Answered step by step

Verified Expert Solution

Link Copied!

Question

1 Approved Answer

Posted on Sep 30, 2021

Let m and n be natural numbers. Show: If m2 +2n2+1 is divisible by 3 then m is multiple of 3 and n is

Let m and n be natural numbers. Show: If m2 +2n2+1 is divisible by 3 then m is multiple of 3 and n is not multiple of 3.

Step by Step Solution

★★★★★

3.42 Rating (152 Votes )

There are 3 Steps involved in it

Step: 1

622 2 321 391 Now 18 18 391 ... blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

Step: 3

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Advanced Engineering Mathematics

Authors: ERWIN KREYSZIG

9th Edition

0471488852, 978-0471488859

More Books

Students also viewed these Mathematics questions

Question

★★★★★

Show that a positive integer is divisible by 3 if and only if the sum of its decimal digits is divisible by 3?

Answered: 1 week ago

Question

★★★★★

Show that a positive integer is divisible by 3 if and only if the difference of the sum of its binary digits in evennumbered positions and the sum of its binary digits in odd-numbered positions is...

Answered: 1 week ago

Question

★★★★★

Let m and n be integers, where 0 ¤ m (a) Show that the zeros of the polynomial z2n + 1 lying above the real axis are And that there are none on that axis (b) With the aid of Theorem 2 in Sec....

Answered: 1 week ago

Question

★★★★★

Use the following information to answer the questions that follow.... The Big Cheese Company * 2019 2020 Interest Expense 200 1950 Cash 180 30 Property, Plant, and Equipment 16000 39550 Inventories...

Answered: 1 week ago

Question

★★★★★

1. The chapter states that managers try to motivate people by administering rewards fairly, building trust and teamwork, and creating a stimulating work environment. Which of these motivators is...

Answered: 1 week ago

Question

★★★★★

In Problems 11 68, solve each equation. 0.9t = 0.4 + 0.1t

Answered: 1 week ago

Question

★★★★★

What are the null and alternative hypotheses in (a) a lower-tail test for a population mean? (b) a two-tailed test for a population mean? (c) an upper-tail test for a population mean?

Answered: 1 week ago

Question

★★★★★

A firms bonds have a maturity of 10 years with a $1,000 face value, have an 8% semiannual coupon, are callable in 5 years at $1,050, and currently sell at a price of $1,100. What are their nominal...

Answered: 1 week ago

Question

★★★★★

SLR Corporation has 1,300 units of each of its two products in its year-end inventory. Per unit data for each of the products are as follows: Cost selling price Coste to sell Product 1 $56 85 5...

Answered: 1 week ago

Question

★★★★★

John Parsons (123-45-6781) and George Smith (123-45-6782) are 70% and 30% owners, respectively, of Premium, Inc. (11-1111111), a candy company located at 1005 16th Street, Cut and Shoot, TX 77303....

Answered: 1 week ago

Question

★★★★★

Washington Industries manufactures electronic testing equipment. Washington also installs the equipment at customers' sites and ensures that it functions smoothly. Additional information on the...

Answered: 1 week ago

Question

★★★★★

Scenario update As a proof of concept in the TSA Meats network build project the network architect that you demonstrate how the final network would operate with the aid of the network emulation tool...

Answered: 1 week ago

Question

★★★★★

Use the following distribution to estimate the percentage of light bulbs having a life less than 2500 hours. Hours of life' of light bulbs 0 1000 4000 5000 2000 3000 hours A. 20% B. 50% C. 5% D. 80%

Answered: 1 week ago

Question

★★★★★

In 1980, approximately 20% of adults aged 18-34 were considered minorities, reporting their ethnicity as other than nonHispanic white. By the end of 2013, that percentage had more than doubled. How...

Answered: 1 week ago

Question

★★★★★

How is the Target breach different from the TJ Maxx breach? How would you have approached those, knowing what you know now?

Answered: 1 week ago

Question

★★★★★

A _ ("pi-minus") particle, which has charge _ e , is at location5.0010 -9 ,-2.0010 -9 ,-7.0010 -9 m. What is the electric field at location m, due to the _ particle? = An antiproton (same mass as the...

Answered: 1 week ago

Question

★★★★★

Dell Technologies shares soared in late trading after The Wall Street Journal reported that the company has hired advisors to consider options for the company's 81% stake in the enterprise-software...

Answered: 1 week ago

Question

★★★★★

The ultimate goal of Google, Bing, and other consumer search engines is to provide users with search listings that contain useful information on the topic of their search. What recommendations would...

Answered: 1 week ago

Question

★★★★★

Assuming normality, find a 95% confidence interval for the variance from the sample 145.3, 145.4, 146.2.

Answered: 1 week ago

Question

★★★★★

Verify the calculations in Example 1. Find out experimentally how many steps are needed to obtain the solution of the linear system with an accuracy of 3S.

Answered: 1 week ago

Question

★★★★★

In Prob. 15, what is the probability that at least one of the tires will not last for 25 000 miles?

Answered: 1 week ago

Question

★★★★★

2. How would Klars hypothesis explain the fact that some right-handed people have counterclockwise hair whorls?

Answered: 1 week ago

Question

★★★★★

8. A child born without a corpus callosum can name something felt with the left hand, but an adult who suffered damage to the corpus callosum cannot. What are two likely explanations?

Answered: 1 week ago

Question

★★★★★

3. The left hemisphere of the brain is connected to the right eye in rabbits. In humans, the left hemisphere is connected to the left half of each retina. Explain the reason for this species...

Answered: 1 week ago

Previous Question Next Question