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What are vertices in math?

Vertices are often used as a description of the corner of a shape, generally a polygon. However, they can also exist at a point between any two lines which meet and form an angle but do not cross. If the lines cross, the point is considered an intersection and not a vertex. Vertices are a useful way to describe objects and their placement in two-dimensional and three-dimensional spaces. Two-dimensional objects have vertices where their lines meet, and three-dimensional objects have vertices where their planes meet. In this sense, vertices can sometimes be described as the corners of a geometri..

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What skills and concepts do you learn in Algebra 1?

Algebra 1 primarily teaches students how to think about real world situations mathematically. Word problems make up a large part of the curriculum, with nearly every unit including some form of word problem interpretation. Exponents, a concept learned prior to Algebra 1, are reviewed and applied to equations. The mathematical laws of exponents are taught and applied to exponential equations. The ideas of negative and zero exponents are also introduced and applied.\nAlgebra 1 is the first mathematics class to introduce the concept of scientific notation as a substitute format for very large or ..

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How many vertices does a square have?

A vertex is defined in geometry as the common endpoint of two or more rays or line segments. In a more simplified meaning, it is a point where lines meet. This term is generally used to refer to the corners of a polygon or polyhedron formed by the intersection of the edges or faces. Two lines that are joined at a vertex form an angle. In a square, the included angle at each vertex is referred to as an interior angle of the quadrilateral.

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What is a differential equation solver?

A typical solver provides the option to enter a single second order differential equation, such as x'' = f(x', x, t), and another option for a system of first order differential equations, such as x' = f(x, y, t), y' = g(x, y, t). A user may enter minimum and maximum graph settings for the graph solution.\nA differential equation, which relates a function of one or several variables with its derivatives, is applied in fields such as engineering and physics.

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What is an estimated digit?

The last number in a measurement in science is simply an estimation. For example, if a metal rod measures slightly over 234 inches, the final measurement can be rounded so the answer is 234 instead of 234.2. The more significant numbers a digit has, the more precise the measurement. A significant number includes all non-zero numbers, all zeros that fall between two significant digits and all zeros that are to the right of a decimal point or to the right of a non-zero number.

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What is an entity relationship diagram?

Grammatical forms in English correspond to classes of entity relationship model components. Pronouns, for example, refer to an entity, while common nouns are categories of entity types. Likewise, transitive and intransitive verbs translate as relationship and attributes types, respectively. Adjectives are attributes for a specific entity, while adverbs are relationship attributes.\nThe lines that connect entities, attributes and relationships utilize one of several styles to express cardinality. Bachman lines, for example, use filled circles to indicate one connection, open circles for zero an..

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Is 15 a prime number?

Fifteen is a composite number. Composite numbers are positive, natural numbers that have at least one other number that divides into it besides itself and 1. An example of a prime number is 2. This number does not have any other divisors besides 1 and itself. Some other prime numbers are 5, 7 and 11.\nDefining whether a number is prime or not is known as the property of primality.

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How many edges does a rectangular prism have?

The rectangular prism also has six faces, or flat sides. The surface area of a rectangular prism is determined by multiplying the length by the width of each of the six rectangles and by then adding the products together. Finding the area of one of each of the parallel faces, multiplying by two and adding those products together gives the same answer. The volume of the rectangular prism is determined by multiplying the length times the width times the height of the prism.

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What is standard notation?

Standard notation is commonly used in everyday math. However, when working with large numbers, it can become cumbersome to write out every single digit. Scientists and mathematicians often use another type of number form known as scientific notation to make writing numbers less cumbersome.\nIf someone has the standard notation of a number, he can easily convert it to scientific notation. First, he needs to write the digits of the number, placing a decimal after the first digit. This needs to be followed by a multiplication sign (x) and the number 10 written to a specified power. Writing the 10..

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How do you teach algebra to beginners?

Show how algebra works with basic additionSet up an equation starting with single-digit numbers, such as 3 + 4 = ?. The student provides the answer 7. Increase one of the numbers, as in 3 + 5 = 8, to reinforce the pattern. \n\nAsk the student to find the missing number in a similar pattern, as in 3 + ? = 9. The student should answer 6. If the student has trouble, help them count up on their fingers. Let them know that by finding the missing number, they have solved an algebra problem.\nDemonstrate converting addition to subtractionBy the time they begin algebra, most students are familiar with..

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