Released Assessment Questions, 2015 QUESTIONS
|
|
|
- Evangeline Joseph
- 9 years ago
- Views:
Transcription
1 Relesed Assessmet Questios, 15 QUESTIONS Grde 9 Assessmet of Mthemtis Ademi Red the istrutios elow. Alog with this ooklet, mke sure you hve the Aswer Booklet d the Formul Sheet. You my use y spe i this ook for rough work for multiple-hoie questios oly. The digrms i these ooklets re ot ll drw to sle. ATTENTION: Ulike i the tul ssessmet ooklet, the questios i this ooklet re sorted y strd. There re more multiple-hoie questios i this ooklet th i regulr ooklet. otiue to red the diretios o the over of the Aswer Booklet. rlto Street, Suite 1, Toroto ON M5B M9 Telephoe: We site: 15 Quee s Priter for Otrio
2 Multiple-hoie pge Rememer to write your swers i your Aswer Booklet. 1 A retgle is divided ito 5 equl setios s pitured elow. 3 3 A retgle is show elow with lgeri epressios for its legth d width i etimetres. 3 5 Whih of the followig represets the re of oe setio? 15 d 15 The tle elow otis five epressios. + 5 Whih epressio represets the re of the retgle i m? d p p p p p p p p p p p 3 p 5 p 1 3 d How my of these epressios re equivlet to (p ) 3?
3 Multiple-hoie pge 3 Wht is the solutio to the equtio elow? = 1 = 1 = d = 3 = 3 5 Mi sells T-shirts from ooth t mrket. She pys $3 to ret the ooth. Eh T-shirt osts her $1.5, d she sells them for $7.5 eh d 39 Her gol is to mke $ fter she pys for the ooth d the T-shirts. Wht is the miimum umer of T-shirts Mi must sell to reh her gol? Joe drives for.5 hours t ostt speed d trvels 5 km. Frçois drives t ostt speed etly 1 km/h less th Joe s speed. Whih poit o the grph elow ould represet the diste trvelled d time spet trvellig for Frçois? Diste trvelled (km) Z Y d X W D Diste Trvelled vs. Time Spet Trvellig W X Y Time spet trvellig (h) Z t
4 Multiple-hoie pge 7 Whih of the followig shows iformtio from lier reltio etwee d? The totl ost of yerooks for shool is mde up of $375 set-up fee d $5 for eh yerook purhsed. There is lier reltioship etwee the totl ost d the umer of yerooks purhsed. Wht type of vritio is this reltioship, d wht is its iitil vlue? diret vritio, $375 diret vritio, $5 prtil vritio, $375 d prtil vritio, $ d 5
5 Multiple-hoie pge 5 9 A ompy ships Ds i rtes of equl size. The grph elow shows the reltioship etwee the totl mss of rte d the umer of Ds it otis. Totl mss (kg) Totl Mss vs. Numer of Ds M Numer of Ds Whih of the followig equtios represets the reltioship etwee the totl mss of rte, M, d the umer of Ds it otis,? M = M = + 1 M = d M = A reltioship is represeted y the followig grph. Whih equtio represets this reltioship? = + = + 1 = + d = A lol d pys $5 to reord its first lum d $.15 for eh D mde. The d pys $7 to reord its seod lum d $.1 for eh D mde. How will the grph of the reltioship etwee the totl ost d the umer of Ds mde for the seod lum differ from the grph for the first lum? The grph of the lie for the seod lum will strt lower o the vertil is d e steeper. higher o the vertil is d e steeper. lower o the vertil is d e less steep. d higher o the vertil is d e less steep.
6 Ope-Respose Multiple-hoie pge 19 Whih equtio does ot represet lier reltio? Go to the Aswer Booklet d omplete the seve ope-respose questios efore otiuig with questio Ope-Respose 13 Ope-Respose 1 Ope-Respose 15 Ope-Respose 1 Ope-Respose 17 Ope-Respose y = = 5 + y = 9 d + y 5 = Wht is the slope of the lie represeted y the equtio elow? d 5 = 1y Ope-Respose
7 Multiple-hoie pge 7 1 The ed poits of lie segmet AB re A(3, 1) d B(, k). Wht is the vlue of k if the slope of lie segmet AB is? 1 d 1 Iformtio out three differet reltioships etwee, i dollrs, d t, i hours, is show elow. t (h) ($) t = +.5t 1 d 3 How my of the three reltioships etwee d t hve rte of hge of $ per hour?
8 Multiple-hoie pge 3 A lie psses through the poit (, ) d hs 1 slope of. Whih of the followig grphs represets this lie? y y y 1 d y 1 1 1
9 Multiple-hoie pge 9 The mimum umer of tikets tht e sold for shool ply is 35. The totl profit ered, P, e determied usig the equtio P =.5 1, where is the totl umer of tikets sold. Whih of the followig sttemets is true? The mimum profit is $1. The mimum profit is $1575. The totl profit is $ whe tikets re sold. d The totl profit is $ whe 35 tikets re sold. 5 Two gyms offer fitess lsses. The grph elow shows the totl ost for the first gym. Totl ost ($) 1 1 Totl ost vs. Numer of lsses 1 Numer of lsses For lsses, oth gyms hve the sme totl ost. Whih of the followig ould represet the totl ost for the seod gym? = + = + 15 The totl ost is mde up of memership fee of $ d $1 per lss. d The totl ost is mde up of memership fee of $ d $ per lss.
10 Multiple-hoie pge 1 The tle elow lists the widths of four retgles, eh with re of 7 m. Retgle 1 Width (m) Retgle Retgle 3 1 Retgle 1 Whih retgle hs the smllest perimeter? Retgle 1 Retgle Retgle 3 d Retgle Aordig to the Pythgore theorem, wht is the legth of the third side of the trigle,? m m m d m 15 m 17 m 9 The figure pitured elow is mde up of oe o top of ylider. 7 Slt is sold i pkges i the shpe of retgulr-sed prism tht is ot ue. A ew pkge i the shpe of ue is desiged to oti the sme volume. Whih of the followig is true out the ew pkge? It holds less slt. It holds more slt. It requires less mteril. d It requires more mteril. m m The ylider hs volume of 9 m 3. Wht is the volume of the figure? 1 m 3 1 m 3 1 m 3 d 19 m 3
11 Multiple-hoie pge 11 3 osider the digrm elow. 31 The followig figure is 15-sided regulr polygo. 1 Wht is the vlue of? 1 11 d 119 Wht is the vlue of show i the digrm? 3 d
STUDY COURSE BACHELOR OF BUSINESS ADMINISTRATION (B.A.)
STUDY COURSE BACHELOR OF BUSINESS ADMINISTRATION (B.A. MATHEMATICS (ENGLISH & GERMAN REPETITORIUM 0/06 Prof. Dr. Philipp E. Zeh Mthemtis Prof. Dr. Philipp E. Zeh LITERATURE (GERMAN Böker, F., Formelsmmlug
MATHEMATICS SYLLABUS SECONDARY 7th YEAR
Europe Schools Office of the Secretry-Geerl Pedgogicl developmet Uit Ref.: 2011-01-D-41-e-2 Orig.: DE MATHEMATICS SYLLABUS SECONDARY 7th YEAR Stdrd level 5 period/week course Approved y the Joit Techig
Chapter. Contents: A Constructing decimal numbers
Chpter 9 Deimls Contents: A Construting deiml numers B Representing deiml numers C Deiml urreny D Using numer line E Ordering deimls F Rounding deiml numers G Converting deimls to frtions H Converting
Application: Volume. 6.1 Overture. Cylinders
Applictio: Volume 61 Overture I this chpter we preset other pplictio of the defiite itegrl, this time to fid volumes of certi solids As importt s this prticulr pplictio is, more importt is to recogize
End of term: TEST A. Year 4. Name Class Date. Complete the missing numbers in the sequences below.
End of term: TEST A You will need penil nd ruler. Yer Nme Clss Dte Complete the missing numers in the sequenes elow. 8 30 3 28 2 9 25 00 75 25 2 Put irle round ll of the following shpes whih hve 3 shded.
Summation Notation The sum of the first n terms of a sequence is represented by the summation notation i the index of summation
Lesso 0.: Sequeces d Summtio Nottio Def. of Sequece A ifiite sequece is fuctio whose domi is the set of positive rel itegers (turl umers). The fuctio vlues or terms of the sequece re represeted y, 2, 3,...,....
MATH PLACEMENT REVIEW GUIDE
MATH PLACEMENT REVIEW GUIDE This guie is intene s fous for your review efore tking the plement test. The questions presente here my not e on the plement test. Although si skills lultor is provie for your
SINCLAIR COMMUNITY COLLEGE DAYTON, OHIO DEPARTMENT SYLLABUS FOR COURSE IN MAT 1355 - INTERMEDIATE ALGEBRA I (3 CREDIT HOURS)
SINCLAIR COMMUNITY COLLEGE DAYTON OHIO DEPARTMENT SYLLABUS FOR COURSE IN MAT 1355 - INTERMEDIATE ALGEBRA I (3 CREDIT HOURS) 1. COURSE DESCRIPTION: Ftorig; opertios with polyoils d rtiol expressios; solvig
Practice Test 2. a. 12 kn b. 17 kn c. 13 kn d. 5.0 kn e. 49 kn
Prtie Test 2 1. A highwy urve hs rdius of 0.14 km nd is unnked. A r weighing 12 kn goes round the urve t speed of 24 m/s without slipping. Wht is the mgnitude of the horizontl fore of the rod on the r?
Chapter 04.05 System of Equations
hpter 04.05 System of Equtios After redig th chpter, you should be ble to:. setup simulteous lier equtios i mtrix form d vice-vers,. uderstd the cocept of the iverse of mtrix, 3. kow the differece betwee
Repeated multiplication is represented using exponential notation, for example:
Appedix A: The Lws of Expoets Expoets re short-hd ottio used to represet my fctors multiplied together All of the rules for mipultig expoets my be deduced from the lws of multiplictio d divisio tht you
KEY SKILLS INFORMATION TECHNOLOGY Level 3. Question Paper. 29 January 9 February 2001
KEY SKILLS INFORMATION TECHNOLOGY Level 3 Question Pper 29 Jnury 9 Ferury 2001 WHAT YOU NEED This Question Pper An Answer Booklet Aess to omputer, softwre nd printer You my use ilingul ditionry Do NOT
PROBLEMS 13 - APPLICATIONS OF DERIVATIVES Page 1
PROBLEMS - APPLICATIONS OF DERIVATIVES Pge ( ) Wter seeps out of conicl filter t the constnt rte of 5 cc / sec. When the height of wter level in the cone is 5 cm, find the rte t which the height decreses.
1. Find the zeros Find roots. Set function = 0, factor or use quadratic equation if quadratic, graph to find zeros on calculator
AP Clculus Finl Review Sheet When you see the words. This is wht you think of doing. Find the zeros Find roots. Set function =, fctor or use qudrtic eqution if qudrtic, grph to find zeros on clcultor.
PROBLEMS 05 - ELLIPSE Page 1
PROBLEMS 0 ELLIPSE Pge 1 ( 1 ) The edpoits A d B of AB re o the X d Yis respectivel If AB > 0 > 0 d P divides AB from A i the rtio : the show tht P lies o the ellipse 1 ( ) If the feet of the perpediculrs
Unit 6: Exponents and Radicals
Eponents nd Rdicls -: The Rel Numer Sstem Unit : Eponents nd Rdicls Pure Mth 0 Notes Nturl Numers (N): - counting numers. {,,,,, } Whole Numers (W): - counting numers with 0. {0,,,,,, } Integers (I): -
Ratio and Proportion
Rtio nd Proportion Rtio: The onept of rtio ours frequently nd in wide vriety of wys For exmple: A newspper reports tht the rtio of Repulins to Demorts on ertin Congressionl ommittee is 3 to The student/fulty
α. Figure 1(iii) shows the inertia force and
CHPTER DYNMIC ORCE NLYSIS Whe the ierti fores re osiere i the lysis of the mehism, the lysis is kow s ymi fore lysis. Now pplyig D lemert priiple oe my reue ymi system ito equivlet stti system use the
Chapter. Fractions. Contents: A Representing fractions
Chpter Frtions Contents: A Representing rtions B Frtions o regulr shpes C Equl rtions D Simpliying rtions E Frtions o quntities F Compring rtion sizes G Improper rtions nd mixed numers 08 FRACTIONS (Chpter
Experiment 6: Friction
Experiment 6: Friction In previous lbs we studied Newton s lws in n idel setting, tht is, one where friction nd ir resistnce were ignored. However, from our everydy experience with motion, we know tht
Lesson 2.1 Inductive Reasoning
Lesson.1 Inutive Resoning Nme Perio Dte For Eerises 1 7, use inutive resoning to fin the net two terms in eh sequene. 1. 4, 8, 1, 16,,. 400, 00, 100, 0,,,. 1 8, 7, 1, 4,, 4.,,, 1, 1, 0,,. 60, 180, 10,
Swelling and Mechanical Properties of Hydrogels Composed of. Binary Blends of Inter-linked ph-responsive Microgel Particles
Eletroi Supplemetry Mteril (ESI) for Soft Mtter. This jourl is The Royl Soiety of Chemistry 205 SUPPLEMENTARY INFRMATIN Swellig Mehil Properties of Hyrogels Compose of Biry Bles of Iter-like ph-resposive
50 MATHCOUNTS LECTURES (10) RATIOS, RATES, AND PROPORTIONS
0 MATHCOUNTS LECTURES (0) RATIOS, RATES, AND PROPORTIONS BASIC KNOWLEDGE () RATIOS: Rtios re use to ompre two or more numers For n two numers n ( 0), the rtio is written s : = / Emple : If 4 stuents in
Quick Guide to Lisp Implementation
isp Implementtion Hndout Pge 1 o 10 Quik Guide to isp Implementtion Representtion o si dt strutures isp dt strutures re lled S-epressions. The representtion o n S-epression n e roken into two piees, the
output voltage and are known as non-zero switching states and the remaining two
SPACE ECTOR MODULATION FOR THREE-LEG OLTAGE SOURCE INERTERS.1 THREE-LEG OLTAGE SOURCE INERTER The toology of three-leg voltge soure iverter is show i Fig..1. Beuse of the ostrit tht the iut lies must ever
The remaining two sides of the right triangle are called the legs of the right triangle.
10 MODULE 6. RADICAL EXPRESSIONS 6 Pythgoren Theorem The Pythgoren Theorem An ngle tht mesures 90 degrees is lled right ngle. If one of the ngles of tringle is right ngle, then the tringle is lled right
Two hours UNIVERSITY OF MANCHESTER SCHOOL OF COMPUTER SCIENCE. Date: Friday 16 th May 2008. Time: 14:00 16:00
COMP20212 Two hours UNIVERSITY OF MANCHESTER SCHOOL OF COMPUTER SCIENCE Digitl Design Techniques Dte: Fridy 16 th My 2008 Time: 14:00 16:00 Plese nswer ny THREE Questions from the FOUR questions provided
Binary Representation of Numbers Autar Kaw
Binry Representtion of Numbers Autr Kw After reding this chpter, you should be ble to: 1. convert bse- rel number to its binry representtion,. convert binry number to n equivlent bse- number. In everydy
Calculus Cheat Sheet. except we make f ( x ) arbitrarily large and. Relationship between the limit and one-sided limits
Clulus Chet Sheet Limits Deiitios Preise Deiitio : We sy lim L i or every ε > 0 there is δ > 0 suh tht wheever 0 δ L < ε. < < the Workig Deiitio : We sy lim L i we mke ( ) s lose to L s we wt y tkig suiietly
MATHEMATICS FOR ENGINEERING BASIC ALGEBRA
MATHEMATICS FOR ENGINEERING BASIC ALGEBRA TUTORIAL - INDICES, LOGARITHMS AND FUNCTION This is the oe of series of bsic tutorils i mthemtics imed t begiers or yoe wtig to refresh themselves o fudmetls.
We will begin this chapter with a quick refresher of what an exponent is.
.1 Exoets We will egi this chter with quick refresher of wht exoet is. Recll: So, exoet is how we rereset reeted ultilictio. We wt to tke closer look t the exoet. We will egi with wht the roerties re for
3. If x and y are real numbers, what is the simplified radical form
lgebra II Practice Test Objective:.a. Which is equivalet to 98 94 4 49?. Which epressio is aother way to write 5 4? 5 5 4 4 4 5 4 5. If ad y are real umbers, what is the simplified radical form of 5 y
n Using the formula we get a confidence interval of 80±1.64
9.52 The professor of sttistics oticed tht the rks i his course re orlly distributed. He hs lso oticed tht his orig clss verge is 73% with stdrd devitio of 12% o their fil exs. His fteroo clsses verge
SOLVING QUADRATIC EQUATIONS BY FACTORING
6.6 Solving Qudrti Equtions y Ftoring (6 31) 307 In this setion The Zero Ftor Property Applitions 6.6 SOLVING QUADRATIC EQUATIONS BY FACTORING The tehniques of ftoring n e used to solve equtions involving
A. Description: A simple queueing system is shown in Fig. 16-1. Customers arrive randomly at an average rate of
Queueig Theory INTRODUCTION Queueig theory dels with the study of queues (witig lies). Queues boud i rcticl situtios. The erliest use of queueig theory ws i the desig of telehoe system. Alictios of queueig
LISTENING COMPREHENSION
PORG, přijímí zkoušky 2015 Angličtin B Reg. číslo: Inluded prts: Points (per prt) Points (totl) 1) Listening omprehension 2) Reding 3) Use of English 4) Writing 1 5) Writing 2 There re no extr nswersheets
MATHEMATICS P1 COMMON TEST JUNE 2014 NATIONAL SENIOR CERTIFICATE GRADE 12
Mathematics/P1 1 Jue 014 Commo Test MATHEMATICS P1 COMMON TEST JUNE 014 NATIONAL SENIOR CERTIFICATE GRADE 1 Marks: 15 Time: ½ hours N.B: This questio paper cosists of 7 pages ad 1 iformatio sheet. Please
Section 5-4 Trigonometric Functions
5- Trigonometric Functions Section 5- Trigonometric Functions Definition of the Trigonometric Functions Clcultor Evlution of Trigonometric Functions Definition of the Trigonometric Functions Alternte Form
Use Geometry Expressions to create a more complex locus of points. Find evidence for equivalence using Geometry Expressions.
Lerning Objectives Loci nd Conics Lesson 3: The Ellipse Level: Preclculus Time required: 120 minutes In this lesson, students will generlize their knowledge of the circle to the ellipse. The prmetric nd
Calculus Cheat Sheet. except we make f ( x ) arbitrarily large and. Relationship between the limit and one-sided limits
Clulus Chet Sheet Limits Deiitios Preise Deiitio : We sy lim ( ) L i or every e > 0 there is > 0 suh tht wheever 0 L < e. < < the Workig Deiitio : We sy lim L i we mke ( ) s lose to L s we wt y tkig suiietly
10.6 Applications of Quadratic Equations
10.6 Applictions of Qudrtic Equtions In this section we wnt to look t the pplictions tht qudrtic equtions nd functions hve in the rel world. There re severl stndrd types: problems where the formul is given,
MATH 083 Final Exam Review
MATH 08 Fial Eam Review Completig the problems i this review will greatly prepare you for the fial eam Calculator use is ot required, but you are permitted to use a calculator durig the fial eam period
The Cat in the Hat. by Dr. Seuss. A a. B b. A a. Rich Vocabulary. Learning Ab Rhyming
MINI-LESSON IN TION The t in the Ht y Dr. Seuss Rih Voulry tme dj. esy to hndle (not wild) LERNING Lerning Rhyming OUT Words I know it is wet nd the sun is not sunny. ut we n hve Lots of good fun tht is
Reasoning to Solve Equations and Inequalities
Lesson4 Resoning to Solve Equtions nd Inequlities In erlier work in this unit, you modeled situtions with severl vriles nd equtions. For exmple, suppose you were given usiness plns for concert showing
Words Symbols Diagram. abcde. a + b + c + d + e
Logi Gtes nd Properties We will e using logil opertions to uild mhines tht n do rithmeti lultions. It s useful to think of these opertions s si omponents tht n e hooked together into omplex networks. To
Vectors 2. 1. Recap of vectors
Vectors 2. Recp of vectors Vectors re directed line segments - they cn be represented in component form or by direction nd mgnitude. We cn use trigonometry nd Pythgors theorem to switch between the forms
Homework 3 Solutions
CS 341: Foundtions of Computer Science II Prof. Mrvin Nkym Homework 3 Solutions 1. Give NFAs with the specified numer of sttes recognizing ech of the following lnguges. In ll cses, the lphet is Σ = {,1}.
1. Definition, Basic concepts, Types 2. Addition and Subtraction of Matrices 3. Scalar Multiplication 4. Assignment and answer key 5.
. Definition, Bsi onepts, Types. Addition nd Sutrtion of Mtries. Slr Multiplition. Assignment nd nswer key. Mtrix Multiplition. Assignment nd nswer key. Determinnt x x (digonl, minors, properties) summry
Bayesian Updating with Continuous Priors Class 13, 18.05, Spring 2014 Jeremy Orloff and Jonathan Bloom
Byesin Updting with Continuous Priors Clss 3, 8.05, Spring 04 Jeremy Orloff nd Jonthn Bloom Lerning Gols. Understnd prmeterized fmily of distriutions s representing continuous rnge of hypotheses for the
The Pythagorean Theorem
The Pythgoren Theorem Pythgors ws Greek mthemtiin nd philosopher, orn on the islnd of Smos (. 58 BC). He founded numer of shools, one in prtiulr in town in southern Itly lled Crotone, whose memers eventully
Graphs on Logarithmic and Semilogarithmic Paper
0CH_PHClter_TMSETE_ 3//00 :3 PM Pge Grphs on Logrithmic nd Semilogrithmic Pper OBJECTIVES When ou hve completed this chpter, ou should be ble to: Mke grphs on logrithmic nd semilogrithmic pper. Grph empiricl
Chapter 13 Volumetric analysis (acid base titrations)
Chpter 1 Volumetric lysis (cid se titrtios) Ope the tp d ru out some of the liquid util the tp coectio is full of cid d o ir remis (ir ules would led to iccurte result s they will proly dislodge durig
AAPT UNITED STATES PHYSICS TEAM AIP 2010
2010 F = m Exm 1 AAPT UNITED STATES PHYSICS TEAM AIP 2010 Enti non multiplicnd sunt preter necessittem 2010 F = m Contest 25 QUESTIONS - 75 MINUTES INSTRUCTIONS DO NOT OPEN THIS TEST UNTIL YOU ARE TOLD
Econ 4721 Money and Banking Problem Set 2 Answer Key
Econ 472 Money nd Bnking Problem Set 2 Answer Key Problem (35 points) Consider n overlpping genertions model in which consumers live for two periods. The number of people born in ech genertion grows in
Answer, Key Homework 10 David McIntyre 1
Answer, Key Homework 10 Dvid McIntyre 1 This print-out should hve 22 questions, check tht it is complete. Multiple-choice questions my continue on the next column or pge: find ll choices efore mking your
SOLVING EQUATIONS BY FACTORING
316 (5-60) Chpter 5 Exponents nd Polynomils 5.9 SOLVING EQUATIONS BY FACTORING In this setion The Zero Ftor Property Applitions helpful hint Note tht the zero ftor property is our seond exmple of getting
m n Use technology to discover the rules for forms such as a a, various integer values of m and n and a fixed integer value a.
TIth.co Alger Expoet Rules ID: 988 Tie required 25 iutes Activity Overview This ctivity llows studets to work idepedetly to discover rules for workig with expoets, such s Multiplictio d Divisio of Like
P.3 Polynomials and Factoring. P.3 an 1. Polynomial STUDY TIP. Example 1 Writing Polynomials in Standard Form. What you should learn
33337_0P03.qp 2/27/06 24 9:3 AM Chpter P Pge 24 Prerequisites P.3 Polynomils nd Fctoring Wht you should lern Polynomils An lgeric epression is collection of vriles nd rel numers. The most common type of
Repeating Decimals are decimal numbers that have number(s) after the decimal point that repeat in a pattern.
5.5 Fractios ad Decimals Steps for Chagig a Fractio to a Decimal. Simplify the fractio, if possible. 2. Divide the umerator by the deomiator. d d Repeatig Decimals Repeatig Decimals are decimal umbers
SOLID MECHANICS DYNAMICS TUTORIAL DAMPED VIBRATIONS. On completion of this tutorial you should be able to do the following.
SOLID MECHANICS DYNAMICS TUTORIAL DAMPED VIBRATIONS This work overs elemets of the syllabus for the Egieerig Couil Eam D5 Dyamis of Mehaial Systems, C05 Mehaial ad Strutural Egieerig ad the Edeel HNC/D
Name: Period GL SSS~ Dates, assignments, and quizzes subject to change without advance notice. Monday Tuesday Block Day Friday
Ne: Period GL UNIT 5: SIMILRITY I c defie, idetify d illustrte te followig ters: Siilr Cross products Scle Fctor Siilr Polygos Siilrity Rtio Idirect esureet Rtio Siilrity Stteet ~ Proportio Geoetric Me
Present and future value formulae for uneven cash flow Based on performance of a Business
Advces i Mgemet & Applied Ecoomics, vol., o., 20, 93-09 ISSN: 792-7544 (prit versio), 792-7552 (olie) Itertiol Scietific Press, 20 Preset d future vlue formule for ueve csh flow Bsed o performce of Busiess
Radius of the Earth - Radii Used in Geodesy James R. Clynch Naval Postgraduate School, 2002
dius of the Erth - dii Used in Geodesy Jmes. Clynh vl Postgrdute Shool, 00 I. Three dii of Erth nd Their Use There re three rdii tht ome into use in geodesy. These re funtion of ltitude in the ellipsoidl
Angles 2.1. Exercise 2.1... Find the size of the lettered angles. Give reasons for your answers. a) b) c) Example
2.1 Angles Reognise lternte n orresponing ngles Key wors prllel lternte orresponing vertilly opposite Rememer, prllel lines re stright lines whih never meet or ross. The rrows show tht the lines re prllel
How To Solve The Homewor Problem Beautifully
Egieerig 33 eautiful Homewor et 3 of 7 Kuszmar roblem.5.5 large departmet store sells sport shirts i three sizes small, medium, ad large, three patters plaid, prit, ad stripe, ad two sleeve legths log
How To Find The Re Of Tringle
Heron s Formul for Tringulr Are y Christy Willims, Crystl Holom, nd Kyl Gifford Heron of Alexndri Physiist, mthemtiin, nd engineer Tught t the museum in Alexndri Interests were more prtil (mehnis, engineering,
MATHEMATICAL INDUCTION
MATHEMATICAL INDUCTION. Itroductio Mthemtics distiguishes itself from the other scieces i tht it is built upo set of xioms d defiitios, o which ll subsequet theorems rely. All theorems c be derived, or
NQF Level: 2 US No: 7480
NQF Level: 2 US No: 7480 Assessment Guide Primry Agriculture Rtionl nd irrtionl numers nd numer systems Assessor:.......................................... Workplce / Compny:.................................
NATIONAL SENIOR CERTIFICATE GRADE 12
NATIONAL SENIOR CERTIFICATE GRADE MATHEMATICS P EXEMPLAR 04 MARKS: 50 TIME: 3 hours This questio paper cosists of 8 pages ad iformatio sheet. Please tur over Mathematics/P DBE/04 NSC Grade Eemplar INSTRUCTIONS
The Casino Experience. Let us entertain you
The Csio Expeiee Let us eteti you The Csio Expeiee If you e lookig fo get ight out, Csio Expeiee is just fo you. 10 The Stight Flush Expeiee 25 pe peso This is get itodutio to gmig tht sves you moey Kik
Sequences and Series
Secto 9. Sequeces d Seres You c thk of sequece s fucto whose dom s the set of postve tegers. f ( ), f (), f (),... f ( ),... Defto of Sequece A fte sequece s fucto whose dom s the set of postve tegers.
Math 113 HW #11 Solutions
Math 3 HW # Solutios 5. 4. (a) Estimate the area uder the graph of f(x) = x from x = to x = 4 usig four approximatig rectagles ad right edpoits. Sketch the graph ad the rectagles. Is your estimate a uderestimate
One Minute To Learn Programming: Finite Automata
Gret Theoreticl Ides In Computer Science Steven Rudich CS 15-251 Spring 2005 Lecture 9 Fe 8 2005 Crnegie Mellon University One Minute To Lern Progrmming: Finite Automt Let me tech you progrmming lnguge
Using your card: goods (8 in person, I by phone, I by computer), pay for services (A in person, E by phone.
ELECTRONIC FUND TRANSFERS YOUR RIGHTS AND RESPONSIBILITIES The Elecoic Fud Trsfers we re cpble of hdlig for cosumers re idicted below, some of which my ot pply your ccout. Some of these my ot be vilble
I calculate the unemployment rate as (In Labor Force Employed)/In Labor Force
Introduction to the Prctice of Sttistics Fifth Edition Moore, McCbe Section 4.5 Homework Answers to 98, 99, 100,102, 103,105, 107, 109,110, 111, 112, 113 Working. In the lnguge of government sttistics,
Math C067 Sampling Distributions
Math C067 Samplig Distributios Sample Mea ad Sample Proportio Richard Beigel Some time betwee April 16, 2007 ad April 16, 2007 Examples of Samplig A pollster may try to estimate the proportio of voters
UNCORRECTED SAMPLE PAGES
6 Chpter Length, re, surfe re n volume Wht you will lern 6A Length n perimeter 6B Cirumferene of irles n perimeter of setors 6C Are of qurilterls n tringles 6D Are of irles 6E Perimeter n re of omposite
MATHEMATICS (860) CLASS XI
MATHEMATICS (860) Aims:. To ele didtes to quire kowledge d to develop uderstdig of the terms, oepts, symols, defiitios, priiples, proesses d formule of Mthemtis t the Seior Seodry stge.. To develop the
Enterprise Digital Signage Create a New Sign
Enterprise Digitl Signge Crete New Sign Intended Audiene: Content dministrtors of Enterprise Digitl Signge inluding stff with remote ess to sign.pitt.edu nd the Content Mnger softwre pplition for their
Exponential and Logarithmic Functions
Nme Chpter Eponentil nd Logrithmic Functions Section. Eponentil Functions nd Their Grphs Objective: In this lesson ou lerned how to recognize, evlute, nd grph eponentil functions. Importnt Vocbulr Define
Cypress Creek High School IB Physics SL/AP Physics B 2012 2013 MP2 Test 1 Newton s Laws. Name: SOLUTIONS Date: Period:
Nme: SOLUTIONS Dte: Period: Directions: Solve ny 5 problems. You my ttempt dditionl problems for extr credit. 1. Two blocks re sliding to the right cross horizontl surfce, s the drwing shows. In Cse A
How to set up your GMC Online account
How to set up your GMC Olie accout Mai title Itroductio GMC Olie is a secure part of our website that allows you to maage your registratio with us. Over 100,000 doctors already use GMC Olie. We wat every
How To Write A Power Flow Model For A Power Plant
tertiol Jourl of Adves i Egieerig & Teholog, Mrh 2012. JAET N: 2231-1963 POWER FLOW ANALY OF THREE PHAE UNBALANCED RADAL DTRBUTON YTEM Puthiredd Umpthi Redd 1, irigiri ivgru 2, Prdhmm gmeswrru 3 1 Deprtmet
Measures of Spread and Boxplots Discrete Math, Section 9.4
Measures of Spread ad Boxplots Discrete Math, Sectio 9.4 We start with a example: Example 1: Comparig Mea ad Media Compute the mea ad media of each data set: S 1 = {4, 6, 8, 10, 1, 14, 16} S = {4, 7, 9,
Modified Line Search Method for Global Optimization
Modified Lie Search Method for Global Optimizatio Cria Grosa ad Ajith Abraham Ceter of Excellece for Quatifiable Quality of Service Norwegia Uiversity of Sciece ad Techology Trodheim, Norway {cria, ajith}@q2s.tu.o
Laws of Exponents Learning Strategies
Laws of Epoets Learig Strategies What should studets be able to do withi this iteractive? Studets should be able to uderstad ad use of the laws of epoets. Studets should be able to simplify epressios that
CHAPTER 3 THE TIME VALUE OF MONEY
CHAPTER 3 THE TIME VALUE OF MONEY OVERVIEW A dollar i the had today is worth more tha a dollar to be received i the future because, if you had it ow, you could ivest that dollar ad ear iterest. Of all
Polynomial Functions. Polynomial functions in one variable can be written in expanded form as ( )
Polynomil Functions Polynomil functions in one vrible cn be written in expnded form s n n 1 n 2 2 f x = x + x + x + + x + x+ n n 1 n 2 2 1 0 Exmples of polynomils in expnded form re nd 3 8 7 4 = 5 4 +
BEC TESTS Gli ascolti sono disponibili all indirizzo www.loescher.it/business
Gli solti sono disponiili ll indirizzo www.loesher.it/usiness SURNAME AND NAME CLASS DATE BEC TEST Prt one Questions 1-8 For questions 1-8 you will her eight short reordings. For eh question, hoose one
FOUNDATIONS OF MATHEMATICS AND PRE-CALCULUS GRADE 10
FOUNDATIONS OF MATHEMATICS AND PRE-CALCULUS GRADE 10 [C] Commuicatio Measuremet A1. Solve problems that ivolve liear measuremet, usig: SI ad imperial uits of measure estimatio strategies measuremet strategies.
Mathematics. Vectors. hsn.uk.net. Higher. Contents. Vectors 128 HSN23100
hsn.uk.net Higher Mthemtics UNIT 3 OUTCOME 1 Vectors Contents Vectors 18 1 Vectors nd Sclrs 18 Components 18 3 Mgnitude 130 4 Equl Vectors 131 5 Addition nd Subtrction of Vectors 13 6 Multipliction by
www.mathsbox.org.uk e.g. f(x) = x domain x 0 (cannot find the square root of negative values)
www.mthsbo.org.uk CORE SUMMARY NOTES Functions A function is rule which genertes ectl ONE OUTPUT for EVERY INPUT. To be defined full the function hs RULE tells ou how to clculte the output from the input
Module 5. Three-phase AC Circuits. Version 2 EE IIT, Kharagpur
Module 5 Three-hse A iruits Version EE IIT, Khrgur esson 8 Three-hse Blned Suly Version EE IIT, Khrgur In the module, ontining six lessons (-7), the study of iruits, onsisting of the liner elements resistne,
Maximum area of polygon
Mimum re of polygon Suppose I give you n stiks. They might e of ifferent lengths, or the sme length, or some the sme s others, et. Now there re lots of polygons you n form with those stiks. Your jo is
AP Calculus AB 2006 Scoring Guidelines Form B
AP Calculus AB 6 Scorig Guidelies Form B The College Board: Coectig Studets to College Success The College Board is a ot-for-profit membership associatio whose missio is to coect studets to college success
Descriptive Statistics
Descriptive Statistics We leared to describe data sets graphically. We ca also describe a data set umerically. Measures of Locatio Defiitio The sample mea is the arithmetic average of values. We deote
