Algebra II 7.3 Binomial Radical Expressions Radical expressions with the same index and the same radicand may be added or subtracted. Add or subtract: May need to simplify before adding or subtracting. Assignment: page 382383‚ #112 7.3 continued Multiplying Binomial Radical Expressions Use FOIL to multiply‚ simplify. Multiply: Conjugates are expressions such as: Just as (ab)(a+b) = a2b2 The product of conjugates is a rational number. Simplify: Assignment: page 382383‚ # 1322 7
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and/or equations to explain your answer. I. Explain the difference between diminishing total returns to labour and diminishing marginal returns to labour. Diminishing returns to labour means that an increase in the number of labour units will decrease the amount of output. Diminishing marginal returns means that additional units of labour increase output at a decreasing rate. II. Suppose the production function for T-shirts can be represented as q = L0.25 K0.75. When K = 1 and q =
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FN2 Module 1 Multiple Choice Questions MULTIPLE CHOICE: Choose the one alternative that best completes the statement or answers the question. a) Which of the following is least likely to increase market efficiency? 1) Governments relax restrictions on foreign investment 2) Corporations disseminate more information to investors 3) More new investors choose to invest in individual stocks on their own rather than invest in mutual funds 4) More stock transactions are conducted online than
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MIDTERM NOTES Solve Linear Equations 0. Cancel all denominators by multiplying every term by the LCD. 1. Simplify LHS and RHS. 2. Eliminate variable term on RHS. 3. Eliminate variable term on LHS. 4. Eliminate the coefficient of the variable. Solve Rational Equations 1. Find LCD. 2. Cancel all denominators by multiplying every term by the LCD. 3. Solve. 4. Omit those solutions that make LCD=0. Complex Numbers: a + bi Powers of i: i0 = 1‚ i1 = i‚ i2 = −1‚ i3 = −i in = ir where r is the
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University of British Columbia Sauder School of Business COMM 399: Logistics and Operations Management Problem Set 1 1. Solution: (a) Some ideas that you can expand on: • • • • Organizational barriers Business culture undervalues operations Top managers often uninterested in operations Lack of “ownership” of operations (b) Some ideas that you can expand on: • Identify and break constraints • Make the special case the norm • Rethink critical dimensions of work (c) Yes‚ even though it may
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Module 3 – Chapter 12 Problem 12-1A Part 1 KAZAAM COMPANY Statement of Cash Flows For Year Ended December 31‚ 2011 Cash flows from operating activities Net income $73‚750 Adjustments to reconcile net income to net cash provided by operating activities Increase in accounts receivable ($49‚625 - $65‚000) (15‚375) Increase in inventory ($252‚500 - $273‚750) (21‚250) Decrease in prepaid expenses ($6‚250 - $5‚375) 875 Decrease in
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1. (TCO A) Wages paid to the factory supply shop foreman are considered an example of: (Points: 5) Direct Labor - yes‚ Period Cost - yes Direct Labor - yes‚ Period Cost - No Direct Labor - no ‚ Period Cost - yes Direct Labor - no ‚ Period Cost - no 2. (TCO A) Rent on a manufacturing plant is an element of: (Points: 5) Conversion cost - yes‚ period cost - no Conversion cost - yes‚ period cost - yes Conversion cost - no‚ period
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Girls and problem of choosing suitable jobs One of the interesting social upheavals of the present era is the emancipation of women from the bondage of age old prejudice and traditions which restrict the sphere of woman’s activity to within the narrow confines of the home. The spread of education has enabled women to smash open the panes of the stuffy‚ ignorant conservatory and come into the open world to take their place and contribute their share to the exciting experience of creating a new
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exam counts for 30% of the Module Grade. All questions carry equal marks. Note there is NO negative marking Correct answer is worth 1 mark. No answer or more than one answer‚ will both receive a 0 mark. Incorrect answer will receive a 0 mark. Attempt all 20 questions. Shade in the box in the appropriate space with a HB pencil on the RESPONSE SHEET. Write the test version at the top of the RESPONSE SHEET You may use the paper provided to make notes or calculations to help you. Instructions
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Algebra Archit Pal Singh Sachdeva 1. Consider the sequence of polynomials defined by P1 (x) = x2 − 2 and Pj (x) = P1 (Pj−1 (x)) for j = 2‚ 3‚ . . .. Show that for any positive integer n the roots of equation Pn (x) = x are all real and distinct. 2. Prove that every polynomial over integers has a nonzero polynomial multiple whose exponents are all divisible by 2012. 3. Let fn (x) denote the Fibonacci polynomial‚ which is defined by f1 = 1‚ f2 = x‚ fn = xfn−1 + fn−2 . Prove that the inequality 2 fn
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