457038335 MATH IN THE Modern World ALL IN Source BY Jayson Lucena PDF

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MATH IN THE MODERN WORLDALL IN SOURCE BYJAYSON C. LUCENAThe most aesthetically pleasing proportion the ______________is approximated by the ratios of the Fibonacci numbers. = Golden RatioMathematics played a major role in the underpinnings of our world. Logical reasoning and critical thinking skills...

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MATH IN THE MODERN WORLD ALL IN SOURCE BY JAYSON C. LUCENA The most aesthetically pleasing proportion the ______________is approximated by the ratios of the Fibonacci numbers. = Golden Ratio Mathematics played a major role in the underpinnings of our world. Logical reasoning and critical thinking skills are required in any endeavor. = Mathematics is indespensible It is an ordered list of numbers called terms that may have repeated values. = Sequence To make predictions mathematical models can generate analysis and interpretation using existing data. = Mathematics for Prediction These are regular, repeated or recurring forms or designs which are commonly observed in natural objects such as six-fold symmetry of snowflakes, hexagonal structure and formation of honeycombs, tiger's stripes and hyena's spots. = Patterns Population growth and bacterial decay can be modeled by the exponential growth or decay formula. = Exponential Growth Model Population growth and bacterial decay can be modeled by the exponential growth or decay formula __________________. = A=Pert Natural objects and phenomenon behave by the underlying mathematical structure. Interactions and relationships of nature can be best described by mathematical equations = Mathematics for Control This sequence is formed by adding the the preceeding two numbers, starting with 0 and 1. = Fibonacci Sequence

A lot of events happening around us needed mathematical tools to help us in make sound analysis and better decisions. = Mathematics for Organization It refers to a statement such that first part assures that a certain object exists and is universal since its second part says that the question fulfills a specific property for everything of a specific kind. = Existential Universal Statement It refers to given elements a and b, the symbol (a,b) denotes the ordered pair consisting of a and b noting that a is the first element of the pair b is the second element .Any two ordered pairs (a,b) and (c,d) are said to be equal if and only if, a=c and b=d. = Ordered Pair It refers to given sets A and B denoted by A x B read as "A cross B" where the set of ordered pairs (a,b) where a is in A and b is in B. = Cartesian Product It refers to any two sets denoted by A and B such that every element of A is also an element of B then A is called subset of B, written A ⊆ B, = Subset Two functions are said to be equal if and only they have the same set of ordered pairs (x,y). = Equality of Functions When two sets form a collection of ordered pairs of (x,y) each of which coming from each set then it is said that x R y. = Relation It refers to a statement that is universal because its initial part says that a certain property is true for all objects of a given sort, and it is existential because its second part assets the presence of something. = Universal Existential Statement When two quantities x and y are related so that for some range of values of x the value of y is determined by that of x then we say that y is a function (f) of x. = Function It refers to a statement that is both universal and conditional which contains some variation of the words "for all" and conditional statements contain versions of the words "if-then". = Universal Conditional Statement It refers to denoting a set by enumerating all of its elements between braces. =&Set- Roster Notation It refers to any two sets denoted by A and B such that every element of A is also an element of B then A is called subset of B, written A B,

= Subset Natural objects and phenomenon behave by the underlying mathematical structure. Interactions and relationships of nature can be best described by mathematical equations = Mathematics for Control When two sets form a collection of ordered pairs of (x,y) each of which coming from each set then it is said that x R y. = Relation In Polygonal Numbers the Geometric shapes associated with numbers for square numbers is_______________________. = n2 Population growth and bacterial decay can be modeled by the exponential growth or decay formula __________________. =Pert To make predictions mathematical models can generate analysis and interpretation using existing data. = Mathematics for Prediction 4 The most aesthetically pleasing proportion the ______________is approximated by the ratios of the Fibonacci numbers. = Golden Ratio It is an ordered list of numbers called terms that may have repeated values. = Sequence It refers to a statement that is universal because its initial part says that a certain property is true for all objects of a given sort, and it is existential because its second part assets the presence of something. = Universal Existential Statement It refers to a statement that is both universal and conditional which contains some variation of the words "for all" and conditional statements contain versions of the words "if-then". = Universal Conditional Statement It refers to given sets A and B denoted by A x B read as "A cross B" where the set of ordered pairs (a,b) where a is in A and b is in ~ = Cartesian Product This sequence is formed by adding the the preceeding two numbers, starting with 0 and 1. = Fibonacci Sequence It is the numbers in a sequence separated by commas. = Term

Mathematics played a major role in the underpinnings of our world. Logical reasoning and critical thinking skills are required in any endeavor. = Mathematics is indespensible It refers to given sets A and B denoted by A x B read as "A cross B" where the set of ordered pairs (a,b) where a is in A and b is in B. = Cartesian Product Successful problems solvers uses a variety of techniques when they attempt to solve a problem. The following techniques are most useful: = Devise a plan These are regular, repeated or recurring forms or designs which are commonly observed in natural objects such as six-fold symmetry of snowflakes, hexagonal structure and formation of honeycombs, tiger's stripes and hyena's spots. = Patterns In Polygonal Numbers the Geometric shapes associated with numbers for square numbers is_______________________. =n2 It refers to a set44S4 and44P(x) be a property that elements of4S4may or may not satisfy. We may define a new set to be the set of all elements4x4in4S4such that4P(x) is true. The set is denoted as4 follows: {4x4∈ S|P(x)} = Set-Builder Notation Two functions are said to be equal if and only they have the same set of ordered pairs (x,y). = Equality of Functions When two sets form a collection of ordered pairs of (x,y) each of which coming from each set then it is said that x R y. = Relation Population growth and bacterial decay can be modeled by the exponential growth or decay formula __________________. =Pert When two quantities x and y are related so that for some range of values of x the value of y is determined by that of x then we say that y is a function (f) of x. = Function Population growth and bacterial decay can be modeled by the exponential growth or decay formula. = Exponential Growth Model It refers to a statement such that first part assures that a certain object exists and is universal since its second part says that the question fulfills a specific property for everything of a specific kind. = Existential Universal Statement

The type of reasoning where a conclusion is made by applying assumptions, procedures or principles. = Deductive reasoning It refers to the sum of the numbers divided by n. = Mean The mean for data set: 10,12,15,16.,8, 7 is =11.33 It is used to convert any formal distribution into the standard normal curve between them. = Standard deviation The mode for the data in #5 is = none It displays a data set by dividing the data into intervals, or, classes, and listing the number of data values that fail into each interval. = Frequency distribution It refers to a collection of numbers or values that relate to a particular subject. = Data set It refers to the middle number if n is odd for a ranked order list of numbers. = Median It refers to the number that occurs most frequently in a list of numbers. = Mode The median for the data in #5 is =12 The line that minimizes the sum of the squares of the vertical deviations from each data point to the line is referred to as the least-squares regression line, or leastsquares line for = Least-squares regression line A lot of events happening around us needed mathematical tools to help us in make sound analysis and better decisions. = Mathematics for Organization Elements a and b, the symbol (a,b) denotes the ordered pair consisting of a and b noting that a is the first element of the pair b is the second element .Any two ordered pairs (a,b) and (c,d) are said to be equal if and only if, a=c and b=d. = Ordered Pair In Polygonal Numbers the Geometric shapes associated with numbers for Pentagonal numbers is_______________________. = n(3n-1)/2

In Polygonal Numbers the Geometric shapes associated with numbers for Triangular numbers is_______________________. =n(n+1)/2 In Polygonal Numbers the Geometric shapes associated with numbers for square numbers is_______________________. =n2 It is an ordered list of numbers called terms that may have repeated values. =Sequence It is the numbers in a sequence separated by commas. =Term It is very important that once an answer was arrived it must be verified with regards to the given problem. Solutions must ensure that answers are consistent. =Review the solution It refers to a statement that is both universal and conditional which contains some variation of the words "for all" and conditional statements contain versions of the words "if-then". =Universal Conditional Statement It refers to a statement that is universal because its initial part says that a certain property is true for all objects of a given sort, and it is existential because its second part assets the presence of something. =Universal Existential Statement It refers to denoting a set by enumerating all of its elements between braces. =Set-Roster Notation It refers to given elements a and b, the symbol (a,b) denotes the ordered pair consisting of a and b noting that a is the first element of the pair b is the second element .Any two ordered pairs (a,b) and (c,d) are said to be equal if and only if, a=c and b=d. =Ordered Pair It refers to a statement such that first part assures that a certain object exists and is universal since its second part says that the question fulfills a specific property for everything of a specific kind. =Existential Universal Statement It refers to any two sets denoted by A and B such that every element of A is also an element of B then A is called subset of B, written A B, =Subset It refers to given sets A and B denoted by A x B read as "A cross B" where the set of ordered pairs (a,b) where a is in A and b is in ~ = Cartesian Product

Mathematics played a major role in the underpinnings of our world. Logical reasoning and critical thinking skills are required in any endeavor. =Mathematics is indespensible Natural objects and phenomenon behave by the underlying mathematical structure. Interactions and relationships of nature can be best described by mathematical equations =Mathematics for control Once a plan has been devised it must be carried out. = Carry out the plan Population growth and bacterial decay can be modeled by the exponential growth or decay formula. = Exponential Growth Model Population growth and bacterial decay can be modeled by the exponential growth or decay formula __________________. = Pert Successful problems solvers uses a variety of techniques when they attempt to solve a problem. The following techniques are most useful: =Devise a plan The most aesthetically pleasing proportion the ______________is approximated by the ratios of the Fibonacci numbers. = Golden Ratio The type of reasoning where a conclusion is made by applying assumptions, procedures or principles. =Deductive Reasoning The type of reasoning where a conclusion is made by means of specific examples. =Inductive reasoning These are regular, repeated or recurring forms or designs which are commonly observed in natural objects such as six-fold symmetry of snowflakes, hexagonal structure and formation of honeycombs, tiger's stripes and hyena's spots. =Sequence This sequence is formed by adding the the preceeding two numbers, starting with 0 and 1. = Fibonacci Sequence To be able to solve a problem, understanding what the problem asks for is very important. = Understand the problem To make predictions mathematical models can generate analysis and interpretation using existing data.

= Mathematics for prediction Two functions are said to be equal if and only they have the same set of ordered pairs (x,y). = Equality of Functions When two quantities x and y are related so that for some range of values of x the value of y is determined by that of x then we say that y is a function (f) of x. = function When two sets form a collection of ordered pairs of (x,y) each of which coming from each set then it is said that x R y. = Relation It refers to a set S and P(x) be a property that elements of S may or may not satisfy. We may define a new set to be the set of all elements x in S such that P(x) is true. The set is denoted as follows:4 { = Set-Builder Notation ~ Set- Roster Notation ~ Subset ~ Ordered Pair } = Set-Builder Notation This sequence is formed by adding the preceding two numbers, starting with 0 and 1. = Fibonacci Sequence To make predictions mathematical models can generate analysis and interpretation using existing data. = Mathematics for Prediction It refers to a statement that is both universal and conditional which contains some variation of the words "for all" and conditional statements contain versions of the words "if-then". = Universal Conditional Statement It refers to given sets A and B denoted by A x B read as "A cross B" where the set of ordered pairs (a,b) where a is in A and b is in B. = Cartesian Product To make predictions mathematical models can generate analysis and interpretation using existing data. = Mathematics for Prediction Mathematics played a major role in the underpinnings of our world. Logical reasoning and critical thinking skills are required in any endeavor.

= Mathematics is indispensible These are regular, repeated or recurring forms or designs which are commonly observed in natural objects such as six-fold symmetry of snowflakes, hexagonal structure and formation of honeycombs, tiger's stripes and hyena's spots. = Patterns When two quantities x and y are related so that for some range of values of x the value of y is determined by that of x then we say that y is a function (f) of x. = Function To be able to solve a problem, understanding what the problem asks for is very important. = Understand the problem It refers to given sets A and B denoted by A x B read as "A cross B" where the set of ordered pairs (a,b) where a is in A and b is in ~ = Cartesian Product Two functions are said to be equal if and only they have the same set of ordered pairs (x,y). = Equality of Functions Successful problems solvers uses a variety of techniques when they attempt to solve a problem. The following techniques are most useful: = Devise a plan This sequence is formed by adding the the preceeding two numbers, starting with 0 and 1. = Fibonacci Sequence It refers to any two sets denoted by A and B such that every element of A is also an element of B then A is called subset of B, written A B, = Subset Mathematics played a major role in the underpinnings of our world. Logical reasoning and critical thinking skills are required in any endeavor. = Mathematics is indispensible When two sets form a collection of ordered pairs of (x,y) each of which coming from each set then it is said that x R y. = Relation

The most aesthetically pleasing proportion the ______________is approximated by the ratios of the Fibonacci numbers. = Golden Ratio When two quantities x and y are related so that for some range of values of x the value of y is determined by that of x then we say that y is a function (f) of x. = Function It refers to given elements a and b, the symbol (a,b) denotes the ordered pair consisting of a and b noting that a is the first element of the pair b is the second element .Any two ordered pairs (a,b) and (c,d) are said to be equal if and only if, a=c and b=d. = Set-Builder Notation In Polygonal Numbers the Geometric shapes associated with numbers for Triangular numbers is_______________________. = n (n+1)/2 A lot of events happening around us needed mathematical tools to help us in make sound analysis and better decisions. = Mathematics for Organization The type of reasoning where a conclusion is made by applying assumptions, procedures or principles. = Deductive reasoning In Polygonal Numbers the Geometric shapes associated with numbers for Pentagonal numbers is_______________________. = n(3n-1)/2 Once a plan has been devised it must be carried out. = Carry out the plan These are regular, repeated or recurring forms or designs which are commonly observed in natural objects such as six-fold symmetry of snowflakes, hexagonal structure and formation of honeycombs, tiger's stripes and hyena's spots. = Patterns To be able to solve a problem, understanding what the problem asks for is very important. = Understand the problem

The type of reasoning where a conclusion is made by means of specific examples. = Inductive reasoning It refers to a statement that is universal because its initial part says that a certain property is true for all objects of a given sort, and it is existential because its second part assets the presence of something. = Universal Existential Statement In Polygonal Numbers the Geometric shapes associated with numbers for square numbers is_______________________. = n2 The median for the data in #5 is =11 It refers to the sum of the numbers divided by n. =MEAN The line that minimizes the sum of the squares of the vertical deviations from each data point to the line is referred to as the least-squares regression line, or leastsquares line for =LEAST-SQUARES REGRESSION LINE It displays a data set by dividing the data into intervals, or, classes, and listing the number of data values that fail into each interval. =FREQUENCY DISTRIBUTION It is a bell-shaped curve that is symmetric when you draw a vertical line through the mean. =NORMAL The mode for the data in #5 is =NONE It refers to the number that occurs most frequently in a list of numbers. =MODE The mean for data set: 10,12,15,16.,8, 7 is =11.33 It refers to a collection of numbers or values that relate to a particular subject. =DATA SET It refers to the middle number if n is odd /even for a ranked order list of numbers. =MEDIAN It refers to the bond rate or coupon rate =NOMINAL VALUE If money is worth 4% compounded monthly ,what payment at the end of each

quarter will replace payments of Php 500.00 monthly =1.505.00 The process of determining the current value of a bond =BOND VALIDATION Which is regarded as an annuity? =MONTHLY RENTAL It represents the interest earned date or coupon date also referred to as coupon annuity payments =PERIODIC PAYMENT It is an interest bearing contract which obligates the borrower to make payments of interest and principal on specific dates to the holder of the bond =BOND Natural objects and phenomenon behave by the underlying mathematical structure. Interactions and relationships of nature can be best described by mathematical equations =mathematics is indespensible

It is an ordered list of numbers called terms that may have repeated values =SEQUENCE These are regular, repeated or recurring forms or designs which are commonly observed in natural objects such as six-fold symmetry of snowflakes, hexagonal structure and formation of honeycombs, tiger's stripes and hyena's spots. =PATTERNS This sequence is formed by adding the the preceeding two numbers, starting with 0 and 1. =Fibonacci sequence Mathematics played a major role in the underpinnings of our world. Logical reasoning and critical thinking skills are required in any endeavor. =Mathematics is indespensible The most aesthetically pleasing proportion the ______________is approximated by the ratios of the Fibonacci numbers. =Golden Ratio Population growth and bacterial decay can be modeled by the exponential growth or decay formula.