Describe a way (using equations) that you could calculate 602 – 78 mentally without using the standard paper-and-pencil algorithm.

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Q: 5. Design an algorithm that asks the user for the name of a text file containing a grid of numbers…

A: answer is in next step

Q: Use Euclid algorithm to write (80,104) as a linear combination of 80 and 104

A: Introduction: Euclid's algorithm is a method for calculating the greatest common divisor of two…

Q: Given Euclid's algorithm, What is the difference between EL(a, b) and EL(b, a)?

A: The Euclid's algorithm for ELa,b is…

Q: Describe an algorithm that takes as input a list of n integers and finds the location of the last…

A: Consider that, the given list of integers be n. Describe the required algorithm as follows.…

Q: The Euclidean Algorithm is used to find the greatest common divisor of 7320 and 873. What is the…

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Q: What is a Prim Algorithm? What is the step to apply this algorithm? Please help Sir, thx.

A: Prim's algorithm is a greedy algorithm that finds a minimum spanning tree for a weighted undirected…

Q: How many ways can you get we get a 2 digit passcode if zeros are not allowed?

A: If zero is not allowed, The number of available digits is 9 (1,2,3,4,5,6,7,8,9)

Q: How many ways can six of the letters of the word ALGORITHM be selected and written in a row if the…

A: Solution:

Q: How many leaves would there be in such a binary tree? Explain your reasoning.

A: We know that, The number of leaves is 2n. Since, the number of leaves at each level is 2,4,8,16...

Q: 3. Solve the multiplication problem, 34 x 65, in three different ways: the standard algorithm, the…

A: To solve the multiplication problem, 34x65, in the below three different ways. 1. By standard…

Q: Suppose we have area and number of bedrooms and its corresponding for different houses sold in…

A: Plot the points with Living area on x-axis and bedrooms on y-axis. The blue dot is the coordinate…

Q: In the New York state lottery game “Lotto” a player wins the grand prize by choosing the same group…

A: Since,for the collection of items where the selection by order does not matter,combination is used…

Q: How many ways can the letters of ALGORITHM be arranged if the letters G and R cannot be adjacent?

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Q: A researcher has developed an algorithm for analyzing documents. To test the performance he runs the…

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Q: 2. What is a major reason children do not invent strategies for solving mathematical problems? (What…

A: Solution: In the real world. Students fare in any problems that are complex, not properly defined…

Q: Write an algorithm to print the largest number between three numbers 2.

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Q: Compute that greatest common divisor of 142 and 344 using the Euclidean algorithm. What is the…

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Q: When 217 is divided by 7 according to the Division Algorithm the quotient q is and the remainderr is…

A: To find:- When 217 is divided by 7 according to the Division Algorithm what is the quotient q is and…

Q: Describe a way to calculate 304 – 81 mentally, by using reasoning other than the common sub-…

A: Subtraction becomes easy when the numbers used are whole numbers. That is subtracting 50 from 100…

Q: What will be the 20th element if this pattern continues?

A: From the pattern of the figure, after every three triangles i.e black large, white large, and white…

Q: Suppose each license plate in a certain state has three digits followed by three letters. The digits…

A: There are 8 digits and 26 letters to use and there are 3 slots for digits. Also given that digits…

Q: Suppose you are looking for an item in an ordered list one million items long. How many steps might…

A: Given,An item in an ordered list one million items longBy definition

Q: Given the discussion in Example 9.4.4, what is the maximum possible length of the repeating section…

A: Solution

Q: Compute the number of different ways a national high school sports competition featuring the top 128…

A: Introduction: According to the permutation rule, if r distinct items are to be chosen from n items…

Q: The author explains Why We Place Extra Zeros on Some Lines …. In the Standard Algorithm for 45 × 23,…

A: We place a 0 to make the 90 becomes 900 because according to our standard number system and…

Q: When we multiply 38 × 73 using the standard algorithm, we start the second row by writing a zero, as…

A:

Q: A certain computer algorithm executes twice as many operations when it is run with an input of size…

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Q: Use the Nearest Neighbor Algorithm to find a Hamilton circuit beginning (and ending)in Washington,…

A: Given: To do: Use the Nearest Neighbor Algorithm to find a Hamiltonian circuit beginning and ending…

Q: You have a set of N dice, where each die d has m faces numbered 1, ..., m. How many ways are there…

A: Given a set of N dice, where each die d has m faces numbered 1,...,m.

Q: How to do standard algorithm?

A: In Mathematics, any of the complex problem can be solved by breaking it into logical steps and then…

Q: For the RSA algorithm with a large n, explain why Bob can calculated from n, but Eve cannot.

A: Hint: We need to discuss that what technique Bob is using.

Q: State "Division Algorithm “,then use it to prove that each odd integer number can be written as: 6k…

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Q: What is the largest n for which one can solve within 3 minutes a problem using an algorithm that…

A: According to the given information 10−12fn≤3 minute Since, 3 minute=3×60 minute=180 second Hence,…

Q: Explain how Euclidean Algorithm is used to check if an integer is a prime number or otherwise.

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Q: How many different ways a 4- digit code can be made if no digit can be used more than once

A: Four digit code are We need to form 4-digit code using  0,1,2,3,4,5,6,7,8,9 digits. The number of…

Q: What is the largest n for which one can solve within one second a problem using an algorithm that…

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Q: Devise an algorithm that finds the sum of all the integers in a list.

A: We will write an algorithm that finds the sum of all the integers in a list

Q: What is the largest n for which one can solve within 10 seconds a problem using an algorithm that…

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Q: 4. For this problem, you may leave your answers unreduced. (a) In how many ways can the letters in…

A: Given: This problem has to be permutation . The given word is ALGORITHM

Q: When using Euclid's algorithm to find the GCD of 820 and 730, what are the first three remainders…

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Q: Crank

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Q: Fill in the missing numbers of the sequence generated by Euclid's algorithm on inputs 58 and 10.…

A: As per Euclid' Algo: gcd(a,b) 1. If a = 0, then b is gcd.  2. If b = 0, then a is gcd 3. If both are…

Q: c. Write an algorithm to compute the sum of elements in a list.

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Q: If you are using the Sieve of Eratosthenes to find all the prime numbers between 50 and 150, how…

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Q: Draw a “ten-structured picture” for 46 + 27, in which tens are represented as rods and ones are…

A: let 10 is represented by a rod as shown below, and 1 is represented by a cube as shown below

Q: How many total ways are there to select a group of five letters from the word ALGORITHM and arrange…

A: using the concept of permutation...

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Q: o use the Egyptian​ algorithm, first rewrite the number 14as a sum of powers of two. 14=2+ ? +

A: To write 14  as a sum of power of two.