8. Describe all non-trivial proper subgroups of the direct product Z/27 x Z/2Z of groups. ANSWER:
Solve the system. -3x+y+4z=1 x+y+z=0 -2x+z=-1 x+y-2z=0 Please show all steps! I thought I got the correct answer but my numbers don't work for the last given equation. Thank you!
Question 1 (8 marks) Consider the linear system x - 2y + 2z = -1 -2x + 3y + kz=1 2x + ky + (k - 4)2 = 1 (a) For which values of k is this system (i) consistent or (ii) inconsistent? (b) Find all solutions to the system when k = -1. (c) Describe your answer to (b) geometrically.
8) Springer Products manufactures three different product lines, Model X, Model Y, and Model Z. Considerable market demand exists for all models. The following per unit data apply: $50 Model Z $80 10 Model X Selling price Direct materials 10 Direct labor ($15 per hour) Variable support costs ($5 per machine-hour) 5 Fixed support costs 12 Model Y $66 10 15 10 12 15 12 Which model has the greatest contribution margin per unit? A) Model X B) Model Y...
(more questions will be posted today in about 6 hrs from now.) December 8, 2018 WORK ALL PROBLEMS. SHOW WORK & INDICATE REASONING \ 1.) Let σ-(13524)(2376)(4162)(3745). Express σ as a product of disjoint cycles Express σ as a product of 2 cycles. Determine the inverse of σ. Determine the order of ơ. Determine the orbits of ơ 2) Let ф : G H be a homomorphism from group G to group H. Show that G is. one-to-one if and...
The Shum Company makes a product, Z, from two materials: X and Y. The standard prices and quantities are as follows $5.0 $8 13.07 Price per pound Pounds per unit of product Z In May. 15,000 units of Z were produced by Shum Company, with the following actual prices and quantities of materials used Price per pound Pounds used 12.70 15.40 209,000 128000 What is the total direct materials mix variance for May? (Do not round intermediate calculations.) O $130,650...
12. Braun's Brakes manufactures three different product lines, Model X, Model Y, and Model Z. Considerable market demand exists for all models. The following per unit data apply: Model X Model Y Model 2 Selling price S50 S60 $70 Direct materials 6 6 6 Direct labor (S12 per hour) 12 12 24 Variable support costs (S4 per machine- hour) 4 8 8 Fixed support costs 10 10 10 If there is a machine breakdown, which model is the most profitable...
Answer all questions. 1. Describe how the direct, step-down and reciprocal cost allocation methods differ in the way they recognise reciprocal services among support departments. (6 marks) 2. The following comparative data is provided for the Laventura Boating Company. It is stated that the company has more accurate product cost information using activity- based costing to allocate overhead. a. Describe the differences in profitability resulting from the two costing approaches. (4 marks) b. Explain why the overhead cost is so...
8. Let n be a positive integer. The n-th cyclotomic polynomial Ф,a(z) E Z[2] is defined recursively in the following way: 1. Ф1(x)-x-1. 2. If n > 1, then Фп(x)- , (where in the product in the denomina- tor, d runs through all divisors of n less than n). . A. Calculate Ф2(x), Ф4(x) and Ф8(z): . B. n(x) is the minimal polynomial for the primitive n-th root of unity over Q. Let f(x) = "8-1 E Q[a] and ω...
can you please answer all of them please need it for a review F(x y, z) = 6x over the rectangular solid in the first octant bounded by the coordinate planes and the planes X-9, y-3, 2-S 27 1458 162 243 Find the center of mass of a thin triangular plate bounded by the coordinate axes and the line x + y = 4 if o(x, y) = x + y. 5 5 -3.73 . Oz Find the center of...
Please answer all!! 3. Show that if n e Z so that n is odd then 8|n2 + (n + 6)2 +6. 4. (a) Let a, b, and n be integers so that n > 2. Define: а is congruent to b mod n. The notation here is a = b (modn). (b) Is 12 = 4 (mod 2)? Explain. (c) Is 25 = 3 (mod 2)? Explain. (d) Is 27 = 13 (mod8)? Explain. (e) Find 6 integers x...