Math

A:

Half of a dozen is a group of six items of any type. A dozen is a group of twelve items of any type.

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    • What are the notable mathematical problems that feature pi?

      Q: What are the notable mathematical problems that feature pi?

      A: Some mathematical problems that feature pi are the area of a circle, a circle's circumference, arc length and the different surface area and volume formulas for a cone, sphere and cylinder. In mathematics, the ratio between a circle's circumference and diameter is given as pi.
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    • What is a "digit" in math?

      Q: What is a "digit" in math?

      A: "Digits" are the symbols or characters used to represent a number visually. A number like five contains one digit, whereas a number like 555 contains three digits. This is easily seen when they are written as numerals: 5 versus 555.
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    • Why are high school math word problems important?

      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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    • Who created numbers?

      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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    • How big is a stack of one trillion dollar bills?

      Q: How big is a stack of one trillion dollar bills?

      A: A stack of one dollar bills equals $100 and measures .43 inches high, which means that $1 trillion dollar bills would stack to a height of approximately 67,866.16 miles. The moon is about 238,855 miles from the Earth, which would require a stack of $3.5 trillion dollar bills to reach.
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    • How did Albert Einstein come up with E=mc^2?

      Q: How did Albert Einstein come up with E=mc^2?

      A: Before Albert Einstein came up with his equation E=mc^2, the scientific world believed that mass and energy were two independent phenomena in the universe. However certain occurrences, such as radioactive emissions could not be explained by this divide between mass and energy. Einstein worked out the equation by assuming the speed of light was constant to provide the link which would later explain how stars worked as well.
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    • How is calculus used in medicine?

      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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    • What are some common Pythagorean triples?

      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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    • What is the precise definition of a limit in calculus?

      Q: What is the precise definition of a limit in calculus?

      A: The definition of a limit in calculus is the value that a function gets close to but never surpasses as the input changes. Limits are one of the most important aspects of calculus, and they are used to determine continuity and the values of functions in a graphical sense.
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    • What is a nonlinear function in math?

      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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    • How do you calculate bulk density?

      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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    • How do you calculate the midpoint Riemann sum?

      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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    • What is numerical data?

      Q: What is numerical data?

      A: Numerical data is data that is expressed with digits as opposed to letters or words. For example, the weight of a desk or the height of a building is numerical data.
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    • How is data turned into information?

      Q: How is data turned into information?

      A: According to the BBC, data is transformed into information after being imported into a database or spreadsheet. Information is defined as a collection of facts or data, whereas data is defined as information organized for analysis or used to reason.
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    • How does a graph help people interpret scientific data?

      Q: How does a graph help people interpret scientific data?

      A: Graphs of various types provide convenient visual representations of scientific data that would otherwise be presented in intimidating blocks of text or a series of numbers. Graphs represent statistics such as changes over time, comparisons, or parts of a whole. Graphs can be used to make date more accessible to both scientists and laypersons.
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    • Why are graphs important?

      Q: Why are graphs important?

      A: Graphs are beneficial because they summarize and display information in a manner that is easy for most people to comprehend. Graphs are used in many academic disciplines, including math, hard sciences and social sciences. They make appearances in corporate settings, serving as useful tools to convey financial information and facilitate data analysis.
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    • What are the names of graphs?

      Q: What are the names of graphs?

      A: Several types of graphs are used for displaying information in mathematics including the bar graph; pie chart or circle graph; histogram; stem and leaf plot; dot plot; scatter plot; and time-series graphs. The type of graph chosen depends on whether the data is quantitative, qualitative or paired.
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    • What is a segmented bar graph?

      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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