A. Find the value of x. 61 = x ( mod 7) 1. 71 = x ( mod 8) 2. 5) 89 = (x + 3) ( mod 4) 78 + x = 3 ( mod 3. В. 1. What is the remainder when 20212021 divided by 2020? is 4.

Q: Nice property Prove that 1logbc21logcb2= 1, for b 7 0, c 7 0, b ≠ 1, and c ≠ 1.

A: 1logbc2·1logcb2=1 for b > 0, c > 0, b ≠ 1, and c ≠ 1.

Q: 3. Given an integer a, then a³ + a² + a is even if and only if a is even. 4. Given an integer a,…

A: As required in the question, detailed proof of 3, 5 and 9 are given as follows :

Q: An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential…

A: It is given that 38 residents of the sampled 334 residents had flu. From this information, the…

Q: Describe 3, 2, 1, 0, –1, –2, . .. | recursively. Include initial condition. аn — an-1 — 1, ај — 3 аn…

A: Given options are recurrence relation to the sequence 3,2,0,-1,-2..... By options we will verify…

Q: I need help solving/ understanding attached for abstarct algebra dealing with permutations   Thanks

A: To prove the property of conjugation of a 3-cycle in the Symmetric group

Q: (7) (a) Find the order of a modulo 7 for a = 1, 2, 3, 4, 5, 6.

A:

Q: cardinality of {10 + 7}

A: Cardinality of a set:   The number of elements in a set is the cardinality of the set. The…

Q: Suppose A CR and B CR are sets, and that a = sup A and b = sup B exist. (a) Prove that ANB is…

A:

Q: Given CE = 6.7, mZDAE = M2CBE = 90, MLEAB = MZEBA = 25 and BC = 5, find lengths DE and AD and state…

A:

Q: 3) a = 222, b = 13 222 = 13 2² × (24)5 X 13 4 × 16 5 13 4 × 35 4 × 243 = = E 13 13 4 × 9 13 36 13 10…

A:

Q: Prove a^2 +4a+3 is odd if and only if a is even.

A:

Q: ` Prove that positive real numbers a, b, c, d, b 2 + > 3.. a b+zc+3d +c+zd+za+d+za+36 d a+zh+30

A:

Q: Explain why f e-a dx cannot be evaluated using u-substitution. Then give an example of a similar…

A: Consider the integral ∫e-x2dx. Suppose u-substitution is possible. let u=x2. This gives,…

Q: Give a recursive definition with initial conditions of the set S SEE IMAGE

A:

Q: Find all (p, q, r) such that ((p + -4) evaluates to 1.

A:

Q: Find  mod (40, 7) and div (40, 7).   mod(40, 7)=? div(40, 7)=?

A: 1) mod(40,7)  is the remainder when 40 is divided by 7we know that 7×5 =35  and 7×6=42as 7×6=42 is…

Q: Read and ansua Hhe Bilawng aneshans below ļi 1 find a basis for the saluhan sct of X-y+Zz-w= 0…

A:

Q: 1. Evaluate the following expression when A= 0, B = 0, C = 1, D = 1 F = D(BCA+(AB+C) + C) 2. Find…

A: We have given A,B,C,D values .For this we find required values.

Q: select the description that characterizes the Boolean expression

A: A boolean expression is CNF (Conjunctive normal form) if it is a product of sums. And, a boolean…

Q: Construct a strengthened conditional proof for the following. (M 5 O) > (N ɔ P) Q כ (P כ M) .: Q

A:

Q: 4. Is it more likely that Harper will pick 2 French books or 2 English books? Use the following…

A: 4) Given that there are 2 French books and 3 English books.  Since the number of English books is…

Q: Theorem 5. Abel's Lemma, or Partial Summation Given Sn = a1 + a2 + + an ... (a) a1v1+...+ a„Vn =…

A:

Q: Construct ∠D so that ∠D ≅ ∠C.

A: Construct ∠D so that ∠D ≅ ∠C.

Q: Dividing a congruence by an integer always produces a valid congruence False () True

A: Given the  The statement is true or false

Q: Identify which congruence theorem applies in each case. a. Is AAMD = ARMC? b. Is AWOH = AWAT? c. Is…

A: Note:  Since you have posted questions with multiple subparts. We will solve the first three…

Q: Question 8 -37 = 3 (mod 5) True False A Moving to another question will save this response.…

A:

Q: There exists two odd integers whose average is odd. 1 1 1 There exists distinct positive integers a,…

A: (a) Consider two odd integers 2m+1, 2n+1 such that m+n is even. Now, Consider the average of the…

Q: Please poove 18 ŏ bound of (३5) fश्ठ also proove ppes an sup13,5)%35

A: (.) Upper bound:    "A number that is greater than or equal to any number in a non-empty subset of ℝ…