Simplify the given expression. Cite a property from each expression     A − (A ∩ B)   ∩ B − (A ∩ B)   =  A ∩ (A ∩ B)c  ∩ B ∩ (A ∩ B)c   = A ∩ (A ∩ B)c ∩ B ∩ (A ∩ B)c   = A ∩ (A ∩ B)c ∩ B  ∩ (A ∩ B)c = A ∩ B ∩ (A ∩ B)c  ∩ (A ∩ B)c = A ∩ B ∩ (A ∩ B)c ∩ (A ∩ B)c   = A ∩ B ∩ (A ∩ B)c    = (A ∩ B) ∩ (A ∩ B)c  = ∅

Q: Evaluate if x=4,8,3,-2 ∑x ∑x+1 ∑(x+1) 3∑x - 4

A: Given that  if x=4,8,3,-2

Q: What is the explanatory variable when running the R code: Imfformula = data$HP ~ data$SQ) Fill in…

A: The R code is given by lm(formula = data$HP ~ data$SQ)

Q: 2. Simplify the expression and state restrictions on the variables: 2a-5 5a a +3 + ÷ a²2a 15 a² +…

A:

Q: For "x is in A minus B" give an equivalent statement that uses "x is in A"  and "x is in B"

A:

Q: Let a = (- 3, 5, – 5) and b = (3, 5, – 1). Find - 3å + 26. - 3å + 26 =

A:

Q: Say True or False and justify your answer. P(A∪B)⊆P(A)∪P(B)

A:

Q: Let B = [-1 1 4 -3] Find -4B

A: Solution

Q: Is the following statement true or false? {0} ⊂ {0}

A: given that                                                    {0}⊂{0} we have to check is the…

Q: Does 2|0? O Yes, because 0 = 0· 0. O Yes, because 2 = 0 · 0. O Yes, because 0 = 2 · 0. O No, because…

A: We have to check

Q: 2p² + 3p² + 4p - 12 = 5p² + 4p - 12 Select one: True O False

A: The given expression is:

Q: if c(p,s,h) is the cost of buying p bags of chips, s sodas, and h hot dogs, use functional notation…

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Q: Find x, and x2- -52 28 -5 5 X2 40 X =

A:

Q: If p > 1, evaluate the expression 1+ 2P ЗР 4P 2P ЗР 4P

A:

Q: Let a =(3, -3, 8), and B = (-7, -1, 3), and = (8, 4, 11). Find ||2ä - 36||.

A:

Q: What does the statement rxy = 0 represent?

A: The statement "rxy=0" represents that the correlation coefficient between two variables, denoted by…

Q: Simplify. 27x* y* Assume all variables are nonnegative. Enter your answer in the box.

A:

Q: Let a, b, c ∈Z+.    If  a | b and a | c then a | ( b + c )  true or false?

A: Use the definition of divisibility, to express b and c in terms of a. a|b⇒b=maa|c⇒c=na Therefore,…

Q: Write the definition of A x B, where A and B are sets A x B = { }.

A: We want to define A x B

Q: Write the set {. . . , −7/8 , −3/4 , −1/2 , 0, 1, 3, 7, . . .} using set-builder notation.

A:

Q: Read the following statement: x + 6 = 6 +x. This statement demonstrates: the substitution property.…

A: Topic = Algebra the reflective property.

Q: The table shows the movement of a stock for 30 randomly selected trading days. "Up" means the stock…

A:

Q: A paragraph proof organizes information into columns. O True O False

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Q: 4x2 + 4xy + y2

A: Given query is to simplify the expression.

Q: Find, if possible, (a) AB and (b) BA.

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Q: Evaluate for: x = -2, y = 4, and z = 16 * |-y-x|

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Q: Find the value of a, b, and c if (a+b)(a+b+c)=21, (a+c)(a+b+c)=35, and (b+c)(a+b+c)=42.

A: First we need to make some equations and the we have to simplify them in order to get a, b and c.

Q: Find the following expressions if a = (6r, 0, r), b = (6s, –s, 7s), and c = (2t, 10t, 5). a ·b = 1.…

A: We need to find dot product.

Q: (a + b) (a+b+c) = a² + 2ab + b² + ac + bc Select one: O True O False

A: Solution-