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What is precalculus?

Precalculus students learn the general properties of functions, their notation and how to perform symbolic function operations, and they learn to treat functions as models. Representing functions graphically, symbolically and in tabular form is another important skill in precalculus. Expanding existing knowledge of algebraic expressions and equations to include radical, exponential, trigonometric and logarithmic examples is another element of the course.

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What are some fun facts about the number two?

This test for evenness can be applied in bases other than decimal. For example, hexadecimal numbers that can be divided by two are even in both the decimal base and their respective base. Checking whether the single digit's part of a number is divisible by two is enough to tell whether the entire number is divisible. This means all numbers that end in two, four, six, eight and zero are even in the decimal and hexadecimal systems.\nAlthough one is often confused as the first prime integer number, two is actually both the smallest and the first prime number. This is because it is the first ..

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How do you guess how many jelly beans are in a jar?

The volume formula for a cylinder is V = pi x r^2 x h. One suggestion for using this formula involves rounding pi to 3 and counting the radius as half of the jar's diameter in beans. For example, if a jar is 10 beans in diameter and 20 beans in height, the volume is three times 5 squared times 20, or 3 times 25 times 20. The answer is approximately 1,500 beans.\nEstimate the number of jelly beans by taking statistical samples. Obtain the exact same jar with jelly beans of the same size. Count jelly beans into the jar, up to the exact level of jelly beans, several times to get an average. ..

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In how many ways can you arrange six things?

Permutations are computed using factorials. A factorial is a product of a number and all the numbers below it. The factorial of a number is represented in shorthand using an exclamation point. For instance, 6! Is the factorial of 6.\nThus, a set of six things can be arranged in (6*5*4*3*2*1) ways, which works out to 720 ways.\nGenerally, n! is the number of permutations of “n” things, whereas n!/r! is the number of permutations of “n” things where “r” of them are repeated. When a set contains repeated elements, the order in which those elements are arranged is important and they ca..

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How many degrees are in one exterior angle of a regular pentagon?

A pentagon refers to any polygon with five sides. It must have straight edges and form a closed loop. A regular pentagon is a specific type of pentagon where all sides and interior angles are the same size. Since the interior angles are all the same size, the exterior angles must also be the same size. A regular pentagon has five possible lines of symmetry.

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How many thousands are in one million?

Conversely, you may multiply in order to find the solution to this problem. With math problems that involve the 10s, you simply have to add the zeros. Since you have three zeros in 1,000, you need three more zeros to total the six zeros in 1,000,000. The problem looks like 1,000 x 1,000. The multiplication gives you 1,000,000. The same trick applies to 10s such as 30 and 40, but you must multiply the whole numbers.

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What is the "zero property" of multiplication?

Multiplying any number by zero gives a product of zero. Therefore, if the product of two numbers is zero, one or both of those numbers must be zero. This property may seem self-evident, but it can be very useful for many mathematical processes, such as solving quadratic equations. It is important to note that the reverse process, dividing by zero, is not possible in normal mathematics. This why the denominator of a fraction can never equal zero.

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What are some tips for solving basic algebra problems?

Because algebraic fractions are difficult to manipulate, students begin solving equations involving fractions by multiplying every term of the equation by the denominator of the fraction.\nIn order to isolate a term, such as x, the rules allow adding or subtracting the same number from both sides of the equation. They also allow combining like terms, so it is possible to add 8x and 3x to get 11x.\nAlgebra rules also allow students to factor an equation to find a solution. When solving by factoring, there is often more than one solution to the equation.\nSolving the equation only gives a list o..

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How many quarts are in a 5 gallon jug?

Using these equalities, 5 gallons is equal to 5 multiplied by 4 quarts, which is 20 quarts. The fluid quart is different from the dry quart. For example, the dry quart is equal to 1.10 liters, while the fluid quart is equal to 0.95 liters. However, the two units of measurement are similar in that 1 dry gallon is equal to 4 dry quarts, just as 1 fluid gallon is equal to 4 fluid quarts.

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What is median vs. mean?

To compute the mean, add all numbers in a given set, and then divide that total by the number of values in the set. For example, if a basketball player scores eight, 12, 14, 18 and 28 points over five consecutive games, his scoring mean during that stretch is 16. This result is calculated by taking the five-game total of 80 points, and then dividing it by 5, which is the number of values in the set. If the player scores more than 16 points in the next game, his average increases; if he scores less, it drops.\nTo determine the median of a set, first organize the values in ascending order. When ..

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