25. What is the standard form of a circle with center (3, 2) and diameter 18? a. (x +3)? + (y + 2)2 = 81 b. (x - 3)2 + (y - 2)2 = 324 c. (x - 3)? + (y - 2)? = 81 %3D d. (x + 3)? + (y - 2)? = 9

Q: Select the correct rule to replace (?) in the proof segment below Hypothesis Hypothesis 1. 2. 3.…

A: Hypothetical syllogism is a valid argument form in logic.  Form of Hypothetical syllogism: If…

Q: 5. A norm al distribution has a mean of 26 and a standard deviation ốf 4. What Is the probability…

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Q: Given the proportion: [r→ s, p → ~q, p ^ ~s, q V r] + [(s → q) V (~r →~ p)]. Using Truth Table,…

A: The truth table, p q r s ~p ~q ~r ~s r↔s p↔~q p∧~s q∨r T T T T F F F F T F F T T T T F F F F…

Q: п(n + 1)(n + 2) 4. If n e N, then 1.2+2.3+3·4+4·5+...+n(n +1) = 3

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Q: Prove using rules of inference.

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Q: c) (p → q) A (r → s)= (~q v ~s) –→ (~p V ~r) Destructive Dilemmas (DD) d) (p → q) ^ p = q Modus…

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Q: 3. Determine m < 0 10 24 17 B.

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Q: -4 If A = [ 2 ],x = [],B = [°,] then,|A,| = X%3D %3D -3.

A: Solution:- for Ay replace the second column with matrix B

Q: d) an = 1 2² +1 ( ² + + - ₁ - ¹ ( ² ) ) n² + 1 2 1² + 1 + + 2 3² +1 + 1 4² +1 + ...

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Q: : Jhat is he nodies onuegence

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Q: 4. Knowing that 1 + 3 + 5 + …+ (2n – 1) = n², find 1++3 +5 + .…+ 135 =

A: Solution :   Given that  1 + 3 + 5 + ... + (2n - 1) = n2    -----(1)

Q: 3. (Va² +1)* dz. Evaluate

A: Write radical in the form of fractions.

Q: VII. Use truth table to prove that A A (B v C) = (A A B).

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Q: v' tan o'do 5+3lncostv

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Q: Prectives: Fud i a! こ 10! 3! 8!

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Q: Havent got the complete answer for the questin

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

Q: Does the relation "is a friend of" have a reflexive property (consider one person)? A symmetric…

A: Does the relation "is a friend of "  have a reflexive property (consider one person)?

Q: Find the P-value for the indicated hypothesis test with the gven standarded test statistic, z Decide…

A: Given two tailed test statistic z = -2.14 α = 0.05 To determine p value using standardized test…

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…

Q: 11! 1.) 5!x4!x3! 2.) Р(8, 5) 3.) Р(12, 4)

A: Our aim is to solve the following :  1) 11!/(5!*4!*3!) 2) 10!/7! 3) P(8,5) As per our guidelines, we…

Q: How many are false when the truth table of (pVq)^~r is constructed? a. 2 b. 4 c. 6 d. 8 O O a O с

A: As find attached for details solution

Q: 4 1 П 2i +1 (i – 1 i-2

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Q: 3|5 - x| +2< 14

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Q: 4. For P -1, (4 + i) ? 15 + 8i 15 + 4i 16 + 4i 16 + 8i CLEAR ALL

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Q: 6. Let a, = 2- for n = 1, 2, 3, .... (a) Write the first three terms of b = an+1· (Express numbers…

A: Express bn in expression form with the help of an than put n= 1,2,3.

Q: 1. Not all means are the same” has the same meaning as “All the means are different”. True False

A: Not all the means are same:  If we are given with a group of means, then for some groups, the means…

Q: State the rule of inference by which its conclusion follows from its premise or premises. - (J · K)…

A: Given: ~J . K . L⊃ ~M∴ ~J . K

Q: What valid conclusions can be drawn? Give two. "If I play basketball, then I'll be sore the next…

A: I have given the answer in the next step. Hope you understand that

Q: X. a. y> ]x + 4|- 4 b. y> ]x - 4| + 4 c. y< |x + 4|-4 d. y< |x- 4| + 4

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Q: 7. What's the definition of the number i? O A. i = -1 O B. i = - /1 O C.i = (-1) 2 O D. i = / -1 %|

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Q: Question 3 Construct the truth table to determine whether the given statement is a tautology,…

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Q: 17. Which one of the following is valid pvq, ¬4 P.p Ang

A: Consider OPTION (a) Does not match any rule of inference Hence incorrect   Consider  OPTION (b) By…