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Where is the first quadrant drawn on a graph paper?

Coordinates in the first quadrant have positive values for both x and y, whereas points in the third quarter have negative values for both coordinates. In the second quadrant, the x-coordinate is negative, but the y-coordinate is positive. Conversely, the points in the fourth quadrant have a negative value for y but a positive value for x.

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How do you simplify expressions?

If the expression contains only numbers and operators (no variables), then any operations in parentheses or brackets are performed first. Any exponents present are evaluated. Multiplication and division are equivalent and are evaluated in order from left to right. The same is true for addition and subtraction. The same sequence is followed outside parentheses.\nIf the expression contains variables in addition to numbers and operators, then like terms must be combined. Like terms need to have the same variables and exponents but do not need to have the same coefficients. For example, 4x and 9x ..

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How do you determine the domain of composite functions?

Determine the order the functions are appliedExamine the separate functions, often labeled f(x) and g(x). Figure out whether function f is being applied to the result of g(x) or the other way around.\n\nComposite functions are usually designated by a small 'o' symbol, such as º in the case of (g º f)(x). This means that you take function g of the result of the function f(x). This can be written as g(f(x)).Figure out the domain of the first functionThe first or inside function happens first, so any values at which the first function does not exist do not exist for the composite func..

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What is the period of some trig functions?

The period of a function is the length of each unique wave. For example, the sine and cosine repeat every 360 degrees, which is equal to two pi in radians. The period of the function sin(2X) repeats every 180 degrees, or pi radians, giving that function a period of pi by dividing the regular sine period of 2 pi by the multiplier, 2, in the equation.

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What is half a circle called in geometry?

A semicircle's area is always half the area of the original circle that is divided. To measure the area of a semicircle, pi needs to be multiplied to the square of the semicircle's radius before being divided into two. The perimeter of the semicircle is measured by adding the multiplication result of pi with the radius of the semicircle and twice the radius of the semicircle.

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What is the purpose of descriptive statistics?

In descriptive statistics, no conclusions can be drawn nor a hypothesis be proven regarding a set of quantitative data. It differs from inferential statistics where deductions are formulated that go beyond the scope of the data presented. Descriptive statistics is merely the manner of conveying numerical information in a simpler form where possible data patterns can be obtained. The tools used in descriptive statistics are charts and graphs for graphical description, tables for tabulated description and discussions for statistical commentary.

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What is the largest number?

Not only are the real numbers infinite, but they are uncountably infinite, which means there are more members of the set of real numbers than of any set of natural numbers. The natural numbers start with 0 or 1, depending on the definition, and continue with the rest of the positive counting numbers (1, 2, 3, ...). The real numbers consist of the rational numbers that can be written as fractions with integers for the numerator and denominator and irrational numbers that cannot be written as fractions in this way.

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How do you divide mixed fractions?

To change each number to an improper fraction, divide the numerator by the denominator, write down the whole number, then write the remainder, if there is one, above the denominator. An improper fraction is a fraction in which the top number is equal to or larger than the bottom number.Once a number has been written as an improper fraction, a student can use the KCF method to solve the problem. KCF stands for, 'Keep,' 'Change' and 'Flip.' For example, to solve the improper fraction 8/5 x 7/2, first, multiply the numerators together, then multiply the denominators ..

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What is a trinomial square?

A binomial has two algebraic expressions, while a trinomial has three algebraic expressions.\n(a + b)² = a² + 2ab + b² and (a - b)² = a² - 2ab + b² are both the squares of a binomial. The expressions a² + 2ab + b² and a² - 2ab + b² are both trinomial squares. These algebraic expressions are also referred to as expansion formulas or identities in algebra.

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How do you convert from kcal to cal?

Check that the quantity is given in kilocaloriesBecause the kilocalorie is used to measure the caloric content of food, it is more commonly referred to as the food calorie or the large calorie. Outside of nutrition, the calorie is much more common, so it is important to make sure the correct units are used.Multiply the original quantity by 1,000One kilocalorie is equivalent to 1,000 calories, so multiplying by 1,000 is the only step required to convert kilocalories to calories. To accomplish this, locate the decimal point in the original quantity and move the decimal point three places to the ..

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