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What is a mathematical verbal expression?

In math, students also may have to translate a verbal expression into an algebraic expression or equation. This is commonly used in word problems, where students must look for specific words that identify the operation needed to solve the problem. Some examples of these words are decreased by, increased by, less than, more than, sum of a number and "x," and the total of two numbers.

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What is logistic growth?

A logistic population graph is characterized by an S-shaped curve with three distinct regions. The population size initially grows slowly when it has only a few members. As the number of members increases, the rate of growth increases exponentially because there are more members to reproduce and ample available resources.\nHowever, the population eventually reaches the maximum number of members that the environment can sustain. At this point, the number of members is large enough to deplete resources, which causes the growth rate to slow and then level off.\nThe level at which the population s..

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What is a roster form?

The members of a roster do not have to be numerals. Any object or concept is potentially an element of a set. For example, the roster for the days of the week is {Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday}. If the set does not have a finite number of members, three dots are used to indicate that the list continues. Therefore, the roster for whole numbers is {0, 1, 2, 3, 4, 5, ...}.

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What is a rational exponent notation?

When using rational exponents, it is helpful to remember that the appropriate radical will undo an exponent. The cube root of 3^3 equals three, just as raising the cube root of 27 to the third power equals 27. Using rational exponents makes this relationship even clearer, because raising the cube root of 27 to the third power is written as (27^1/3)^3. When raising an exponent to another exponent, the answer is found by multiplying the exponents, so the problem can be rewritten 27^(1/3 x 3) or 27^1.\nRational exponents are often used in higher mathematics because they allow greater flexibility ..

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What is the difference between oblong and rectangle shapes?

A rectangle is defined as a quadrilateral having two sets of parallel sides and four 90-degree interior angles. This is a very specific definition. A rectangle is a specific type of square as well as a specific oblong shape.\nOn the other hand, "oblong" is a general word that applies to a number of different shapes. Not all oblongs are rectangles, just as not all squares are rectangles. Oblong shapes include ovals and other types of parallelograms. In addition, the word "oblong" is not only a math term. It can also refer to objects that are longer than they are broad.\nAny elongated shape or o..

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What are real-life examples of quadratic equations?

Math Is Fun notes that the quadratic equation can be used to determine where a ball that has been thrown into the air is going to eventually land. The equation is used to calculate the amount of time it takes for the ball to reach its peak height and return to the ground, and the predictable nature of the parabola enables the observer to pinpoint its exact location.\nThe Monterey Institute explains that the quadratic equation can also be seen in the shape of the cables used on a suspension bridge. Math Is Fun explains that the quadratic equation is put to use under economic conditions as well...

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What is the significance of the number "333"?

In Biblical terms, the number 333 is significant due to the fact that it is believed that Jesus Christ died at the age of 33, and the Holy Trinity equals three. When three is multiplied three times, it equals nine, which signifies the word "completion" in numerology studies.\nAnother common belief among individuals who study numerology and mysticism is that multiple number sequences that appear on digital clocks are actually signs from spirit guides and angels.\nOne well known superstition is that if a person makes a wish at exactly 11:11, it will come true. When 3:33 appears on a digital cloc..

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What is the commutative property of multiplication?

The example of "a + b= b + a" explains the commutative property in addition. The order of the numbers are switched, and the equation reaches the same solution. In multiplication, the property is explained as "ab = ba".\nThe name of the commutative property is derived from the word "commute" or "to move around," referring to the movement of numbers explained by the property.

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What is a reciprocal in math fractions?

The only way to find the reciprocal of a mixed fraction is by first converting it into an improper fraction, then swapping the numerator with the denominator. The reciprocals of whole numbers are found by placing one over the number. For example, the reciprocal of five is 1/5. A fraction multiplied by its reciprocal is always equal to one. Reciprocals are used when dealing with inverse proportions, finding perpendicular lines and dividing fractions.

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What is 5/8 as a decimal?

However, to convert from fractions to decimals, there is a different method. The denominator of the fraction is multiplied by a number that gives the result as 10, 100, 1,000 or another multiple of 10. For the fraction five-eighths (5/8), the denominator is 8. Multiplying 8 by 125 gives 1,000. To find the answer as the decimal 0.625, multiply both the numerator and denominator by 125 to find 625/1000. In the decimal system, the third digit after the decimal point is the thousandth place, so 625/1000 is the same as 0.625.

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