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Text
after x weeks.
BACTERIA PRODUCES 6% EVERY MINUTE. IF... This is similar compound interest. total bacteria after 12 min = 100(1+6/100)^12 = 100 (1.06)^12 =201.2 1. TEN LAMPS CAN BURN 10 LITERS OF... Let 'v' represent the rate of burning per lamp in liters per hour. 10v = 10/10. 10v = 1. v = 1/10 liter per hour. Let 'n' represent the number of lamps that burn 20 liters in 20 hours. AN ENTERTAINMENT FIRM OFFERS SEVERAL... An entertainment firm offers several DJ choices and ligh shows that range in price based on the rental time period. The DJ's cost between $219.00 and $369.00 per night and the light shows cost between $159.00 and $309.00 per night. THE COST PER PERSON TO RENT A... The cost per person to rent a chartered bus varies inversely to the number of people who red the bus. If 40 people pay $9.50 each to ride the chartered bus, what is the cost pet person if only 25 people go? A 50 N.M TORQUE ACTS ON A WHEEL OF... A 50 N.m torque acts on a wheel of moment of inertia 150 kg.m^2. If the wheel starts from rest,how long will it take the wheel to make onerevolution?
SOPHIA IS 8 YEARS OLDER THAN LILA.... let. s = the age of Sophia now. l = the age of Lila now. Sophia is 8 years older than Lila: s = 8 + l. 20 years ago Sophia was three timesas old as Lila:
JOHN IS CONSIDERING ACCEPTING ONE OF... john is considering accepting one of two sale positions. ABC company offers a yearly salery pf 45000. XYZ company offers a yearly salary of 38000 plus a 2% annual commission on sales. for what amount of sales s is the salary at XYZ company greater than the salary at ABC company? A COMPANY BEGINS A RADIO ADVERTISING... A company begins a radio advertising campaign in a city to market a new CD-ROM video game. The percentage of the target market that buys a game is given by the function, f(t)=100−e^0.06t , where t is the number of days of the campaign and f(t) is a percent. YOUR BEDROOM CEILING IS 10 FEET HIGH... Your bedroom ceiling is 10 feet high and is 2/3 as high as the living room ceiling. Write and solve an equation to find the height h of the living room ceiling. LUCY AND BARBARA BEGAN SAVING MONEY... Lucy and Barbara began saving money the same week. The table below shows that models for the amount of money Lucy and Barbara have savedafter x weeks.
BACTERIA PRODUCES 6% EVERY MINUTE. IF... This is similar compound interest. total bacteria after 12 min = 100(1+6/100)^12 = 100 (1.06)^12 =201.2 1. TEN LAMPS CAN BURN 10 LITERS OF... Let 'v' represent the rate of burning per lamp in liters per hour. 10v = 10/10. 10v = 1. v = 1/10 liter per hour. Let 'n' represent the number of lamps that burn 20 liters in 20 hours. AN ENTERTAINMENT FIRM OFFERS SEVERAL... An entertainment firm offers several DJ choices and ligh shows that range in price based on the rental time period. The DJ's cost between $219.00 and $369.00 per night and the light shows cost between $159.00 and $309.00 per night. THE COST PER PERSON TO RENT A... The cost per person to rent a chartered bus varies inversely to the number of people who red the bus. If 40 people pay $9.50 each to ride the chartered bus, what is the cost pet person if only 25 people go? A 50 N.M TORQUE ACTS ON A WHEEL OF... A 50 N.m torque acts on a wheel of moment of inertia 150 kg.m^2. If the wheel starts from rest,how long will it take the wheel to make onerevolution?
SOPHIA IS 8 YEARS OLDER THAN LILA.... let. s = the age of Sophia now. l = the age of Lila now. Sophia is 8 years older than Lila: s = 8 + l. 20 years ago Sophia was three timesas old as Lila:
JOHN IS CONSIDERING ACCEPTING ONE OF... john is considering accepting one of two sale positions. ABC company offers a yearly salery pf 45000. XYZ company offers a yearly salary of 38000 plus a 2% annual commission on sales. for what amount of sales s is the salary at XYZ company greater than the salary at ABC company? A COMPANY BEGINS A RADIO ADVERTISING... A company begins a radio advertising campaign in a city to market a new CD-ROM video game. The percentage of the target market that buys a game is given by the function, f(t)=100−e^0.06t , where t is the number of days of the campaign and f(t) is a percent. YOUR BEDROOM CEILING IS 10 FEET HIGH... Your bedroom ceiling is 10 feet high and is 2/3 as high as the living room ceiling. Write and solve an equation to find the height h of the living room ceiling. MOST RECENTLY ANSWERED WORD PROBLEMS A population of bacteria is growing according to the equation P(t)=1600e0.21t , with t measured in years. Estimate MOST RECENTLY ANSWERED WORD PROBLEMS The rectangle shown has width x feet, and its length is five feet longer than its width.The expression which A TRAIN NEEDS 4 HOURS TO GO FROM THE... A train needs 4 hours to go from the first station to the second. If the third station is 120 miles away and the total travel time must be no more than 7 hours, write an inequality that would let you find the slowest average speed, v, the train could have. AN ENTERTAINMENT FIRM OFFERS SEVERAL... An entertainment firm offers several DJ choices and ligh shows that range in price based on the rental time period. The DJ's cost between $219.00 and $369.00 per night and the light shows cost between $159.00 and $309.00 per night. RAYMOND JUST GOT DONE JUMPING AT... Raymond just got done jumping at Super Bounce Trampoline Center. The total cost of his session was $43.25. He had to pay a $7 entrance fee and $1.25 for every minute he was on the trampoline. FIND A BANK ACCOUNT BALANCE IF THE... find a bank account balance if the account starts with $100, has an annual rate of 4%, and money left in the account for 12 years THE COST PER PERSON TO RENT A... The cost per person to rent a chartered bus varies inversely to the number of people who red the bus. If 40 people pay $9.50 each to ride the chartered bus, what is the cost pet person if only 25 people go? HOW MANY DIFFERENT QUADRILATERALS CAN... We need to find the number of 4-combination of a set of 10 elements: C(10, 4) = 10!/(4!(10 - 4)!) = (7*8*9*10)/(2*3*4) = 210. Each set of 4 points forms 2 different quadrilaterals therefor: A COMPANY BEGINS A RADIO ADVERTISING... A company begins a radio advertising campaign in a city to market a new CD-ROM video game. The percentage of the target market that buys a game is given by the function, f(t)=100−e^0.06t , where t is the number of days of the campaign and f(t) is a percent. AN ALLIGATOR'S TAIL LENGTH, T, VARIES... An alligator's tail length, T, varies directly as its body length, B means. T = kB, where k is constant. An alligator with a body length of 4.5 feet has a tail length of 4 feet: LUCY AND BARBARA BEGAN SAVING MONEY... 10a + 5 = 7.5a + 55. by solving the equation we find. a = 20 weeks. click here to see the step by step solution of the equation. Click to see all the steps. After 20 weeks Lucy's and Barbara's savings will be the same. also, if we draw the graph for the functions f (x)=10x+5 and g (x)=7.5x+55 the intersection on the graphs gives the solution. AN ENTERTAINMENT FIRM OFFERS SEVERAL... An entertainment firm offers several DJ choices and ligh shows that range in price based on the rental time period. The DJ's cost between $219.00 and $369.00 per night and the light shows cost between $159.00 and $309.00 per night. If you are booking both a DJ and a light show, write a compound inequality that represents the possible total A20 FOOT LADDER LEANS AGAINST A WALL... Answer provided by our tutors. Solution:the ladder is 20 foot, and distance between ladder and building is 8 foot, so this forms a right triangle, Set the angle is X. So the cosine rate is cos X = 8/20 =0.4, X = 66.4°. The Angle is 66.4° between ladder and ground. 1. TEN LAMPS CAN BURN 10 LITERS OF... Let 'v' represent the rate of burning per lamp in liters per hour. 10v = 10/10. 10v = 1. v = 1/10 liter per hour. Let 'n' represent the number of lamps that burn 20 liters in 20 hours. A BASKET CONTAINS 6 APPLES AND5... A basket contains 6 apples And5 oranges determine whether the events of picking an apple first and then an orange without replacement are independent or dependent. Then identify the oneicated probability. JOHN IS CONSIDERING ACCEPTING ONE OF... john is considering accepting one of two sale positions. ABC company offers a yearly salery pf 45000. XYZ company offers a yearly salary of 38000 plus a 2% annual commission on sales. for what amount of sales s is the salary at XYZ company greater than the salary at ABC company? A COMPANY BEGINS A RADIO ADVERTISING... A company begins a radio advertising campaign in a city to market a new CD-ROM video game. The percentage of the target market that buys a game is given by the function, f(t)=100−e^0.06t , where t is the number of days of the campaign and f(t) is a percent. A SCIENTIST HAS TWO SOLUTIONS, WHICH... A scientist has two solutions, which she has labeled solution A and solution B. Each contains salt. She knows that solution A is 45% salt and solution B is 95% salt. She wants to obtain 80 ounces of a mixture that is 65% salt. How many ounces of each solution should she use? YOUR BEDROOM CEILING IS 10 FEET HIGH... Your bedroom ceiling is 10 feet high and is 2/3 as high as the living room ceiling. Write and solve an equation to find the height h of the living room ceiling. BACTERIA PRODUCES 6% EVERY MINUTE. IF... Answer provided by our tutors. This is similar compound interest. total bacteria after 12 min = 100 (1+6/100)^12. = 100 (1.06)^12=201.2.
LUCY AND BARBARA BEGAN SAVING MONEY... 10a + 5 = 7.5a + 55. by solving the equation we find. a = 20 weeks. click here to see the step by step solution of the equation. Click to see all the steps. After 20 weeks Lucy's and Barbara's savings will be the same. also, if we draw the graph for the functions f (x)=10x+5 and g (x)=7.5x+55 the intersection on the graphs gives the solution. AN ENTERTAINMENT FIRM OFFERS SEVERAL... An entertainment firm offers several DJ choices and ligh shows that range in price based on the rental time period. The DJ's cost between $219.00 and $369.00 per night and the light shows cost between $159.00 and $309.00 per night. If you are booking both a DJ and a light show, write a compound inequality that represents the possible total A20 FOOT LADDER LEANS AGAINST A WALL... Answer provided by our tutors. Solution:the ladder is 20 foot, and distance between ladder and building is 8 foot, so this forms a right triangle, Set the angle is X. So the cosine rate is cos X = 8/20 =0.4, X = 66.4°. The Angle is 66.4° between ladder and ground. 1. TEN LAMPS CAN BURN 10 LITERS OF... Let 'v' represent the rate of burning per lamp in liters per hour. 10v = 10/10. 10v = 1. v = 1/10 liter per hour. Let 'n' represent the number of lamps that burn 20 liters in 20 hours. A BASKET CONTAINS 6 APPLES AND5... A basket contains 6 apples And5 oranges determine whether the events of picking an apple first and then an orange without replacement are independent or dependent. Then identify the oneicated probability. JOHN IS CONSIDERING ACCEPTING ONE OF... john is considering accepting one of two sale positions. ABC company offers a yearly salery pf 45000. XYZ company offers a yearly salary of 38000 plus a 2% annual commission on sales. for what amount of sales s is the salary at XYZ company greater than the salary at ABC company? A COMPANY BEGINS A RADIO ADVERTISING... A company begins a radio advertising campaign in a city to market a new CD-ROM video game. The percentage of the target market that buys a game is given by the function, f(t)=100−e^0.06t , where t is the number of days of the campaign and f(t) is a percent. A SCIENTIST HAS TWO SOLUTIONS, WHICH... A scientist has two solutions, which she has labeled solution A and solution B. Each contains salt. She knows that solution A is 45% salt and solution B is 95% salt. She wants to obtain 80 ounces of a mixture that is 65% salt. How many ounces of each solution should she use? YOUR BEDROOM CEILING IS 10 FEET HIGH... Your bedroom ceiling is 10 feet high and is 2/3 as high as the living room ceiling. Write and solve an equation to find the height h of the living room ceiling. BACTERIA PRODUCES 6% EVERY MINUTE. IF... Answer provided by our tutors. This is similar compound interest. total bacteria after 12 min = 100 (1+6/100)^12. = 100 (1.06)^12=201.2.
MOST RECENTLY ANSWERED WORD PROBLEMS A population of bacteria is growing according to the equation P(t)=1600e0.21t , with t measured in years. Estimate MOST RECENTLY ANSWERED WORD PROBLEMS Paige needs to rent a car while on vacation. The rental company charges $18.95, plus 16 cents for each mile driven. MOST RECENTLY ANSWERED WORD PROBLEMS The rectangle shown has width x feet, and its length is five feet longer than its width.The expression which MOST RECENTLY ANSWERED WORD PROBLEMS a plane flies 430 miles with the wind and 340 miles against the wind in the same length of time. if the speed of the A BASKET CONTAINS 6 APPLES AND5... A basket contains 6 apples And5 oranges determine whether the events of picking an apple first and then an orange without replacement are independent or dependent. Then identify the oneicated probability. RAYMOND JUST GOT DONE JUMPING AT... Raymond just got done jumping at Super Bounce Trampoline Center. The total cost of his session was $43.25. He had to pay a $7 entrance fee and $1.25 for every minute he was on the trampoline. Write an equation to determine the number of minutes (t)that Raymond was on thetrampoline.
AN AIRCRAFT FACTORY MANUFACTURES... An aircraft factory manufactures airplane engines. The unit cost C. (the cost in dollars to make each airplane engine) depends on the number of engines made. If x engines are made, then the unit cost is given by the function C (x)=x^2-560x+94,717. How many IF THE SIDES OF A PARALLELOGRAM AND... Angle A = 180 - 100. Angle A = 80. Using the The Law of Cosines we have. d^2 = a^2 + b^2 - 2ab cos (Angle A) d^2 = 6^2 + 10^2 - 2*6*10* (cos (80)) by solving we find. d = 10.73. click here to see the step by step solution of the equation. The length of the shorter diagonalis 10.73.
ON AVERAGE, A BABY USES THREE TIMES... Problema Solution. On average, a baby uses three times the number of large diapers as small diapers and double the number of medium diapers as small diapers. If the average baby uses 2,940 diapers, size large and small, how many of each size would be used? Support your answerwith equations.
HOW MANY DIFFERENT QUADRILATERALS CAN... Each set of 4 points forms 2 different quadrilaterals therefor: 2*21 = 420. We can make 420 different quadrilaterals.English | Español
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©Copyright 1998 - 2019 Softmath All rights reserved. GLOSSARY SOME REGULARLY USED MATH TERMSPARABOLA
:a
conic section. The set of points in a plane that are the same distance from a given point and a given line in that plane. The given line is called the directrix, and the given point is called the focus.GRADE
:-
the tilt of a real-life object in relation to the horizontal, often used to determine how steep a hill isCOMMON FACTOR
:a
number that is a factor of each of two or more different numbers.GRAPH
:A
type of drawing used to represent data.ADDING INTEGERS
:To
ADD integers with the same sign, add their absolute values. Give the result the same sign as the integers. To ADD integers with different signs, SUBTRACT the lesser absolute value from the greater absolute value. Give the result the same sign as the integer with the greaterabsolute value.
QUADRATIC EQUATION
:A
quadratic equation is of the form ax^2+bx+c=0 where a, b, and c areconstants.
ALGEBRA
:Most
simply stated in an elementary setting, algebra is the study of generalizations of arithmetic.RATIONAL EXPRESSION
:A
rational expression is the quotient of two polynomials.WORK
:The
physics term for the amount of energy required to move an object over a given path subject to a given force.CALCULATOR
:What
is it? A machine used for computation.RATIONAL EXPRESSION
:A
rational expression is the quotient of two polynomials.ALGEBRA
:The
substitution of symbols and letters for numerical variables and constants. These symbols can be manipulated in the same way as numbers and form the basis for most mathematical calculations.ALGEBRA
:the
branch of mathematics that uses both letters and numbers to show relations between quantities.CALCULATOR
:n.
a machine used for computation possibly having computer ability.TRIGONOMETRY
:Trigonometry
is the study of the relationships between the angles and the sides ofa right triangle.
VARIABLE EXPRESSION
:An
expression that contains a variable.TABLE
:Another
way of saying times tables.SQUARE ROOT
:If
x^2 = y. then x is a square root of y.APPLICATION
:n. a use.
PERIMETER
:The
distance around the boundary of a two-dimensional shape.SUBTRACT
:Take
away one number from another to find the quantity left; represented bythe symbol -.
SUBTRACTION
:What
is it? A mathematical operation based on taking away or comparing (How much more?). The number being subtracted is called the subtrahend; the number it is subtracted from is called the minuend; the result of subtraction is called the difference. In 45 12 LEAST COMMON DENOMINATOR:the
smallest number, other than zero, that is a multiple of 2 or moregiven numbers.
COMBINING LIKE TERMS:The
process of adding or subtracting like terms.ALGEBRA
:Algebra
is a branch of mathematics that deals in representing numbers through variables. Algebra also deals with symbols, relations, functions, andequations.
ALGEBRA
:The
branch of mathematics which extends operations, relations, and principles of literal (variable) quantities.PROBLEM :1. n.
a question to be answered or considered. EX. Do problems one through six in your books tonight. 2. n. a difficult point or situation or individual. 3. adj. describing a difficult situation. EX. My son is not a problem child.FORMULA
:A
formula is a sentence expressed symbolically showing the mathematical relationships among variables.FORMULA
:Rule
or method that is accepted as true and used over and over in commonapplications.
LINE
:A
continuous extent of length containing two or more pointsEQUATION
:A
mathematical sentence that uses the equal sign (=) to show that two expressions are equal.EQUATION :a
mathematical sentence (e.g., 2x = 10) that equates one expression (2x) to another expression (10).FRACTION
:Any
number that can be written in the form a/b where a and b are whole numbers and b cannot equal 0.LINEAR EQUATION
:An
equation of the form ax+by=c; its graph is a line in the coordinateplane.
PROBLEM SOLVING
:Solving
a problem using mathematics.CHART :What
is it? A diagram that illustrates information in the form of a table,graph, or picture.
INEQUALITY
:A
mathematical sentence comparing two quantities that are not equal is called an inequality.DECIMAL
:Based
on 10 Example: the numbers we use in everyday life are decimal numbers, because there are 10 of them (0,1,2,3,4,5,6,7,8 and 9). Often "decimal number" is also used to mean a number that uses a decimal point followed by digits as a way of showing values less than one. Example: 1.9 is a decimal number (one and nine tenths)SIMPLIFY
:To use
the rules of arithmetic and algebra to rewrite an expression as simplyas possible.
SIMULTANEOUS EQUATIONS:See
under system of (simultanwous) equations.ONE STEP EQUATION
:An
equation or inequality that can be solved in one step or action. FIRST ORDER DIFFERENTIAL EQUATION:An
ordinary differential equation of order 1. That is, a differential equation in which the highest derivative is a first derivative. For example, y' + xy = 1 is a first order differential equation. ALGEBRAIC EXPRESSION:An
expression that contains a variable alone or with numbers andoperation symbols.
SUBTRACTION
:an
operation that tells the difference between two numbers or how many are left when some are taken away.ALGEBRA
:Algebra
is the branch of mathematics that uses letters, symbols, and/or characters to represent numbers and express mathematical relationships. Those symbols are called VARIABLES.FRACTION
:Fractions
are rational numbers which a ration of an two integers a/b (b cannot be 0). You can think of fractions as dividing a pie into pieces. Each piece of pie is a fraction of a pie. The bottom number b (the denominator) divides the size of the piece of pie and the top number (a) defines how many pieces of pie you have.CALCULATOR
:What
is it? A machine for performing arithemtical calculations.RADICAL FUNCTION
:Any
function whose equation is also a radical equation. DIFFERENTIAL EQUATION:A
differential equation is an equation involving the first or higher derivatives of the function to be solved for. If the equation only involves first derivatives it is called an equation of order one, and so on. If only n-th powers of the derivatives are involved, the equation is said to have degree n. Equations of degree one are called linear. Equations in only one variable are called ordinary differential equations to distinguish them from partial differentialequations.
SQUARE ROOT
:8
is called a square root of 64 because 8 x 8 = 64. But -8 is also a square root of 64 as -8 x -8 = 64. Every positive number has two square roots, one positive and one negative. 841 let say has 29 and -29 as its square roots because 29 x 29 = 841 and -29 x -29 = 841. In general m is called a square root of a number N if m x m = N, and then it will always be true that -m is also a square root. The Notation ??N can be used for the positive square root of a number. Note that thepositive squa
NEGATIVE INTEGER
:Any
integer less than zero.RATIONAL EXPRESSION
:An
expression with fractions, especially when there is a variable in the denominator. The variable can not make the denominator equal to zero.ALGEBRA
:What
is it? Algebra is the branch of mathematics that uses letters, symbols, and/or characters to represent numbers and express mathematical relationships. Those symbols are called variables.SUPER
:A
prefix that means that a mathematical structure is analogous to supersymmetry. Typically these structures have commuting and anticommmuting variables that are placed on an equal footing. For example, a supermanifold has anticommuting supercoordinates along with the usual commuting coordinates of its coordinate charts.SIMPLE FRACTION
:A
fraction where the numerator and denominator are both integers. Also known as a common or vulgar fraction.ALGEBRA
:Algebra
is the study of generalized arithmetic. In algebra, unknown numbers can be represented by letters in order to solve equations. For example, 4 + x = 10 is true for x=6. Algebra (originally called al-jabr, meaning "restoration") was invented in the Middle East by Abu Ja'far Muhammad ibn Musa Al-Khwarizmi (born in Baghdad about AD 825) during the Middle Ages.EXPONENT
:a
small figure placed to the upper-right of a number showing the number of times to multiply that number by itselfFACTORING
:Finding
what to multiply to get an expression. (Called Factorizing in British English.) Example: 2y+6 = 2(y+3), so the factors of 2y+6 are 2 and(y+3)
SQUARE ROOT
:The
square root of x is the number that, when multiplied by itself, givesthe number x .
ALGEBRA
:area
of math dealing in representing numbers with lettersMATH :The grammar
of size (amount), shape, and/or order. (according to Lancelot Hogben in Mathematics for the Million) The study and description of patterns A way to describe measurements of reality in symbols There are many other ways to define, describe, and use math. No one can name them all, but it is fun and deeply satisfying to investigate them.ALGEBRA
:The
study of equations using variables. At Capitan High School, the study of algebra is broken into Algebra 1 and Algebra 2.EXPRESSION A
:collection
of constants, variables, symbols of operations, and grouping symbols.PERCENT :A
ratio or fraction where the denominator is always assumed to be 100.EQUATION
:a
balanced relationship between numbers and/or symbols. A mathematicalsentence.
ABSOLUTE VALUE
:The
distance of a number from zero on a number line. Since distance is always thought of as positive, the absolute value of any number isalways positive.
ALGEBRA
:What
is it? A branch of mathematics in which variables are substituted for unknown values to solve a particular problem.SOLVE AN EQUATION
:To
find the value of a variable that makes an equation true.STEP FUNCTION
:A
step function is a special type of function whose graph is a series of line segments. The graph of a step function looks like a series ofsmall steps.
RADICAL
:A
square root sign or any other root, like a cube root or fourth root.ALGEBRA
:area of
math dealing in representing numbers with lettersEXPANSION
:-
a size change where k is greater than 1TRIG SUBSTITUTION
:A
method for computing integrals often used when the integrand contains expressions of the form a^2 ?C x^2, a^2 + x^2, or x^2 ?C a^2.SIMPLIFYING
:Reducing
to lowest terms.
SUBTRACTION
:The
inverse of addition.ALGEBRA
:An
algebra is a set which is both a ring and a vector space satisfying, of course various special properties or axioms.ALGEBRA
:a
language that helps translate real-life situations into mathematical form so that we can analyze change and answer the question "What if?VARIABLE
:A
letter used to represent a number whose value may change.MULTIPLY
:to
find the product of by multiplication.MULTI STEP EQUATION
:An
equation or inequality that requires two or more steps to solve.LINEAR COMBINATION
:An
equation that is formed by adding multiples of two equations together.Details
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