...Student Answer form Unit 3 1. a. t^2/3=4 (t^2/3)^3=(4)^3 t=√64 t=8 b. 5√x+1=3 5√x+1-1=3-1 5√x=2 (5√x)^5=(2)^5 X=32 c. 2/3=2-5x-3/x-1 3*(x-1)*2/3=3*(x-1)*(2)-3(x-1)5x-3/x-1 2*(x-1)=6*(x-1)-3*(5x-3) 2x-2=6x-6-15x+9 2x-2x=9x+3 2x=-9x+3+2 2x+9x=3+2 11x=3+2 11x=5 x=5/11 2.√x+2-x=0 a. x=x^2-4x+4 x^23x+4=0 (x+1)(x-4)=0 √(-1)+2-1=0 √4+2-4=0 x=4 b. 4-x/x-2=-2/x-2 4*(x-2)-x=2 4x-8-x=-2 3x-8=-2 3x=-2+8 3x=6 x=6/3 x=2 When plugged into the original equation, there is a division by zero. Because that is not allowed x≠2, which means there in no solution 3. a. 800cm^3 s=3√800 s =3√800=9.283 s=9.283 b. 500cm^3 s=3√500 s=3√500=7.937 s=7.937 4. a. w=33-(10.45+10√9-9)*(33-10)/22 w=33-(10.45+10*3-9)*(23)/22 w=33-723.35/22 w=31.38 b. w=33-(10.45+10√15-15)(33-0)/22 w=33-(34.18)(33-0)/22 w=33-(34.18)(33)/22 w=33-1127.94/22 w=33-51.27 w=-18.27 c. w=33-(10.45+10√20-20)(33-(-10))/22 w=33-(10.45+10√4*5-20)(33-(-10))/22 w=33-(10.45+10√4*√5-20)(33-(-10))/22 w=33-(10.45+10*2*√5-20)(33-(-10))/22 w=33-(10.45+20*√5-20)(33-(-10))/22 w=33-(-9.55+20*√5)(43))/22 w=33-(-410.65+860*√5)/22 w=443.65-860*√5/22 w=44365-860*2.036/22 w=443.65-1923.018/22 w=-1479.368/22...
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...0013409石婉甄 1.3-20 a.select 3 vertices from A,B,C,D,E,F,G,H in C(8,3) ways,so there are 56 ways b.select 4vertices from A,B,C,D,E,F,G,H in C(8,4 ways,so there are70ays c.total polygons 28-C(8,0)-C(8,1)-C(8,2)=219 1.3-25 b.4!0!2!=12 1.4-12 a.x1+x2+x3+x4+x5+x6=39,xi≧0,1≦i≦6.there are C(6+39-1,39)=C(44,39) b.let yi=xi+3 1≦i≦5 y1+y2+y3+y4+y5≦54,yi≧0,C(6+54-1,54)=C(59,54) 1.4-19 r=4,nested for loop,so1≦m≦k≦j≦i≦20,we are making selections,with repetition of size r=4 from a collection of size n=20,=>C(23,4) 1.4-23 a.put one object into each container,then there are m-n identical object to place into distinct containersC(n+(m-n)-1,m-n)=C(m-1,m-n)=C(m-1,n-1) b. put r object into each container. The remaining m-rn object canbe distributed among n distinct containers C(n+(m-rn)-1,m-rn)=(m-1+(1-r)n,n-1) 1.4-28 a.x1 1s followed by x2 0s followed by x3 1s followed by x4 0s followed by x5 1s followed by x6 0s,where x1+x2+x3+x4+x5+x6=n, x1,x6≧0 x2,x3,x4,x5>0 =>y1+y2+y3+y4+y5+y6=n-4,where yi≧0 for1≦i≦6 The number is C(6+(n-4)-1,n-4)=C(n+1,n-4)=C(n+1,5) b. for n≧6,x1 1s followed by x2 0s followed by x3 1s followed by x4 0s followed by x5 1s followed by x6 0s…followed by x8 0s,where x1+x2+x3+x4+x5+x6+x7+x8=n, x1,x8≧0,x2,x3..x7>0 =>y1+y2+y3+y4+y5+y6+y7+y8=n-6,where yi≧0,for 1≦i≦8 The number is C(8+(n-6)-1,n-6)=C(n+1,n-6)+C(n+1,7) c.2nstring in total n+1 strings where there are k 1s followed by n-k 0s for k=0,1,2…3.there are no o1s in n+1 strings, 2^n-(n+1)= 2^n-C(n+1...
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...Bluffing Game We will play the Bluffing Game next class. As a preparation, please think about the game, answer the questions on the opposite side, and turn in this sheet to the TA or on Moodle before 9:00 am 4/1/12. Description of Bluffing Game The game is a very simple sort of poker. Be prepared to play either role (A or B) Both players put $100 (hypothetical money) into “the pot” before play begins Player A receives a card. 1/3 of time it’s “Good Card”, 2/3 of time it’s “Bad Card”. (Player B does not get a card.) After getting the card, Player A can either bet $100 more (“Raise”) or Not If Not Raise, game ends and Player A wins the pot (for net winning +100) if Good Card and loses pot (for net –100) if Bad Card. This is a zero-sum game, so B loses whatever A wins and vice versa. If Raise, Player B either gives up (“Fold”) or puts in an extra $100 also (“Call”) oIf Fold, Player A wins the pot automatically (payoff +100) oIf Call, Player A wins the pot if Good Card (payoff +200) and loses the pot if Bad Card (payoff -200) How would you play? Suppose that, before the game is played, your opponent is given the chance to tell you “how she thinks the game should be played”. (Suppose for our purposes that she tells the truth.) 1. “The way to play is to Raise given a Good Card and Not Raise given a Bad Card. This maximizes one’s winnings and minimizes one’s losses.” * If you are player B, how would you play, given that this is how she thinks one...
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...DMS – FINAL PROJECT PROJECT TITLE: EVERY BUSINESS NEEDS AN ANGEL WRITTEN AND SUBMITTED BY: IRIS CHONG Executive Summary (1) Background Just before last Christmas, Marsh & McLennan Companies Inc. announced the acquisition of HSBC Insurance Brokers Limited (‘HIBL’), through its subsidiary MMC UK Group Limited.1 (‘Marsh’) The announcement came as a surprise for me and quite a few of my fellow workers at the HSBC Insurance Brokers (Asia-Pacific) Ltd.2 – somebody bought us out?! Nobody told us! (2) Purposes of report Applying the Co-opetition model3 and the Game Theory,4 I would like to take advantage of this project paper to try to find out some of the hidden ‘Whys’ and ‘Whats’ leading to the acquisition, which might have been classified for internal use, and not released. The exercise and the findings would be useful for future strategic management. (3) Scope and limitations Given the geographic locations of Marsh and HIBL, and the confidential nature of the transaction, the acquisition was already factual at the time of its public announcement. Furthermore, the HIBL CEO Announcement5 about the acquisition in Hong Kong was focused mainly on the process of integration, with measly disclosure of the underlying motives. As such, while I believe I have done ample researches and obtained reasonably sufficient information to proceed with the project paper, some of my findings may have been speculative, and may deviate materially from the unpublished corporate records;...
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...GRE MATH FORMULAE Mixtures first.... 1. when you mix different quantities (say n1 and n2) of A and B, with different strengths or values v1 and v2 then their mean value vm after mixing will be: Vm*(n1 + n2) = (v1.n1 + v2.n2) you can use this to find the final price of say two types of rice being mixed or final strength of acids of different concentration being mixed etc.... the ratio in which they have to be mixed in order to get a mean value of vm can be given as: n1/n2 = (v2 - vm)/(vm - v1) When three different ingredients are mixed then the ratio in which they have to be mixed in order to get a final strength of vm is: n1 : n2 : n3 = (v2 - vm)(v3 - vm) : (vm - v1)(v3 - vm) : (vm - v2)(vm - v1) 2. If from a vessel containing M units of mixtures of A & B, x units of the mixture is taken out & replaced by an equal amount of B only .And If this process of taking out & replacement by B is repeated n times , then after n operations, Amount of A left/ Amount of A originally present = (1-x/M)^n 3. If the vessel contains M units of A only and from this x units of A is taken out and replaced by x units of B. if this process is repeated n times, then: Amount of A left = M [(1 - x/M)^n] This formula can be applied to problem involving dilution of milk with water, etc... EXPLAINATION TO THE ABOVE FORMULA when you mix different quantities (say n1 and n2) of A and B, with different strengths or values v1 and v2 then their mean value vm after mixing...
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...6 แนวคิดเชิงกลยุทธ์ ที่ควรมีสำหรับนักบริหาร โดย วิบูลย์ จุง : Wiboon Joong (wbj) หากคุณเป็นนักบริหารที่ต้องการประสบความสำเร็จในยุคโลกาภิวัฒน์ซึ่งมีการแข่งขันสูงเช่นในปัจจุบัน การเรียนรุ้ในเรื่องสิ่งต่างๆที่เกี่ยวข้องกับธุรกิจ เป็นสิ่งที่จำเป็นอย่างยิ่ง แต่การเรียนรู้สิ่งต่างๆรอบข้างนั้น ก็ยังไม่อาจที่จะทำให้ประสบความสำเร็จที่แท้จริง นักบริหารสมัยใหม่ที่จะประสบความสำเร็จสูงสุดได้ ควรจะต้องฝึกฝนตนเองให้มีทักษะความคิดที่เป็นเลิศด้วย ซึ่งแน่นอนว่า ทักษะความคิดที่ดีที่สุดสำหรับนักบริหาร ก็คงหนีไม่พ้น ความคิดเชิงกลยุทธ์ (Strategic Thinking) เพื่อทำให้ตนเองเป็นนักคิดเชิงกลยุทธ์ (Strategic Thinker) เพื่อจะได้ใช้ประกอบกับความรู้ที่มี เพื่อคิดหาทางแก้ไขปัญหา และ หาแนวทางที่ดีที่สุด สำหรับองค์กรต่อไป แนวคิดเชิงกลยุทธ์ เริ่มจากแนวคิดที่นำมาใช้ในการศึกสงคราม และ ได้นำเข้ามาสู่วงการธุรกิจ ซึ่งจะเห็นว่า แนวคิดเชิงกลยุทธ์เหล่านี้ มีมาตั้งแต่อดีต ก่อนสมัย ซุน วู หรือ สามก๊ก เสียด้วยซ้ำ ทั้งนี้ ทางยุโรป และ อเมริกา ได้มีการศึกษาเพิ่มเติม และได้รวมรวมแนวคิดเชิงกลยุทธ์ไว้มากมาย หลากหลายรูปแบบ แต่ที่น่าสนใจและสามารถนำไปต่อยอดแนวความคิดได้หลากหลาย และเป็นรูปธรรม มีอยู่ 6 แนวคิดคือ 1. ความคิดในมุมมองขององค์รวม (Holistic Thinking) และ ความคิดในเชิงบริบท (Context Thinking) ความคิดในมุมองขององค์รวม หรือ Holistic Thinking และ ความคิดในเชิงบริบท (Context Thinking) นี้ เป็นแนวความคิดเพื่อตอบโจทย์ในเหตุการณ์ต่างๆ อย่างรอบคอบ หรือ หาแนวความคิดให้ครบ ให้ถ้วนถี่ เช่น การเดินหมากรุกแต่ละครั้ง ก็ต้องคิดไปถึงการเดินต่อไปของฝั่งตรงข้ามอีกหลายช๊อตว่าเขาจะเดินได้อย่างไรบ้าง และ เขากำลังต้องการทำอะไร หรือ แม้นแต่การศึกสงครามที่ใช้กลยุทธ์ในการวางแผนการรบ...
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...BGI ENGITECH PVT LTD Affordable and Impregnable Security from Israel BGI’S BOLLARDS ( K8 EQUIVALENT) The wide range of bollards offered by BGI, provides a cost-effective solution for every site. The automatic, semi-automatic and fixed versions are all engineered to meet international antiramming standards of K8. The B3000 series offers the highest standard of anti-ramming and security protection. Taking as little as 1.5 seconds to reach the fully raised position, these bollards can be used in the most demanding locations where high-volume traffic flows must be managed. With a patent-pending mechanism for releasing the internal piston, the bollards can be maintained without disassembly and if necessary, the entire unit can be removed without the need for digging out the foundations. TECHNICAL SPECIFICATIONS OF AUTOMATIC PNEUMATIC BOLLARDS ( K8 EQUIVALENT) SR. NO. DESCRIPTION SPECIFICATIONS 1 2 3 4 5 6 Model Type Rating Company Certifications Mechanism Speed Height B3200 K 8 (Stops 6.8 ton vehicle coming at 60 km/hr speed) ISO 9001-2008 (Gates & Barrier Solutions) Pneumatic 2 -3 Secs. 700 mm 207,PresidentPlaza,S.G.Highway,Thaltej,Ahmedabad380054(T)+917940098236(F)+917940098162.www.bgiengitech.com BGI ENGITECH PVT LTD Affordable and Impregnable Security from Israel 7 8 9 10 11 12 13 14 Diameter Thickness Power Supply In case of Power Failure Water proof and protection Finishing Treatment Operating Temperature Operating Cycles per day 225 mm 12 mm 5-6 ATM air...
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...Title: Specific Heat of a Metal Purposes: Be able to measure specific heat. Be able to use a calorimeter correctly. Be able to find and measure the specific heat of a metal. Calculate the change in water temperature. Hypothesis: The specific heat of the metal sample (lead) will be very low. Safety: goggles, apron, hair restraints, Bunsen burner, heated water, harmful metals, breakable glass containers Materials: goggles and apron, beaker (250 mL or 400 mL) , hot plate/burner with ring stand, ring, and wire gauze, test tube(18 x 150 mm), plastic foam cup, thermometer, balance Procedure: 1. Put on goggles and apron. 2. Fill beaker half way with water. Put beaker on ring stand with wire gauze. Heat beaker with water to boiling point. 3. Fill test tube half way with metal 4. Put a weight boat on the balance. Pour metal from test tube into the weight boat. Record weight and pour metal back into test tube. 5. Put test tube of metal into the water. Leave inside the beaker of boiling water while completing step 6 and 7. 6. Use the foam cup as calorimeter. Measure mass and record. 7. Fill foam cup with room temperature water and record mass. 8. Put thermometer in test tube and record temperature. 9. Put thermometer inside the foam cup and record the temperature of the water. 10. Take test tube out of the boiling water and immediately pour inside the foam cup. 11. Stir the water and record highest temperature. 12. Pour water out,...
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...10 SCIENCE SAYINGS “The whole of science is nothing more than a refinement of everyday thinking.” -Albert Einstein “Science is a way of thinking much more than it is a body of knowledge.” -Carl Sagan “No amount of experimentation can ever prove me right; a single experiment can prove me wrong.” -Albert Einstein “In all science, error precedes the truth, and it is better it should go first than last.” -Hugh Walpole “Science is simply common sense at its best, that is, rigidly accurate in observation, and merciless to fallacy in logic.” -Thomas Huxley “Science is like a love affair with nature; an elusive, tantalising mistress. It has all the turbulence, twists and turns of romantic love, but that's part of the game.” -Vilayanur S. Ramachandran “Success is a science; if you have the conditions, you get the result.” -Oscar Wilde “Science may never come up with a better office communication system than the coffee break.” -Earl Wilson “Science is nothing but perception.” -Plato “Science is the father of knowledge, but opinion breeds ignorance.” -Hippocrates 15 SCIENCE TRIVIA •Did you know? The earliest fossil cockroach is about 280 million years old 80 million years older than the first dinosaurs. •Did you know? The tungsten filament inside an incandescent light bulb reaches a temperature of 4,664 degrees Fahrenheit when turned on. •Did you know? Unlike many substances, water expands as it freezes. An ice cube takes up about 9% more volume than the...
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...Ladies and gentleman we need your help. Today I want to talk about the facts, disperse the myths and highlight the many ways we can help save our planet. Our planet is slowly dying right beneath our feet. Our planet has risen 0.6 of a degree for the past ten years. The United Nations panel has predicted that the temperature will rise 3-10 degrees Fahrenheit by the century’s end. Yet we are still burning coal and oil the two of the world’s most top reasons why global warming is happening. If we do not do anything about it what we call as our today we will be saying was our planet yesterday. If global warming continues and temperatures continue to rise then it will be enough to have the polar caps all but melted. If this happens majority of Americas border will be under water including the famous city New York. Monuments and great building, as well as homes and lives will be lost forever, unless we all work together and take action to stop global warming today! I know we are all concerned about the effect global warming we can feel its affects on a daily basis. Yes we have heard it all before, but what can we do as individuals do to help save our planet? If everyone made some minor changes in their life than it we will have already started in saving our planet. Australia is particularly vulnerable to global warming environmentally and economically. We already live on the driest inhabited continent on earth. We are already experiencing more severe droughts in the bush, and...
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...mold & muschroom * Can have virucide: target viruses best * Kill several mechanisms * Damage proteins * Can damage plasma membrane * Can damage nucleic acid * Static agents – DO NOT KILL, but can stop growth * Cidal agents – ALWAYS KILL * Sepsis and Asepsis * Indicates bacterial contamination * Translated to purid * Asepsis: free from significant contamination * Aseptic technique II. The Rate of Microbial Death: Bacteria usually die at a constant rate. * Death is constant = linear graph * Example is 90% per minute * First few die very quickly * Last few in population will be hard to kill * Very hard to get to zero microbes * Example: brushing your teeth & bad breath * Only a few microbes can establish entire population...
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...Chemistry Lab Chemistry Lab Aim: To investigate the specific heat capacity of water, copper and aluminium by using a caloriometer. Results: 1. Ohms Law: I=v/r, equation 3 = E=vlt hence you get E= v2t/r when ohms law is applied to equation 3. 2. De ionized water is used as it is the purest form of water, as it doesn’t contain ions from the soil like normal water which allow the conduction of electricity as normal water allows electrons to flow, thus preventing any extraneous variables to affect the experiment. 3. The value for Tf = 100o as water has a boiling point of 100o 4. SH = 1.00cal.g-1.c-1 m= density x volume (Tf – Ti) = 100 – 19.9 = 1 x 1,000ml = 80.1 = 1,000g EH2O = SH.m.(Tf – Ti) = 1 x 1,000 x 80.1 = 80,100cal Converting to Joules (1cal = 4.184j) 1000*4.184* 80.1= 335,138.4 joules g-1 deg-1 EKettle= V2.t / R V= 240 t= 219s R= 34.7 2402 * 219/34.7 =363,527.38 joules = E of kettle 5. The amount calories required to raise 1 gram of water by 1 degree Celsius is specific heat. Hence 80,100 calories are required to heat up the water, this shows the association between question 4. 6. In question 4, it can be observed that the energy produced by the kettle was 363,527.38 joules, however only = 335,138.4 joules g-1 deg-1 of energy was required to raise the water 80.1 degrees Celsius. Thus...
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...Essay on Pro Global Warming I believe that Global Warming has been here since we first started using machines, which used steam engines or combustion engines. The first type of wheeling automobile was made in 1769 that is about 250 years ago. So since the first type of ‘car’ was invented so much time ago, then we can assume that there has been carbon dioxide, smoke and steam in the atmosphere. When this happens the atmosphere breaks into little holes, through those holes the rays of the sun pass through the atmosphere, and therefore global warming is created. This is how global warming is produced, it has been present since a long time ago, and what I just went through is the process of it. “People tend to focus on the here and now. The problem is that, once global warming is something that most people can feel in the course of their daily lives, it will be too late to prevent much larger, potentially catastrophic changes.” Elizabeth Kolbert, The New Yorker, Apr 25, 2005. Kolbert, is a very successful writer, and she might not be known world wide, but she is very wise, because she wrote something seven years ago, which by now is becoming true. I feel that Global Warming is getting to a point that the whole world is about to meet him, because now only educated people know about it, and we must all know that global warming is real. As a matter of a fact one can see many reasons or facts to why Global Warming is real, and it is not only real, but also it is starting to get...
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...Matt Fowler RES 297 11/12/13 Evidence Based Medicine Research Assignment 1) In Vitro Evaluation of Heat and Moisture Exchangers Designed for Spontaneously Breathing Tracheostomized Patients Claudia Brusasco, MD⇑ Dipartimento di Scienze Chirurgiche e Diagnostiche Integrate, Sezione Anestesia e Rianimazione Francesco Corradi, MD PhD Dipartimento Cardio-Nefro-Polmonare, Sezione Terapia Intensiva Cardiochirurgica, Azienda Ospedaliero Universitaria di Parma, Italy. Maria Vargas, MD Dipartimento di Scienze Chirurgiche e Diagnostiche Integrate, Sezione Anestesia e Rianimazione Dipartimento di Anestesia e Terapia Intensiva, Università di Napoli Federico II, Napoli, Italy. Margherita Bona, MD Dipartimento di Scienze Chirurgiche e Diagnostiche Integrate, Sezione Anestesia e Rianimazione Federica Bruno, MD Dipartimento di Scienze Chirurgiche e Diagnostiche Integrate, Sezione Anestesia e Rianimazione Maria Marsili, MD Dipartimento di Scienze Chirurgiche e Diagnostiche Integrate, Sezione Anestesia e Rianimazione Francesca Simonassi, MD Dipartimento di Scienze Chirurgiche e Diagnostiche Integrate, Sezione Anestesia e Rianimazione Gregorio Santori, MD Dipartimento di Scienze Chirurgiche e Diagnostiche Integrate, Università Degli Studi di Genova, Istituto di Ricovero e Cura a Carattere Scientifico, Azienda Ospedaliera Universitaria San Martino, Genova, Italy. Paolo Severgnini, MD Dipartimento Scienza ed Alta Tecnologia, Sezione Ambiente Salute Sicurezza...
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...HISTORY OF THERMOMETERS DATE | EVENT | DESCRIPTION | 1593 | Galileo Thermoscope | In 1593, Galileo Galilei invented a thermoscope, which for the first time, allowed temperature variations to be measured. It was a container filled with bulbs of varying mass, each with a temperature marking. As the temperature changed so with the waters buoyancy, and some of the bulbs would sink and others would float. The lowest bulb indicated what temperature it is. | 1612 | Santorio Thermoscope | Santorio Sontorio became the first to put a numerical scale on his thermoscope. It was probably the first thermometer to be used for medical use as it was meant to be put in a patient's mouth for temperature taking. | 1654 | Ferdinand II thermometer | In 1654 the Grand Duke of Tuscany, Ferdinand II, invented the first liquid-in-a-glass thermometer. He use alcohol as his liquid, but his thermometer was still inaccurate and didn't use a standardized scale. | 1714 | Daniel Gabriel Fahrenheit | Daniel Fahrenheit was the inventor of the modern day thermometer filled with mercury, and in 1724 he introduced the Fahrenheit scale which could be used to record changes in temperature accurately. On this scale water freezes at 32 degrees and boils at 212 degrees. Fahrenheit based his scale on the human body temperature which was 100 degrees but has been adjusted to being 98.6 degrees. | , 1742 | Celsius Scale | In 1742, the Celsius scale was invented by Swedish Astronomer Anders Celsius. The Celsius scale...
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