Register now to access 7 million high quality study materials (What's Course Hero?) Course Hero is the premier provider of high quality online educational resources. With millions of study documents, online tutors, digital flashcards and free courseware, Course Hero is helping students learn more efficiently and effectively. Whether you're interested in exploring new subjects or mastering key topics for your next exam, Course Hero has the tools you need to achieve your goals.
44 Pages
Wildland Fires
Course: GLG 110, Fall 2008School: ASU
Rating:
Word Count: 1536
Document Preview
ProfessorStanleyWilliams GLG110GeologicDisasters&Environment Today:WildlandFires Instructor: Email:stan.williams@asu.edu Image: John McColgan TA: CarolButler Email:clbutler@asu.edu CourseWebsite:http://glg110.asu.edu Outline Definitions NeedforFire Causes ControlsonFireBehavior Stages&TypesofFire FightingtheFire PostFire ReducingtheRisk&FireSafety Muchoftodayslecturecomes...
Unformatted Document Excerpt
Coursehero >> Arizona >> ASU >> GLG 110Course Hero has millions of student submitted documents similar to the one
below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.
Course Hero has millions of student submitted documents similar to the one
below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.
ProfessorStanleyWilliams GLG110GeologicDisasters&Environment
Today:WildlandFires
Instructor: Email:stan.williams@asu.edu
Image: John McColgan
TA: CarolButler Email:clbutler@asu.edu
CourseWebsite:http://glg110.asu.edu
Outline
Definitions NeedforFire Causes ControlsonFireBehavior Stages&TypesofFire FightingtheFire PostFire ReducingtheRisk&FireSafety
Muchoftodayslecturecomes fromChapter13:Firefrom GeologicDisastersbyPatrick Abbot,(McGrawHill,2002)
GLG110Fall2003
DisasteroftheDay
Southern
California& Mexico
660,000acresin denselypop. suburbs
(thisis150,000
Image: REUTERS/Lucy Nicholson
moresince Tuesday)
2,600homes destroyed; 300,000atrisk atleast20deaths (worstsince1991)
GLG110Fall2003
National Interagency Fire Center
DisasteroftheDay
StrongSantaAnawinds
frommountainshave stopped Temperaturesdropping Windsnowfromocean
Moistairhelps Windstoostrong,push flamesotherwaynow andgroundfirefighting aircraft
Los Angeles
Salton Sea
San Diego
MX
GLG110Fall2003
DisasteroftheDay
1Firefighterkilledotherswoundedwhenflames
overcamecrewnearSanDiegoyesterday
Reportsofmen
throwingflaming itemsout windowsoftruck tostartacouple ofthefires
GLG110Fall2003
Image: AP/Reed Saxon
Disasterofthe Day
Treesvulnerable
duetobark beetle destruction= manydeadtrees =easytinder Bushdeclared regionadisaster area
GLG110Fall2003
Image: AFP/NASA
Image: AP/Tim Tadder
San
Dieg
o co
vere d by
smo
ke
View from the International Space Station
DisasteroftheDay
Nearly13,000firefighters,some
fromneighboringstates MaybecostliestdisasterinCalifornias history $9M/day
GLG110Fall2003
Image: REUTERS/Lucy Nicholson
DisasteroftheDay2
Colorado2newfires,downedpowerlines? ManyareafirefightersareinCalifornia Strongwindsfuelingfire ~600acresburnedsofarnearBoulderand
Denver
GLG110Fall2003
Image: Ed Andrieski
Fire=extremelyhotreleaseofenergy
Definition
fromchemicalreactionbetweenoxygen andwoodymaterial Fireisphotosynthesisinreverse
Photosynthesis:
CarbonDioxide+Water
+heatfromSun= wood+Oxygen
Fire:
wood+Oxygen=
carbondioxide+water+releasedheat
GLG110Fall2003
WildlandFire
Wildfire=outof
controlfire WildlandFire=fire thatisoccuringin thenatural environment Mostdays,inthe U.S.,awildlandfire isburning
GLG110Fall2003
Image: Ben Croft / U.S.F.S.- M.T.D.C.
NeedforFire
Fireisoftenanessentialpartoftheecosystem
Grasslands, seasonaltropical forests, sometemperate climateforests, Mediterraneanclimate shrublands Cleansupfirefuel, promotesseedgrowth
Image: www.wildlandfire.com
GLG110Fall2003
Causes
Natural Lightning(especiallywhenassociatedwith drought)
Lightningstrikes>100,000times/day 1020%ofthesestrikescauseafire
HumanActivity(910wildlandfires) 1outof5humancausedwildfiresstartedbya camporwarmingfirethatgotaway 1outof10wildlandfiresiscausedbya carelesssmoker
GLG110Fall2003
Combination SantaAnawindsdownedpowerlinesin1983 startedfirethatburned9daysinCalifornia
Causes
GLG110Fall2003
ControlsonFireBehavior
Fuelsupplyand
type Landscapeand topography Wind Moisture TimeofDay HumanActivity
Image: www.wildlandfire.com
GLG110Fall2003
Anycombustiblematerialisfuel Grasses=fastspreadingfires Shrubs=easyburning,hotfiresfromhighnatural oilcontent Slash=debrisleftongroundafterloggingor windstorms Treesandforests Housesandother structures Somematerialsaremore
Fuel
flammablethan others
GLG110Fall2003
http://www.wildlandfire.com
Nightfallwarmair
Fire&TimeofDay
trapscoolerairagainst mountains Windscalm Humidityrises Dampensfirespread
Image: Western Forest Fire Research Center
Daylighttrapping
layerbreaksup
GLG110Fall2003
Image: Western Forest Fire Research Center
allowsaccumulated smokeand combustiblegases torise Spursthefire
Fire& Topography
Image: Western Forest Fire Research Center
Hotgasesrisein
Image: www.wildlandfire.com
GLG110Fall2003
columncreatingatorch Aslope,bringsgases intocontactwith vegetationabove Windscancreate blowup
Fire&Topography
StormKingMountain,
Colorado1994
Firestartedbylightningin droughtdryareaonmountain top Spreadgenerallydownslope withafewupslopeburstsof shortduration Consistentspreadrate 14firefighterswerekilledon4th dayofthefireinablowup
Image: BLM Colorado
GLG110Fall2003
Image: Sarah Doehring
Fire& Topography
Contributing
Origin of blowup
GLG110Fall2003
Factors Fireatbottomof narrowcanyon Dry,coldfront movedintoarea Steepupslope windsresulted Flamescrowned inunburnedarea at6to9 ft/second Communications breakdown, firefighters unawareofwind shift
StagesofWildlandFire
Anywildlandfiretransitionsthrough4
stagesinitsactivelife
Preheating:waterisexpelled Pyrolysis:thermaldegradationofwoodand releaseofflammablegases(above480F) FlamingCombustion GlowingCombustion
GLG110Fall2003
StagesofFire
I.Preheating& Pyrolysis II.Flaming Combustion Combustion
GLG110Fall2003
Image: III.Glowing David DeVorkin
TypesofWildlandFires
GroundFires=burnunnoticeablyunderground
inbogsandforests(coalfires)
spreadisslow theymaypopoutofthegroundanywhereandcause damageinunlikelyareas
SurfaceFires=
Image: BLM
burningrass, shrubs,plant matter(leaves, fallenbark)easyto control
GLG110Fall2003
TypesofWildlandFires
CrownFires: Dependant=heatandembersfromsurfacefiresignite topsoftrees tendsto occurin lowwinds arelow withtrees spacedfar apart
GLG110Fall2003
TypesofWildlandFires
CrownFires: Running=burnextremelyhot,travelrapidly,can changedirectionquickly mostdangerous aspect=convection currents
producemassive firestormsand tornados sendembersahead ofthemainfirefront creatingnewfiresin anotherdirection
firefightersworst
GLG110Fall2003
nightmare
June2002: RodeoChediskiFire
GLG110Fall2003
Over2weeks,theRodeoandChedeskifiresmergedintothelargestandmostexpensivefirein Arizonasknownhistory,costingmorethan$30million
GLG110Fall2003 http://earthobservatory.nasa.gov/NaturalHazards
GLG110Fall2003
RodeoChediskiFire
Chediskifire
startedbywoman lostinwoodsfor3 days
Notcharged
Rodeofirestarted
maliciouslyby contractfirefighter Claimedmillion acres,400homes
GLG110Fall2003
http://geo.arc.nasa.gov/sge/jskiles/top-down/gif_folder/oakland-fire1.gif
Oakland Firestorm,1991
Worstfireinvolvinglossoflife andpropertysincetheGreatSan FranciscoEarthquakeandFireof 1906 25deaths,3,000homes destroyed
GLG110Fall2003
http://graphics.stanford.edu/~lucasp/pictures/fire/fire.html
Oakland Firestorm
Rapid spread in many different directions 11:30 am 5 pm
GLG110Fall2003
OaklandFirestorm
Origin=steephillsideinboxcanyon;wooded
areawithheavyunderbrush,narrowstreetsand steepterrain 5yearlongdroughtinarea Weatherconditions=unusualeastwind,at speeds>65mph,recordhightemperatures
Radiocommunicationswereoftendifficultor
impossiblebecause: 1.Overload(toomanyunitsonthesame channel) 2.Toofewmutualaidchannelsavailable 3.Steep,hillyterraininterferedwithsignals
GLG110Fall2003
OaklandFirestorm
Fireunitslostwater,forcingretreat Cause:
1.Firesuppressionefforts 2.Citizenswettingroofsandvegetation 3.Waterflowingfreelyindestroyedhomes 4.Tanksandreservoirscouldnotberefilled becauseoffirecausedelectricalfailure 5.Manymutualaidfireenginecompanies couldnotconnecttohydrantsbecause ofhosecouplingsizedifferences
GLG110Fall2003
FightingWildlandFires
Planesand
helicoptersdump wateronit Firefightersdigditch aroundfirefront
Majorhighways aresimilar firebreak
Image: Kevork Djansezian
Spraytrees
(Andbuildings)
Burnout
GLG110Fall2003
Fighting Wildland Fires
Burnout Movefuel fromregion Setsmall fires downhill and downwind fromwildfire
GLG110Fall2003
Fire Front
Control Line
W
in d
Di
re ct
io n
Bu
rn
ou
t
Set smaller fires with helicopter drops to draw burnout uphill
Fuel moved from Burnout zone
PostFire
Erosion...
Textbooks related to the document above:
Find millions of documents on Course Hero - Study Guides, Lecture Notes, Reference Materials, Practice Exams and more.
Course Hero has millions of course specific materials providing students with the best way to expand
their education.
Below is a small sample set of documents:
Below is a small sample set of documents:
Wisc Stevens Point - SSIGM - 874
INDIVIDUALIZED EDUCATION PROGRAM: PRESENT LEVEL OF ACADEMIC ACHIEVEMENT AND FUNCTIONAL PERFORMANCEForm I-4 (Rev. 10/06)Name of Student Tim Buckto DOB: 11/25/2000 Duration of Service: 12/13/07- 12/12/08Describe the student's strengths and the conc
ASU - GLG - 110
GLG110 Geologic Disasters and the EnvironmentToday: Chapter 8 Mass MovementsInstructor:Professor Stanley Williams Email: stan.williams@asu.eduTA:Carol Butler Email: clbutler@asu.eduCourse Website: http:/glg110.asu.eduPollution from Pipel
Wisc Stevens Point - SSIGM - 874
PhysicalEducationforIndividualswithDisabilitiesIntroductionand Reflections IntroductionThiswasatwopartclass:onepartintheclassroomlearningaboutteachingstudents withdisabilitiesandanotherpartteachingstudentswithdisabilitiesinthepoolandinthe gymnasium.
Wisc Stevens Point - SSIGM - 874
Jump Rope for Heart Lesson Plan Age group: K-5 Lesson focus: Jump rope for heart, long and short rope skills Equipment needed: Jump rope for heart video, jump ropes, jump rope cue cards. NASPE standards met: Standard 1: Demonstrates competency in mo
NMSU - PHYSICS - 217
NMSU - PHYSICS - 217
NMSU - PHYSICS - 217
PHYS 217Heat, Light, and SoundDr. Boris KieferFall 2007Homework 13 Handed out: 11/30/07 Due date: 12/07/07 before class Textbook: R. D. Knight; Physics for Scientists and EngineersChapter 19: Problems: 22, 31, 39, 70, 71. Additional Problems:
Wisc Stevens Point - SSIGM - 874
Tennis Unit Plan Day 1 Introduction to tennis Scoring and rules Grips Mini tennis Day 2 Racket fundamentals Serving Forehand shot Tennis baseball Day 3 Racket fundamentals Serving Backhand shot Smash
NMSU - PHYSICS - 217
Instruction Sheet for the PASCO Model TD-8556A012-04696D 5/01 $1.00STEAM GENERATORTo direct the output of steam, attach 1/4-inch inside diameter tubing. For maximum output of steam, block one opening. Fill with water, 1/2 to 3/4 full.STEAM GEN
NMSU - PHYSICS - 217
PHYS 217Heat, Light, and SoundDr. Boris KieferFall 2007Homework 11 Handed out: 11/02/07 Due date: 11/09/07 before class Textbook: R. D. Knight; Physics for Scientists and EngineersChapter 17: Problems: 5, 19, 23; 25; 66.Additional problems:
Wisc Stevens Point - SSIGM - 874
Archery QuizName:_ Label each part of the target with the correct score. Draw lines to the correct circle.1 3 5 7 9 Label the parts of the arrow.Label 5 parts of this bow.True or False (T for true, 0 for false) _ If an arrow hits the target be
Wisc Stevens Point - SSIGM - 874
Fast Food Nutrition1. Go the website of your favorite fast food restaurant. www.mcdonalds.com www.burgerking.com www.pizzahut.com www.dairyQueen.comWWW .subway.com2. Look for the nutrition information at the website. Keep clicking until you find
Wisc Stevens Point - SSIGM - 874
My Pyramid,,My Pyramid Plan 1. Go to mypyramid.gov. 2. Look at the box entitled "My Pyramid Plan", and fill in your age, sex, activity., Click-on submit. 3. Use this information to fill in the pyramid on the back side of this worksheet. Write down
ASU - GLG - 110
GLG110GeologicDisasters andtheEnvironmentToday: Chapter8 MassMovementsInstructor:ProfessorStanleyWilliams Email:stan.williams@asu.eduTA:CarolButler Email:clbutler@asu.eduCourseWebsite:http:/glg110.asu.eduOverview Reviewfrom Thursday Human
Wisc Stevens Point - SSIGM - 874
Nutrition Lesson Plan Lesson Focus: Vitamins and Minerals National health Education Standards met: STANDARD 1 Students will comprehend concepts related to health promotion and disease prevention to enhance health. STANDARD 2 Students will analyze t
Wisc Stevens Point - SSIGM - 874
Secondary Lacrosse Unit Plan By: Daniel Filtz Lacrosse Unit Goals Students in the Lacrosse unit will learn an excellent lifetime activity. The students will learn to utilize a variety
Wisc Stevens Point - SSIGM - 874
High School Elective CourseUnit Goal: By the end of the unit, students will have the knowledge of safety, rules, equipment, and history. Students will learn about competitive and sport shooting, and develop an appreciation for such an
Wisc Parkside - CS - 331
Nonregular LanguagesChapter 1.4Chapter 1.41Nonregular LanguagesTo understand the power of regular languages, we must also understand what they can't do. The FA for a regular language requires a finite amount of memory and number of states. E
NMSU - PHYSICS - 211
NMSU - PHYSICS - 455
PHYS 455: Final Exam: 05/07/09; 10:30-12:30pm Name:_Some notes: (A) Your solution is only eligible for full credit if you show your work including units and relevant concepts, numerical values alone are insufficient for full credit. In other words y
NMSU - PHYSICS - 455
NMSU - PHYSICS - 455
PHYS 455: Homework 3 (Chapter 9) Due Date: likely to be 02/12/09 BEFORE class Problems: (each problem counts for 10 points) Chapter 9: Problem 9.3, 9.4, 9.5, 9.9, 9.10, 9.11, 9.12, 9.13, 9.15, 9.20, 9.21, 9.22. Problem 9.9a: Show that the moment of i
NMSU - PHYSICS - 455
PHYS 455: Homework 5 (Chapter 11) Due Date: Likely due date 03/31/09 Problems: (each problem counts for 10 points) 1. Problems 11.1; 11.3; 11.4; 11.5; 11.6; 11.7, 11.10; 11.15; 11.17. 2. Extra credit: Calculate the first derivatives of the following
NMSU - PHYSICS - 455
PHYS 455: Homework 5 (Chapter 11) Due Date: Likely due date 04/03/2007 Problems: (each problem counts for 10 points) 1. Problems 11.1; 11.3; 11.4; 11.5; 11.6; 11.7, 11.10; 11.15; 11.17. 2. Extra credit: Calculate the first derivatives of the followin
NMSU - PHYSICS - 455
NMSU - PHYSICS - 455
PHYS 455: Homework 7 (Chapter 13) Due Date: 05/03/07 before class Notes: 1. In order to qualify for credit or partial credit for a problem you need to show your work explicitly. For example output from MATHEMATICA, MATLAB or other symbolic manipulati
NMSU - PHYSICS - 211
Washington - MEBI - 531
Networking history1969 ARPANET - 56Kb dedicated lines, IMPs 1970's DECNET, XNS, SNA - proprietary designs 1977 - 1983 Ethernet (3 and 10 MHz), token ring 1981 BITnet - an IBM dinosaur (9600 baud) 1981 TCP/IP - supported local and wide area networks
Washington - MEDED - 532
The Common Lisp package systemSymbols in Common Lisp are grouped into packages. A symbol is said to be interned in a package, or owned by a package, referred to as its home package. Symbols may be internal or external. The full print name of a
Queens Charlotte - H - 331
THE RUSSIAN REVOLUTION19171815: Russia is the great winner in the Napoleonic Wars Alexander I becomes the dominant figure in European politics The Russian "System" seems to work! AUTOCRACY SERFDOMBUT: RUSSIA HAD MISSED THE TWO GREAT REVOLUTI
Queens Charlotte - H - 331
RUSSIA TODAYRUSSIA SINCE 19851985 1991 THE GORBACHEV YEARS1985: Communist Party selects new leader: MIKHAIL GORBACHEV GLASNOST: openness PERESTROIKA: economic reform1986: Chernobyl Old approach: denial, cover-up Gorbachev: open investiga
Mich Tech - CS - 4311
%!PS-Adobe-2.0 %Title: puzzle-2.ps %Creator: fig2dev Version 3.2 Patchlevel 1 %CreationDate: Mon Sep 30 11:09:38 2002 %For: nilufer@iskele.cs.mtu.edu (Nilufer Onder) %Orientation: Portrait %BoundingBox: 43 58 569 734 %Pages: 1 %BeginSetup %IncludeFea
Mich Tech - CS - 4311
%!PS-Adobe-2.0 %Title: hw6-q6.ps %Creator: fig2dev Version 3.2 Patchlevel 1 %CreationDate: Fri Oct 19 11:12:38 2001 %For: nilufer@iskele.cs.mtu.edu (Nilufer Onder) %Orientation: Portrait %BoundingBox: 41 107 570 684 %Pages: 1 %BeginSetup %IncludeFeat
Queens Charlotte - H - 331
RUSSIA'S "GOLDEN AGE"The 19th Century1. A Golden Age in Thought What is to be done? Defend Russia's Unique Culture Catch up to the West? Who should have power? How should power be used?Moscow in winterThe Great DebateSLAVOPHILS Preserve
Mich Tech - CS - 4311
%!PS-Adobe-2.0 %Title: puzzle-3.ps %Creator: fig2dev Version 3.2 Patchlevel 1 %CreationDate: Wed Nov 13 10:55:16 2002 %For: nilufer@iskele.cs.mtu.edu (Nilufer Onder) %Orientation: Landscape %BoundingBox: 18 41 595 750 %Pages: 1 %BeginSetup %IncludeFe
Queens Charlotte - H - 331
RUSSIA: Reform or Reaction? After 1815FROM TRIUMPH TO CRISISBackground: National histories have long trajectories PETER THE GREAT (r. 1682-1725) violently turned Russia toward Europe CATHERINE THE GREAT (r. 17621796) completed this drastic polit
Mich Tech - CS - 4311
X5n^3+2n^2 +22n+6 n^3 6n^3 n^2 2^n-1 35 1 6 1 22 98 8 48 4 43 225 27 162 9 84 446 64 384
Queens Charlotte - H - 331
THE COLLAPSE OF THE SOVIET UNIONThe Long Decline of the Brezhnev Years (1964 1982)By the late 1970s, Brezhnev was old, very ill, mentally unstable but still in powerCOLD WAR Dtente (1970s) Renewed Cold War (1980s)BREZHNEV DOCTRINE 1968:
Long Island U. - CWP - 0507
April 2007Sun1Mon2 Review Chapter 11Tue3 Chapter 11 ExamWed4 Algebra Review 5Thu6Fri7SatEASTER BREAKEASTER BREAK891011121314EASTER BREAKEASTER BREAKEASTER BREAKEASTER BREAKEASTER BREAK1516 12-1 12-2
Long Island U. - CWP - 0507
PROPERTIES OF MATHEMATICS For all real numbers:Additive Identity Property of Zero Associative Property of Addition Associative Property of Multiplication Commutative Property of Addition Commutative Property of Multiplication Distributive Property o
Long Island U. - CWP - 0507
1. 2 + 3[5 + 32] 2 + 3[5 + 9] 2 + 3[14] 2 + 42 = 44 2. 3(5)2 13 3(25) 13 75 13 = 62 3. 1 + 8 + 27 = 36 4. 100 4(3)3 100 4(27) 100 108 = -8 5. 3(11.5) + 6(3.7) 34.5 + 22.2 = 56.7 6. 2 + 6(4.7) 8(0.3) 2 + 28.2 2.4 = 27.8 7. (62 + 6) /
Queens Charlotte - H - 331
COLD WAR RUSSIA 1945 - 1985COLD WAR RUSSIA 1945 - 1985 1945-1953: High Stalinism 1953-1964: Khrushchev The USSR as SuperPower 1964-1982: The Brezhnev Years & the Collapse of the systemI. High StalinismTHE STALINIST SYSTEM HAD SURVIVED!Vas
Mich Tech - CS - 4811
%!PS-Adobe-3.0 %BoundingBox: 0 0 612 792 %Creator: OpenOffice.org 1.0.2 %For: nilufer %CreationDate: Wed Jan 14 09:49:23 2004 %Title: Refinement Planning: Status and Prospectus %LanguageLevel: 2 %DocumentData: Clean7Bit %Pages: 17 0 %PageOrder: Ascen
Long Island U. - CWP - 0507
1. n2 + 2 = n4 2. x4 + 3y2 = x7y2 3.-55 c18 11 c 9= -5c24. 3 3240 6 216 15 3 15 3 3 = = u u u 5. 4096 6. 93(x5)3(y7)3 = 729(x5 3)(y7 3) = 729x15y21 7.1 1 = 35 2438. (5x 2)5 4 = (5x 2)1 = 5(2) 2 = 10 2 = 8 9.15v 9 r 3u
Mich Tech - CS - 4811
%!PS-Adobe-3.0 %BoundingBox: (atend) %Creator: OpenOffice.org 1.1.0 %For: soner %CreationDate: Mon Feb 9 10:10:56 2004 %Title: Refinement Planning: Status and Prospectus %LanguageLevel: 2 %DocumentData: Clean7Bit %Pages: 14 0 %PageOrder: Ascend %EndC
Long Island U. - CWP - 0507
FOIL Terms: 1. Monomial: an expression with one term (ex: 6, x, s2, 3x2y9). 2. Polynomial: an expression that is either a monomial or a sum of monomials. 3. Binomial: a polynomial that has two terms (ex: x + 3, x2 y2, 7 ab). 4. Trinomial: a polynom
Mich Tech - CS - 4811
44.0 4.1 4.2Heuristic Search4.3 4.4 4.5 4.6 Using Heuristics in Games Complexity Issues Epilogue and References ExercisesIntroduction An Algorithm for Heuristic Search Admissibility, Monotonicity, and InformednessAdditional references for the
Long Island U. - CWP - 0507
Answers to FOIL Practice: 1. x2 + 2x + 6x + 12 = x2 + 8x + 12 2. n2 3n + 8n 24 = n2 + 5n 24 3. t2 + 7t 5t 35 = t2 + 2t 35 4. c2 4c 2c + 8 = c2 6c + 8 5. 4x2 + 8x 8x 16 = 4x2 16 6. (x 7)(x 7) = x2 7x 7x + 49 = x2 14x + 49 7. 2a3 3a2
Long Island U. - CWP - 0507
Quadratics 1. A quadratic equation is written in the form ax2 + bx + c = 0. The letters a, b, and c represents all real numbers while x is variable in the equation. 2. To solve a quadratic equation and find the value(s) of the variable we can use the
Mich Tech - CS - 4811
%!PS-Adobe-3.0 %BoundingBox: (atend) %Creator: OpenOffice.org 1.1.0 %For: soner %CreationDate: Mon Feb 16 10:39:07 2004 %Title: Refinement Planning: Status and Prospectus %LanguageLevel: 2 %DocumentData: Clean7Bit %Pages: 18 0 %PageOrder: Ascend %End
Long Island U. - CWP - 0507
Absolute Value Of a number is the distance between its corresponding point on a number line and the origin. Absolute value is never a negative number. Written: | x | Symbols: abs or ABS On the calculator: MATH > move one space to the right >
Long Island U. - CWP - 0507
Operations with Radicals Simplifying Radicals Reducing them to simplest terms. Makes adding and subtracting easier. Not necessary when multiplying or dividing. Adding or subtracting The numbers under the square root must be the same in order to s
Long Island U. - CWP - 0507
Answers to Operations with Radicals #1 6 Simplify each radical. 1. sqrt 4 times sqrt 7 2 sqrt 7 2. sqrt 49 times sqrt 2 7 sqrt 2 3. sqrt 25 times sqrt 7 5 sqrt 7 4. 4 times sqrt 25 sqrt 2 4 times 5 sqrt 2 20 sqrt 2 5. 3 times sqrt 100 sqrt 2 3
Long Island U. - CWP - 0507
1. y = 3x 7 y=x+3 Both equations are set equal to "y" so we can set them equal to each other to solve. 3x 7 = x + 3 Solve for x (subtract x and add 7 to both sides). 2x = 10 Divide by 2. x=5 Now plug back in to one of the equations to solve for "
Mich Tech - CS - 4811
8a8.0 8.1 8.2Reasoning in Uncertain Situations8.3 8.4 8.5 The Stochastic Approach to Uncertainty Epilogue and References ExercisesIntroduction Logic-Based Abductive Inference Abduction: Alternatives to LogicNote: the material for Section 8.1
Long Island U. - CWP - 0507
Factoring Method 1: GCF Example: Factor: 12abc + 24b2cd 1. Find the GCF among the numbers and/or variables in the expression. Remove the GCF. GCF = 12bc 2. Divide each term in the original expression or equation by the GCF. (a + 2bd) 3. Write your fi
Long Island U. - CWP - 0507
Answers to Examples 1. 2(a + b) 3. x(r2 + R2) 5. 7r2s(3rs 2) 7. (y + 8)(y 8) 9. (x2 + 8)(x2 8) 11. (y + 5)(y 1) 13. 2(x2 9) 2(x + 3)(x 3) 14. 3(x2 + 2x + 1) 3(x + 1)(x + 1) 15. 2a(x2 + 3x + 2) 2a(x + 2)(x + 1) 16. d(d2 8d + 16) d(d 4)(d
Mich Tech - CS - 4811
%!PS-Adobe-3.0 %BoundingBox: (atend) %Creator: OpenOffice.org 1.1.0 %For: soner %CreationDate: Wed Mar 31 10:27:06 2004 %Title: Refinement Planning: Status and Prospectus %LanguageLevel: 2 %DocumentData: Clean7Bit %Pages: 14 0 %PageOrder: Ascend %End
Mich Tech - CS - 4811
%!PS-Adobe-3.0 %BoundingBox: (atend) %Creator: OpenOffice.org 1.1.0 %For: soner %CreationDate: Wed Apr 14 05:06:15 2004 %Title: Refinement Planning: Status and Prospectus %LanguageLevel: 2 %DocumentData: Clean7Bit %Pages: 9 0 %PageOrder: Ascend %EndC