Math

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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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    • How do I calculate the volume of a round tank?

      Q: How do I calculate the volume of a round tank?

      A: If the round tank is spherical, the radius of the interior space must be measured; the radius is one-half of the diameter. The volume is equal to the radius cubed multiplied by pi multiplied by 4/3.
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    • How do you simplify imaginary numbers?

      Q: How do you simplify imaginary numbers?

      A: Imaginary numbers are typically simplified in the same way that expressions with the variable x are simplified, with the exception of the expression i^2, which has a value equal to -1. For example, the expression 2i + 8i can be simplified by writing it first as (2 + 8) * i, with the final expression written as 10i.
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    • What are some things that come in groups of seven?

      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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    • What does equation mean?

      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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    • How is algebra used in everyday life?

      Q: How is algebra used in everyday life?

      A: People use algebra in their daily lives when they make decisions about health, fitness, financial and money matters and when cooking. Algebra involves the use of known variables and fixed numbers in equations to find the values of unknown numbers.
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    • What is the procedure for solving equations graphically?

      Q: What is the procedure for solving equations graphically?

      A: To solve an equation in one variable graphically, first manipulate the equation to put it in the form f(x) = 0, where x represents the variable present in the equation. Then use mathematical software, a graphing calculator or graph paper to plot the line y = f(x). The solution to f(x) = 0 is the point or points at which the line crosses the x-axis.
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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 are the meanings of "sin", "cos", "tan", "csc", "sec" and "cot"?

      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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    • How are logarithms used in the world?

      Q: How are logarithms used in the world?

      A: A few examples of how logarithms are used in the real world include measuring the magnitude of earthquakes or the intensity of sound and determining acidity. A logarithm explains how many times a number is multiplied to a power to reach another number. It is expressed as loge(x) and is commonly written as ln(x).
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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 many millimeters equal 1 meter?

      Q: How many millimeters equal 1 meter?

      A: One thousand millimeters is equal to 1 meter. The meter is the standard unit of length in the International System of Units, also known as the metric system. "Metre" is the standard spelling for all English-speaking countries except the United States. "Meter" is the accepted U.S. spelling.
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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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    • 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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    • 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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    • 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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    • 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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    • 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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    • Why are points connected in a line graph but not in a bar graph?

      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.
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