Math


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What is a positive integer?

Positive integers are sometimes called "counting numbers" because they are the numbers that most people use when they first learn how to count: one, two, three, etc. "Natural numbers" or "whole numbers" refers to all of the positive integers and also zero. Negative integers are numbers that can be expressed without using a fraction but that have a value of less than zero, such as -1. Zero is an integer, but is considered neither positive nor negative.

What is a 100-sided polygon called?

The term hectogon comes from Greek root hecto-. Other similar terms are hectometer (100 meters) and hectogram (100 grams). Centagon comes from the Latin root cent-, as in century (100 years). Standard names for polygons use both Latin and Greek roots. For example, quadrilateral uses the Latin root quadri-, meaning four, while hexagon uses the Greek root hexa-, meaning six.

What are some real-life uses of math?

In every day life, math is used to calculate gas mileage for vehicles, planning for retirement, saving for a vacation, checking a bill for accuracy and determining travel times when planning road trips. Math is used when planning parties to determine how much food and supplies are needed and counting calories and nutrients when on a diet.\nAnother example of when math is used in real-life is when area is calculated. This can include planning a garden, home improvement projects such as painting walls or calculating square footage for selling a home.\nSome careers that use math include engineers..

What is a nine-sided shape called?

The sum of the interior angles of a nonagon is 1260 degrees. If it is a regular nonagon, then all nine angles have the same measurement of 140 degrees.\nThe term "nonagon" was coined during the 17th century from a combination of words. It begins with the Latin word "nonus," which means "nine." The last part of the word "gon" is patterned after Latin and Greek words meaning "angle. " Literally translated, "nonagon" means "nine angles."

What is the Taylor series of ln(x)?

The Taylor series of ln(x) can be derived from the standard Taylor series formula, f(x) = f(a) + f'(a)(x-a) + f''(a)/2! (x-a)^2 + f'''(a)/3! (x-1)^3 + ... where f'(a) denotes the first derivative of function f(x) at x = a, f''(a) denotes the second derivative of f(x) at x = a and so on. By noting that the first derivative of ln(x) is 1/x, it is straightforward to derive the Taylor series for ln(x).

What is an oblique shape?

It is important to note that an oblique object is not simply tilted to one side or another. The angles formed by its top or bottom and its sides are not right angles. In other words, the top and bottom of the object are not perpendicular to the sides. An oblique shape is essentially the opposite of an ?upright? or ?right? object, which forms right angles where the top and bottom connect to the sides.

How many cubic feet are in a 20-foot container?

The cubic foot measurement for containers used for intermodal shipping were standardized in the 1960s. Typical containers of the time were either 20 feet or 40 feet, and as such, the International Organization for Standardization developed the 20-foot equivalent unit, or TEU, to describe capacity. For example, the capacity of one 20-foot container is equal to one TEU. The cubic foot measurement of a 20-foot container is typically near 1,170 but can be as large as 1,520. The figure fluctuates depending on length, width, and internal capacity of the container.

Where is the abacus still used today?

The term abacus comes from the Greek word “abax," which means "computing board" or "calculating tablet," according to UCMAS. During ancient times, merchants used the abacus to keep an accurate accounting of their goods and profits. The abacus is used to multiply, divide, subtract and perform other mathematical functions using beads that are arranged in sets of tens. It is especially useful for teaching mathematics to blind students.

How many different ways can you make 28 cents?

The combination requiring the most coins is 28 pennies, and the one using the least number of coins is one quarter and three pennies. Possible combinations in which dimes are used are one dime and 18 pennies; one dime, one nickel and 13 pennies; one dime, two nickels and eight pennies; one dime, three nickels and three pennies; two dimes and eight pennies and two dimes, one nickel and three pennies. The other five combinations use only nickels and pennies. They are as follows: one nickel and 23 pennies, two nickels and 18 pennies, three nickels and 14 pennies, four nickels and eight pennies an..

What is a logistic growth curve?

The exponential, or geometric, growth of populations is rapid at first but always slowed by their environment's carrying capacity, which is the availability of food and other resources. Other factors will also slow population growth, such as predation and disease.The logistic growth curve has also been used to model the rate of AIDS infection over a period of time. In the United States, the rate of AIDS infection between 1981 and 1992 followed a classic logistic curve, leveling off at around 47,500 cases each year. Since the logistic growth curve dictates that this leveling off occurs at ..

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