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What are some tips for practicing order of operations?

The order of operations establishes which operations take precedence over others in an equation. The correct order of operations is: parentheses, exponents, multiplication and division, then addition and subtraction. Executing operations in the incorrect order leads to a wrong answer. An easy way to remember the order of operations is the phrase Please Excuse My Dear Aunt Sally, which uses the first letter of each order to create an easy-to-remember tool.

What is the equation of a circle?

Mathematicians can also describe a circle in the polar coordinate system by the general equation a2 = r2 + 2rRcos(theta-phi) + R2, where the point (R,phi) represents the center of the circle in polar coordinates and the value of a represents the radius of the circle. When solved for the variable r, this equation can be rewritten as r = Rcos(theta-phi) + (a2-(sin(theta-phi))2)^1/2.

Where can you find a scientific notation calculator?

Consumers can compare the calculators online. Typing "scientific notation calculator" into a website search box produces a list of available calculators. Those who choose to order online can usually arrange for home or store delivery. Shoppers can visit one or more of the retail stores, where they can find the calculators in the office supplies or office machines section of the store.

Is 39 a prime number?

The number 39 is a composite number because it has more than two factors. To find the factors of 39, a person has to find divisors that divide evenly into 39. One method used to find these factors is through divisibility tests. The procedure is to begin with two and see if it divides evenly into 39. Since two does not divide evenly into 39, the next numbers to try are three, four, five, six, seven, eight, nine and 10. In this manner, it is simple to find all the factors of 39.

What is 47 in Roman numerals?

All numbers up to 50 are made with a combination of these letters. It is important to remember that the maximum number of times a letter appears in succession is three. Because of this, an alternate system is used when a letter would appear four times in succession. When a lower-value number precedes a higher-value number, the lower-value number is subtracted from the higher-value number. The Roman numeral for 47 is written by breaking the number down into 40 + 7. The number 40 is written as XL, which is equal to 50 - 10, since four 10s in succession is not allowed. The number seven is written..

What are two types of non-Euclidean geometry?

Euclidean geometry, which dates back to 300 B.C., had a wide variety of practical applications for the Ancient Greeks who used it to survey land, design buildings and determine distances. All of these applications dealt with flat surfaces. Spherical geometry was required for navigational purposes after it was discovered that the Earth was not flat as originally thought. In the modern world, spherical geometry is relied upon by ship captains and aircraft pilots to determine the shortest distance between two points. Because spherical geometry deals with surfaces that have a constant positive cur..

Is there a way to find the answers for Punchline Algebra?

The material utilizes a self-correcting method designed to help students access answers themselves after attempting problems, relieving teachers of much of the grading work. Punchline provides a scrambled answer list and code list for this purpose. MarcyMathWorks.com also provides sample pages from its products so that teachers and students can assess the program's self-correcting methodology.

How do you solve by factoring?

Move all terms to one side of the equationConsider the problem x^2 + 3x = -25 - 7x. Subtract both (-25) and (-7x) from both sides to yield the next step: x^2 + 10x + 25 = 0. Remember that subtracting a negative number is equivalent to adding a positive number with the same value.Factor the trinomial to find the solutionsLook at the constant term in the equation, and identify its factors. Consider the example question: x^2 + 10x + 25 = 0; the constant term is 25, with factors 1 and 5. Choose the pair of factors that multiplies together to make 25 while also adding up to the constant multiplied ..

What is the surface area of a trapezoid?

A trapezoid is a type of two-dimensional shape known as a quadrilateral. As with all quadrilaterals, a trapezoid has four sides. Trapezoids have one set of parallel sides. These sides are known as the bases of the trapezoid, while the two non-parallel sides are called the legs. The vertical height is also known as the altitude. When the legs are equal in length, and the angles from a parallel side are equal, the shape is an isosceles trapezoid.

Why don't contour lines cross?

A topographic map is used as a graphic representation of features that appear on the earth's surface. Some examples are:Hydrography: streams, rivers, swamps and lakesVegetation: both wooded and cleared areas, vineyards and orchardsRelief: valleys and mountains, slopes and depressionsThis kind of map can be difficult to read at first glance. Once a person understands the symbols, however, it becomes more clear.Contour lines are used to represent the relief features in a topographic map. In the rare case that the Earth's surface is intersected at two different points, such as a cave or..

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