55 12

maximum of five numbers is: 78

minimum of five numbers is: 5

Write a function called reverse() with this prototype:

void reverse(char dest[], char source[], int size);

Your function should copy all the elementsin the array source into the array dest, except in reverse order. The number of elements in the source array is give in the parameter size. Use a for loop to do the copying. Assume that dest is large enough to hold all of the elements. Please be thorough with commenting.

Answers

Answer:

void reverse(char dest[], char source[], int size)

{

   for(int i=0;i<size;i++)//using for loop.

   {

       dest[i]=source[i];//assigning each element of source array to dest array.

   }

   int s=0,e=size-1;//initializing two elements s with 0 and e with size -1.

   while(s<e){

       char t=des[s];             //SWAPPING

       dest[s]=dest[e];            //SWAPPING

       dest[e]=t;                  //SWAPPING

       s++;

       e--;

   }

}

Explanation:

I have used while loop to reverse the array.I have initialize two integer variables s and e with 0 and size-1.Looping until s becomes greater than e.

It will work as follows:

first s=0 and e=0.

dest[0] will be swapped with dest[size-1]

then s=1 and e=size-2.

then des[1] will be swapped with dest[size-2]

and it will keep on going till s is less than e.

In a typical configuration the total RAM capacity is less than total ROM capacity.

True

False

Answers

Answer:

False

Explanation:

The difference between RAM and RAM is as follows

(1) RAM (random access memory) is meant for temporary storage whereas ROM (read-only memory) is meant for permanent storage.

(2) RAM chip is volatile, means once the power is turned off, it loses the previously holding information, where as ROM is non-volatile it doesn't losses any information even though power is turned off.

(3) RAM chip is used in the normal operations of the computer, whereas the ROM chip is used mainly for the startup process of computer.

(4) Generally, A RAM can store several gigabytes (GB) of data that is up to 16 GB whereas a ROM chip can typically store that much data. It only stores several megabytes (MB) of data that is up to 4 MB.

hence, the given statement about RAM is false.

List at least three benefits of automated testing?

Answers

Answer:

Always available to run: You can run the tests 24/7, when you are at work, when you leave the office or if you working remote, you can run the test. They can be run virtually unattended, leaving the results to be monitored towards the end of the process.

Fewer human resources: You can reduce the people advocated on testing, you would need a QA automation to write your scripts to automate your tests, instead of people doing manual tests. In addition, once automated, the test library execution is faster and runs longer than manual testing.

Reusability and reliability: The scripts are reusable, a script could be used hundreds of times before need changes. It allows you to test exactly the same, without forgetting any steps this is why is more reliable and way quicker than manual test where people may cause.  

Write a C program that prints the numbers from 1 to 100, but substitutes the word "fizz" if the number is evenly divisble by 3, and "buzz" if the number is divisible by 5, and if divisible by both prints "fizz buzz" like this: 13 1 14 2 fizz 4 buzz fizz 7 fizz buzz 16 17 fizz 8 fizz buzz 19 buzz ... 11 fizz and so on

Answers

Answer:

// here is code in C.

#include <stdio.h>

int main(void) {

int num;

 // loop run 100 times

for(num=1;num<=100;num++)

{

 //check divisibility by 3 and 5

    if(num%15==0)

    {

    printf("fizz buzz ");

    }

     // check divisibility by 5 only

    else if(num%5==0)

    {

        printf("buzz ");

    }

     // check divisibility by 3 only

    else if(num%3==0)

    {

        printf("fizz ");

    }

    else{

        printf("%d ",num);

    }

}

return 0;

}

Explanation:

Run a for loop from 1 to 100. Check the divisibility of number by 15, if it is divisible print "fizz buzz", if it is not then Check the divisibility by 5 only.if it returns true then print "buzz". if not then check for 3 only,if returns true, print "fizz". else print the number only.

Output:

1 2 fizz 4 buzz fizz ........buzz fizz 97 98 fizz buzz

According to the loyalty effect, a five percent reduction in customer attrition can improve profits by as much as __________ percent.
a. 5
b. 10
c. 15
d. 20

Answers

Answer:

d.20

Explanation:

A reduction of five percent  in customer attrition can improve improve the profits of the company by as much as 20 percent.This is according to loyalty effect.

The Loyalty Effect is a book written  by Fredrick Reichheld it is based on customer retention.It is one of the best books on customer retention.

What is character referencing and why is it used?

Answers

Answer: Character reference is the tool usually followed in the business world.It is defined as the recommendation that is provided by organization employee that has a relation with the candidate(individual) outside of the work. This also known as the personal reference. The candidate can be friend family or any other known person whose reference is being given.

This is used in the business field for revealing about the personality and character of the candidate apart from the skills and working abilities. It also helps in the hiring of the candidate easily when the description is good in the character reference.

What is the association rule of data mining?

Answers

Answer:

Association rules are usually referred as the if-then statements which help in order to show probability of association and relationships in between data items that are embedded within large data sets in several kinds of databases. Association rule mining also tends to have a several number of applications and thus is widely used in order to uncover sales relation in transactional data.

Give two separate print statements: one will print your name, the other will print your major. Ensure that both will print on the same line to the screen

Answers

Answer:

// here is code in java.

// import package

import java.util.*;

// class definition

class Main

{

   // main method of the class

public static void main (String[] args) throws java.lang.Exception

{

   try{

      // print the name

       System.out.print("my name is Sam. ");

       // print the major

       System.out.print("my major is CS.");

   }catch(Exception ex){

       return;}

}

}

Explanation:

In java, System.out.print() will print the statement but didn't go to the next line.If there is another System.out.print(), then it will also print into the same line.So here first the System.out.print() will print the name and second will print the major in the same line.

Output:

my name is Sam. my major is CS.

In your opinion, what are the Pros and Cons of employers using Video Surveillance?

Answers

Answer: Video surveillance is the digital system used in the organization for the capturing of the video and storing it for monitoring .It is used for the security purpose of the business. The pros and cons of this system is mentioned as follows:-

Pros:

Providing security in business field Decrements in the crime rateProvides 24x7 monitoring and surveillanceServing real -time information

Cons:

Costly investmentNeeds more devices for installation in large organizationsCreated privacy concernsOverloading of data storage in the form video can happen

Final answer:

Pros of employers using video surveillance include increased security and monitoring productivity. Cons include invasion of privacy and the potential for misuse by employers.

Explanation:

Pros:

Increased security: Video surveillance can help deter theft, vandalism, and other crimes in the workplace.Monitoring productivity: Employers can use video surveillance to ensure employees are working efficiently and following company guidelines.Evidence in legal matters: Video footage can serve as evidence in workplace disputes, accidents, or criminal activities.

Cons:

Invasion of privacy: Video surveillance can infringe on employees' privacy rights and create a sense of constant monitoring.Potential for misuse: Employers may abuse video surveillance by using it for purposes other than security and surveillance.Employee morale: Constant video surveillance may create a negative work environment and lower employee morale.

Explain what occurs when you synchronize computer and mobile devices.

Answers

Answer: The synchronization of the mobile and computer devices is termed as the merging of the information of the device with the other computer device.Synchronization action takes through the "sync" command .

The synchronization helps in updating the information or data that is present in both the devices .It also sends and receive the files and information from reach other through transferring activity.The act helps in keeping the same updated information in both the system.

What is pros and cons of Cleanroom Software Engineering Process?

Answers

Answer and Explanation:

Pros of cleanroom software

This helps in confirming the plan detail with the assistance of mathematically based evidence of rightness.This uses incremental development processes.This uses incremental development processes. The realistic expectation is considered as less than 5 failures per KLOC on the first program execution in the project.There are short advancement cycles and longer item life.

Cons of cleanroom software

This exceptionally relies upon the statistical utilization of testing for revealing the high impact mistakes.The software is also not compiled or executed during the verification process hence it would become difficult to find the errors.
Other Questions
A sample of 02 gas occupies 346 mL at 45C and 1.50 atm. What is the volume of this O2 gas sample at STP? Enter your answer in the provided box. L L Which of the following is not an example of human geography If the shearing stress is linearly related to the rate of shearing strain for a fluid, it is a_____ fluid. What are other types of fluids and how does their rate of shearing strain relate to shearing stress? Formulate the situation as a system of two linear equations in two variables. Be sure to state clearly the meaning of your x- and y-variables. Solve the system by the elimination method. Be sure to state your final answer in terms of the original question.A lawyer has found 60 investors for a limited partnership to purchase an inner-city apartment building, with each contributing either $4,000 or $8,000. If the partnership raised $348,000, then how many investors contributed $4,000 and how many contributed $8,000?x = $4,000 investorsy = $8,000 investors Solve the system by row-reducing the corresponding augmented matrix. (Enter your answers as a comma-separated list. If the system is inconsistent, enter INCONSISTENT. If the system is dependent, enter DEPENDENT.)leftbrace2.gif2x + y = 17x + y = 13the situation as a system of two linear equations in two variables. Be sure to state clearly the meaning of your x- and y-variables. Solve the system by the elimination method. Be sure to state your final answer in terms of the original question.A jar contains 80 nickels and dimes worth $6.80. How many of each kind of coin are in the jar?x = nickelsy = dimes Maria has been married four times over a period of 22 years. None of her marriages lasted more than a few years. However, she was never married to more than one person at a time. In this scenario, Maria has engaged in ________. The help desk is keeping track of the number of minutes the average caller spends on hold.A 2-column table with 6 rows titled Average Time on Hold with Help Desk. The first column is labeled Week with entries 1, 2, 3, 4, 5, 6. The second column is labeled Average Time on Hold (minutes) with entries 7, 5, 3, 2, 3, 5.According to the table, during which interval did the average time spent on hold increase?week 1 to week 3week 1 to week 4week 4 to week 6week 3 to week 5 Although meat lacks cellwalls, repeated freezing and thawingproduces the bad taste offreezer burn. What is the main organelleinvolved in thisautodigestion? What is the least common denominator of 16and 1112? 6+5(4) please help What do the terms confederal, unitary, and federal all refer to? Question 10Why did the early United States struggle to maintain economic stability?AAs working conditions in major industries continued to decline, the country experienced widespread strikes and boycotts that disrupted production.BDue to a shortage of valuable natural resources, the country was reliant upon an underdeveloped manufacturing sector to achieve economic growth.CDue to British efforts to discourage trade with its former North American colonies, the country was unable to gain access to foreign markets in which to sell goods it produced.DAs the government under the Articles of Confederation had lacked the power to collect taxes, the country struggled to repay the debt amassed during its war for independence. Which best describes a major cause of the Punic Wars You are looking down at a map. A vector u with |u| = 6 points north and a vector v with |v| = 5 points northeast. The crossproduct uv points:(A) south(B) northwest(C) up(D) down (E) The magnitude |uv| = Virgin queens will only exit the hive for her mating flight(s) if the following condition is met: _________ Which algebraic expression is equivalent to this expression? 3(2x 8) 11x A. -17x 24 B. -5x 24 C. -17x 24 D. -5x 8 Six subtracted from b is less than or equal to 19 Clearly write what it means for a set to be closed under an operation Priya and Han plan a fundraiser for the running club. They begin with a balance of -80 because of expenses. In the first hour of the fundraiser they collect equal donations from 9 parents, which brings their balance to -44. How much did each parent give? What are the factors of 60 Check the statement(s) below to ensure that distance readings are accurate.