Describe a way to calculate 304 – 81 mentally, by using reasoning other than the common sub- traction algorithm. Then write a coherent sequence of equations that correspond to your reasoning. -

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: a) How many terms are there in the following Geometric Progression? 2, 4, 8, ... 1024. b) Write an…

A: We have to observe the given sequence and its relation.

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: find the gcd (243,715) by using the eucladian algorithm. The find the Bezout coefficients and write…

A:

Q: a. How many ways can the letters of the word ALGORITHM be written in a row? b. How many ways can six…

A:

Q: 11 4 Solve 11 divided by 4 in the algorithm. 4) RO 4 1 -

A: Now we will solve the problem

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: Describe a way other than using the standard subtraction algorithm to calculate 842 — 398 mentally…

A: In the question it is asked to calculate difference in (842-398) without using pen, paper or…

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

A:

Q: Use a method other than the traditional algorithm to explain the division: 3050 ÷ 6

A:

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

A: In the second multiplication, one has to add a zero in the once places. This is because we are…

Q: Using Extended Euclidean Algorithm, show that we can write 17 as a linear combination of 119 and 68

A: Extended Euclidean Algorithm- It is a method to find GCD of two integers To write:17 as a linear…

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

A:

Q: Give a recursive definition of the sequence 2, 4, 6, 8, 10, . Then write the corresponding recursive…

A: Given sequence is 2, 4, 6, 8, 10, .......... We have to write the corresponding recursive algorithm.…

Q: Use the binary exponentiation algorithm to compute the remainder when 385 is divided by 53.

A: Remainder (385 / 53) 385 = 77 * 5 77 / 53 leaves remainder 24 So  24 * 5 = 120  When 120 / 53 leaves…

Q: When 58 is divided by 6 according to the Division Algorithm the quotient q is and the remainder r is…

A: Given,           58 is divided by 6

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: a) Simplify the expression [p^ (p→ q )] → q by using the laws of logic. b) Write an Algorithm for…

A:

Q: 5- For the following question, apply insertion sort algorithm to the array {34, 8, 64, 51, 32, 21}.…

A: Here we use insertion sort algorithm.

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: Use base-ten pieces to illustrate the long-division algorithm. In separate steps, show which…

A: NOTE: In explanation below, 'tens' and 'longs' are referred to same place hence used…

Q: А5. a) How many terms are there in the following Geometric Progression? 2, 4, 8, ... 1024. b) Write…

A:

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: Use base-ten pieces to illustrate the long–division algorithm. In separate steps, show which…

A: Here, divident= 324 Divisor=6 Quotient=54

Q: Facebook has created a new algorithm that is built to detect terrorists in the US by looking at…

A: As per our guidelines, we are allowed to answer first three sub-parts only. Thanks Currently…

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: 30 ÷ 8 is equivalent to 30.00 ÷ 8. We can write zeros in the tenths place and hundredths place…

A:

Q: The dimensiens of a smartphone case are shown below. How much shorter is the width than the height?…

A: height=140 mm width= 80 mm We have to tell how much shorter is the width than the height

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: a) How many terms are there in the following Geometric Progression? 2,4, 8, ... 1024. b) Write an…

A:

Q: 2. Write an Algorithm to check a number and print if its even or odd. (Specify input, output and the…

A: We need to print if the given number is even or odd. The basic definition of even number is it is of…

Q: Use base-ten pieces to illustrate the long–division algorithm. In separate steps, show which…

A: Here we have to divide 328 by 4   now, when 328 is divided by 4, 82 is the quotient and we het 0 as…

Q: Facebook has created a new algorithm that is built to detect terrorists in the US by looking at…

A:

Q: А5. a) How many terms are there in the following Geometric Progression? 2, 4, 8, ... 1024. b) Write…

A: (a) the given geometric progression is: 2,4,8,.....1024 we have to determine how many terms are…

Q: An example of an algorithm is when: We follow arithmetic rules to multiply 302 by 2. We buy…

A: We have to find which of the following is an example of an algorithm.

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

A:

Q: Use base-ten pieces to illustrate the long–division algorithm. In separate steps, show which…

A: When 378 is divided by 7, 54 is the quotient and 0 is the remainder. 378 is represented by 3 flats,…

Q: 2. integer. Give a recursive algorithm for computing n(n+1), where n is a non-negative

A: We know, sum of first n positive integers        = 1 + 2 + 3 + . . . . . . + n = n(n+1)/2 => 2 (…

Q: Determine which characteristics of an algorithm the following procedures have and which they lack.…

A:

Q: 12. Compute each of the following using the counting-up algorithm. a. 74 63 - b. 73 - 57

A:

Q: According to the german algorithm, determine how to do: 4967x35

A: Given,

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

A:

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: 2. What is the maximum length of the repeating section in the decimal representation of 683/1493?…

A: Solution :-

Q: Which of the following is NOT normally considered in the complexity analysis of algorithms? A. Best…

A: Complexity analysis is a technique to analyze and compare algorithms (not programs).

Q: Consider the following algorithm segment. Assume that n is a positive integer. for i:= 1 to n for…

A: given algorithm segment , for i:=1 to n    for j:=[(i+1)/2] to n        x:= i . j      // here is…

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...

Q: 3. a. Use the common method for implement- ing the standard division algorithm to calcu- late 1875…

A: