If a and b are both rational numbers such that a = 0 and b = 0, then is also a rational number.

Q: Evaluate V3( + )] 10 2

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A: Direct Proof : The fundamental (from a logic perspective) way of proof is a direct proof . Often all…

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Q: Insert "⊆" or "⊈" in the blank to make the statement true.{4, 6, 8}     {3, 4, 5, 6, 8}

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Q: Decide whether each of the following statements are true. (a) If a, b, m, n N and a | mand bn, then…

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Q: Discrete Math:   What compound proposition does this circuit diagram compute? (Look at image)

A: The type of the logic gate is as mentioned in the following figure

Q: If x is divisible by 5 or y is divisible by 5, then xy is divisible by 5.

A: Let x is divisible by 5. Then x=5u for some natural number u.

Q: Please prove these statements. I don't need examples. I need proper proofs

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Q: 1. Show that (again...just outline like above...), for n E zt 1.3.5.. (2n – 1) 2n 2" n!

A: First we prove that statement is true for n=1 Thenbwe assume that statement is true for n=k From…

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A: As per guidelines of the Bartleby, solution of only first 3 parts are given.

Q: Can u anwser it's incomplete

A: Let  be a random variable, denoting the number of seeds that grow into a healthy plant.

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A: Given are some statements   To Find: Statements which are Contradictions.

Q: Use inductive reasoning to find a pattern and make a reasonable conjecture for the next three…

A: Given:  A series 1 , 4 , 2 , 5 , 3, 6 , 4 , 7 , 5. To Find : Use inductive reasoning to find a…

Q: QFamily An-2Eaharefresents a Samily of overcla Pfing Peiriods True of False

A: If all the subsets of a family have nonempty intersections, then it is called family of overlapping…

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Q: {1, a,{2, b}} C {1, a, 2, b} O True O False

A: Given :     { 1 , a , { 2,b } } ⊂ { 1 , a , 2 , b }

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Q: prove that C+Ã +3-ARC Using the truth table

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A: To express the complex number z=-6-6j, in the polar form z=rcos θ+j sin θ, where -π<θ≤π.

Q: write expression qin cy+3

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Q: Use truth tables to determine if (p O q) V (q → r) and (p ^ q ^ F) are equivalent.

A: Let us consider two proposition P and Q then  the truth table of following is given as P Q P⊕Q…

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Q: 3,10,15)=(0,3,10,15) is statement true or false

A: we have to slove above question (3,10,15)=(0,3,10,15) is statement true or false

Q: How is this done with proof by contardiction?

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Q: Determine whether following is true or false. All creatures die. All human being are creatures.…

A: The given problem is a problem of propositional logic .  In the given problem there are two…

Q: Simply the logical Expression function F = AB + A(B+C) + B(B+C) (Distributive law) %3D

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Q: Suppose p is TRUE, q is TRUE, r is FALSE, and s is FALSE. Find the truth value of (qp) ^ (rs) TRUE…

A: We have given that p is True, q is True, r is False and s is False. We need to find truth value of…

Q: For each of the following concepts encountered during the course, give the precise definition (using…

A: we will first give the definition  then write the variables.

Q: Nr- (p AN q) -pAN q

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Q: Discrete Math What is chromatic number of K5? Show that K5 is nonplanar using an argument.

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Q: method; Ina VUna) -g

A: Convert Cartesian coordinate system into polar coordinates system. Question 1 is solved. Solving…

Q: Prove Osasb→0sVas15 Hint: Use proof by contradiction

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Q: Give a brief explanation of your understanding of each concept below. Provide one example along with…

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Q: (b~vd) ^ (bvd~)

A: See next step for truth table

Q: Write "All Presidents like Quartz" as a conditional statement

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Q: pVqA-r

A: Note:- In given statement, no brackets are mentioned so, we'll follow the standard order ¬, ∧, ∨, →,…

Q: Please help me to write this as a proof.  Let n be an integer. If n is the sum of three consecutive…

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