True or false? 15 is a multiple of 30. -10 is a divisor of –100. If a, b, c e Z and a | b and a t c, then b + c. If a E Z and 8 | a, then 4 || a.

Q: Let ā and b = .Find —ӑ — 6. .Find - ӑ > ||

A: We will find -a-b as following.

Q: An operation * is defined on the set of real numbers by a * b = a + b – ½ ab. What is (3 * 2) * 2? *

A: The rational number and irrational number are together called real numbers. An operation is a rule…

Q: APQR is shown below. 81 7 4 3 2 1 Q -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 -1 7 8 9 6. -2 -3 -4 +5 R…

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Q: aj = 9 and an = - — Зап-1 5 then find the value of a5. -

A: Given query is to find the value of a5 .

Q: Determine which of the options below appropriately demonstrates that Q is not closed under the…

A: Consider the given information: Here to demonstrates that ℚc is not not closed under the operation…

Q: 6. Given A(-5, 1), B(-3, -7), and C(5, 2), find the measure of ZA.

A:

Q: If A ={a,b,c} and B= {1,2}, find the Cartesian product, B X A Find the power set, P(A) Find the…

A: We will find out the required value.

Q: Find a and b such that [图-1-8 -27 9. + b 3 a = b =

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Q: Fill in the missing element of B such that A = B. A = {7, 19, g, #, 2, 4, &, f, 17, 1, k} B = {#,…

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Q: 0. 0 -11 -11 -4 A = |2 6. 4 1

A:

Q: Which of the rectangles below are both left and right rectangles? 10- 8- 6- 4- 2- 0- 0 8 CD 0000 05…

A: Rectangle which is both left and right rectangle is the rectangle which touches the function from…

Q: Evaluate. Assume u >0 when In u appears. *In 8x dx O A. 16 (In 8x)? + C (In 8x)? + C OB. 2 Oc. (In…

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Q: Determine values of a and b. 4 3 x 3 1 + -4 -5 2а -4 a 13 15 %D -2 7 -7 -11 16 a = 3, b = 3 O a =…

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Q: -2 7 6 -3 0 08-5 A = 35 8 53 4. Find M13 and C13. M13= C13= i 48

A: Minor of an element of aij of the determinant of matrix A is obtained by deleting ith row and jth…

Q: (b) A, and Z, Name (c) D, and A Show (d) 5Z and 7Z

A:

Q: Let ä = = (8,1, –4) and b = (5,-2,1). Find à + b, 4à + 2b, là\, and là – b\ %3D

A: a vector = <8,1,-4) and b = <5,-2,1>  Find , a+b, 4a+b, |a| , |a-b|

Q: Fincl the gencral Solutun Fer 2. xव 2.

A:

Q: L{t}(s) = / t dt te -at %3D

A: Here we use integration by parts.

Q: An art teacher needs to buy at least 60 brushes for her class. The brush are sold in packs of 8. In…

A: Here it is given that,  Number of brushes = 60 (at least) Number of brushes in 1 pack =8 minimum…

Q: Simplify. 33.93 Оа 3 Ob Ос Od b 9 V3 и

A: To simplify the given expression

Q: If any subset of size five is chosen from {1, -1, 2, -2, 4, -4, 8, -8), then prove that each of the…

A:

Q: Let A and Bbe everts satisfying P(A)=04, P(B)-0.6 and P(An B)-01.Find P(A B)

A: P(A) = 0.4 P(B) = 0.6 P(A∩B)=0.1

Q: Which of the following does not have multiplicative inverses? a. 11mod5 b. 9mod4 c. 12mod7 d. 7mod6…

A: Let us consider and b are two integers are multiplicative inverse modulo m if  ab≡1(mod m) The…

Q: The greatest common divisor of a and a +5 is a. 5 Ob None O. 1 or a ed. l or 5 Oe. 1

A:

Q: Let A = {−1, 3, 2} and B = {1, 2, 6}. Find A N B. ○ {2} O{-1, O{-1, 2, 3, 6} O{-1, 3} 1, 2, 3, 6}

A: Option AExplanation:Given:A = {-1, 3, 2}B = {1, 2, 6} Solution:A ∩ B denotes the common values…

Q: 4.) Find the quotient. 3.480 ÷ 0.29

A: Topic = Algebra

Q: Which expression has the smallest value? F19| A |-34| D 47| D.

A:

Q: Perform the operation {1, 8, 7, 5, 6, 5, 5} – {5, 1, 7, 7, 6} * a. {1, 8, 7, 5, 6} b. {1, 7, 5, 6}…

A: Given two sets  {1,8,7,5,6,5,5} and the second set is {5,1,7,7,6} To perform the subtraction of the…

Q: If A is m x n and B is n x m and AB I then the rank of A is

A:

Q: Consider the graph of the function f(x) shown below. (Click on the graph for a larger version) A.…

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Q: Let A = (c, a, t J, B = {f, 0, x). Find A x B and B X A. AxB= (Type an ordered pair. Use a comma to…

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Q: 4. Given A-2 -1 -4 A-1 A = -1 1-3 -5 and 1 1-3 4 %3D -4 -5 1 4 X- 3 Find (i) A and |B| (ii) |A||B|…

A: Given  A=λ-2-1-4-1λ-3-5-4-5λ-6 and B=λ-1231λ-3414λ-3 To find (i) A and B(ii) AB