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omeli [17]
2 years ago
15

Prove that any amount of postage greater than or equal to 64 cents can be obtained using only 5-cent and 17-cent stamps?

Computers and Technology
1 answer:
elixir [45]2 years ago
6 0
Let P(n) be "a postage of n cents can be formed using 5-cent and 17-cent stamps if n is greater than 63".Basis step: P(64) is true since 64 cents postage can be formed with one 5-cent and one 17-cent stamp.Inductive step: Assume that P(n) is true, that is, postage of n cents can be formed using 5-cent and 17-cent stamps. We will show how to form postage of n + 1 cents. By the inductive hypothesis postage of n cents can be formed using 5-cent and 17-cent stamps. If this included a 17-cent stamp, replace this 17-cent stamp with two 5-cent stamps to obtain n + 1 cents postage. Otherwise, only 5-cent stamps were used and n  65. Hence there are at least three 5-cent stamps forming n cents. Remove three of these 5-cent stamps and replace them with two 17-cent stamps to obtain n + 1 cents postage.Hence P(n + 1) is true.
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Peter accumulated many photos from his visit to Wisconsin. He wants to upload these photos to a social networking site. Which fi
daser333 [38]

Answer:

JPG / JPEG best choice and work well on websites

Explanation:

JPEGs contains millions of colors, so this type of file is ideal for photographs.

Best choice for posting on social media channels

7 0
2 years ago
Write a program to input value of three sides, to check triangle is triangle is possible to form of not​
NeTakaya

Answer:

Explanation:

import java.util.Scanner;

public class KboatTriangleAngle

{

  public static void main(String args[]) {

      Scanner in = new Scanner(System.in);

      System.out.print("Enter first angle: ");

      int a1 = in.nextInt();

      System.out.print("Enter second angle: ");

      int a2 = in.nextInt();

      System.out.print("Enter third angle: ");

      int a3 = in.nextInt();

      int angleSum = a1 + a2 + a3;

       

      if (angleSum == 180 && a1 > 0 && a2 > 0 && a3 > 0) {

          if (a1 < 90 && a2 < 90 && a3 < 90) {

              System.out.println("Acute-angled Triangle");

          }

          else if (a1 == 90 || a2 == 90 || a3 == 90) {

              System.out.println("Right-angled Triangle");

          }

          else {

              System.out.println("Obtuse-angled Triangle");

          }

      }

      else {

          System.out.println("Triangle not possible");

      }

  }

}

OUTPUT:

3 0
2 years ago
Modify the guessing-game program so that the user thinks of a number that the computer must guess.
Triss [41]

Answer:

import random

import math

smaller = int(input("Enter the smaller number: "))

larger = int(input("Enter the larger number: "))

count = 0

print()

while True:

   count += 1

   myNumber = (smaller + larger) // 2

   print('%d %d' % (smaller, larger))

   print('Your number is %d' % myNumber)

   choice = input('Enter =, <, or >: ')

   if choice == '=':

       print("Hooray, I've got it in %d tries" % count)

       break

   elif smaller == larger:

       print("I'm out of guesses, and you cheated")

       break

   elif choice == '<':

       larger = myNumber - 1

   else:

       smaller = myNumber + 1

Explanation:

The code to be Modified is as indicated below:

# Modify the code below:

import random

smaller = int(input("Enter the smaller number: "))

larger = int(input("Enter the larger number: "))

myNumber = random.randint(smaller, larger)

count = 0

while True:

   count += 1

   userNumber = int(input("Enter your guess: "))

   if userNumber < myNumber:

       print("Too small")

   elif userNumber > myNumber:

       print("Too large")

   else:

       print("You've got it in", count, "tries!")

       break

Detailed Explanation:

Line 3 and 4 of the codes prompts the user to enter a smaller and larger number. Line 5 we initiate the formula for minimum number of guesses. Line 14 and 17 prints out the output  I'm out of guesses, and you cheated and Hooray, I've got it in X after validating the conditions.

7 0
1 year ago
Create a program named Auction that allows a user to enter an amount bid on an online auction item. Include three overloaded met
Olin [163]

Answer:

Explanation:

The following code is written in Java and creates the overloaded methods as requested. It has been tested and is working without bugs. The test cases are shown in the first red square within the main method and the output results are shown in the bottom red square...

class Auction {

   public static void main(String[] args) {

       bid(10);

       bid(10.00);

       bid("10 dollars");

       bid("$10");

       bid("150 bills");

   }

   public static void bid(int bid) {

       if(bid >= 10) {

           System.out.println("Bid Accepted");

       } else {

           System.out.println("Bid not high enough");

       }

   }

   public static void bid(double bid) {

       if(bid >= 10) {

           System.out.println("Bid Accepted");

       } else {

           System.out.println("Bid not high enough");

       }

   }

   public static void bid(String bid) {

       if (bid.charAt(0) == '$') {

           if (Integer.parseInt(bid.substring(1, bid.length())) > 0) {

               System.out.println("Bid Accepted");

               return;

           } else {

               System.out.println("Bid not in correct Format");

               return;

           }

       }

       int dollarStartingPoint = 0;

       for (int x = 0; x < bid.length(); x++) {

           if (bid.charAt(x) == 'd') {

               if (bid.substring(x, x + 7).equals("dollars")) {

                   dollarStartingPoint = x;

               } else {

                   break;

               }

           }

       }

       if (dollarStartingPoint > 1) {

           if (Integer.parseInt(bid.substring(0, dollarStartingPoint-1)) > 0) {

               System.out.println("Bid Accepted");

               return;

           } else {

               System.out.println("Bid not in correct format");

               return;

           }

       } else {

           System.out.println("Bid not in correct format");

           return;

       }

   }

}

3 0
1 year ago
Kathy is a senior teacher in her school. She is conducting a group discussion between parents and teachers. Her role is to ensur
Fynjy0 [20]
She is the leader of the discussion
3 0
1 year ago
Read 2 more answers
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