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What are some of the math fonts used in LaTeX?

LaTeX also uses Adobe PostScript, which is combined with Ghostscript as both text and math fonts by applying various packages such as, Avant and Bookman, from the PSNFSS distribution. It is important to note that the PostScript fonts Avant Garde and Bookman were modified by Antonis Tsolomitis to create the Kerkis font, which has additional Greek and Latin characters and is a stand-alone application that can be used outside LaTeX.\nA crucial observation about most of the math fonts is that they have been modified to include extra Greek and Latin letters by many authors. These authors discovered..

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What is the prime factorization of 70?

A prime number is a positive integer that only has two positive factors: the number itself and the number one. By contrast, a composite number is a positive integer with at least one other factor besides the number itself and the number one.\nA common method for finding the prime factorization of a number is to use a factor tree. It works by continuously branching the factors of composite numbers until only prime numbers are left.

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Why does a negative times a negative equal a positive?

The proof is as follows. First, by definition -n = (-1)(n) for any number n.\nNow, taking the expression x = (a)(b) + (-a)(b) + (-a)(-b) and factoring out (-a) from the last two terms gives x = (a)(b) + (-a)[(b)+(-b)]. Since (b)+(-b) = 0, this yields x = ab.\nSimilarly, by starting with the same equation, x = (a)(b) + (-a)(b) + (-a)(-b), and factoring out (b) from the first two terms on the right side, gives x = [a+(-a)](b) + (-a)(-b). Since (a)+(-a) = 0, this gives x = (-a)(-b).\nSince equality is transitive, meaning that things which are equal to the same are equal to each other, (-a)(-b) =..

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What is the square root of 2?

According to the Pythagorean formula, a right isosceles triangle with both legs equal to 1 has a hypotenuse equal to the square root of 2. This relationship is so important that the square root of 2, sometimes called root 2, is known as Pythagoras' constant. For all right isosceles triangles, the relationship between the sides follows the pattern of 1:1:root 2. For example, a right isosceles triangle with legs equal to 10 has a hypotenuse of 10 root 2.

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What are the prime factors of 12?

To find the prime factors of a number, first start by dividing the number by the smallest prime number, which is 2. For example, 12 can be divided evenly by 2; therefore, 2 is a prime factor of 12. However, 6 is not a prime number. Divide 6 by 2 to get 3, which is a prime number. Every factor of 12 is now a prime number, which can be written as: 2 x 2 x 3 = 12.

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What is 15 percent of 60?

To calculate the percentage of any number, the percentage must be multiplied by the number, and then the resulting number is then divided by 100. Another way to calculate the percentage of a number is to move the decimal place of the percentage over two places before multiplying it. For the percentage of 15, the resulting number would be 0.15. This percentage is multiplied by 60 to get the result of 9.

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What is produced from multiplying a negative number times a negative number?

Using a number line, the positive symbol refers to facing or moving to the right. The negative symbol is facing or going toward the left. The number sentence 2 X 3 = 6 means face the right and take two steps forward three times. The answers is 6. To demonstrate how a negative times a negative equals a positive, face left and take two steps backward three times. Therefore, (-2) X (-3) = 6.

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What needs to be congruent to show that ABC is congruent to PQR by SSS?

For triangles ABC and PQR, it must be shown that AB=PQ, BC=QR and AC=PR. This is for a given correspondence ABC and PQR between the vertices of the two triangles.\nTwo triangles are said to be congruent if all three corresponding angles and the three corresponding sides are congruent. Two congruent triangles have identical size and shape.\nThere are various theorems by which two triangles can be shown to be congruent. These include the SAS (side-angle-side), RHS (right-hypotenuse-side) and ASA (angle-side-angle) theorems.

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What does "product" mean in math?

Products can be found by multiplying different variables together. The number of variables in the problem can change, but most often, two numbers are multiplied together to form a product.\nThe converse of multiplication is division. The answer of two variables that are divided by each other is known as a quotient. In division, only two variables can exist in one problem, whereas many variables can exist in multiplication.

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What kind of math is used in nursing?

Nurses must be able to perform basic calculations to ensure each patient receives the correct amount of medication. If a doctor writes a prescription for 1 milligram of medication per kilogram of body weight, the nurse must be able to convert the patient's weight from pounds to kilograms and determine how many milligrams of medication to administer.\nNurses use addition, subtraction, multiplication and division on a daily basis. A nurse must also be comfortable working with fractions and decimals, using ratios and proportions and converting one unit of measurement to another. Geometry is ..

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