Suresh Pariyar presented on combinations, which are an unordered selection of objects from a set without regard to order or arrangement. Combinations are denoted by C(n,r) and the formula for calculating combinations is C(n,r) = n!/(r!(n-r)!).
The document is a worksheet about distance-time graphs. It contains questions about identifying different parts of a distance-time graph showing constant speed, rest, or acceleration. It also asks the student to calculate the speed from the given graph and sketch example graphs for different scenarios like constant speed, acceleration, etc. The solution section provides the answers to the matching questions and speed calculation.
The document describes two functions that model the cost of cable service over time. Function f(x) = 60x + 40 models the original cost with a $40 installation fee and $60 monthly fee. Function g(x) = 60x + 5 models the reduced cost with a $5 installation fee. Both functions have a slope of 60, so their graphs are parallel lines. The y-intercept of g is 35 less than f, so g's graph is a vertical translation of f's graph. A third function h(x) = 70x + 40 with a $70 monthly fee is discussed. Its graph rises faster than f due to the greater slope, but they have the same y-intercept of 40.
Real numbers follow basic properties including:
1) Commutative and associative properties for addition and multiplication, meaning order does not matter.
2) Distributive property relates multiplication of a number and the sum of two numbers.
3) Identity properties define the additive identity of 0 and multiplicative identity of 1.
4) Inverse properties define additive inverses and multiplicative inverses.
5) Equality properties define how equal numbers behave under operations.
This document provides an overview of fractions including key terms like numerator, denominator and fraction bar. It gives examples of naming the numerator and denominator of fractions like 3/5 and 5/9. Another example shows using fractions to represent shaded regions. The final part lists homework problems from pages 115-117 dealing with fractions.
This document provides instructions for a two-part school project tracking statistics for two athletes over the course of a sporting season. In part one, students are asked to select an athlete from each of two positions and design a chart to track passing and rushing statistics including attempts, completions/yards, and percentages. They then research the players' season totals to date and gain approval for their charts. In part two, students attend, watch or look up the results of a game and record the game stats and formulas to calculate new season totals. They then write a paragraph summarizing their results and how the data was acquired.
The document discusses transformations of plane figures using translations. It provides examples of graphing translations of triangles and quadrilaterals on a coordinate plane by adding or subtracting values from the x- and y-coordinates of each vertex. Students are reminded to submit their formative assessments and that IXL Skill Q.3 on translations was assigned.
This document contains notes from a math lesson on place value and writing numbers in expanded notation. It includes a place value chart listing the value of each place from hundreds trillions to ones. Examples are provided of writing numbers in expanded notation and using words or digits to write out numbers.
The document provides instructions for graphing linear equations using the slope-intercept form. It includes graphing the equations y = 2/3x - 3 and y = -1/4x, finding the slope and y-intercept for each, and writing the equation 3x + 4y = 8 in slope-intercept form to graph it. Students are assigned problems 17 through 26 on page 248 and told to check their work with a graphing calculator.
The document is a worksheet about distance-time graphs. It contains questions about identifying different parts of a distance-time graph showing constant speed, rest, or acceleration. It also asks the student to calculate the speed from the given graph and sketch example graphs for different scenarios like constant speed, acceleration, etc. The solution section provides the answers to the matching questions and speed calculation.
The document describes two functions that model the cost of cable service over time. Function f(x) = 60x + 40 models the original cost with a $40 installation fee and $60 monthly fee. Function g(x) = 60x + 5 models the reduced cost with a $5 installation fee. Both functions have a slope of 60, so their graphs are parallel lines. The y-intercept of g is 35 less than f, so g's graph is a vertical translation of f's graph. A third function h(x) = 70x + 40 with a $70 monthly fee is discussed. Its graph rises faster than f due to the greater slope, but they have the same y-intercept of 40.
Real numbers follow basic properties including:
1) Commutative and associative properties for addition and multiplication, meaning order does not matter.
2) Distributive property relates multiplication of a number and the sum of two numbers.
3) Identity properties define the additive identity of 0 and multiplicative identity of 1.
4) Inverse properties define additive inverses and multiplicative inverses.
5) Equality properties define how equal numbers behave under operations.
This document provides an overview of fractions including key terms like numerator, denominator and fraction bar. It gives examples of naming the numerator and denominator of fractions like 3/5 and 5/9. Another example shows using fractions to represent shaded regions. The final part lists homework problems from pages 115-117 dealing with fractions.
This document provides instructions for a two-part school project tracking statistics for two athletes over the course of a sporting season. In part one, students are asked to select an athlete from each of two positions and design a chart to track passing and rushing statistics including attempts, completions/yards, and percentages. They then research the players' season totals to date and gain approval for their charts. In part two, students attend, watch or look up the results of a game and record the game stats and formulas to calculate new season totals. They then write a paragraph summarizing their results and how the data was acquired.
The document discusses transformations of plane figures using translations. It provides examples of graphing translations of triangles and quadrilaterals on a coordinate plane by adding or subtracting values from the x- and y-coordinates of each vertex. Students are reminded to submit their formative assessments and that IXL Skill Q.3 on translations was assigned.
This document contains notes from a math lesson on place value and writing numbers in expanded notation. It includes a place value chart listing the value of each place from hundreds trillions to ones. Examples are provided of writing numbers in expanded notation and using words or digits to write out numbers.
The document provides instructions for graphing linear equations using the slope-intercept form. It includes graphing the equations y = 2/3x - 3 and y = -1/4x, finding the slope and y-intercept for each, and writing the equation 3x + 4y = 8 in slope-intercept form to graph it. Students are assigned problems 17 through 26 on page 248 and told to check their work with a graphing calculator.
The document provides examples of flowcharts and rules for creating flowcharts. It includes 5 examples of flowcharts: 1) summing even numbers from 1 to 20, 2) finding the sum of the first 50 natural numbers, 3) finding the largest of three numbers, 4) computing a factorial, and 5) improving an assembly process by removing unnecessary checks and fitting a reel band earlier. It also lists rules for drawing clear flowcharts, such as including start and stop symbols, using arrows to show flow, and limiting each chart to one page.
Here are the steps to solve these Law of Sines problems:
1. Given: a = 13, b = 20, A = 75°
Use the Law of Sines: sin(A)/a = sin(B)/b
sin(75°)/13 = sin(B)/20
sin(75°)*20/13 = sin(B)
B = sin-1(0.8) = 67°
2. Given: a = 25, B = 38°
Use the Law of Sines: sin(A)/a = sin(B)/b
sin(38°)/25 = sin(m°)/20
sin(38°)*20/25 = sin
This document contains notes from a math lesson including:
1) An assignment of an even number set due the next day
2) Examples of exponent and square root problems such as 4 cubed, 1/2 squared, and 10 to the sixth power
3) Formulas for calculating the area of rectangles and squares
The document provides an agenda for a math class that includes reviewing homework problems, discussing a daily scribe, and learning about key concepts related to linear equations including y-intercepts, coefficients, and writing equations to represent costs.
The document calculates the horizontal and vertical reaction forces on a solar collector panel based on its specifications and an equilibrium analysis. It lists the masses and forces on the panel, including a 106 kg panel mass and 25 kg additional mass. An equilibrium analysis is done assuming no wind, snow, or flexion to solve for the horizontal and vertical reaction forces on the front and back of the panel, which are 384.6N and 368.5N horizontally and 376.6N vertically at both the front and back.
This document outlines linear regression, which is a machine learning technique for predicting real-valued outputs based on numerical input variables. It assumes a linear relationship between the inputs and outputs. Linear regression finds the linear equation that best fits the training data by minimizing a sum of squared errors function. The parameters of the linear equation can be estimated analytically through differentiation and solving for when the partial derivatives are equal to zero.
This document discusses sinusoidal functions and their properties and transformations. It explains the role of each parameter (A, B, C, D) in the general sinusoidal equation A sin B(x - C) + D. It provides examples of how changing each parameter affects the graph of the sine function. It also includes homework questions asking students to determine parameter values and properties from graphs.
This document contains a lesson on drawing coordinate planes and plotting points on them. It includes 4 examples of drawing coordinate planes with different scales for the x- and y-axes and plotting points. The lesson emphasizes properly scaling the axes to show all points based on their ranges. Students are asked to label coordinate planes and plot points for 2 problems.
Monad and Algebraic Design in Functional ProgrammingNamuk Park
This document discusses functional programming concepts including SOLID design principles, strategy pattern, composition over inheritance, algebraic design, functors, monads, applicatives, and how monads can be used for railway oriented programming. It provides code examples for defining functors and monads in Scala as well as examples of type representations for monomorphism, epimorphism, and isomorphism.
This document provides the formulas and an example calculation for finding the area of a triangle and square. It gives the formula for calculating the area of a triangle as A=B×h/2, and uses the example of a triangle with a base of 8 cm and height of 5 cm, finding the area is 20 cm^2. It also gives the formula for calculating the area of a square as A=a^2, and uses the example of a square with sides of 5 cm, finding the area is 25 cm^2.
1) The document outlines an assignment and lesson on parallelograms. It includes examples of finding the perimeter, area, and angle measures of various parallelograms.
2) The warm-up questions cover evaluating expressions, calculating sales tax, and converting fractions to decimals and percents.
3) The lesson defines the formula for finding the area of a parallelogram and lists properties of parallelograms including opposite angles being congruent and adjacent angles summing to 180 degrees.
The document describes the areas of two squares - a big square with sides of 5 inches and an area of 25 inches squared, and a small square with sides of 3 inches and an area of 9 inches squared. It then uses the pattern of the sum and difference of two binomials to calculate the difference between the areas, finding that the big square's area minus the small square's area equals 25 - 9 = 16 inches squared.
This document contains 23 multiple choice questions about topics related to real numbers and polynomials. The questions cover prime factorizations, exponents, HCF and LCM of numbers, zeroes of quadratic polynomials, and relationships between coefficients and zeroes. The document provides the questions, possible answer choices for each, and the date. It serves as a quiz or practice for fundamental concepts involving numbers and polynomials.
Applications of calculus in commerce and economics ii sumanmathews
1) The document discusses applications of calculus concepts like marginal revenue, average revenue, and marginal cost in economics.
2) It provides examples of calculating marginal revenue from demand functions, finding the quantity where marginal revenue is zero, and deriving a demand function from a marginal revenue function.
3) One example shows calculating the total increase in cost from increasing production from 100 to 200 units using a given marginal cost function and total cost function.
Adaptive Implementation of Spatial Policies: A Gamejaapevers
The document summarizes a simulation game about implementing integrated spatial plans. It describes the game, game processes, outcomes, and conclusions. The game involved different stakeholders negotiating the development of spatial plans. Participants had varying levels of involvement in decision-making. Game outcomes showed higher costs when authorities did not cooperate or combine goals. Discussions concluded that an adaptive approach led to less innovation but more cooperation, while a strategic approach resulted in more conflicts but also more innovative plans.
The document discusses variables, constants, literals, and input/output in C programming. It explains that variables are containers that hold data and have unique names. It notes that C is a strongly typed language where variable types cannot change once declared. It also discusses integer, float, and other basic data types in C. The document provides examples of using printf() for output and scanf() for input and formatting specifiers like %d and %f.
The document summarizes the results of a rental guarantee study application for a property located at Calle 47 N° 28 - 32. It lists the renter's name, address of the property, monthly rent, identification information, and credit rating. There are four observations notes on the application dated at different times. The renter and co-signer signatures are included to finalize the rental contract pending the study results. The regulation of general conditions of the Guarantee service establishes the responsibility of both Inmofianza S.A.S. and the real estate agency requiring strict compliance.
Applications of calculus in commerce and economicssumanmathews
This document contains examples and explanations of key concepts in applying calculus to commerce and economics, including:
1) Cost functions, revenue functions, profit functions, and determining break-even points. An example shows calculating the break-even points for a TV manufacturer.
2) Calculating minimum production needed to ensure no loss, and how changing price affects break-even point.
3) Determining the price needed to ensure no loss when production quantity is fixed.
4) Definitions and examples of average cost, total cost, marginal cost, and finding the output where average cost increases.
5) Deriving a revenue function from a demand function and finding the price and quantity that minimize revenue.
The document discusses visualizing data in Matlab. It describes how the plot function can be used to create graphs with different parameters. It also explains how to create animations by saving multiple frames from figures using getframe and playing them back with movie. An example is provided to generate an animation by plotting the FFT of an identity matrix over increasing sizes and saving each frame.
La persona tiene 18 años y nació en Villa Carlos Paz, Córdoba, Argentina. Sus gustos e intereses incluyen tocar el piano, dibujar, bailar, cocinar y escuchar música, además de amar los elefantes y andar en bicicleta. Le gustaría tratar el tema de la danza como deporte y la flexibilidad en su wiki, ya que le resultan interesantes y le producen curiosidad.
The document provides examples of flowcharts and rules for creating flowcharts. It includes 5 examples of flowcharts: 1) summing even numbers from 1 to 20, 2) finding the sum of the first 50 natural numbers, 3) finding the largest of three numbers, 4) computing a factorial, and 5) improving an assembly process by removing unnecessary checks and fitting a reel band earlier. It also lists rules for drawing clear flowcharts, such as including start and stop symbols, using arrows to show flow, and limiting each chart to one page.
Here are the steps to solve these Law of Sines problems:
1. Given: a = 13, b = 20, A = 75°
Use the Law of Sines: sin(A)/a = sin(B)/b
sin(75°)/13 = sin(B)/20
sin(75°)*20/13 = sin(B)
B = sin-1(0.8) = 67°
2. Given: a = 25, B = 38°
Use the Law of Sines: sin(A)/a = sin(B)/b
sin(38°)/25 = sin(m°)/20
sin(38°)*20/25 = sin
This document contains notes from a math lesson including:
1) An assignment of an even number set due the next day
2) Examples of exponent and square root problems such as 4 cubed, 1/2 squared, and 10 to the sixth power
3) Formulas for calculating the area of rectangles and squares
The document provides an agenda for a math class that includes reviewing homework problems, discussing a daily scribe, and learning about key concepts related to linear equations including y-intercepts, coefficients, and writing equations to represent costs.
The document calculates the horizontal and vertical reaction forces on a solar collector panel based on its specifications and an equilibrium analysis. It lists the masses and forces on the panel, including a 106 kg panel mass and 25 kg additional mass. An equilibrium analysis is done assuming no wind, snow, or flexion to solve for the horizontal and vertical reaction forces on the front and back of the panel, which are 384.6N and 368.5N horizontally and 376.6N vertically at both the front and back.
This document outlines linear regression, which is a machine learning technique for predicting real-valued outputs based on numerical input variables. It assumes a linear relationship between the inputs and outputs. Linear regression finds the linear equation that best fits the training data by minimizing a sum of squared errors function. The parameters of the linear equation can be estimated analytically through differentiation and solving for when the partial derivatives are equal to zero.
This document discusses sinusoidal functions and their properties and transformations. It explains the role of each parameter (A, B, C, D) in the general sinusoidal equation A sin B(x - C) + D. It provides examples of how changing each parameter affects the graph of the sine function. It also includes homework questions asking students to determine parameter values and properties from graphs.
This document contains a lesson on drawing coordinate planes and plotting points on them. It includes 4 examples of drawing coordinate planes with different scales for the x- and y-axes and plotting points. The lesson emphasizes properly scaling the axes to show all points based on their ranges. Students are asked to label coordinate planes and plot points for 2 problems.
Monad and Algebraic Design in Functional ProgrammingNamuk Park
This document discusses functional programming concepts including SOLID design principles, strategy pattern, composition over inheritance, algebraic design, functors, monads, applicatives, and how monads can be used for railway oriented programming. It provides code examples for defining functors and monads in Scala as well as examples of type representations for monomorphism, epimorphism, and isomorphism.
This document provides the formulas and an example calculation for finding the area of a triangle and square. It gives the formula for calculating the area of a triangle as A=B×h/2, and uses the example of a triangle with a base of 8 cm and height of 5 cm, finding the area is 20 cm^2. It also gives the formula for calculating the area of a square as A=a^2, and uses the example of a square with sides of 5 cm, finding the area is 25 cm^2.
1) The document outlines an assignment and lesson on parallelograms. It includes examples of finding the perimeter, area, and angle measures of various parallelograms.
2) The warm-up questions cover evaluating expressions, calculating sales tax, and converting fractions to decimals and percents.
3) The lesson defines the formula for finding the area of a parallelogram and lists properties of parallelograms including opposite angles being congruent and adjacent angles summing to 180 degrees.
The document describes the areas of two squares - a big square with sides of 5 inches and an area of 25 inches squared, and a small square with sides of 3 inches and an area of 9 inches squared. It then uses the pattern of the sum and difference of two binomials to calculate the difference between the areas, finding that the big square's area minus the small square's area equals 25 - 9 = 16 inches squared.
This document contains 23 multiple choice questions about topics related to real numbers and polynomials. The questions cover prime factorizations, exponents, HCF and LCM of numbers, zeroes of quadratic polynomials, and relationships between coefficients and zeroes. The document provides the questions, possible answer choices for each, and the date. It serves as a quiz or practice for fundamental concepts involving numbers and polynomials.
Applications of calculus in commerce and economics ii sumanmathews
1) The document discusses applications of calculus concepts like marginal revenue, average revenue, and marginal cost in economics.
2) It provides examples of calculating marginal revenue from demand functions, finding the quantity where marginal revenue is zero, and deriving a demand function from a marginal revenue function.
3) One example shows calculating the total increase in cost from increasing production from 100 to 200 units using a given marginal cost function and total cost function.
Adaptive Implementation of Spatial Policies: A Gamejaapevers
The document summarizes a simulation game about implementing integrated spatial plans. It describes the game, game processes, outcomes, and conclusions. The game involved different stakeholders negotiating the development of spatial plans. Participants had varying levels of involvement in decision-making. Game outcomes showed higher costs when authorities did not cooperate or combine goals. Discussions concluded that an adaptive approach led to less innovation but more cooperation, while a strategic approach resulted in more conflicts but also more innovative plans.
The document discusses variables, constants, literals, and input/output in C programming. It explains that variables are containers that hold data and have unique names. It notes that C is a strongly typed language where variable types cannot change once declared. It also discusses integer, float, and other basic data types in C. The document provides examples of using printf() for output and scanf() for input and formatting specifiers like %d and %f.
The document summarizes the results of a rental guarantee study application for a property located at Calle 47 N° 28 - 32. It lists the renter's name, address of the property, monthly rent, identification information, and credit rating. There are four observations notes on the application dated at different times. The renter and co-signer signatures are included to finalize the rental contract pending the study results. The regulation of general conditions of the Guarantee service establishes the responsibility of both Inmofianza S.A.S. and the real estate agency requiring strict compliance.
Applications of calculus in commerce and economicssumanmathews
This document contains examples and explanations of key concepts in applying calculus to commerce and economics, including:
1) Cost functions, revenue functions, profit functions, and determining break-even points. An example shows calculating the break-even points for a TV manufacturer.
2) Calculating minimum production needed to ensure no loss, and how changing price affects break-even point.
3) Determining the price needed to ensure no loss when production quantity is fixed.
4) Definitions and examples of average cost, total cost, marginal cost, and finding the output where average cost increases.
5) Deriving a revenue function from a demand function and finding the price and quantity that minimize revenue.
The document discusses visualizing data in Matlab. It describes how the plot function can be used to create graphs with different parameters. It also explains how to create animations by saving multiple frames from figures using getframe and playing them back with movie. An example is provided to generate an animation by plotting the FFT of an identity matrix over increasing sizes and saving each frame.
La persona tiene 18 años y nació en Villa Carlos Paz, Córdoba, Argentina. Sus gustos e intereses incluyen tocar el piano, dibujar, bailar, cocinar y escuchar música, además de amar los elefantes y andar en bicicleta. Le gustaría tratar el tema de la danza como deporte y la flexibilidad en su wiki, ya que le resultan interesantes y le producen curiosidad.
Agustin tiene 18 años y nació el 12 de marzo de 1996. Le gusta andar en bicicleta, hacer SUP, pasear a sus perros y disfrutar de la naturaleza. Quiere abordar el tema de "Actividades de la naturaleza" para su wiki porque le interesa y disfrutaría realizando este tipo de actividades al aire libre.
Arithmetic progressions - Poblem based Arithmetic progressionsLet's Tute
Arithmetic progressions - problem based Arithmetic progressions.
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A geometric progression is a series where each term is found by multiplying the previous term by a fixed number called the common ratio. The nth term is given by anrn-1 and the sum of the first n terms is given by (1-rn)/(1-r). Key formulas are provided to calculate individual terms and the partial sum using the first term a, common ratio r, and number of terms n. Examples demonstrate applying the formulas to find terms, partial sums, common ratios, and first terms for a variety of geometric series.
2. Combination…Combination…
►Collection without any regard to orderCollection without any regard to order
or arrangement.or arrangement.
►Unordered selection of r objects fromUnordered selection of r objects from
a set of n objectsa set of n objects
►It is denoted by C(n,r)It is denoted by C(n,r)
04/19/14 2Combination