# Math

Q:

## What are some common Pythagorean triples?

A:

A Pythagorean triple is a set of three positive integers, (a, b, c), such that a right triangle can be formed with the legs a and b and the hypotenuse c. The most common Pythagorean triples are (3, 4, 5), (5, 12, 13), (8, 15, 17) and (7, 24, 25).

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• ## Algebra

• #### Q:How are quadratic equations used in everyday life?

A: Quadratic equations govern many real world situations such as throwing a ball, calculating certain prices, construction, certain motions and electronics. They are most often used to describe motion of some sort.
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• #### Q:What is a curved line?

A: According to Dictionary.com, a curved line is a type of line that continuously bends without any angles. In the United States, the curve is often portrayed as a central angle measured using degrees.
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• #### Q:What does equation mean?

A: The word "equation" is related to the word "equals" and generally describes a state of balance or equilibrium, according to Dictionary.com. Equations are commonly used in mathematics and chemistry.
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• #### Q:Where did algebra come from?

A: Algebra has been developed over thousands of years in several different countries. The earliest methods for solving mathematical problems with one or more unknown quantities come from ancient Egypt. The word "algebra" itself is derived from the title of Baghdad mathematician Al-Kwarizmi's 9th century book, "Hidab al-jabr wal-muqubala."
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• #### Q:What are some things that come in groups of seven?

A: Some things that come in groups of seven include the days of the week, the books in the Harry Potter series, the notes in a typically major or minor scale, the games in the playoff series for Major League Baseball and the Pillars of the House of Wisdom in the Book of Proverbs. Other groups of seven include the number of heavens in Islam and the chakras in Hinduism.
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• #### Q:Who is the father of modern algebra?

A: The man known as "the father of modern algebraic notation" was French mathematician Francois Viète, according to the math department at Rutgers University. His substitution of letters to mark unspecified or unknown number quantities is recognized as the beginning step in the creation of the algebraic system.
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• ## Arithmetic

• #### Q:Who created numbers?

A: The Babylonian society used a cuneiform method of writing that included numerical characters; this is the earliest-known form of numbers, meaning that, as far as humans know, the Babylonians created numbers. This system of numerical writing is about 5,000 years old, and it is a base-60 system as opposed to a base-10 system, which is what most humans use for counting and mathematics in the modern world. Time measurements, in which an hour consists of 60 minutes and a minute consists of 60 seconds, are one example of a sexidecimal, or base-60, numerical system that is alive and well in the modern world.
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• #### Q:How is math used in the real world?

A: Math is useful for economics, science, sports, social fields and a wide range of other areas for making decisions and analyzing information. Basic math skills are essential for many jobs. Math has been a core component of many human advances.
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• #### Q:Who is the father of mathematics?

A: Greek mathematician Archimedes is widely considered by many to be the "father of mathematics." He is regarded as one of the leading scientists in classical antiquity and is credited with designing numerous innovative machines, including the screw pump and siege engines.
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• #### Q:Why are high school math word problems important?

A: Math word problems are important for high school students because they help develop a conceptual understanding of the processes involved in arriving at solutions and enhance students' abilities to communicate mathematically. Word problems also may help students become more interested in math by showing how concepts they have been studying abstractly can be put to use in real-world situations.
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• #### Q:How do you multiply fractions with different denominators?

A: To multiply fractions, multiply the first numerator by the second numerator and the first denominator by the second denominator. The product of the two numerators becomes the numerator in your answer, and the product of the two denominators becomes the denominator in your answer. When finished, always be sure to simplify your answer to its lowest term.
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• #### Q:What are cool math games?

A: A cool math game that is available online is "2048" and is offered as a mobile application. Cool Math 4 Kids offers math games geared toward children, including "The Timernator" and "Arithmetic Game."
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• ## Calculus

• #### Q:What is a nonlinear function in math?

A: A nonlinear function in math creates a graph that is not a straight line, according to Columbia University. Three nonlinear functions commonly used in business applications include exponential functions, parabolic functions and demand functions. Quadratic functions are common nonlinear equations that form parabolas on a two-dimensional graph.
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• #### Q:How is the class midpoint calculated?

A: The class midpoint, or class mark, is calculated by adding the lower and upper limits of the class and dividing by two. The class midpoint is sometimes used as a representation of the entire class.
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• #### Q:How is calculus used in medicine?

A: According to class notes from Bunker Hill Community College, calculus is often used in medicine in the field of pharmacology to determine the best dosage of a drug that is administered and its rate of dissolving. Usually, the drug is slowly dissolved in the stomach.
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• #### Q:How do you calculate the midpoint Riemann sum?

A: A Riemann sum is a method of approximating the area under the curve of a function. It adds together a series of values taken at different points of that function and multiplies them by the intervals between points. The midpoint Riemann sum uses the x-value in the middle of each of the intervals.
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• #### Q:What are the meanings of "sin", "cos", "tan", "csc", "sec" and "cot"?

A: The abbreviations "sin," "cos," "tan," "csc," "sec" and "cot" stand for the six trigonometric functions: sine, cosine, tangent, cosecant, secant and cotangent. Each function represents a particular relationship between the measure of one of the angles and the ratio between two sides of a right triangle.
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• #### Q:How do you calculate bulk density?

A: To calculate bulk density, simply weigh the sample and divide its mass by its volume. Bulk density is commonly used when referring to solid mixtures like soil. Just like particle density, bulk density is also measured in mass per volume.
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• ## Data Graphs

• #### Q:When do you use a bar graph?

A: A bar graph is used to compare items between different groups and track changes over a period of time. Bar graphs are best used for changes that happen over a large amount of time instead of just months or weeks.
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A: The primary advantage of using a graph or chart in a presentation is that they help the audience to visualize the point of the presentation. Graphs emphasize the main point, make the data more convincing, provide a compact way of presenting information and help audiences stay engaged. Disadvantages of graphs include being time consuming to construct and costly to produce. They also require technology that some may lack.
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• #### Q:What is a segmented bar graph?

A: A segmented bar graph is similar to regular bar graph except the bars are made of different segments that are represented visually through colored sections. A segmented bar graph is sometimes known as a stacked bar graph, and it offers greater detail about data sets.
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• #### Q:Why are points connected in a line graph but not in a bar graph?

A: A line graph is a graph that charts the relationship between two variables or a progression of a single quantity through time. Without the lines connecting points of data, it would be difficult to make sense of the data being presented if there was no overall trend between the dots. A bar graph, on the other hand, is meant to compare two or more statistics, such as population figures.