Question

7. a. Verify the following congruences: 105 ≡ 5 (mod 20) 189 ≡ 9 (mod 15)...

7. a. Verify the following congruences: 105 ≡ 5 (mod 20) 189 ≡ 9 (mod 15) b. Verify that ( 105 + 30 ) ≡ ( 5 + 10 ) (mod 20) c. Try to show that in general, if M≡a (mod L) and N≡b (mod L) then M+N≡a+b (mod L)

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Which of the following congruences have solutions? a) x2 Congruent 7(mod 53) b) x2 Congruent 14(mod...
Which of the following congruences have solutions? a) x2 Congruent 7(mod 53) b) x2 Congruent 14(mod 31) c) x2 Congruent 53(mod 7) d) x2 Congruent 25(mod 997) All of them please!!
Find the solution the solutions of the following congruences a.13x \equiv 20 (mod 33) b.116x \equiv...
Find the solution the solutions of the following congruences a.13x \equiv 20 (mod 33) b.116x \equiv 41(mod 160)
For each of the following congruences if there is a solution, express the solution in the...
For each of the following congruences if there is a solution, express the solution in the form x ≡  some_number  (mod some_modulus), e.g. x ≡ 6 (mod 9). To standardize answers,  some_number should always be a value in the range {0, 1, 2, ..., some_modulus -1}. For example x ≡ 5 (mod 8) is OK but x ≡ 13 (mod 8) is not. If there is no solution say "No solution". You don't have to show work for any of the problems. Type...
Find all solutions to the following sets of simultaneous congruences (a) x ≡ 10 mod 27...
Find all solutions to the following sets of simultaneous congruences (a) x ≡ 10 mod 27 and x ≡ 172 mod 243 (b) x ≡ 10 mod 27 and x ≡ 172 mod 243 and x ≡ 163 mod 225 (c) x ≡ 10 mod 27 and x ≡ 172 mod 243 and x ≡ 162 mod 225
The smallest positive solution of the congruence ax ≡ 0( mod n) is called the additive...
The smallest positive solution of the congruence ax ≡ 0( mod n) is called the additive order of a modulo n. Find the additive orders of each of the following elements by solving the appropriate congruences: (abstract algebra) (a) 20 modulo 28 (b) 8 modulo 15 (c) 7 modulo 11 (d) 9 modulo 15
(7) Which of the following statement is TRUE? (A) If am−1 ≡ 1 (mod m), then...
(7) Which of the following statement is TRUE? (A) If am−1 ≡ 1 (mod m), then by Fermat’s Little Theorem m must be a prime. (B) If ac ≡ bc (mod m), then a ≡ b (mod m). (C) If a ≡ b (mod m) and n | m, then a ≡ b (mod n). (D) If 2n −1 is a prime, then 2n−2(2n −1) is a perfect number. (E) If p is a prime, then 2p −1 is also...
find the following square roots. A. √8( mod 41) B. √7(mod 41) C. √7 (mod 19)...
find the following square roots. A. √8( mod 41) B. √7(mod 41) C. √7 (mod 19) D. √7 (mod 29) E. √5 (mod 29)
Find all solutions to each congruence. (a) 2x − 3 ≡ 2 (mod 7) (b) 3x...
Find all solutions to each congruence. (a) 2x − 3 ≡ 2 (mod 7) (b) 3x + 4 ≡ 1 (mod 5) (c) 3x ≡ 6 (mod 9) (d) 14x ≡ 11 (mod 15)
y 10 11 15 15 20 24 27 32 x1 2 5 5 9 7 11...
y 10 11 15 15 20 24 27 32 x1 2 5 5 9 7 11 16 22 x2 16 10 13 10 2 8 7 4 a) Construct a​ 95% confidence interval for the dependent variable when x1=7 and x2=11. The​ 95% confidence interval is from a lower limit of ___ to an upper limit of ___. b) Construct a​ 95% prediction interval for the dependent variable when x1=7 and x2=11. The​ 95% prediction interval is from a lower...
Given the following induction: Basis: 5 Induction: S = {x ∈ N | 2x mod 7...
Given the following induction: Basis: 5 Induction: S = {x ∈ N | 2x mod 7 = 3} What are the next 3 elements? {5, …}
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT