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What is an accurate Math input output table?

To determine the rule of an input output table, students should look for the pattern from the input number to the output number. For example, if the input numbers are 6, 10 and 15, and the associated output numbers are 10, 14 and 19, then the rule is "add 4." Students can use this rule to complete any missing numbers in the table. For example, an input number of 20 should have the output number of 24.

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What does writing a number in standard form mean in fourth grade math?

For example, the number 4,368 is already written in standard form. Written in expanded form is done by adding the value of the digits at each decimal place. 4000+300+60+8 is the same number in expanded form. Finally, there is word name, where the number is spelled out grammatically: four thousand, three hundred and sixty-eight. These three types of representations are commonly seen on fourth grade math tests.

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How many tiles make a rectangle that is two tiles wide?

A rectangle is a shape in which the length and the width are not necessarily the same. While the width of a rectangle is two tiles, the length could be anything from one to an infinite number of tiles while still remaining a rectangle. To determine the total number of tiles, or the area of the rectangle, multiply the width by the length. For example, if the width is two tiles and the length is three tiles, then the total number of tiles is six.

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What is the significance of compressibility factor?

A gas in its ideal state has a compressibility factor of exactly 1 unit. Real gases often deviate from an ideal compressibility factor due to variations in temperature and pressure. As pressure increases, the compressibility factor of a gas also increases. As temperature increases the compressibility factor of a gas decreases. Factors that have the highest net effect on the compressibility factor of a gas are high pressure states and low temperatures.

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What is a concave quadrilateral?

The definition of concave is curved inwards. When applied to polygons, this means that the shape must have some sort of dent in it (at least one vertex pointing inwards). The definition of a quadrilateral is a two-dimensional figure that has four sides. Therefore, a concave quadrilateral must satisfy both of these definitions. Furthermore, a concave quadrilateral must also satisfy the definition of a simple shape. A shape that is not simple intersects with itself. A concave quadrilateral is simple, then, by the fact that it does not intersect with itself at any point.\nA more accurate definiti..

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What does "Olds 442" stand for?

Oldsmobile wanted to give 442 prospective buyers a choice of automatic or standard transmission, and the Oldsmobile 442 was offered as an option package for F-85 and Cutlass models, though the motor struggled in the early years. By 1970, Oldsmobile had revised its bore and stroke to meet emissions and cost requirements, resulting in a “high-performance” vehicle packed with subpar durability. The company produced 19,330 of the 1970 Oldsmobile 442, of which 2,933 were convertibles; 1,688 were club coupes and 14,709 were hardtop coupes.

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How do you convert from slope intercept to standard form?

Determine what terms to changeIn many y = mx + b equations, the slope (m) or the y-intercept (b) is often given in a fraction. Sometimes both are. The fractions must be changed to integers in standard form.\n\nFor example, if the equation is y = (3/4)*x + 2, the 3/4 must be changed.\nIf the equation is y = 2x + 7/2, the 7/2 must be changed.Cancel out the denominatorsWhen canceling terms, make sure you perform the same operation on both sides of the equation.\n\nFor the equation y = (5/2)*x + 4/3, both 5/2 and 4/3 need to be cancelled out. To cancel a denominator of 2, multiply by a numerator o..

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How do you calculate the area of a carpet?

Create a diagram for referenceDraw a diagram of the rooms you plan to carpet. The diagram does not need to be to scale. Label the rooms.Measure each roomUse the measuring tape to measure the length and width of each room in your diagram. If the room is not a rectangle, divide it into rectangles, and take the measurement of each rectangle. Write down the measurements on your diagram using arrows to show the distance and direction covered by the measurement. Keep your units consistent. If you are measuring in feet, convert the measurement to inches so you can more easily multiply the values.\nMu..

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What is Pascal's triangle?

Even though other mathematicians studied these numbers before him, it was Pascal who developed the uses for the triangle and arranged the numbers in this fashion. Two main functions of Pascal's triangle are to find coefficients in binomial expansions and to calculate combinations. There are also many patterns present. The patterns arise in diagonals, in odds and evens (that resemble the Sierpinski triangle), horizontal sums, exponents of 11, squares and the Fibonacci Sequence.\nPascal's triangle is also a symmetrical mirror image. Sir Francis Galton created a machine based off of Pas..

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What is the difference between dot product and cross product?

The dot product is calculated by multiplying together the first element, the second element and so on of X and Y; these products are summed to yield the dot product. The dot product is also found by multiplying together the length of X, the length of Y and the cosine of the angle between X and Y. Calculating the cross product requires finding the determinant of a matrix in which the first row contains unit vectors, the second row contains the vector X and the third row contains the vector Y. Although the dot product is commutative (X dot Y is the same quantity as Y dot X), the cross product is..

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