This document contains a 12 question multiple choice exam covering topics in mathematics and geometry. The questions involve functions, graphs, probability, volumes, areas, and geometric relationships.
A tractor factory established a goal to produce 20,000 tractors by 2025, having produced increasing amounts from 2010 to 2017. Assuming continued growth at the same rate, the goal will be reached and surpassed by 150 tractors. Several word problems are presented involving functions, geometry, trigonometry, and other mathematical concepts. The document provides 20 multiple choice questions with answers for an exam.
Eratosthenes, an ancient Greek scholar, estimated one of the first measurements of Earth's radius by observing the sun from two different cities in Egypt on the summer solstice. Noting that a vertical rod cast no shadow in Syene but did cast a shadow in Alexandria, he calculated the angle between the sun's rays and used this angle and the known distance between the cities to estimate Earth's circumference as approximately 25,000 miles.
The document contains 20 multiple choice questions about mathematics topics such as functions, geometry, trigonometry, and algebra. The questions cover concepts like parabolas, areas, solid geometry, probability, combinatorics, and equations. The document provides a key with the correct answer for each question listed from A to E.
The document describes a math and language exam with multiple choice questions about:
- The number of exam takers based on performance data in different subjects.
- Graphs of composite functions.
- Properties of real functions.
- The number of possible triangles that can be drawn between points.
- Probability calculations involving colored balls in an urn.
- Angle sums in a star polygon formed from an octagon.
- The area of a region within a circle inscribed in a quadrilateral.
- Properties of a polynomial with roots on the unit circle.
- The length of a track based on runners passing each other.
- Calculations to determine the best way to purchase a TV.
-
This document contains 10 math problems from an open book exam (IME 2016). The problems cover a range of topics including sequences, functions, probability, geometry, complex numbers, matrices, and equations. The solutions provided are concise and directly address the key information requested in each problem.
The document contains 12 multiple choice questions from an exam (ITA 2019). The questions cover a range of mathematical topics including systems of linear equations, probability, geometry, trigonometry, and complex numbers.
This document contains a test with 15 multiple choice questions covering various topics in mathematics including algebra, geometry, trigonometry, and calculus. The test is for Escola Naval 2020. The questions involve concepts like progressions, functions, limits, vectors, and factorials. No answer key is provided.
This document contains 15 multiple choice questions from an IME 2019 exam covering topics in trigonometry, functions, geometry, complex numbers, and algebra. The questions involve concepts like progressions, function definitions, probability, areas of shapes, coordinate transformations, inequalities, and solving equations. The answers to each question are provided in a key at the end.
A tractor factory established a goal to produce 20,000 tractors by 2025, having produced increasing amounts from 2010 to 2017. Assuming continued growth at the same rate, the goal will be reached and surpassed by 150 tractors. Several word problems are presented involving functions, geometry, trigonometry, and other mathematical concepts. The document provides 20 multiple choice questions with answers for an exam.
Eratosthenes, an ancient Greek scholar, estimated one of the first measurements of Earth's radius by observing the sun from two different cities in Egypt on the summer solstice. Noting that a vertical rod cast no shadow in Syene but did cast a shadow in Alexandria, he calculated the angle between the sun's rays and used this angle and the known distance between the cities to estimate Earth's circumference as approximately 25,000 miles.
The document contains 20 multiple choice questions about mathematics topics such as functions, geometry, trigonometry, and algebra. The questions cover concepts like parabolas, areas, solid geometry, probability, combinatorics, and equations. The document provides a key with the correct answer for each question listed from A to E.
The document describes a math and language exam with multiple choice questions about:
- The number of exam takers based on performance data in different subjects.
- Graphs of composite functions.
- Properties of real functions.
- The number of possible triangles that can be drawn between points.
- Probability calculations involving colored balls in an urn.
- Angle sums in a star polygon formed from an octagon.
- The area of a region within a circle inscribed in a quadrilateral.
- Properties of a polynomial with roots on the unit circle.
- The length of a track based on runners passing each other.
- Calculations to determine the best way to purchase a TV.
-
This document contains 10 math problems from an open book exam (IME 2016). The problems cover a range of topics including sequences, functions, probability, geometry, complex numbers, matrices, and equations. The solutions provided are concise and directly address the key information requested in each problem.
The document contains 12 multiple choice questions from an exam (ITA 2019). The questions cover a range of mathematical topics including systems of linear equations, probability, geometry, trigonometry, and complex numbers.
This document contains a test with 15 multiple choice questions covering various topics in mathematics including algebra, geometry, trigonometry, and calculus. The test is for Escola Naval 2020. The questions involve concepts like progressions, functions, limits, vectors, and factorials. No answer key is provided.
This document contains 15 multiple choice questions from an IME 2019 exam covering topics in trigonometry, functions, geometry, complex numbers, and algebra. The questions involve concepts like progressions, function definitions, probability, areas of shapes, coordinate transformations, inequalities, and solving equations. The answers to each question are provided in a key at the end.
The document contains 10 math problems from an exam (ITA 2015). The problems cover a range of topics including functions, progressions, linear systems, polynomials, probability, geometry, and trigonometry. The document also includes the solutions to the problems.
The document contains 20 multiple choice questions about functions. The questions cover topics such as: graphs of polynomial, quadratic and logarithmic functions; maximums and domains of functions; relationships between input and output values; intersections of graphs; and analyzing real world scenarios involving functional relationships.
The document contains 15 multiple choice questions from an exam in Brazil (IME 2016). The questions cover topics such as sets, trigonometry, probability, geometry, and polynomials. For each question there are 5 possible answer choices labeled a-e. The questions range in difficulty and topic.
The document contains 6 questions regarding mathematics and geometry problems. Some key details:
- Question 1 involves analyzing properties of numbers in a 3x3 square and finding the minimum number in a 16 number square.
- Question 2 describes the construction of the Koch snowflake and calculates properties like the number of sides and perimeter at different steps.
- Question 3 provides information about a game with 16 shaped pieces in 4 colors and calculates possible collections and probabilities.
- The remaining questions involve calculating lengths, areas, complex numbers, and values of a function over an interval.
1) The document contains 10 math problems from a Brazilian entrance exam (Fuvest). The problems cover topics like functions, geometry, probability, and word problems.
2) Mafalda is frustrated that she cannot solve one of the math problems. The problem asks her to solve 291.
3) A transportation company received a request to make an additional delivery, which would require deviating from the most direct route. The question calculates the minimum price the company would need to charge for the extra time and fuel required.
This document provides information about a graph including its adjacency matrix, incidence matrix, and properties. It asks to:
1) Find the adjacency and incidence matrices of the graph.
2) Determine if the graph is connected, simple, regular, or complete and justify the responses.
3) Find a non-elementary simple chain of degree 6, a non-simple cycle of degree 5, and a minimum spanning tree.
4) Determine if the graph is Eulerian or Hamiltonian and justify the responses.
1) For question 1, the smallest values of n and k such that kS_n = 20 are n = 2 and k = 6. For any positive integer j, there exist integers n ≥ 1 and k ≥ 0 such that kS_n = j.
2) For question 2, the domain of f(x) is [-1,0) U [1,+∞) and f(x) = 0 when x = ±1/√2.
3) For question 5a, the cosine of angle ACB can be expressed in terms of α and β.
4) For question 9a, g(f−1(α)) = cos(1−α
1) The document describes a radioactive material that is stored in a sealed rectangular prism container. It provides an equation for how much material is discarded each day and asks to determine the minimum surface area container dimensions that can store the material indefinitely.
2) It asks several questions about matrix similarity and determinants. Specifically, it asks to show that if two matrices A and B are similar then their determinants are equal, and to verify if two given matrices C and D are similar.
3) It describes changes to vehicle license plate formats in Brazil and asks to determine the number of possible new-format plates that share a three-character sequence with a given old-format plate.
This document contains 10 math problems from an exam in 2015. The problems cover topics like geometry (finding heights of solids cut from a tetrahedron, determining perimeters and areas of triangles), algebra (solving equations, finding real solutions to inequalities), complex numbers (describing loci satisfying an argument equation), and number theory (finding possible integer roots of polynomials, counting polynomials with distinct integer roots).
This document contains 20 multiple choice questions related to mathematics:
1. The number of digits in the integer part of 7x is 288, where x is a natural number with 2015 digits.
2. Statements I and II are true - I being that a certain function is strictly increasing, and II that a quadratic equation has one real solution.
3. Statements I, II, and III are true - I and II regarding a decreasing sequence being bounded above and below by 0 and 1, respectively, and III regarding being less than 1.
4. The value of T is a particular fraction involving matrices M and N.
The document contains a mathematics exam with 15 multiple choice questions. It covers topics such as geometric and arithmetic progressions, combinations, trigonometry, complex numbers, polynomials, and sets. The questions involve calculating values, identifying geometric objects, solving systems of equations, and finding cardinalities of sets.
This document contains 20 multiple choice questions from an exam in Brazil called ITA 2017. The questions cover a range of mathematical topics including sets, geometry, trigonometry, logarithms, and number theory. For each question there are 5 possible answer choices labeled a-e.
This document contains 25 math problems and their solutions. The problems cover a range of arithmetic topics like number properties, operations, sequences, and word problems. The correct answers to the problems are provided in a key at the end.
The document discusses graphing simple quadratic functions by hand without a calculator or table of values. It provides examples of graphing quadratic equations like y = x^2, y = 1/2x^2 + 2, and y = 5x^2 - 8, explaining how to identify the vertex and determine if the graph has roots by setting it equal to 0. It then gives a real world example of graphing the function d=-16t^2 +30 that models the height of a stick dropped from a flying eagle over time, noting that the domain is non-negative to only measure time positively and the range does not exceed 30 feet since that was the starting height.
The document is a mathematics study guide for 7th grade students covering operations with integers, exponents, roots, and algebraic expressions over a 3 week period. It includes examples and exercises on calculating exponents and roots of integers, the rules for signs in exponents, and evaluating algebraic expressions using order of operations.
The document contains 20 multiple choice questions about functions. The questions cover topics such as exponential functions, linear functions, quadratic functions, modular functions, and geometric progressions. They involve calculating function values, analyzing function graphs, finding maximums and minimums, and modeling real-world scenarios mathematically.
The document contains a 14-question multiple choice exam on mathematics topics such as geometry, trigonometry, complex numbers, and functions. The exam includes questions about sets, progressions, matrices, volumes, ellipses, logarithms, and more. The key provided at the end of the document indicates the correct answer for each question is choice C for question 1, B for question 2, the answer is nullified for question 3, A for question 4, and so on, with the least number being choice C for the final question.
This document contains 20 multiple choice questions from an exam in Brazil (ITA 2011). The questions cover a range of mathematical topics including algebra, geometry, trigonometry, and complex numbers. For each question there are 5 possible answer choices labeled a-e. The document also includes the answer key at the end listing the correct choice for each question.
This document contains precalculus homework problems involving complex numbers. The problems ask the student to: 1) Simplify various expressions with imaginary units; 2) For sets of complex numbers, plot them on a plane, find the modulus and distance between them, find the midpoint, add, subtract, multiply, and divide them using conjugates.
This document contains a 14 question multiple choice exam along with its answer key. The exam covers topics such as arithmetic progressions, polynomial functions, probability, geometry of polygons and triangles, matrices, and trigonometry. The answer key indicates that the correct answers are choices C, C, A, A, B, C, B, C, D, C, A, D, B, and B, respectively, for each question.
This document presents a multi-part math problem involving a polygon with sides of decreasing length forming an arithmetic progression. It provides information about the polygon and asks the reader to analyze several propositions related to distances traveled by a formic along the polygon's path. It then asks the reader to identify which of the propositions are true.
This document presents information about a video game level where the character must reach the 20th floor of a building using one of three elevators to escape attacking monsters. The elevators stop at different floors according to their programming (even, multiples of 3, multiples of 5). Several propositions are then made about which elevators could stop at the same floor. Overall the level requires strategic use of the elevators to progress.
The document contains 10 math problems from an exam (ITA 2015). The problems cover a range of topics including functions, progressions, linear systems, polynomials, probability, geometry, and trigonometry. The document also includes the solutions to the problems.
The document contains 20 multiple choice questions about functions. The questions cover topics such as: graphs of polynomial, quadratic and logarithmic functions; maximums and domains of functions; relationships between input and output values; intersections of graphs; and analyzing real world scenarios involving functional relationships.
The document contains 15 multiple choice questions from an exam in Brazil (IME 2016). The questions cover topics such as sets, trigonometry, probability, geometry, and polynomials. For each question there are 5 possible answer choices labeled a-e. The questions range in difficulty and topic.
The document contains 6 questions regarding mathematics and geometry problems. Some key details:
- Question 1 involves analyzing properties of numbers in a 3x3 square and finding the minimum number in a 16 number square.
- Question 2 describes the construction of the Koch snowflake and calculates properties like the number of sides and perimeter at different steps.
- Question 3 provides information about a game with 16 shaped pieces in 4 colors and calculates possible collections and probabilities.
- The remaining questions involve calculating lengths, areas, complex numbers, and values of a function over an interval.
1) The document contains 10 math problems from a Brazilian entrance exam (Fuvest). The problems cover topics like functions, geometry, probability, and word problems.
2) Mafalda is frustrated that she cannot solve one of the math problems. The problem asks her to solve 291.
3) A transportation company received a request to make an additional delivery, which would require deviating from the most direct route. The question calculates the minimum price the company would need to charge for the extra time and fuel required.
This document provides information about a graph including its adjacency matrix, incidence matrix, and properties. It asks to:
1) Find the adjacency and incidence matrices of the graph.
2) Determine if the graph is connected, simple, regular, or complete and justify the responses.
3) Find a non-elementary simple chain of degree 6, a non-simple cycle of degree 5, and a minimum spanning tree.
4) Determine if the graph is Eulerian or Hamiltonian and justify the responses.
1) For question 1, the smallest values of n and k such that kS_n = 20 are n = 2 and k = 6. For any positive integer j, there exist integers n ≥ 1 and k ≥ 0 such that kS_n = j.
2) For question 2, the domain of f(x) is [-1,0) U [1,+∞) and f(x) = 0 when x = ±1/√2.
3) For question 5a, the cosine of angle ACB can be expressed in terms of α and β.
4) For question 9a, g(f−1(α)) = cos(1−α
1) The document describes a radioactive material that is stored in a sealed rectangular prism container. It provides an equation for how much material is discarded each day and asks to determine the minimum surface area container dimensions that can store the material indefinitely.
2) It asks several questions about matrix similarity and determinants. Specifically, it asks to show that if two matrices A and B are similar then their determinants are equal, and to verify if two given matrices C and D are similar.
3) It describes changes to vehicle license plate formats in Brazil and asks to determine the number of possible new-format plates that share a three-character sequence with a given old-format plate.
This document contains 10 math problems from an exam in 2015. The problems cover topics like geometry (finding heights of solids cut from a tetrahedron, determining perimeters and areas of triangles), algebra (solving equations, finding real solutions to inequalities), complex numbers (describing loci satisfying an argument equation), and number theory (finding possible integer roots of polynomials, counting polynomials with distinct integer roots).
This document contains 20 multiple choice questions related to mathematics:
1. The number of digits in the integer part of 7x is 288, where x is a natural number with 2015 digits.
2. Statements I and II are true - I being that a certain function is strictly increasing, and II that a quadratic equation has one real solution.
3. Statements I, II, and III are true - I and II regarding a decreasing sequence being bounded above and below by 0 and 1, respectively, and III regarding being less than 1.
4. The value of T is a particular fraction involving matrices M and N.
The document contains a mathematics exam with 15 multiple choice questions. It covers topics such as geometric and arithmetic progressions, combinations, trigonometry, complex numbers, polynomials, and sets. The questions involve calculating values, identifying geometric objects, solving systems of equations, and finding cardinalities of sets.
This document contains 20 multiple choice questions from an exam in Brazil called ITA 2017. The questions cover a range of mathematical topics including sets, geometry, trigonometry, logarithms, and number theory. For each question there are 5 possible answer choices labeled a-e.
This document contains 25 math problems and their solutions. The problems cover a range of arithmetic topics like number properties, operations, sequences, and word problems. The correct answers to the problems are provided in a key at the end.
The document discusses graphing simple quadratic functions by hand without a calculator or table of values. It provides examples of graphing quadratic equations like y = x^2, y = 1/2x^2 + 2, and y = 5x^2 - 8, explaining how to identify the vertex and determine if the graph has roots by setting it equal to 0. It then gives a real world example of graphing the function d=-16t^2 +30 that models the height of a stick dropped from a flying eagle over time, noting that the domain is non-negative to only measure time positively and the range does not exceed 30 feet since that was the starting height.
The document is a mathematics study guide for 7th grade students covering operations with integers, exponents, roots, and algebraic expressions over a 3 week period. It includes examples and exercises on calculating exponents and roots of integers, the rules for signs in exponents, and evaluating algebraic expressions using order of operations.
The document contains 20 multiple choice questions about functions. The questions cover topics such as exponential functions, linear functions, quadratic functions, modular functions, and geometric progressions. They involve calculating function values, analyzing function graphs, finding maximums and minimums, and modeling real-world scenarios mathematically.
The document contains a 14-question multiple choice exam on mathematics topics such as geometry, trigonometry, complex numbers, and functions. The exam includes questions about sets, progressions, matrices, volumes, ellipses, logarithms, and more. The key provided at the end of the document indicates the correct answer for each question is choice C for question 1, B for question 2, the answer is nullified for question 3, A for question 4, and so on, with the least number being choice C for the final question.
This document contains 20 multiple choice questions from an exam in Brazil (ITA 2011). The questions cover a range of mathematical topics including algebra, geometry, trigonometry, and complex numbers. For each question there are 5 possible answer choices labeled a-e. The document also includes the answer key at the end listing the correct choice for each question.
This document contains precalculus homework problems involving complex numbers. The problems ask the student to: 1) Simplify various expressions with imaginary units; 2) For sets of complex numbers, plot them on a plane, find the modulus and distance between them, find the midpoint, add, subtract, multiply, and divide them using conjugates.
This document contains a 14 question multiple choice exam along with its answer key. The exam covers topics such as arithmetic progressions, polynomial functions, probability, geometry of polygons and triangles, matrices, and trigonometry. The answer key indicates that the correct answers are choices C, C, A, A, B, C, B, C, D, C, A, D, B, and B, respectively, for each question.
This document presents a multi-part math problem involving a polygon with sides of decreasing length forming an arithmetic progression. It provides information about the polygon and asks the reader to analyze several propositions related to distances traveled by a formic along the polygon's path. It then asks the reader to identify which of the propositions are true.
This document presents information about a video game level where the character must reach the 20th floor of a building using one of three elevators to escape attacking monsters. The elevators stop at different floors according to their programming (even, multiples of 3, multiples of 5). Several propositions are then made about which elevators could stop at the same floor. Overall the level requires strategic use of the elevators to progress.
This document contains a 16 question math exam covering topics such as functions, trigonometry, geometry, and linear systems. The questions involve solving equations, analyzing graphs, calculating areas and probabilities, and determining properties of functions and geometric shapes. The correct answers are provided at the end.
This document contains 10 multi-part questions related to mathematics. The questions cover topics such as functions, probability, geometry, and trigonometry. For example, question 1 involves calculating values of functions, finding where two functions are equal, and sketching their graphs. Question 4 analyzes the distances traveled by two planes flying routes between cities.
This document contains a 12 question multiple choice exam covering various topics in mathematics and physics. The questions involve concepts like geometry, trigonometry, probability, coordinate systems, and data analysis. For each question there are 5 possible answer choices labeled a-e. The last section provides the answer key showing the correct choice for each question.
This document contains a 20 question multiple choice exam covering topics in mathematics. The questions cover areas like functions, geometry, probability, sequences, and matrices. For each question there are 4 possible answer choices labeled a, b, c, or d. The exam also includes the answers to each question labeled with the corresponding letter choice.
This document contains a 15 question multiple choice test covering topics in mathematics. The questions cover areas such as complex numbers, functions, geometry, limits, and equations. The correct answers are provided at the end for questions 1 through 15.
The document contains 15 multiple choice questions from an exam in Brazil. The questions cover topics in mathematics including geometry, trigonometry, algebra, and calculus.
This document contains 16 multiple choice questions from an exam on various math and logic topics:
1. The value of an expression involving sums and differences of powers of 2 is between 114 and 117.
2. One statement about graphs of two real functions f and g is correct.
3. For functions f, g, and h to have the composite function h∘g∘f have domain R, a condition on m must be met.
The document then provides the answers to each question.
The document contains 25 multiple choice questions about arithmetic progressions. The questions cover topics such as determining terms in an arithmetic sequence, calculating sums and differences of terms, and identifying patterns in sequences of numbers or geometric shapes that follow an arithmetic progression.
This document contains 27 multiple choice questions about calculating areas of geometric shapes such as triangles, rectangles, circles, and composite figures. The questions provide diagrams of the shapes along with measurements and ask the reader to determine the area based on the information given.
The document contains a 20 question multiple choice exam covering various topics in mathematics and geometry. For each question, there are 5 potential answer choices labeled a-e. The questions cover topics such as functions, complex numbers, limits, integrals, geometry, and probability. At the end, a key is provided indicating the correct answer for each question.
The document contains 20 multiple choice questions about functions. Each question provides context about a function or functions, such as their definitions, graphs, or properties. The questions then ask the examinee to determine properties of the functions or choose the best representation of a function based on the information provided.
This document contains a test with 16 multiple choice questions covering various topics in mathematics. The questions assess knowledge of functions, geometry, probability, matrices, and data analysis. The correct answers are provided at the end.
This document contains 13 math problems related to geometry, algebra, and other topics. Some key details:
- Problem 1 involves finding parameters of linear functions relating shoe size and length for Brazil and the US.
- Problem 2 analyzes data from Felix Baumgartner's skydive record, calculating velocity at a given time and when he broke the sound barrier.
- Problem 3 involves matrix multiplication and finding the value of a parameter for a system of equations to have a solution.
- Problems 4-6 cover marketing discounts on course enrollments, volume calculations for a pool with dimensions in geometric progression, and nutrient content relationships in fertilizers.
- Later problems analyze triangles, polynomials,
The document contains 15 multiple choice questions about lines, planes, triangles, and other geometric concepts. Some key details are:
- Questions ask about finding equations of lines and planes, properties of triangles like circumscribed circles and distances between points, and determining coordinates of missing vertices.
- Geometry concepts tested include lines, planes, triangles, parabolas, progressions, and distances.
- The answer key is provided at the end listing the correct choice for each question.
This document provides 30 multiple choice questions for a JEE mathematics exam. It includes instructions that there are 4 marks for each correct answer, a deduction of 1 mark for incorrect answers, and no deduction for unanswered questions. The maximum total marks are 120. The questions cover topics in trigonometry, coordinate geometry, calculus, matrices and other areas of mathematics.
This document contains a 16 question multiple choice test covering topics in mathematics. The questions involve solving word problems related to ratios, percentages, geometry, algebra and other mathematical concepts. Correct answers are provided for each question at the end.
The document contains 12 math problems from a Brazilian university entrance exam (Unicamp 2014). Some key details:
- Problem 1 involves finding the 6th term of a harmonic progression and a property of harmonic progressions.
- Problem 2 concerns quadratic functions of the form f(x) = ax^2 + bx and their graphs.
- Problem 3 deals with modeling plant growth over time using logarithmic and composite functions.
- Problem 4 is about a water bill pricing scheme and sketching the associated cost function.
- The remaining problems cover topics like matrices, probability, geometry, polynomials, statistics, and consumer preferences for pizza types.
The document contains 20 multiple choice questions about functions. The questions cover topics such as:
- Analyzing graphs of functions and determining function values
- Finding maximums and minimums of functions
- Determining if functions are injective, surjective or inverse functions
- Calculating areas under graphs of functions
O documento apresenta 17 questões do Exame Nacional do Ensino Médio (ENEM) sobre diversos assuntos como: corrida de regularidade, monitoramento de substâncias no sangue, crescimento populacional de médicos, modelos predador-presa, crescimento exponencial de bactérias, ativação de rádio automotivo por código secreto e frequências de transmissão de aparelhos sem fio. As questões envolvem cálculos, interpretação de gráficos e tabelas e raciocínio sobre probabilidades.
O documento apresenta três questões sobre um teste realizado com um novo modelo de carro. A primeira questão descreve que 50 litros de combustível foram colocados no tanque do carro e ele foi dirigido em uma pista de testes até o combustível acabar. A segunda questão fornece um gráfico que relaciona a quantidade de combustível no tanque com a distância percorrida. A terceira questão pede a expressão algébrica que relaciona essas duas grandezas.
O documento descreve um fabricante que decidiu contratar o plano B de uma empresa de entregas, ao invés do plano A que havia escolhido inicialmente. O plano B tem taxa fixa mensal menor, mas taxa variável maior por quilograma enviado. Com 650kg a serem enviados, o plano B terá custo total menor do que o plano A.
O documento apresenta 16 questões do Exame Nacional do Ensino Médio (ENEM) sobre diversos assuntos como: estatística, física, geometria e probabilidade. As questões envolvem interpretação e análise de gráficos, cálculos, resolução de problemas e relações entre grandezas geométricas.
Este documento apresenta 15 questões sobre diversos assuntos como: salário comissionado, interação predador-presa, doenças relacionadas ao saneamento, depreciação de veículos, probabilidades, geometria espacial e volumes de sólidos geométricos. As questões envolvem interpretação e análise de gráficos, cálculos, raciocínio lógico e resolução de problemas.
O documento apresenta 19 questões do ENEM PPL de 2014 sobre diversos assuntos como física, química e matemática. As questões abordam tópicos como emissão de poluentes em veículos, crescimento bacteriano, probabilidade, geometria espacial e outros.
1) O documento apresenta 15 questões do ENEM PPL de 2013 sobre diversos assuntos como matemática, probabilidade e estatística.
2) As questões envolvem cálculos, interpretação de gráficos e tabelas para analisar problemas relacionados a produção industrial, vendas, financiamentos, jogos de azar e outros.
3) As respostas variam entre letras que indicam o resultado correto de cada questão após realizar os procedimentos matemáticos necessários.
1) O documento apresenta 15 questões do ENEM PPL de 2012 sobre diversos assuntos como probabilidades, estatística, geometria e física.
2) As questões envolvem cálculos e análises de gráficos, tabelas e figuras para responder sobre tópicos como produção de resíduos, vendas de produtos, taxas de abandono escolar, capacidade de lixeiras e propriedades geométricas de figuras.
3) São abordados também conceitos como acomodação ocular, convergência de lentes, á
Este documento contém 18 questões do Exame Nacional do Ensino Médio (ENEM) de 2017 sobre diversos assuntos como geometria, funções, probabilidade e estatística. As questões envolvem cálculos, interpretação de gráficos e tabelas e raciocínio lógico.
O documento relata sobre o Exame Nacional do Ensino Médio (ENEM) de 2009 que foi cancelado e traz 15 questões objetivas sobre diversos assuntos como probabilidade, geometria, estatística e análise combinatória.
O documento apresenta 18 questões do ENEM 2010 sobre diversos assuntos como: planejamento de treinos, estimativa de quantidade de estrelas para um painel, volumes de leite em reservatórios, desperdício de água por torneiras, uso de bicicletas compartilhadas, consumo de sacolas plásticas, escolha de estacionamentos, conta de água, necessidade diária de ferro e zinco por meio de alimentos, escolha de museus a visitar, estatísticas de chutes a gol, probabilidade em teste para detecção de
O documento apresenta 16 questões do Enem 2016 sobre diversos assuntos como matemática, física, probabilidade e estatística. As questões abordam tópicos como cálculo de áreas, sistemas lineares, funções exponenciais e probabilidades.
O documento contém 15 questões do Exame Nacional do Ensino Médio (ENEM) da segunda aplicação de 2014. As questões abordam tópicos como matemática, física, biologia, história e língua portuguesa.
O documento descreve os tipos sanguíneos e os resultados de um teste em 200 pessoas. 100 pessoas tinham o antígeno A, 110 o antígeno B e 20 nenhum. Portanto, o número de pessoas com tipo sanguíneo A é igual a 100.
O documento discute um problema de trânsito no Brasil relacionado ao consumo de bebidas alcoólicas por motoristas. Dados mostram que após mudanças no código de trânsito em 2013, como redução do limite de álcool no sangue e aumento de multas, houve queda no número de acidentes entre 2013 e 2015.
The document provides information about 12 multiple choice questions that appeared on the 2018 Brazilian National High School Exam (ENEM). The questions cover topics such as mathematics, statistics, geometry, probability, and other subjects. Specifically, the document provides the questions, answer options, and sometimes additional context or information needed to solve each question.
O documento apresenta 16 questões do Exame Nacional do Ensino Médio (ENEM) de 2017, cobrindo diversos assuntos como geometria, física, probabilidade e estatística. As questões envolvem interpretação e análise de gráficos, cálculos e resolução de problemas.
O documento descreve um problema de engenharia sobre a construção de uma galeria subterrânea para transporte de água entre uma fonte e um reservatório em uma cidade. Dois projetos são apresentados: um segmento de reta ou uma semicircunferência. Após cálculos, o projeto da semicircunferência levaria menos tempo para ser concluído.
Este documento apresenta 16 questões do Exame Nacional do Ensino Médio (ENEM) de 2015 sobre diversos assuntos como física, matemática, probabilidade e estatística. As questões envolvem cálculos, interpretação de gráficos e tabelas para analisar situações problemas.
[1] Um professor alterou as notas de uma prova usando uma função polinomial para compensar questões difíceis. [2] Uma pessoa recebeu propostas de planos de telefonia e pretende gastar R$30,00. [3] A figura mostra a trajetória de um balanço e a equação que a descreve.
The simplified electron and muon model, Oscillating Spacetime: The Foundation...RitikBhardwaj56
Discover the Simplified Electron and Muon Model: A New Wave-Based Approach to Understanding Particles delves into a groundbreaking theory that presents electrons and muons as rotating soliton waves within oscillating spacetime. Geared towards students, researchers, and science buffs, this book breaks down complex ideas into simple explanations. It covers topics such as electron waves, temporal dynamics, and the implications of this model on particle physics. With clear illustrations and easy-to-follow explanations, readers will gain a new outlook on the universe's fundamental nature.
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...PECB
Denis is a dynamic and results-driven Chief Information Officer (CIO) with a distinguished career spanning information systems analysis and technical project management. With a proven track record of spearheading the design and delivery of cutting-edge Information Management solutions, he has consistently elevated business operations, streamlined reporting functions, and maximized process efficiency.
Certified as an ISO/IEC 27001: Information Security Management Systems (ISMS) Lead Implementer, Data Protection Officer, and Cyber Risks Analyst, Denis brings a heightened focus on data security, privacy, and cyber resilience to every endeavor.
His expertise extends across a diverse spectrum of reporting, database, and web development applications, underpinned by an exceptional grasp of data storage and virtualization technologies. His proficiency in application testing, database administration, and data cleansing ensures seamless execution of complex projects.
What sets Denis apart is his comprehensive understanding of Business and Systems Analysis technologies, honed through involvement in all phases of the Software Development Lifecycle (SDLC). From meticulous requirements gathering to precise analysis, innovative design, rigorous development, thorough testing, and successful implementation, he has consistently delivered exceptional results.
Throughout his career, he has taken on multifaceted roles, from leading technical project management teams to owning solutions that drive operational excellence. His conscientious and proactive approach is unwavering, whether he is working independently or collaboratively within a team. His ability to connect with colleagues on a personal level underscores his commitment to fostering a harmonious and productive workplace environment.
Date: May 29, 2024
Tags: Information Security, ISO/IEC 27001, ISO/IEC 42001, Artificial Intelligence, GDPR
-------------------------------------------------------------------------------
Find out more about ISO training and certification services
Training: ISO/IEC 27001 Information Security Management System - EN | PECB
ISO/IEC 42001 Artificial Intelligence Management System - EN | PECB
General Data Protection Regulation (GDPR) - Training Courses - EN | PECB
Webinars: https://pecb.com/webinars
Article: https://pecb.com/article
-------------------------------------------------------------------------------
For more information about PECB:
Website: https://pecb.com/
LinkedIn: https://www.linkedin.com/company/pecb/
Facebook: https://www.facebook.com/PECBInternational/
Slideshare: http://www.slideshare.net/PECBCERTIFICATION
How to Add Chatter in the odoo 17 ERP ModuleCeline George
In Odoo, the chatter is like a chat tool that helps you work together on records. You can leave notes and track things, making it easier to talk with your team and partners. Inside chatter, all communication history, activity, and changes will be displayed.
This presentation was provided by Steph Pollock of The American Psychological Association’s Journals Program, and Damita Snow, of The American Society of Civil Engineers (ASCE), for the initial session of NISO's 2024 Training Series "DEIA in the Scholarly Landscape." Session One: 'Setting Expectations: a DEIA Primer,' was held June 6, 2024.
Strategies for Effective Upskilling is a presentation by Chinwendu Peace in a Your Skill Boost Masterclass organisation by the Excellence Foundation for South Sudan on 08th and 09th June 2024 from 1 PM to 3 PM on each day.
Walmart Business+ and Spark Good for Nonprofits.pdfTechSoup
"Learn about all the ways Walmart supports nonprofit organizations.
You will hear from Liz Willett, the Head of Nonprofits, and hear about what Walmart is doing to help nonprofits, including Walmart Business and Spark Good. Walmart Business+ is a new offer for nonprofits that offers discounts and also streamlines nonprofits order and expense tracking, saving time and money.
The webinar may also give some examples on how nonprofits can best leverage Walmart Business+.
The event will cover the following::
Walmart Business + (https://business.walmart.com/plus) is a new shopping experience for nonprofits, schools, and local business customers that connects an exclusive online shopping experience to stores. Benefits include free delivery and shipping, a 'Spend Analytics” feature, special discounts, deals and tax-exempt shopping.
Special TechSoup offer for a free 180 days membership, and up to $150 in discounts on eligible orders.
Spark Good (walmart.com/sparkgood) is a charitable platform that enables nonprofits to receive donations directly from customers and associates.
Answers about how you can do more with Walmart!"
Main Java[All of the Base Concepts}.docxadhitya5119
This is part 1 of my Java Learning Journey. This Contains Custom methods, classes, constructors, packages, multithreading , try- catch block, finally block and more.
বাংলাদেশের অর্থনৈতিক সমীক্ষা ২০২৪ [Bangladesh Economic Review 2024 Bangla.pdf] কম্পিউটার , ট্যাব ও স্মার্ট ফোন ভার্সন সহ সম্পূর্ণ বাংলা ই-বুক বা pdf বই " সুচিপত্র ...বুকমার্ক মেনু 🔖 ও হাইপার লিংক মেনু 📝👆 যুক্ত ..
আমাদের সবার জন্য খুব খুব গুরুত্বপূর্ণ একটি বই ..বিসিএস, ব্যাংক, ইউনিভার্সিটি ভর্তি ও যে কোন প্রতিযোগিতা মূলক পরীক্ষার জন্য এর খুব ইম্পরট্যান্ট একটি বিষয় ...তাছাড়া বাংলাদেশের সাম্প্রতিক যে কোন ডাটা বা তথ্য এই বইতে পাবেন ...
তাই একজন নাগরিক হিসাবে এই তথ্য গুলো আপনার জানা প্রয়োজন ...।
বিসিএস ও ব্যাংক এর লিখিত পরীক্ষা ...+এছাড়া মাধ্যমিক ও উচ্চমাধ্যমিকের স্টুডেন্টদের জন্য অনেক কাজে আসবে ...
How to Manage Your Lost Opportunities in Odoo 17 CRMCeline George
Odoo 17 CRM allows us to track why we lose sales opportunities with "Lost Reasons." This helps analyze our sales process and identify areas for improvement. Here's how to configure lost reasons in Odoo 17 CRM
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
Fuvest 2019 - fechada
1. FUVEST 2019 - FECHADA
1
01. (Fuvest 2019) Considere a função polinomial 𝑓𝑓: ℝ → ℝ definida por 2
f(x) ax bx c,
= + + em que 𝑎𝑎, 𝑏𝑏, 𝑐𝑐 ∈ ℝ e a 0.
≠
No plano cartesiano xy, a única intersecção da reta y 2
= com o gráfico de f é o ponto (2; 2) e a intersecção da reta
x 0
= com o gráfico de f é o ponto (0; 6).
− O valor de a b c
+ + é
a) 2
−
b) 0
c) 2
d) 4
e) 6
02. (Fuvest 2019) Se a função 𝑓𝑓: ℝ − {2} → ℝ é definida por
2x 1
f(x)
x 2
+
=
−
e a função 𝑔𝑔: ℝ − {2} → ℝ é definida por
g(x) f(f(x)),
= então g(x) é igual a
a)
x
2
b) 2
x
c) 2x
d) 2x 3
+
e) x
03. (Fuvest 2019) Um dono de restaurante assim descreveu a evolução do faturamento quinzenal de seu negócio, ao longo
dos dez primeiros meses após a inauguração: “Até o final dos três primeiros meses, tivemos uma velocidade de
crescimento mais ou menos constante, quando então sofremos uma queda abrupta, com o faturamento caindo à metade
do que tinha sido atingido. Em seguida, voltamos a crescer, igualando, um mês e meio depois dessa queda, o faturamento
obtido ao final do terceiro mês. Agora, ao final do décimo mês, estamos estabilizando o faturamento em um patamar
50% acima do faturamento obtido ao final do terceiro mês”. Considerando que, na ordenada, o faturamento quinzenal
está representado em unidades desconhecidas, porém uniformemente espaçadas, qual dos gráficos é compatível com a
descrição do comerciante?
a) b) c)
d) e)
2. FUVEST 2019 - FECHADA
2
04. (Fuvest 2019) Forma‐se uma pilha de folhas de papel, em que cada folha tem 0,1mm de espessura. A pilha é formada
da seguinte maneira: coloca‐se uma folha na primeira vez e, em cada uma das vezes seguintes, tantas quantas já houverem
sido colocadas anteriormente. Depois de 33 dessas operações, a altura da pilha terá a ordem de grandeza
a) da altura de um poste.
b) da altura de um prédio de 30 andares.
c) do comprimento da Av. Paulista.
d) da distância da cidade de São Paulo (SP) à cidade do Rio de Janeiro (RJ).
e) do diâmetro da Terra.
05. (Fuvest 2019) Uma seta aponta para a posição zero no instante inicial. A cada rodada, ela poderá ficar no mesmo lugar
ou mover‐se uma unidade para a direita ou mover‐se uma unidade para a esquerda, cada uma dessas três possibilidades
com igual probabilidade.
Qual é a probabilidade de que, após 5 rodadas, a seta volte à posição inicial?
a)
1
9
b)
17
81
c)
1
3
d)
51
125
e)
125
243
06. (Fuvest 2019 - Adaptada) Uma seta aponta para a posição zero no instante inicial. A cada rodada, ela poderá ficar no
mesmo lugar ou mover-se uma unidade para a direita ou mover-se uma unidade para a esquerda, cada uma dessas três
possibilidades com igual probabilidade.
Qual é a probabilidade de que, após 4 rodadas, a seta volte à posição inicial?
a)
1
81
b)
17
81
c)
19
81
d)
51
81
e)
75
81
3. FUVEST 2019 - FECHADA
3
07. (Fuvest 2019) Uma empresa estuda cobrir um vão entre dois prédios (com formato de paralelepípedos reto‐
retângulos) que têm paredes laterais paralelas, instalando uma lona na forma de um quadrilátero, com pontas presas nos
pontos A, B, C e D, conforme indicação da figura.
Sabendo que a lateral de um prédio tem 80 m de altura e 28 m de largura, que a lateral do outro prédio tem 60 m de
altura e 20 m de largura e que essas duas paredes laterais distam 15 m uma da outra, a área total dessa lona seria de
a) 2
300 m
b) 2
360 m
c) 2
600 m
d) 2
720 m
e) 2
1.200 m
08. (Fuvest 2019) A figura mostra uma escada maciça de quatro degraus, todos eles com formato de um paralelepípedo
reto‐retângulo. A base de cada degrau é um retângulo de dimensões 20 cm por 50 cm, e a diferença de altura entre o
piso e o primeiro degrau e entre os degraus consecutivos é de 10 cm.
Se essa escada for prolongada para ter 20 degraus, mantendo o mesmo padrão, seu volume será igual a
a) 3
2,1m b) 3
2,3 m c) 3
3,0 m d) 3
4,2 m e) 3
6,0 m
4. FUVEST 2019 - FECHADA
4
09. (Fuvest 2019) O gráfico mostra a evolução diária, em certo intervalo de tempo não especificado na abscissa, de dois
índices econômicos, normalizados para que suas médias, no mesmo período, sejam ambas iguais a 1. O valor do índice 1
no dia i é i
x e o valor do índice 2 no dia i é i
y . O gráfico ilustra como cada um dos índices i
x e i
y varia em função de i,
mostrando os pontos i
(i, x ) (pontos escuros) e i
(i, y ) (pontos claros).
Para entender melhor a relação entre os dois índices, um novo gráfico foi feito com os pares i i
(x , y ), isto é, com o índice
1 na abscissa contra o índice 2 na ordenada. O resultado foi
a) b) c) d) e)
10. (Fuvest 2019) Se 2 2
1 2
log y log x,
2 3
=
− + para x 0,
> então
a)
3 2
x
y
2
=
b)
3
x
y
2
=
c)
3 2
1
y x
2
=
− +
d)
3 2
y 2 x
= ⋅
e) 3
y 2x
=
5. FUVEST 2019 - FECHADA
5
11. (Fuvest 2019) Em uma família, o número de irmãs de cada filha é igual à metade do número de irmãos. Cada filho tem
o mesmo número de irmãos e irmãs.
O número total de filhos e filhas da família é
a) 4
b) 5
c) 7
d) 10
e) 15
12. (Fuvest 2019) Um triângulo retângulo com vértices denominados A, B e C apoia‐se sobre uma linha horizontal, que
corresponde ao solo, e gira sem escorregar no sentido horário. Isto é, se a posição inicial é aquela mostrada na figura, o
movimento começa com uma rotação em torno do vértice C até o vértice A tocar o solo, após o que passa a ser uma
rotação em torno de A, até o vértice B tocar o solo, e assim por diante.
Usando as dimensões indicadas na figura (AB 1
= e BC 2),
= qual é o comprimento da trajetória percorrida pelo vértice
B, desde a posição mostrada, até a aresta BC apoiar‐se no solo novamente?
a)
3
2
π
b)
3 3
3
π
+
c)
13
6
π
d)
3 3
2
π
+
e)
8 2 3
3
π
+
6. FUVEST 2019 - FECHADA
6
GABARITO
1 - B 2 - E 3 - E 4 - D 5 - B
6 - C 7 - C 8 - A 9 - B 10 - A
11 - C 12 - C