Algebra
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...Algebra Answer Part Expand along the first row, In terms of symbol the cofactor is, Now, we put all the quantities for the entries. For the cofactors we will put the minor and a (“+1” or a “-1”) which depends on sign required for each minor. This signs will be by going to our “sign matrix” above beginning at the 1st entry in the particular row or column we are expanding along (Larson, & Falvo 110). After that as we move on that column or row we will put the sign required in that case. Part 2 Expand along the first column, In this case symbol form of the cofactor is, Here the signs of “a” are similar to the above case the first row and column have identical signs; Part 3 In this case we... ...
Algebra
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...Algebra and Geometry Assignment: Give a detailed of how linear transformations can be used to study rotated conic sections. Your essay should include: 1) A description of rotations through an angle about the origin. Each of the conic sections which are centered at the origin can be described by the equation Ax2 + Cy2 + Dx + Ey + F = 0 This curve can be rotated through an angle about the origin by using the rotation equations: x = x’ cos - y’ sin y = x’ sin + y’ cos so that the transformation matrix is: R = cos - sin sin cos These values for x and y are substituted into the equation of the curve in order to obtain a new equation for the curve in terms... Part I: Linear...
Algebra
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...algebra, an n-by-n (square) matrix A is called invertible, non-singular, or regular. If an n-by-n matrix exists the matrix must be square. 6) A is expressible as a product of elementary matrices, because every elementary matrices are invertible and its inverse is also an elementary matrices. A square matrix is only invertible if it can be written as a product of an elementary matrix. 7) A family of vectors is linearly independent if none of them can be written as a linear combination of finitely many other vectors in the collection. An alternative method uses the fact that n... Given: There are a number of ments that are equivalent to the following: The n x n matrix A is invertible. Four equivalent...
Algebra
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...Algebraic Expressions: use the birth or the birth highlighted in yellow Write your birth or the birth someone in your family as mm/dd/yy. (Example: March 13, 1981 is written 3/13/81, and November 7, 1967 is written 11/7/67). 11/2/82 Now let a = the one- or two-digit month number, b = the negative of the one- or two-digit day number, and c = the two-digit year number. (Our example: a = 3, b = -13, and c = 81 or a = 11, b = -7, and c = 67) a = 11, b = 2, c = 82 2. Use the following algebraic expressions for parts c-d of the discussion: 113 – (-2)3 1331 – (-8) 1339 (a-b) (a²+ab+b²) (11 – (-2))(112 + (11*-2) + (-2)2) (11+2)(121 – 22 + 4) (13)(103) 1339 3. Evaluate the three... Discussion Evaluating...
Linear algebra
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...Algebra in Projecting the Success of a Web Based Business Purposes: For many people, students and non-students alike, the essence of Linear Algebra is not much appreciated with the knowledge that this subject is only for those who are specializing in mathematical studies. On the contrary, mathematics is an everyday experience for us though usually not greatly observable. It is the goal of this research to let linear algebra be employed in the famous world of business, where else but the use of internet. This would be an interesting field to apply the study of linear algebra as it gives a twist to the misconstrued perception that linear algebra is just... Full Proposed Research Topic: The Role of Linear...
College Algebra
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...algebra we find measurements using lines. The best approximation for inscribing the polygon was once... Assignment B of Object Circumference (c) Diameter (d) Circumference divided by diameter (c/d) Large coffee mug 12.21 in 3.50 in 3.48 in Sports bottle 10.31 in 3.00 in 3.44 in Regular drinking glass 9.81 in 2.50 in 3.92 in The value of pi, 3.14, is a mathematical constant in which the circle is defined. The value of pi is found through calculation of the circumference divided by the diameter. The size of the object does not vary because the ratio between the circumference and the diameter is always constant to 3.14. When manufactures make a glass, a coffee mug, etc., the ratio is kept the same due to ...
LINEAR ALGEBRA
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...ALGEBRA QUESTIONS Question 7 marks] é1 2 ê 5 b ù ú é1 2 0 3 ù ê ú The reduced row echelon form of A = ê4 a 17 - 22ú is equal to R = ê0 0 1 - 2ú . ëê row3 úû êë0 0 0 0 úû (a) What can you say about row 3 of A? Give an example of a possible third row for A. This is a null row representation that the results become zero due to the figures of R which are equivalent to zero. (b) Determine the values of a and b. {1, 2, 5, 1} {b} = {1, 2, 0, 3} {4, 1, 17, -22} {a} = {0, 0, 1, -2} B=1 A =0 (c) Determine the solution of the homogeneous system of equations Rx = 0 in parametric vector form. Rx = 0 Row 3 – {0, 0, 0) (d) What is the dimension of the column space of A? Do...
College Algebra
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...Algebra Affiliation Algebra Questions chosen are question 2, 4 and 5 Question 2 The degree of the function x2(x-2)3 canbe determined by first expanding the function and then the terms are put in decreasing order of their exponential. . The function is then expanded as shown below. The expansion of (x-2)3 is first done and the result multiplied by x2 x2(x-2)3 x2(x3- 6x2 + 12x - 8) x5- 6x4 + 12x3 - 8 x2 The coefficients of the function are not necessary for the determination of the degree of the polynomials, therefore they are ignored and the equation rewritten as: x5- x4 + x3 - x2 The power of the largest term is then identified. For this function, the...
College Algebra
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...algebra we find measurements using lines. The best approximation for inscribing the polygon was once... ?Assignment B of Object Circumference (c) Diameter (d) Circumference divided by diameter (c/d) Large coffee mug 12.21 in 3.50 in 3.48 in Sports bottle 10.31 in 3.00 in 3.44 in Regular drinking glass 9.81 in 2.50 in 3.92 in The value of pi, 3.14, is a mathematical constant in which the circle is defined. The value of pi is found through calculation of the circumference divided by the diameter. The size of the object does not vary because the ratio between the circumference and the diameter is always constant to 3.14. When manufactures make a glass, a coffee mug, etc., the ratio is kept the same due to...
Algebra Math Problem
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...algebraic expressions in which variables are made to represent unknown amounts of objects either count or non-count by nature. I appreciate the fact that in Algebra, one is able to verify the existence of a solution by using methods of elimination and substitution wherein one method can be a means to countercheck the other which ought to show the same results. It is quite interesting that equations may... Final Project The system of linear equations may be applied to mixture problems in which itemsof various types or grades are sold at distinct values. This is particularly useful for starting entrepreneurs who consider establishing business on a small-scale with simple calculations carried out....
Algebra week 7
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...Algebra Question 12 In a graph of y against x where x includes the variables that form an equation of y to x, an increase or decrease in x values result into a considerable change in the upward or downward opening of the graph. The graph opens up when x gets more and more positive (Knapp, 20). That is, a positive increase in x values results into positive increase in the y value thus makes the graph to move upwards (open up). On the other hand, when x values get more and more negative the graph opens down. That is, as the values of the variable x get more and more negative, it consequently results in the reduction of the y value. Thus this leads to the graph to move downwards open down... 20 June...
Algebra-Unit 1
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...algebra used to compute the solution to any equations.          o the formula with substituted values.          o the final calculated answer with units. MTH212 Unit 1 Individual Project - B 1. Solve . You must show all work to receive full credit. Show work here: Final answer: x = 6 2. Solve. You must show all work to receive full credit. Show work here: Final answer: 3. A real estate broker’s base annual salary is $18,000. She earns 3... Deliverable Length: 2 – 5 pages Instructions:  Type your answers next to the yellow text.          o For noninteger answers, please write your answer as a fraction rather than a decimal.  To show your work, you will need to include          o the alg...
Algebra for Business
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...Algebra for Business: Types of systems:  Inconsistent or Dependent Corse Algebra for Business: Types of systems:  Inconsistent or Dependent Systems of equation with one or two variables are very helpful in solving every day problems. In business these systems can be used to solve complex mathematical function with simple steps and algebra. On the other hand the graphical representation allows viewing the future values. Consider two equations with two variables: x and y, 5x + y = 13 4x + 4y = 20 We can easily solve the system of equations and attain the results in the pint form so that the two lines collide at a point in graph. In general...
Algebra Week 11
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...Algebra. USA: Book-mart Press.... Mixed fractions are fractions that can include a numerator, denominator and an extra number. In this case, the simplification of a mixed fraction is done by converting it into an improper fraction and then converting into integers. To simplify 16 1/2, multiply 16 and 2 and the result will be 32, which is summed up with 1 which gives 33/2. This improper fraction can be further simplified by finding the quotient of the equation, which is a number with a decimal point, 16.5 (Szecsei, 2006) Simplifying the square root of 100 will be equal to finding the number which when multiplied by itself give 100. The first step in simplification is writing the statement in the basic for...
COLLEGE ALGEBRA-DISCUSSION BOARD
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...Algebra-Discussion Board The Euler’s number e is one of the most important constants in mathematics. The constant is approximately 2.71828182845…; however, the number has been estimated to a fairy high degree of accuracy. Being a rational number implies that e has indeterminate decimals. The Euler’s numbers servers as the base to the natural logarithm. The Euler’s constant can be derived through several methods and each of these methods depends on the intended use. The first method is based on the infinite series theory. From this method e is the limit of (1 + 1/n) {n± 0} or (1 + 1/n!) as n tends to infinity. Therefore e = 1 + 1/1 + ½ + 1/3 + ¼ …. Alternatively, e =1 + 1...
ALGEBRA
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...1. You are planning to spend no less than $6,000 and no more than $10,000 on your landscaping project. a) Write an inequality that demonstrates how much money you will be willing to spend on the project. Ans. 6000 x 10000 b) Suppose you want to cover the backyard with decorative rock and plant some trees as the first phase of the project. You need 30 tons of rock to cover the area. If each ton cost $60 and each tree is $84, what is the maximum number of trees you can buy with a budget for rock and trees of $2,500 Write an inequality that illustrates the problem and solve. Express your answer as an inequality and explain how you arrived at your answer. Ans. 8 60r + 84t 2500 where r... You are...
Matrix Analysis Linear Algebra SVD
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...Algebra SVD 1a Compute the residue matrices Rj,k associated with λj. Our aimis to show that it is almost diagonal. We recall that Rn is a circulant matrix. This is approximated by circulant matrices R (z) and can be written as the sum of two circulant matrices, plus some error that will be bind. To define two circulant matrices Rj,1 and Dj,1, we observe the upper right upper side of the circulant matrix. It is recalled that often, we may transform the data because it may be easier to analyze the transformed data. The same applies here. 1b.) A=∑j=1h(λjPj+Dj) Let A be a self-adjoint matrix, A = A* with spectral decomposition above. Then (zI-A)-1=∑λ\ σ(A). (1/z-λ)Pλ, for all z... Matrix Analysis Linear...
3 lesson plans for algebra
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...Algebra Lesson Plans by JT Thomas 6-21-2006 Lesson Multiplicative Inverses Introduction The purpose of this lesson is to introduce tothe concept of multiplicative inverses. By using the fact that 0 doesnt have a multiplicative inverse, it is shown that division by 0 is not defined. 2.Introductory Examples To find a multiplicative inverse of a number x, we must find the number that when multiplied by x, equals 1: x * (multiplicative inverse) = 1 This number is always the reciprocal 1/x, since after canceling x in the numerator and denominator we are left with 1 multiplied by 1: x * (1/x) = 1 * 1 = 1 For instance, to find the multiplicative inverse of 6, we just...
Applications of Linear Algebra to Electrical Engineering
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...Algebra to Electrical Engineering Engineering is heavily influenced bythe mathematics. Engineering problems can be solved by utilizing the principles of mathematics. Calculus, algebra, etc are the branches, which are utilized in the Engineering problems. We can say that the practical application of the mathematics can be truly seen in the engineering problems. The examples can be seen when derivation and integration are utilized to resolve the electronic and electrical circuits. Linear Algebra is also utilized to solve the problems. Matrices are used to find the simplest method of solving complex electrical circuits. A mesh is loop that has a single current flow path... No: Applications of Linear...
Seventh Grade Algebra and Learning through Experience
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...Algebra and Learning through Experience Seventh Grade Algebra and Learning through Experience Introduction The learning outcomes of seventh graders who are given the opportunity to learn algebra are defined by the previous knowledge that each individual has about mathematics. Through understanding Piaget’s theories on learning, it is clear that in order to progress into learning how to do algebra, a student must be able to draw upon what they have learned in the past and how they learned to process the logic of what is being taught. In addition, it is clear that through teaching with the experience of doing, a student will learn at a higher... ?Running Head: LEARNING THEORY Seventh Grade Seventh Grade...
Digital Signal Processing and Linear Algebra
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...algebra in Digital signal processing There are various scenarios in which linear algebra isused in solving real – life problems. The applications ranges from different fields which include net flow, economics and chemistry. Linear algebra has been extensively used in signal processing both theoretically and algorithmically. The interaction between linear algebra and and digital signal processing has resulted in development of new algorithms in digital processing. This is basically focused in development of linear algebra tools which include things like recursive least squares, total least squares, eigenvalues, projections, orthogonality among others. To add on this, the use... Application of linear...
Everyday life with Algebra in the Real World
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...Algebra in the Real World Table of Contents page…………………………………………………………………………………………………..1 Table of contents………………………………………………………………………………………….2 Algebra applied to science………………………………………………………………………………3 Algebraic concepts to solve everyday problems………………………………………………………3  Algebra applied to personal life………………………………………………………………………...4 Surprising finding about how algebra affects personal life…………………………………………...5 References………………………………………………………………………………………………...6 Algebra applied to science In science, algebraic methods of computation are applied in the study of biological problems, particularly in the study of genes, proteomics, genomics and analysis of molecular structures... ? Everyday Life with Algebra...
DIOPHANTUS A KEY FIGURE IN THE HISTORY OF ALGEBRA
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...Algebra Algebra The history of algebra can be raced back to the ancient Egypt and Babylon where people learned the basics of solving various equations that include the linear equations, the quadratic equations and the indeterminate equations. The oldest mathematical documents that are found in ancient Egypt can be dated back to 1900 B.C. quadratic equations today are basically solved logically using the same procedures/methods that the ancient Babylonians used (The Brussels Journal, n.d). Diophantus Diophantus of Alexandria (also known as the father of algebra) was born in 210 and died in 290. He was a Greek mathematician who was born, raised and lived... Diophantus A Key Figure In the History of Algebra ...
How College Algebra is used in the Nursing Field
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...Algebra is used in the Nursing Field al Affiliation How College Algebra is used in the Nursing Field Algebra is a branch of mathematics that deals with vector space, infinite dimensions and general linear mappings between given spaces. All this is achieved through the system of linear equations that contain a number of unknown variables; mostly represented in the form of vectors and matrices. Thus, the techniques obtain from linear algebra are used in various fields. These fields include engineering, nursing, natural sciences, social sciences, computer animation, physics, computer science and analytical geometry. Across the globe, the numbers provide lots information to be used... by the...
Algebra Project
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...Golden Ratio Golden Ratio de d by Φ is also known as the Divine Proportion, Golden Mean, and Golden Section and is a Pisot-Vijayaraghavan Constant. It has surprising connections with Continued Fractions and the Euclidean Algorithm for computing the Greatest Common Divisor of two Integers. (Weisstein 742-744) According to Knott Golden Ratio had been of interest to earlier Greek mathematicians, especially Pythagoras (580BC - 500BC). In addition, in book VI “The Thirteen Books of the Elements (Euclid, Vol. 2--Books III-IX)”, Proposition 30, Euclid (about 300BC) shows how to divide a line in mean and extreme ratio that we would call "finding the golden section G point on the line". Leonardo... Ratio Golden...
Linear algebra
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...algebraic over V. So let f(x) F[x] such that f 0. In this case, we make the assumption that f is monic irreducible. Hence, = xn + an-1xn-1 + _ _ _ + a1x + a0 such that a0 6= 0. Then 1 = ) Since V is a ring containing F the term at the far right will belong to V thus will be invertible V. V will inherit the different qualities in the field since it is contained in field K. Response to question 2. Proof In this case, (p) I. Considering Z[x]/(p) Z/pZ[x]. When Z/pZ is a field, it will be given that Z/pZ[x] would be a PID. If I is the image of I in the canonical projection of Z[x] into Z[x]=(p). Then I would principally be obtained... Response to question Proof Let K. Because K/V is finite, K would be...
Evaluation of the Effectiveness of the Different Methods of Teaching Algebra
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...ALGEBRA (Your School's , the school where I work as a teacher, has an enrichment program to teach algebra to students weak in this area. Three teaching methods have been identified that could be used to improve students' skills in this area. The first is the traditional classroom teaching method (A), the second method incorporates visual tools and models such as graphic calculators (B), and the third method incorporates games such as chess (C). I conducted an experiment designed to evaluate the effectiveness of the above three different methods of teaching algebra. Participating students were randomly assigned to one... of the three treatments. An enrichment lesson was conducted with...
Intermediate Algebra
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...Part I Question A total of 357 tickets were sold for the school play. The number tickets sold was two times the number of adult ticketssold. How many adult tickets were sold? Solution: Let the number of adult tickets be x and number of student tickets be y and the total number of tickets be S Given: Total Number of Tickets S = 357 Number of Student Tickets = 2 times the Number of Adult Tickets i.e. y = 2x S = x + y x + y = 357 Substituting y = 2x in the above equation to find the number of adult tickets sold, x + 2x = 357 3x = 357 x = 119 The number of adult tickets sold is 119. Question 2: A small publishing company is planning to publish... I Question A...
Discussion board - College Algebra
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...Client’s 23 April Variation equation has several everyday uses but not many people are aware of this. This paper will shed light upon some of the most important uses of Variation equation in everyday life. Biologists and ecologists can use Variation equation to calculate how the population of a particular specie changes within a year and several important assumptions can be based on the results. Variation equation can also be used effectively to forecast weather and plane crashes can be avoided should turbulent weather be predicted beforehand. Engineers who are trying to design and invent new machines can use Variation equation effectively to make their job a whole lot easier. Car... 23 April...
The relationship between aptitude test and success in an algebra course.
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...algebra course acting as dependent variable. This means that the relationship will be determined on what the effect of aptitude test will be on success in algebra course. To successfully design this study, a number of methodologies will be followed. The first... DESIGNING A CORRELATIONAL RESEARCH Designing a correlational research Different research designs are used to achieve a number of purposes. One such design is the correlational research design. Correlational research is generally a type of quantitative research, which is performed with the aim of undertaking empirical investigations into social phenomena with the use of statistical and mathematical procedures (Meredith, Gall and Borg, 2007). In...
Algebra High School Essay
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...MTH/106 Week 4 Ch. 2 Cumulative Test You should have completed all the assigned homework before taking this test. You just need to provide the correct answer for each problem. This quiz will be graded based on the corrected answers for a total of 100 points. Please double check your answers before you submit it. Good luck! 1. Solve. 6x - 0.37 = 5(x - 0.28) A) -0.69 B) -1.24 C) -0.89 D) -1.03 2. Identify the base in the statment "50% of 300 is 150." A) 300 B) 150 C) 50% 3. Identify the rate in the statment " 260 is 52% of 500." A) 500 B) 260 C) 52% 4. The length of one of the equal legs of an isosceles triangle is 8 cm less than 4 times... Week 4 Ch. 2...
Algebra Project 2
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...1) True Let x and y be two numbers. Square of their product is: Product of their squares: Since both the equations are equal, the ment is true. 2) False Let x and y be two numbers Square of their sum= Sum of their squares= Since both the equations are not equal, the statement is false. Answer: D Answer: C Answer : B Answer: B Answer: D Answer: A H(t)=0 when it hits the ground, Answer: A Answer: D Answer: C Answer: C Answer: C A fraction refers to the number of parts in a "whole", and the “whole” is always the number in the denominator therefore to add pieces of cake it is essential to have the same point of reference. In other words, apple pieces cannot be added into oranges therefore... True Let x...
ODEs and Linear Algebra
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... Question 25 marks Choose an application of engineering where differential equations are used. Explain how they are used without going into theory that has not been covered, that is, as if you were explaining it to a young person (much younger than yourself). To begin with, we ought to bear in mind that differential equations are essentially equations which depict the ‘rates of change’ occurring between properties or dimensions such as of length, area, volume, mass, and heat, each of which typically alters with respect to time. These rates of change may be represented by differential equations of first or higher order that must be generally or particularly solved to find a certain equation... Question...
College Algebra Unit 3 DB
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...Body Mass Index by 3rd August The aim of this essay is to evaluate the subject of obesity, one of America’s health problems. BMI is used to determine an individual’s height and weight, and whether an individual is obese. Determination of Body Mass Index is established through the formula, 703*W/h^2, where W is the heaviness in pounds and h is the stature in inches (Ferrera, 2005). Angelina Jolie, a movie star, was chosen for this research. Her latest weight has been averaged to 127.5 (Zimbio, 2012). Using the formula BMI=703*w/h2, the maximum figure of BMI was used to find the height in each of the categories of weight status. In the underweight category, in which BMI is 18.5; the height... Mass Index...
Unit 5 Discussion Board Algebra
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...Unit 5 Discussion Board The investment plan selected is 60 months U.S. Bank Certificate of Deposit (Certificate of Deposit Rates, for the grandmother who has $50,000 to invest and is looking for a plan to finance her new grandchild’s college education. The principal, P is $50,000. The annual interest rate, r for the investment is 1.39%. The time, t in years for the investment is 5 years. The number of compounding periods per year, n is 4 (assumed). The future value of Grandma’s investment as an exponential function, with time as the independent variable is given by: F(t) = $50000(1 + 0.0139/4)^4t F(t) = $50000(1.003475)^4t The future value of Grandma’s investment is about $53,592.15 (5 years...
Research Paper on : Data that supports some higher education institutions changing the way they approached the instruction in intermediate college algebra at the higher education level because they were not getting the results they wanted so they changed
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...ALGEBRA Introduction According to Barnham , intermediate college algebra has been a big challenge to many students taking the course. Not only does the unit have high number of failure but has also contributed to switching to other courses by many students or even worse, dropping the math course all together. The issue is a matter of concern because it has led to wasted resources, time and money. Barnham attributes the mass failure to incorrect placements that end up giving students courses that they had not prepared for. The high failures result to a bad reputation of the department and the professors of algebra. However, though the failures are looming... HIGH FAILURE AND DROP-OUT RATES IN COLLEGE...
Unit 5 DB college Algebra
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...Future Value Future Value The US Government Savings Bond is a highly recommendable plan for the grandmother to finance her grandchild’s higher education in the future. She can take a 20 year plan, which would attract a 3.5% annual interest with one compounding period per year (Treasury Direct, 2012). By the time the grandchild is 20 years old, he/she will be ready to attend college, hence the choice of a 20-year plan. Besides, this is among the safest ways to save one’s money among those available in the market. Principal, P= $25,000 Annual interest rate, r=3.5% Time in years, t = 20 Number of compounding periods per year, n=1 F(t) = P(1+r/n) t F(20) = 25,000(1+3.5%/1)20 F(20) = 25,000(1... Value Future ...
College Algebra- Repost - Ways to use mathematics
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... Response to Nicole’s Post I think Nicole’s post about how she uses mathematics in here everyday life is very enlightening, especially in view of the idea that mathematics is purely academic. She clearly shows that having knowledge of basic mathematical principles and processes is imperative, specifically if you are in a job that requires quick thinking in terms of numbers. She plainly described how mathematics helps her in performing her job as a cashier at a grocery store and an inventory clerk. She was able to prove the practicality of having basic mathematical knowledge, not only in the workplace, but also at home. It encourages the reader to view mathematics in a more positive... Response to...
College Algebra-Repost-Graphs of Equations and Inequalities
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...algebraic equation showing that the quantity that is greater than or equal to another inequality sign. An inequality always refers to an integer greater than or equal to or even less than or equal to. It tells one of the quantity or size of commodities or values (Pachpatte 1). There are four inequalities symbols, and they include less than (), greater than or equal to (≥), less than or equal to (≤). These symbols are employed in quadratic equations. Moreover, solving linear inequalities is almost the same when solving linear equations, except... due: Graphs of equations and inequality In mathematics, inequality is said to be two values that are not equal. Therefore, inequality is an algebraic equation...
I have five different papers that I need to have written. Disciplines should be in Mathematical methods in introductory algebra,geometry,business math word problems,and business statistics
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...Arithmetic and Geometric Sequences Submitted Introduction: The arithmetic and geometric sequence aretwo of the simplest sequences in mathematics. In arithmetic sequence, each successive term is derived by adding (or subtracting) a constant number. For example: 1, 4, 7, 10 and so on. In geometric sequence, each successive term is obtained by multiplying (or dividing) the previous term by a constant. For example: 2, 6, 18, 54 and so on. Exercise 35 A person hired a firm to build a CB radio tower. The firm charges $100 for labor for the first 10 feet. After that, the cost of the labor for each succeeding 10 feet is $25 more than the preceding 10 feet. That is, the next 10 feet will cost... and...
Discussion Question
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...algebra capture the essential properties of logic operations and set operations? Boolean algebra deals with the set of operations of union, intersection, complement and the logic operators NOT, OR, AND. Similar to any lattice, a Boolean algebra (A, and, or) produces a partially ordered set (A, ≤) through the definition a ≤ b precisely when a = a land b. This is also equal to b=a or b). A Boolean algebra can also be defined as a distributive lattice with greatest element 1 and least element 0. Every element x within this has a complement x such that land x = 0 and x OR x = 1. In this case, and and OR are used to indicate the infimum (meet... Discussion question Discussion question How does Boolean...
Binary Logic
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...algebra is used... Binary Logic Binary logic, also known as Boolean or any two-valued logic, is based on the notion that something makesan X or its complement, presumably a not-X. Being a logic utilized when evaluating between a true or false in a test, binary logic pertains to variables which take on two discrete values, either a “1” or “0”. Logic employed on computers are binary by nature as well. One may find it convenient to interpret the two discrete values as two different integers, or analogously, as the two truth values namely “true” or “false”. This concept has been widely used in the field of social sciences and engineering especially on the logical foundation of digital electronics Boolean alg...
Logic Gates
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...algebra Boolean algebra can be stated as a mathematical logic or a subarea of algebra. There are certain theorems included in this Boolean algebra that are utilized in solving mathematical operations. The truth values or values for variables used in this algebra are represented as 0 and 1. These numerical figures basically denote False and Truth respectively. In this type of elementary algebra variable values are represented as numbers. The main operations of Boolean algebra are denoted as conjunction, negation and disjunction... MODULE 2 BACKGROUND of the of the Different types of logic gates There are six types of logic gates such as NOT, AND, OR, NAND, NOR and XOR. NOT gate is most primarily form of...
Initial Report
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...Algebra After The Renaissance Table of contents Chapter One 1 Project outline 2 Introduction 3 ment of the problem 1.4 Research Methodology 1.5 Limitations of research 2. Chapter Two 2.1 Algebra – definition and characteristics 2.2 Historical development of Algebra (ancient years till today) 2.3 The period of Renaissance and its relation with Algebra 2.4 The influence of Renaissance on the development of Algebra from 1600 until today 3. Chapter Three 3.1 Conclusion and Recommendations References Appendices Research Proposal Abstract Traditionally, the development of sciences around the world has been related with specific social and political events. The reason... for this interaction is...
EED 403/8
2 pages (500 words) , Essay
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...Algebra and how it compares to the seventh grade math curriculum as enumerated in one website article. A brief discussion about the repetitious pattern of middle school math is also included. The Seventh Grade Math: Textbook and Curriculum Pre-algebra, as the name suggests, aims to equip students with the knowledge prerequisite to algebra. Similarly, algebra prepares students to the study of calculus. A good foundation in pre-algebra is therefore necessary for students... Running head: THE SEVENTH GRADE MATH: TEXTBOOK AND CURRICULUM THE SEVENTH GRADE MATH Textbook and Curriculum Diana Tipton Grand Canyon EED403 June (day here), 2009 Abstract This essay examines a seventh grade book on math called Pre-Alg...
Reaction paper
2 pages (500 words) , Essay
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...Algebra Project Inc, a nationwide nonprofit organization devoted to advancing the mathematics accomplishment of traditionally underrepresented communities as well as students. Moreover, the Algebra Project was established in 1982 by a Civil Rights’ leader, Dr. Robert P. Moses through the use of his MacArthur Fellowship award. Dr. Robert P. Moses was Harvard-educated over and above Harlem-born. The Algebra Project advanced from edifying math in one school in Cambridge, MA, to over two hundred middle schools across America by the late 1990s, expanding sensational replicas of society as well as whole-school transformation. What is more, the Algebra Project’s exclusive approach to school... ...
Mathematics
4 pages (1000 words) , Article
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...algebra for independent study. Your topic should be mathematics that you have not studied before or that goes beyond what you have studied. For example, you may use this topic on"Nuclear salvation or nuclear folly" by R.E Lapp. Do not think about developing a lesson plan, or to teach your topic to children. A little story of mathematics is welcome, but that should not be the main theme of your paper. The objective is to describe some mathematics that you have learned. Include a summary of why you selected your topic, and what you learned about it from each resource that you used. Also include some questions provoked by what you learned... on the topic.Include a bibliography and /or list of...
Elementary Math Questions
1 pages (250 words) , Coursework
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...algebra? Algebra manipulatives are used... in enhancing algebra lessons. They come in different shapes and forms and include algebra tiles, algebra blocks and algebra models. These different forms help support the different factors and variables, therefore, making it easier to understand the concept of algebra by use of visuals. This can be transferred easily to mathematical calculations later. 3. What are some manipulatives you would consider using in the classroom? Give some examples of how you would specifically use manipulatives in the classroom? There are many manipulatives that can be used in a...
Case Study Psychology
3 pages (750 words) , Case Study
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...algebra. Succeeding in algebra require a structured approach. Rueben seem to be a very capable student but appears to be unable to perform because of lack of association with other students. The student also keeps to himself. This is the specific problem or issue that needs to be handled for the student to perform better. Considering the specificity of issue that is affecting the student, the behavioral model is the most appropriate model to use. Methodologies The behavioral model has several methodologies that can be used in order to handle the issue that Reuben is facing. There are two methodologies that appear capable of handling the problem that is facing Reuben... Case Study al Affiliation Teaching...
Title is Open
2 pages (500 words) , Essay
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...algebra, a concept that is used to solve many mathematical problems even today. Writing of the book by the name Disquisitines Arithmeticae is another great achievement of Gauss. Another significant achievement is the discovery of the Law of Quadratic Reciprocity. This is an incredibly fundamental concept in today’s world. It allows individuals to establish whether there can be a solution to quadratic equations. Gauss also made a lot of contributions to science. For instance, he made it easy to understand the concepts of the nature... Carl Friedrick Gauss Carl Friedrick Gauss is a renowned individual because of the achievements he was able to attain during his lifetime. Gauss was aGerman Mathematician as...
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