Half of a dozen is a group of six items of any type. A dozen is a group of twelve items of any type.
The formula for calculating pipe weight is m=10.68 (d_{o} – t_{w}) t_{w} , where m is weight per foot (lbs/ft), d_{o} is outside diameter in inches, and t_{w} is wall thickness in inches. The outside diameter and wall thickness of the pipe are required to calculate the weight per foot. The formula doesn’t take into account weight alterations after end finishing, e.g., upsetting or threading.
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.
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.
A kilogram is approximately 2.20 pounds. The kilogram is the base unit the metric system uses for mass. Beginning in July 1959, the internationally accepted standard for the avoirdupois pound became exactly 0.45359237 kg.
The identity of the first person to discover that the ratio between the diameter and the circumference of a given circle is a constant will probably never be known. The search for that constant, commonly known as pi, goes back nearly 4,000 years, to the Egyptians and Babylonians.
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.
The abacus is a counting frame used since ancient times as a calculating device. The word abacus is derived from the Greek word "abax" meaning "flat surface."
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.
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.
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.
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.
In the United States, a roll of quarters is worth $10. It includes 40 quarters.
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.
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.
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.
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).
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.
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.
A pie graph is an effective visual tool used for showing how something breaks into parts. A pie graph is essentially a circle sliced into 100 pieces. Each category or part represented in the pie graph is given a piece of the pie to represent the percentage that it comprises of the whole.
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.
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.
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.
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.
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.