Note: The notation C(n, k) is used for the combination "n choose k." Alternate notation: ( ) 1.) Evaluate without a calculator, and show your work: (a) C(12, 5) (b) C(9,6)

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: Consider the following postfix representation of an expression composed of letters and the addition,…

A: Given: Postfix expression: AB+CD-E*F+* To find: Infix expression of the given postfix expression.

Q: Evaluate each expression using the values given in the table. - 1 -3 -2 6 7 - 3 1 3 f(x) 4 3 1 -3 -7…

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Q: Simplify the following expression 9q-2(3q-9) O Apple 14q + 3g + 6 9q? – 6q + 18 O 9q + 6q + 6…

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Q: Evaluate each expression using the values given in the table. - 2 - 1 - 5 3 1 2 3 f(x) - 8 - 2 - 1 2…

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Q: Which of the following expressions is equivalent to 2i? Select all that apply. a (2i) (2)

A: Given: x23 Now check:   a)  x32=x132=x13×2=x23 b) x3=x123=x12×3=x32 c) x2x3=x2-3=x-1 d)…

Q: Which of the following is equivalent to the expression below? 12(y + 89) A. 12(89 y) B. (12 89) + y…

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Q: pication Tacts. Suppose that a child has learned the following basic multiplication facts: • The X1,…

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Q: Given that 5w = = (-5, 20), what is w? Select the correct answer below: (-1,4) O (1, -20) O (-4,1) O…

A: given,  5w→=<-5,20>

Q: Evaluate the combination. C(39,30) C(39,30) =| (Use scientific notation. Round to three decimal…

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Q: Consider the following table: Possibilities for a Possibilities for b x -4 Possibilities for c…

A: From the given table

Q: The stem-and-leaf display below gives the number of minutes that customers waited for their orders…

A: For the given data Find the Range,median and compare

Q: Simplify the following without the use of calculators: 2 -1 a. b. 2xy² 12xy³ x³y-2 \x³y-1, 8 X104…

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Q: R(60)

A: Given ,  No. S R 1 20 1600 2 25 800 3 30 250 4 35 300 5 40 800 6 45 1400 Where, S…

Q: Fined the abe roo2 07 -2-23i

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Q: Evaluate. (a) - 73 (b) ( – 7)3

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

Q: Find (AB)-1, (3A)-1, and (A*)-' given that 1 2 5 3 -3 4 A-1 = 3 1 6. B-1 = 1 3 2 8 1 6. 1

A: Recall: AB-1 = B-1A-1 aA-1 =aA-1 ; where 'a' is any scalar. At-1 =A-1t

Q: Evaluate the expression C(11,3)C(11,3), equivalently 11C311C3.

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Q: (ak . aza1a0)10- How many digits do you need to know to decide if x is Consider x = ... (a.)…

A: (a) The divisibility rule of 7 states if the difference of twice the unit digit of the number and…

Q: Use the union rule to answer the following question. Suppose n(B)=7, n(ANB) = 4, and n(AUB) = 25.…

A: In probability theory, the union rule states that for any two events A and B, the probability of the…