Upstream: 60 = 6(b-c) Downstream: 60 = 3(b+c) There are now two separate equations: 60 = 6b - 6c and 60 = 3b + 3c Solve both equations for b: b = 10 + c b = 10 - c Now make both equations equal each other and solve for c: 10 + c = 10 - c 2c = 0 c = 0 The speed of the current was 0 mph Now‚ plug the numbers into one of either the original equations to find the speed of the boat in still water. I chose the first equation: b = 10 + c or b = 10 + 0 b = 10 The speed of the boat in still water must
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DIFFERENTIAL EQUATIONS 2.1 Separable Variables 2.2 Exact Equations 2.2.1 Equations Reducible to Exact Form. 2.3 Linear Equations 4. Solutions by Substitutions 2.4.1 Homogenous Equations 2.4.2 Bernoulli’s Equation 2.5 Exercises In this chapter we describe procedures for solving 4 types of differential equations of first order‚ namely‚ the class of differential equations of first order where variables x and y can be separated‚ the class of exact equations (equation
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THE ACCOUNTING EQUATION The accounting equation can be described as of the basis of accounting. This is because it describes the double entry principle of book-keeping. It is a representation of how funds are raised to finance Assets. The equation is illustrated below: Asset = Capital + Liabilities For example‚ a girl needs to buy a laptop costing £500. She already had £250 in personal savings and then took a loan of £250 from her boyfriend. Here is the equation again: Asset Capital
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Mole Fraction Return to Solutions Menu The mole fraction is: moles of target substance divided by total moles involved The symbol for the mole fraction is the lower-case Greek letter chi‚ χ. You will often see it with a subscript: χsolute is an example. Example #1: 0.100 mole of NaCl is dissolved into 100.0 grams of pure H2O. What is the mole fraction of NaCl? Solution: 100.0 g / 18.0 g mol¯1 = 5.56 mol of H2O Add that to the 0.100 mol of NaCl = 5.56 + 0.100 = 5.66 mol total Mole fraction
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The Maxwell equations Introduction:- One of Newton’s great achievements was to show that all of the phenomena of classical mechanics can be deduced as consequences of three basic‚ fundamental laws‚ namely Newton’s laws of motion. It was likewise one of Maxwell’s great achievements to show that all of the phenomena of classical electricity and magnetism – all of the phenomena discovered by Oersted‚ Ampère‚ Henry‚ Faraday and others whose names are commemorated in several electrical
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around 250A.D. started some kind of research on some equations involving more than one variables which would take only integer values.These equations are famously known as “DIOPHANTINE EQUATION”‚named due to Diophantus.The simplest type of Diophantine equations that we shall consider is the Linear Diophantine equations in two variables: ax+by=c‚ where a‚b‚c are integers and a‚b are not both zero. We also have many kinds of Diophantine equations where our main goal is to find out its solutions
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Tro’s Chemistry Chapter 13 – Chemical Kinetics Page 1 of 13 Acknowledgements: Many of the images are adopted from Tro’s textbook‚ the only purpose of which is to enhance student learning. Key terms‚ concepts‚ skills: Refer to pp 599 – 601. Review questions: 3 – 24. Suggested problems: 25‚ 27‚ 33‚ 39‚ 43‚ 53‚ 57‚ 59‚ 69‚ 73‚ 75‚ 81‚ 93‚ 103. 13.1 & 2 Introduction to the Rate of a Chemical Reaction • kinetics is the study of the factors that affect the speed of a reaction and the mechanism by
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velocity of the stream using Equation 1. (Eqn. 1) Where is the flowrate in m3/s and A is the cross-sectional area of the pipe. To find the flowrate‚ we multiply the flowmeter reading by the constant and convert from gallons to cubic meters as follows: The cross sectional area of the 7.75mm pipe is Plugging these values into Equation 1‚ we obtain a bulk velocity . With the bulk velocity value‚ we can find the Reynolds number of the flow using Equation 2. (Eqn. 2) Plugging
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The media equation is a theory developed by two professors of communication‚ Byron Reeves and Clifford Nass‚ at Stanford University. The theory is simple. They state that people treat the media as if they were real‚ hence the equation: media = real life. Basically Reeves and Nass are saying that people on an unconscious level perceive the media as real. People view objects of the media are talking to them personally. Reeves and Nass view things such as computers‚ televisions‚ radios‚ and other
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ACCOUNTING EQUATIONS 1. Show the accounting equation for the following transaction (i) Ram started business with cash 20000‚ stock 50000‚ building 30000 (ii) Sold goods to Amit for cash 20000 and credit 15000 (iii) Paid rent 500 and rent outstanding 150 (iv) Sold goods costing 12000 for Rs. 15000 (v) Accrued commission 2000 (vi) Furniture purchased from Lalit 12000 and paid 3000 in cash (vii) Received from Amit 13500 in full settlement (viii)
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