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What is an expression in math?

The three most common types of expressions are arithmetic expressions, which contain one variable, numbers and simple operations; polynomial expressions, which contain more than one variable; and algebraic expressions, which can contain all of the above in addition to exponents, or powers.\nTo simplify an expression, a person must combine like terms. For instance, in the expression "4x+3y+12x+4+6y+10," the xs, the ys, and the lone numbers can be combined to give this expression: "16x+9y+14."

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Is there a formula for inverse variation?

Although the formula to find the constant k is expressed as the product of x and y, the formula is usually expressed as y equals k divided by a, as this aids in the construction of graphs.\nAn example of inverse variation in the real world is speed versus time when traveling a fixed distance. A person who is traveling at high speed covers a distance in fewer units of time. In that particular example, the constant k is the distance, and speed and time are the variables x and y.

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How do you factor sin(3x)?

Form an equation with an integerThe zeros of y = sin(x) are multiples of pi (π). Therefore: 3x = nπ, where n represents an integer. This represents a multiple of pi. \nSolve the equationSolve the equation for x by dividing nπ by three so the equation reads: x = (nπ)/3).\nInterpret the resultsThe equation x = (nπ)/3 means that the function equals zero at all multiples of π/3, such as π/3, (2π)/3, π, (4π)/3 and so on in both positive and negative directions.

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What is the derivative of 5/x?

The derivative of 5/x can be determined by using the quotient rule. The quotient rule states that the derivative of y/x is equal to y times the derivative of x minus x times the derivative of y, all divided by x squared. For 5/x, the derivative is the derivative of five times x minus five times the derivative of x, all over x squared. The derivative of x is one, and the derivative of five is zero, resulting in negative five over x squared.

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What is a polygon with four unequal sides called?

The explanation provided from Mathisfun.com indicates that even though a polygon with four completely unequal sides can be called an irregular polygon, not all irregular polygons have four completely unequal sides.\nAccording to Math.com, a polygon that has four unequal sides can also be referred to as a quadrilateral, which is simply a four-sided polygon with four angles. More common quadrilaterals include the rectangle, the trapezoid and the rhombus.

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What types of math problems require multiplying variables with exponents?

Depending on the level of math being studied, there may be math problems that require dealing with polynomial problems. Algebra one and two, geometry and trigonometry frequently require managing polynomial equations.\nPolynomial equations are often written out in standard form for homework and even on tests. However, even word problems can be used to create polynomial equations to simplify. When multiplying variables that have an exponent, if the variables are the same, the exponents are added together. If there are constants with the variables, those are multiplied together, and the exponents..

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How do you find the slope with two points?

Determine the two points to be usedThese points are written as ordered pairs (x, y). The first number is the x-coordinate, and the second is the y-coordinate. Rearrange them with the largest x-value first, because this makes it easier to calculate the slope.Subtract the y-values and the x-valuesFor example, assume you have two ordered pairs (2, 5) and (6, 1). You subtract 5 from 1, revealing -4 for the change in y. Subtracting 2 from 6 yields 4 for the change in x.Express the number as a ratioSlope is the ratio of rise to run, or y to x. Therefore, in the example equation it is -4/4. Simplifie..

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What are some examples of binomial distribution?

A binomial experiment is the foundation of the binomial distribution. Its properties include: there are N number of repeated trials in the experiment, and there are only two possible outcomes in each trial, which are referred to as either successes or failures. The probability of success is the same on each trial and is denoted by "P," and the outcome of each trial is independent of the other trials. Binomial distributions have both mean and standard deviation. Finding the mean typically involves multiplying the number of trials in the experiment by the probability of success on each trial. Th..

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What does "24KGB" mean?

Gold bonding generally starts with a base material such as bronze. The base material is then covered in layers of 24-karat gold, and these are then covered in layers of 14- or 18-karat gold. The resulting material is very similar in appearance, weight and flexibility to 14- or 18-karat gold but does not cost as much. Gold bonding may also be referred to as "gold filled" or "gold overlay."

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What is the volume of a cube?

A cube is a three-dimensional geometrical figure that has six faces. All six faces are squares of the same length. A cube has 12 edges and eight vertices or corners. The total surface area of a cube is obtained by using the formula A= 6(length of side)2. Volume is always expressed in cubic units such as cubic centimeters or cubic meters.

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