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What is precalculus practice?

While calculators are needed and often encouraged in calculus-level mathematics, precalculus is often done without the use of calculators to ensure that students have a thorough mastery of the basic concepts, and are not relying on the functions and programs present in most graphing calculators to compute problems.

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What is the equation for a heart graph?

Another option would be to solve the following sixth order algebraic equation: (x² + y² - 1)³ - x² y³ = 0. This equation represents a cross-section for y = 0 of a three-dimensional shape called the heart surface. Finally, a third heart-shaped curve can be defined as such: x = 16 sin³ t; y = 13 cos t - 5 cos (2 t) - 2 cos (3 t) - cos (4 t).

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What does quantitative data mean?

Quantitative research methods are most often used science, psychology and economics. Although quantitative data involves exact measurements, the data is still subject to variables. For example, a researcher gathering quantitative data on the financial earnings of a group of people may not have access to all financial documents, or some earnings may not be reported. However, quantitative data relies less on interpretation, so it is generally considered to be very accurate.\nQuantitative data is often analyzed using statistics to record the frequency of occurrences. This kind of data rarely resu..

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How do you add fractions with variables?

Find the lowest common denominatorThe lowest (or least) common denominator (LCD) of two fractions is the lowest common multiple (LCM) of both denominators. For example, if the expression adds 1/3 to 1/2, the LCD is 6, because 6 is the lowest number perfectly divisible by both 2 and 3.\n\nFor the expression 2/x + 3x/2, 2x is the LCD. Until the value of the variable is known, the lowest term perfectly divisible by both 2 and x is 2x.Change the numerator to fit the new denominatorA fraction's value is not affected when its numerator and denominator are multiplied by the same number. For exam..

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Where can you find a list of geometry terms and definitions from A to Z?

Annenberg Learner, at Learner.org, provides an alphabetically sorted index of key geometry terms. This website is a teacher resource for professional curriculum development and also contains geometry sessions, videos and support materials.\nDitutor provides an index of geometry terms. This website sorts the set of geometry terms both by letter and by subject, including angles geometry, geometry math, triangle geometry and plane geometry.

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What is the definition of the "altitude of a triangle"?

Altitudes may also lie outside a triangle. In a triangle with all three acute angles, all altitudes lie within the triangle. For an obtuse angled triangle, one or more altitudes may lie outside the triangle.\nThe altitudes of a triangle are useful when calculating the area of the triangle. The area of a triangle is half the product of its base and the corresponding altitude.\nAll three altitudes of a triangle intersect at a point called the orthocenter. The orthocenter may lie inside or outside the triangle.

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What are the factors of 81?

Every number is a factor of itself. The number one is a factor of every number. Thus, every number except 1 has at least two factors. Prime factors are numbers that are factors and prime at the same time. The number 81 has five factors but only one prime factor, the number 3. Factorization is very important in algebra.

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Are stop signs octagons or hexagons?

In North America, you will find stop signs to assist right of way for pedestrians and traffic. They are used in areas of towns and cities that are not large enough to warrant the use of traffic lights. Stop signs can be used alone or as part of a three-way or four-way stop.\nBoth hexagons and octagons can be irregular or regular. A regular shape has sides that are all equal in length. An irregular shape has sides of different lengths.

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What are the factors of 80?

Factorization is used in a variety of mathematical operations, including basic arithmetic, algebra, fractions, and to determine the greatest common factor shared by two numbers. Another type of factorization, prime factorization, is the process of determining which prime numbers to multiply together to get the desired number. Prime numbers are whole numbers greater than one that are evenly divisible only by 1 or itself. Examples of prime numbers include 2, 3, 5, 7, 11, 13, 17 and 23 because they are not evenly divisible by any other number except 1.\nA common method of determining factors is t..

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What is the dot product of parallel vectors?

If A and B represent two vectors, then the dot product is obtained by A.B. cos q, where "q" represents the angle between the two vectors. Thus, if the vectors are anti-parallel, q equals 180 degrees; cos 180 equals -1. If the two vectors are parallel, then q equals 0 degrees; cos 0 equals 1.

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