Let T be the statement: The sum of any two rational numbers is rational. Then T is true, but the following "proof is incorrect. Find the mistake. "Proof by contradiction: Suppose not. That is, suppose that the sum of any two rational numbers is not rational. This means that no matter what two rational numbers are chosen their sum is not rational. Now both 1 and 3 are 1/1 and 3 3/1, and so both are ratios of integers with rational because 1 a nonzero denominator. Hence, by a supposition, the sum of 1 and 3, which is 4, is not rational. But 4 is rational because 4 4/1 , which is a ratio of integers with a nonzero denominator. Hence 4 is both rational and not rational, which is a contradiction. This contradiction shows that the supposition is false and hence statement T is true.

Answer:

the mistake is in the first statement.

Explanation:

Now lets us put the statement into consideration:

"The sum of any two rational numbers is irrational"

The negation is: " there exists a pair of rational numbers whose sum is irrational". (Existence of at least one of such a pair).

The negation is not "the sum of any two rational numbers is irrational"

Therefore the mistake is in the first statement and it is due to incorrect negation of the proof.

What is the output of the following program?
t = "$100 $200 $300"
print(t.count('$'))
print(t.count('s', 5))
print(t.count('$', 5, 10)

4.5 Code Practice
Write a loop that inputs words until the user enters STOP. After each input, the program should number each entry and print in this format:
(This code must be in python, also if a minor explanation can be added to the bottom that would be nice. But also long as u can help I will be fine)

Java Eclipse homework. I need help coding this

Project 5A - Mixed Results

package: proj5A
class: MixedResults

Create a new project called MixedResults with a class called Tester. Within the main method of Tester you will eventually printout the result of the following problems. However, you should first calculate by hand what you expect the answers to be. For example, in the parenthesis of the first problem, you should realize that strictly integer arithmetic is taking place that results in a value of 0 for the parenthesis.

double d1 = 37.9; //Initialize these variables at the top of your program
double d2 = 1004.128;
int i1 = 12;
int i2 = 18;

Problem 1: 57.2 * (i1 / i2) +1
Problem 2: 57.2 * ( (double)i1 / i2 ) + 1
Problem 3: 15 – i1 * ( d1 * 3) + 4
Problem 4: 15 – i1 * (int)( d1 * 3) + 4
Problem 5: 15 – i1 * ( (int)d1 * 3) + 4

Your printout should look like the following:

Problem 1: 1.0
Problem 2: 39.13333333333333
Problem 3: -1345.39999999999
Problem 4: -1337
Problem 5: -1313

Is there anybody who knows eris quirk but me- i feel lonely rn ;-;

his exercise creates a program to convert the temperature values form Fahrenheit to Celsius for a list of 10 temperature values between -10° and 75°. The program shall have the following features:1. Create a temperature list that contains 10 values ranging from -10° to 75°.2. Create a function to convert temperature values from Fahrenheit to Celsius.3. Create a while-loop to index the temperature value item in the list and call the function to calculate the temperature value in Celsius.4. Print the temperatures in the format of:32 degrees Fahrenheit = 0 degrees Celsius

differences between a small office and a big office​

There are a multitude of items that Cyber Security professionals view as attack vectors but none are more prevalent and exploitable than application code or as readily available as the network perimeter. There are many ways that these areas are exploited. The application side has its beginning with code which is poorly designed from a security perspective. One of the code items that is exploited by fraudsters to pivot across an organization's internal network is the Web.cfg file - in this file non security minded programmers often leave the User ID and password for connecting to the associated database in plaintext.
For part one of this assignment, write a 1 page summary that explains to a non IT person what this attack is, how it works and how to prevent it.
The second part of this assignment is about the secure perimeter. Using your choice of reference for securing a network (NIST, Rainbow Series Red Book, Common Criteria etc.) research on how to design a secure network perimeter that will protect the internal applications, even poorly written ones like the one above from being exploited. Include a diagram of your solution and on the bottom half - a written explanation, in APA format, of your solution.

Given code
#include
#include
using namespace std;
bool weHaveWinner(int a,int b)
{
return (a>=21 && b>=21 && abs(a-b)>1);
}
int main()
{
int aPoints = 0;
int bPoints = 0;
string input;

// ToDo: Write a loop until input is "end" or we have a winner
// the loop should read the input and add a point to aPoints if "A"
// or add a point to bPoints if "B", don't do anything but leave the
// loop if "end"

while(1)
{
cin >> input;
if(input=="end")
break;
if(input=="A")
aPoints++;
if(input=="B")
bPoints++;
if(weHaveWinner(aPoints,bPoints))
break;
}
// Tell the user if we have a winner or not
if(aPoints > bPoints + 1 && aPoints >= 21)
{
cout aPoints + 1 && bPoints >= 21)
{
cout << "Team B won! (" << aPoints << "-" << bPoints << ")" << endl;
}
else
{
cout << "Game ended as a draw. (" << aPoints << "-" << bPoints << ")" << endl;
}
return 0;
}

give the synyax and example of any three mathematical functions in spreadsheet​

Why is it important to explore an Integrated
Development Environment?
A. To learn more about the syntax of Java
B. To learn more about the features of the environment
C. To learn more about error handling
D. To learn more about abstractions

Write a method that will receive 2 numbers as parameters and will return a string containing the pattern based on those two numbers. Take into consideration that the numbers may not be in the right order.

Note that the method will not print the pattern but return the string containing it instead. The main method (already coded) will be printing the string returned by the method.

Remember that you can declare an empty string variable and concatenate everything you want to it.

As an example, if the user inputs "2 5"

The output should be:

2
3 3
4 4 4
5 5 5 5

BRAINLIEST Which function will add a name to a list of baseball players in Python?


append()

main()

print()

sort()

12. Write C statement(s) that accomplish the following. a. Declare int variables x and y. Initialize x to 25 and y to 18. b. Declare and initialize an int variable temp to 10 and a char variable ch to 'A'. c. Update the value of an int variable x by adding 5 to it. d. Declare and initialize a double variable payRate to 12.50. e. Copy the value of an int variable firstNum into an int variable tempNum. f. Swap the contents of the int variables x and y. (Declare additional variables, if necessary.) g. Suppose x and y are double variables. Output the contents of x, y, and the expression x 12 / y - 18. h. Declare a char variable grade and set the value of grade to 'A'. i. Declare int variables to store four integers. j. Copy the value of a double variable z to the nearest integer into an int variable x.

Dawn needs to insert a macro into a Word document. Where can she find the Insert Macro dialog box?
Insert tab
Developer tab
Advanced tab
Design tab

Which option in the Caption dialog box configures whether the caption appears above or below the image?
Label
New Label
Position
Numbering

Which three skills are useful for success in any career?

differences between laptop andhandheld conputer​

Which option provides an easy ability to label documents that can then be used as the basis for a document search?
author
title
tags
modified

Sukhi needs to insert a container into her form to collect a particular type of information. Which object should she insert?
text box
form field
field code
image

Q10: You cannot rename a compressed folder.

What if were are not going to use our middle finger in typing the letters E And I what do you think will happen​

write algorithm to find (a+b)^2=(a+b)*(a+b)​

6.12 Nested Increments Write a program for spiritual lumberjacks who want to show their appreciation for each tree they 'kill' by celebrating its years of life. Ask the lumberjack how many trees he wants to cut. Verify you got the number correctly by printing it to output. Write a loop that iterates over all the trees the lumberjack wants to cut down. Print the tree number to the screen to make sure your loop is working correctly. Query the lumber jack for how many rings are in this tree and print this number to make sure you got the correct number of rings. Write an inner loop that iterates over the years of the tree. Print each year to make sure you are iterating correctly and hitting each year that it lived. Change the necessary print statements and to match the correct formatting from the output examples.

The kinetic energy of a moving object is given by the formula KE = ½mv2 where m is the object’s mass and v is its velocity.Modify the program you created in Project 5 so that it prints the object’s kinetic energy as well as its momentum.Below is an example of the progam input and output:Mass: 5Velocity: 2.5The object's momentum is 12.5The object's kinetic energy is 15.625

Fix the 2 error codes.
1 // DebugSix2.java
2 // Display every character between Unicode 65 and 122
3 // Start new line after 20 characters
4 public class DebugSix2
5 {
6 public static void main(String args[])
7 {
8 char letter;
9 int a;
10 final int MIN = 65;
11 final int MAX = 122;
12 final int STOPLINE1 = 85;
13 final int STOPLINE2 = 122;
14 for(a = MIN; a <= MAX; a++)
15 letter = (char)a;
16 System.out.print(" " + letter);
17 if((a == STOPLINE1) & (a == STOPLINE2))
18 System.out.println();
19 System.out.println("\nEnd of application")
20 }
21 }
1 // DebugSix4.java
2 // Displays 5 random numbers between
3 // (and including) user-specified values
4 import java.util.Scanner;
5 public class DebugSix4
6 {
7 public static void main(String[] args)
8 {
9 int high, low, count;
10 final int NUM = 5;
11 Scanner input = new Scanner(System.in);
12 // Prompt user to enter high and low values
13 System.out.print("This application displays " + NUM +
14 " random numbers" +
15 "\nbetween the low and high values you enter" +
16 "\nEnter low value now... ");
17 low = input.nextInt();
18 System.out.print("Enter high value... ");
19 high = input.nextInt();
20 while(low == high)
21 {
22 System.out.println("The number you entered for a high number, " +
23 high + ", is not more than " + low);
24 System.out.print("Enter a number higher than " + low + "... ");
25 high = input.nextInt();
26 }
27
28 while(count < low)
29 {
30 double result = Math.random();
31 // random() returns value between 0 and 1
32 int answer = (int) (result * 10 + low);
33 // multiply by 10 and add low -- random is at least the value of low
34 // only use answer if it is low enough
35 if(answer <= low)
36 {
37 System.out.print(answer + " ");
38 ++count;
39 }
40 }
41 System.out.println();
42 }
43 }

What changes has Sue made so far? Check all that apply.

She added a chart title.
She changed the legend.
She added a title for the x-axis.
She changed the title of the y-axis.
She changed the x-axis column labels.
She changed the color of the chart style.

Next, Sue decides to embed a chart from Microsoft Word. She copies and pastes data from a table that she has already created in a Word document. The table includes the results of her paper towel experiment. After reviewing her work, she realizes she needs to update one of the values.

How can she change that value so it is reflected in the chart in her presentation?

She can change the value in the original table in Word.
She can change the value directly on the chart in PowerPoint.
She can change the value using the Current Selection command group.
She can change the value in the mini- spreadsheet for the chart in PowerPoint.

Which type of network involves buildings in multiple cities connecting to each other?

How can you get access to Help in Excel? Which of the following are correct ways to get to help?

1. F1
2.View Tab
3.Lightbulb
4.review tab
5.tell me what you want to do
6. the ? on the top-right corner in backstage view​

Two Smallest (20 points). Write a program TwoSmallest.java that takes a set of double command-line arguments and prints the smallest and second-smallest number, in that order. It is possible for the smallest and second-smallest numbers to be the same (if the sequence contains duplicate numbers). Note: display one number per line. Hint: Double.MAX_VALUE is the largest real number that can be stored in a double variable. java TwoSmallest 17.0 23.0 5.0 1.1 6.9 0.3 0.3 1.1 java TwoSmallest 1.0 35.0 2.0 1.1 6.9 0.3 0.3 6.7 0.3 0.3