For each of the following graphs, determine if (a) it contains an induced subgraph that is not bipartite and that has 6 vertices; (b) it contains an Eulerian circuit or trail; (c) it contains a Hamiltonian cycle or path. j he G₁ a b d C h b f k m a G₂ d e e G3 b 4 d

Q: . From the set of letters (O, R, G, A, N, I, C), how many subsets of 4 letters are there? a) 5040 b)…

A: Consider the set of letters O, R, G, A, N, I, C. To determine how many subsets of 4 letters are…

Q: If a and b are integers, then a/b is always a rational number. True False

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Q: Simplify the following expressions:   i) b7 x b6 = ii) m11 ÷ m6 =  iii) kp8 x 4pk7 =  iv) (d7 x…

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Q: When 6 is added to four times a number, the result is 50. Find the number A) 10 B) 11 C) 12 D) 13

A: Let a number x.

Q: An employee worked 8.6 hours on Monday, 5.2 hours on Tuesday, 7.2 hours en Wednesday, 9 hours on…

A: Basics: We know that average is given by; Average  = sum of all terms / Total no of terms

Q: Determine, with justification, whether the series converges absolutely, converges conditionally, or…

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Q: Given A {1,2,3,4}, B = {2,4,6,8}, and C {1,3,5,7,9}. Find: a) ANB b) BUC c) (ANB)N (BU C)

A: Given- A=1,2,3,4, B=2,4,6,8 and C=1,3,5,7,9 To find- The value of  aA∩BbB∪CcA∩B∩B∪C

Q: At the cafeteria, Edan has a choice of three soups, four types of sandwich, and two desserts. In how…

A: At the cafeteria, Edan has a choice of three soups, four types of sandwich, and two desserts.  Here…

Q: 4.) Which expression is NOT the same as 4 x22 Select all that apply. 4 x 3 a) 4 b)x 4 4. c) 3. + 4 4…

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Q: a) rr Q.4 Evaluate:

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Q: Simplify fully: 15 a) 12 28

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Q: ng: ANB = (A U B)n (Ā U B) N (A U B)

A: We have to prove that, A∪B¯∩A∪B∩A¯∪B=A∩B

Q: 1. Simplify: a) v27V3 b) Vm7Vm³ c) VnVn8

A: a)  273=3×3×33              =3×3 273=9   b)  m7m5=m×m×m×m×m×m×mm×m×m×m×m…

Q: The value of (-64)° is 1 A) 16 C) 16 B) -16 D) 512

A: We have to step by step simply the expression.

Q: Simplify. Choices for 77-80: 77. (x) A) 0 B) 1 78. x2 D) x 2 E) x3 3 AC) x 12 AD) x2 3 79. 4 1 BC)…

A:

Q: Evaluate 4dx A) 10 B) 8 C) 6 D) 12 NO

A: We need to evaluate the following.

Q: What is 184? A) 324 B) 36 C) D) V18

A:

Q: You have 5 jackets and you want to bring 2 jackets on a vacation. How many options do you have? a)…

A: The objective of this question is to find out the number of ways to select 2 jackets out of 5. This…

Q: How many can x². y 19 - x + y = 18 if be? O A) 720 O B) 576 C) 288 O D) 144 O E) NONE

A:

Q: 18) Simplify: 27 A) 3 B) 4. D)

A: Please see the answer in step 2

Q: Find the value of ()*. 27 A) 6. C) B) 3 D)

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Q: A student made an 83, 74, and 65 on his tests. What does the student need to make on the 4th test to…

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Q: 9=? a)17 b)18 c)60

A: Explanation and solutions is given below....

Q: 98! 1. Simplify. : 100! a) 100 x 99 x 98! b) 1 100 x 99 x 98 c) 100 × 99 d) 1 100 × 99

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Q: Let the ged (21,9,120) = 3, find the 1.c.m(21,9, 120) = A) 5336 B) 6290 C) 7560 D) 9145

A: Greatest common divisor (gcd) of two numbers is the number which is factor of both the numbers, that…

Q: 229 out of 312 males have completed their math requirement. 144 out of 204 females have completed…

A: See the handwritten solution

Q: k3 + k 225

A: Substitute the value 5 in the respective formula for sum of cubes and sum of natural numbers.

Q: Consider the table below: 3 6 2 5 15 236 I 523,6 ii) 10 21 0,015236 33 122 a) Fill in the missing…

A: As per the question we are given an incomplete data table which we have to fill up using suitable…

Q: Pat’s age today, plus Pat’s age 5 years ago, equals 21. Pat’s age today is A) 12 B) 13 C) 14 D) 15

A:

Q: Write the capital letter to the correct answer. For example, if the answer is o write J Which of the…

A: We have to select the correct symbol of combination.

Q: 3) Which expression is equivalent to -?

A: Which expression is equivalent to x63x4-2

Q: & Find the mat val of the following

A: we need to find out the exact value.

Q: The expected payoff from Alternative A is Alternative B is . (5) and the expected payoff from _(6).…

A: answers 5) b 6) a 7) a 8) d 9) c 10) d 11) a

Q: solve

A: a) 141​b) 1544​c) 2411​d) 34​

Q: 4 10 Simplify if possible, and then evaluate. 47

A:

Q: Evaluate. 16 a) 64 0b)6 Oc) 4 d) 16

A: The given expression is 1632 use the algebraic properties, abm=abmabmn=abmn