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How can quadratic equations be used in real-life situations?

The parabola is key in determining where something lands when thrown, shot or launched. By factoring in the height the object is predicted to reach and the velocity with which it is projected, and accounting for gravity, it is possible to determine fairly accurately where the projectile is likely to land. The military uses the quadratic formula all the time to determine where artillery is likely to fall and to target flying objects.\nEngineers use the quadratic equation along with other advanced types of math when making their designs. The only way they can assure that a curved object is made ..

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How do you convert radians per second to meters per second?

The conversion of radians per second to meters per second is equivalent to finding the length of the arc traveled in one second. Arc length is equal to the arc radius multiplied by the angle covered by the arc, provided the angle is measured in radians. The unit of the resulting arc length is the same as the unit of the radius measurement.

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What is a geometric constraint?

Geometric constraints are imposed by designating a side length or angle to be a certain value. For example, if two angles of a triangle are specified as 45 and 90 degrees, the third angle is constrained to being 45 degrees. In order to change that third angle, one of the first two angles would have to be changed first.

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What are the first 10 cube numbers?

Cube numbers are the product of an integer multiplied by itself, and then by itself again. A cube number is the product of a base number, n, to the third power, written exponentially as n^3. For example, 4 x 4 x 4, or 4^3, yields the cube 64. All positive numbers raised to the third power have positive cubes. Negative numbers raised to the third power, however, have negative cubes. Two negative numbers multiplied together have a positive product, but when that product is multiplied by the negative number again, the answer is negative. For example, -4 x -4 x -4, or -4^3, equals -64.\nIt is not ..

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How do you simplify a whole number and a mixed number as a ratio or a fraction?

Before adding a whole and a mixed number to get one fraction, both numbers must be converted into improper fractions. Convert the whole number by multiplying it by the denominator of the fraction portion of the mixed number. This number is now the numerator of the new improper fraction, and the denominator is the same denominator from the mixed number.\nThe mixed number is converted to an improper fraction similarly. First multiply the whole number by the denominator of the fraction, then add this product to the numerator of the fraction. This number is once again the numerator of the new impr..

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What are the division properties of exponents?

For instance, a^n divided by a^m equals a^n-m. Using numbers for variables, 2^4 divided by 2^2 power is 16 divided by 4, which equals 4. Written in exponential form, 2^2 equals 4. For an entire quotient that has an exponent, an example is (2/4)^3. Take 2^3 divided by 4^3, which comes out to 8/64 and may be reduced to 1/8.\nThe long way to do the math is to write out the individual parts in long form. The first example is 2*2*2*2 divided by 2*2. Two of the numerals on top cancel out the two numerals on the bottom. That leaves 2*2 which is 4.\nNumbers in front of bases are also divided in the qu..

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What are all math formulas used for?

In the volume of a box formula, the symbol "V" stands for volume, "l" for length, "w" for width and "h" for height. The equation a2 + b2 = c2 is considered a formula because it defines the relationship between variables a, b and c. However, x/2 + 7 = 0 is an equation but not a math formula, as it contains no related variables.\nMath formulas are used to work out real-world problems. For instance, the math formula for calculating the perimeter of a rectangle, which is P = 2l + 2w, can be used to work out the perimeter of a bedroom floor in a real-world scenario. Similarly, the formula defining ..

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What are some jobs that use algebra?

Banking positions frequently require the use of algebra. These include lenders and financial planners who calculate items such as interest rates and profit margins. Fitness professionals use formulas to calculate various aspects of a client's health. This may include body fat percentage and the ratio of diet to exercise needed to maintain optimum health. Architects rely on algebra to design buildings. It is needed to convert items to scale so that the structures designed have the correct proportions. Civil engineers make use of algebra when they design important parts of infrastructure, s..

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What is the variable plotted on the horizontal, or X-axis, called?

The terms are used in bivariate plots, with the scatterplot considered on of the most common plots. Mathematicians often use the term "independent" and dependent" in reference to the two types of variables because they do not necessarily imply cause and effect. The term "predictor" can lead to falsely interpreting the variable's ability to predict beyond the data's limits. "Explanatory" can also be misinterpreted by giving an impression of a causal effect between the two variable, when the data is only showing associations.An example of the use of dependent and independent variables ..

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What is a scale in math?

In using scale, the ratio represents sizes of actual drawings or models. If the scale is 1:10, then the model or drawing is 10 times smaller than the actual object. If a die-cast car is listed as a 1:10 or 1/10 diecast, then the actual car is 10 times larger than the model car.Scale is often used to represent items like diecast cars, maps and other items. A real horse may be 1,500 mm high, but the drawing of the horse may be 150 mm high. As with the diecast car, this scale is represented by writing the ratio 1:10.Using scale drawings can also help with representing buildings. Architects often ..

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