1. For an 18-inch pipeline designed for 150‚000 barrels per day‚ what is the short-run cost per barrel (per thousand miles) of transporting crude oil if the throughput is (a) 50‚000 barrels per day (b) 100‚000 barrels per day (c) 150‚000 barrels per day? Using chart 7‚ a) Cost of transporting 50‚000 barrels would be 30 cents. b) Cost of transporting 100‚000 barrels would be 17 cents. c) Cost of transporting 150‚000 barrels would 16 cents. 2. Can a 16-inch pipeline with 10‚000 horsepower transport
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Trig Cheat Sheet Definition of the Trig Functions Right triangle definition For this definition we assume that p 0 < q < or 0° < q < 90° . 2 Unit circle definition For this definition q is any angle. y ( x‚ y ) hypotenuse opposite y 1 x q x q adjacent sin q = opposite hypotenuse adjacent cos q = hypotenuse opposite tan q = adjacent hypotenuse opposite hypotenuse sec q = adjacent adjacent cot q = opposite csc q = sin q = y =y 1 x cos q = = x 1 y tan q = x 1 y 1 sec q = x x cot q =
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Real World Radical Formulas Your Name MAT222: Intermediate Algebra (AWP1234E) Instructor Their Name March 9‚ 2012 Real World Radical Formulas Our assignment is to solve problem 103 on page 605‚ parts a and b‚ and problem 104 on page 606‚ both a and b‚ of our text book‚ Elementary and Intermediate Algebra. The assignment revolves around sail boat stability and speed. The formulas we will use can give you a good starting point in planning your craft and journey if used wisely. Knowing
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LOGARITHMIC AND EXPONENTIAL FUNCTIONS Inverse relations Exponential functions Exponential and logarithmic equations One logarithm THE LOGARITHMIC FUNCTION WITH BASE b is the function y = logb x. b is normally a number greater than 1 (although it need only be greater than 0 and not equal to 1). The function is defined for all x > 0. Here is its graph for any base b. Note the following: • For any base‚ the x-intercept is 1. Why? To see the answer‚ pass your mouse over the colored
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Student Activity A Generic Function Use the generic graph of f(x) with domain [–6‚ –3] and [–2‚ 6] to answer the questions below. 7 Y 6 5 4 3 2 1 X -7 -6 -5 -4 -3 -2 -1 0 -1 1 2 3 4 5 6 7 -2 -3 -4 -5 -6 -7 1. What is the range of f(x)? 2. What is the domain? 3. On what intervals is f(x) decreasing? 4. On what intervals will the following statements be true? a) As x increases‚ y increases. b) As x increases
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Form Helps Function Vs. Form Follows Function. Ever since the phrase ‘form follows function’ was coined in 1896 and more so since the creation of the Bauhaus‚ it has been believed by many that the less is more approach is the best way to go about design. That‚ if you make a product to do its sole purpose‚ with no bells and whistles and just the bare bones of design‚ that that is good design. Now I am not saying that this is wrong or that it is a bad thing‚ that style of design has its own merits
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The kidney is made up of nephrons‚ which are a kidney’s functional units. These nephrons collect fluid filtered from the blood. The kidney connects to the renal artery‚ renal‚ vein‚ and ureter. Purified blood leaves the kidney using the renal vein‚ urine leaves using a ureter and the renal artery carries blood from the aorta to the kidney. The nephron has a cup-shaped nephric capsule that surrounds a cluster of capillaries called the glomerulus. A good deal of fluid from the blood filters into the
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Introduction This assignment focuses on the cost functions of the Dutch Railways. In this tutorial will be an estimated cost function developed for the Nederlandse Spoorwegen (NS). This cost function (expressed in Dutch Guilders) is based on the period of Year 1951 till Year 1993. This due to certain developments that made it more difficult to come to a good approach of a cost function. Based on the cost function‚ developed in this tutorial‚ there will be an answer provided on the question whether
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1.2 Basics of Functions and Their Graphs Introduction to Relations Domain and Range of a Relation Any set of ordered pairs (x‚y) is called a relation in x and y. Furthermore‚ The set of first components in the ordered pairs is called the domain of the relation. The set of second components in the ordered pairs is called the range of the relation. Definition of Function and Vertical Line Test Definition of a Function Given a relation in x and y‚ we say “y is a function of x” if for every
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There are four functions of management that allow any organization to handle the tactical‚ planned and set decisions. The four basic functions of management are planning‚ organizing‚ leading‚ and controlling. The four basic functions of management are just to have a controlled plan over the preventive measure. The functions of management define the process of management as diverse from accounting‚ finance‚ marketing‚ and other business functions. These functions provide a useful way of classifying
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