Age problems The purpose of this lesson is to show you how to solve Age problems. Problem 1 Kevin is 4 years older than Margaret. Next year Kevin will be 2 times as old as Margaret. How old is Kevin? Solution Denote as Kevin’s present age. Then Margret’s present age is . Next year Kevin will be years old‚ and Margaret will be years old. Since next year Kevin will be 2 times as old as Margaret‚ you can write the equation . Solve this equation by simplifying it‚ step by step: (after
Premium Algebra Family
Department of Career & Professional Development Winter 2014 Final Examination — with answers Student Name Student Number Foundations of Mathematics CMSC 000 Lecturer: G. Brown Date: Time: 17 April 2014 3 hours INSTRUCTIONS: This is a closed book examination. Give your answers in the exam booklet. You are permitted non-electronic translation dictionaries only. Handheld devices capable of storing text are NOT permitted. Calculators are permitted. Only noiseless non-programmable calculators
Premium Algebra Mathematics Addition
C2 + ..... + (x - n) (y - n) (z - n) Cn equals. 1) xyz 2) nxyz 3) - xyz 4) none of these 2. The total number of dissimilar terms in the expansion of (x1 + x2 + .... + xn)3 is 1) n3 2) 3) 4) 3. The coefficient of x6 in the expansion of (1 + x2 - x3)8 is 1) 80 2) 84 3) 88 4) 92 4. The digit at units place in the number 171995 +111995 - 71995 is 1) 0 2) 1 3) 2 4) 3 5. In n is an odd natural number‚ then equals
Premium Equals sign
BINOMIAL THEOREM OBJECTIVES Recognize patterns in binomial expansions. Evaluate a binomial coefficient. Expand a binomial raised to a power. Find a particular term in a binomial expansion Understand the principle of mathematical induction. Prove statements using mathematical induction. Definition: BINOMIAL THEOREM Patterns in Binomial Expansions A number of patterns‚ as follows‚ begin to appear when we write the binomial expansion of a b n‚ where n is a positive integer
Premium
COEFFICIENT OF RESTITUTION The coefficient of restitution (e or COR) is defined as a number that serves as an index of elasticity for colliding bodies (Hall‚ 2012). Essentially‚ it measures the rebound of a ball after a collision with another object‚ like a golf club striking a stationary golf ball. A perfectly elastic ball will have a COR of 1‚ and a perfectly plastic ball will have a COR of 0. In golf‚ the coefficient of restitution comes into play when the club head impacts the ball‚ and
Premium Golf ball Golf Ball
Fortran Exercise #2: Coefficient Of Restitution 1. DEFINITION In this lab‚ we shall be studying the coefficient of restitution of a superball. The coefficient of restitution‚ COR‚ is the ratio of the bounce-back velocity to the original velocity of an object undergoing impact (such as a ball impacting the ground after being dropped from an initial height). Using the principle of the conservation of energy‚ the COR can be used to relate the bounce-back height to the original height of a ball dropped
Premium Electric charge Engineering Ratio
ID: 1302969 Group members: Yuan Li Hong‚ Desmond Wong Practical Lecturer: Mr Zoheir Practical Group: 6 Part 1 Title: To determine the coefficient of static friction between two surfaces. Objectives: 1. To determine the relationship between the mass of load and the length of spring. 2. To determine the coefficient of static friction between two surface. Apparatus and materials: 1. Retort stand 2. Spring 3. Slotted masses 200g with hanger 4. Meter rule
Free Force Friction Mass
Experiment 4A: Determination of a Partition Coefficient for Benzoic Acid in Methylene Chloride and Water Experiment 4B: Solvent Extraction I: Acid-Base Extraction Using the System Benzoic Acid‚ Methylene Chloride‚ and Sodium Bicarbonate Solution Objective A: To accustom participants (students) to general procedures that are used to obtain a partition coefficient at the microscale level. We will gain experience in such practices as the transfer of microliter volumes of solutions with a Pasteur filter
Premium Solvent Sodium bicarbonate Solubility
Determination of Drag Coefficients for Various Sphere Types Adriana Carbon‚ Jessica Lake‚ Jonathan Bessler ChE 341 Experiment 1 March 6‚ 2015 Abstract “A wind tunnel is a specially designed and protected space into which air is drawn‚ or blown‚ by mechanical means in order to achieve a specified speed and predetermined flow pattern at a given instant” . The flow over a specific object can be observed from outside the wind tunnel through transparent windows that enclose the test
Premium Reynolds number Aerodynamics Fluid dynamics
that the sphere experiences a large drop of drag force. The drag coefficient remains relatively constant for most cases. However‚ when a Reynolds number reach about 300‚000‚ and the sphere is the largest one; for this case‚ the drag coefficient drops abruptly. We also found that for the same wind speed‚ the larger sphere has larger Reynolds number. The figure below illustrates the relationship between Reynolds number and drag coefficient. The results obtained from this experiment also tend to show the
Free Fluid dynamics Aerodynamics Reynolds number