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How do you cut a circular cake with three cuts to make eight equal pieces?

Cut the cake in half verticallyCut the cake in half from top to bottom through the center. This cut leaves two equal halves on the left and rightCut the cake in half horizontallyMake a separate cut horizontally across the center of the cake. This cut leaves four equal pieces, or wedges, of cake.Stack the wedgesStack the four wedges one on top of the other so it results in a four-wedge-tall structure. You may need to brace each side with a box or some other object to hold them steady. Make a cut through the centerEach wedge has a semi-circle on the back and a pointed edge on the front. Cut down..

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What are some math problems for 4th graders?

This is a sample word problem with multiplication of two-digit numbers and subtraction:\n"George had $150. He bought eight video games, which cost $15 each. How much money did George have left over?" To solve this problem, first multiply eight video games by $15. The result is $120. Then, subtract $120 from $150. George had $30 left over.\nFourth grade math generally includes multi-digit division with remainders. Here is a sample word problem:\n"Kate baked cookies for 10 of her friends. Her recipe made 45 cookies. How many cookies did each friend get, and how many cookies were left over?" To s..

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What does "manipulated variable" mean?

In computer programming, variables are manipulated by using functions and commands. Addition, subtraction and testing for a value are all types of variable manipulation. You may also manipulate variables when debugging the application to test your error handling or outcomes.\nThe best example of manipulated variable testing is the use of placebos in drug testing. When measuring the rate of a patient's recovery, the main variable is the medication that is being tested. The variable is manipulated between the patient taking the tested medication, a placebo or an alternative treatment.

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What is the nth term in mathematics?

When analyzing sequences, it is helpful to determine the rule that governs how additional numbers in the sequence are derived from earlier ones. In the example sequence 20, 40, 60, 80, ..., each subsequent term increases by 20 from the previous one. The first term is 20, the second is 40, and the nth term is given by the formula x = 20 times n. By determining the value of the nth term, one can identify the values of terms that appear much later in the sequence without needing to rely on numerous repeated computations.

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Where did algebra originate?

Algebra continued through the Greek classical period, and advanced considerably with Diophantus' book, "Arithmetica," written around 250 A.D. The Arabian mathematician Mohammed ibn-Musa al-Khowarizmi authored the book "Hisab al-Jabr w'al Muqabala" around 830 A.D. It is from this book that the word "algebra" originates. The field of algebra evolved further when philosopher and mathematician René Descartes incorporated the use of symbols, as demonstrated in his book, "La Géométrie," which was written in 1637.

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What is the standard form of a hyperbola?

On both the right and the left side or the top and the bottom of the hyperbola, it is at the exact same distance from the center. The distance that it is from the center at its vertices is predetermined and will vary from each hyperbola. The difference of the two foci of the hyperbola is fixed.

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How do you extract square roots?

Rearrange the given equationDetermine if the equation is in the form that allows for both sides of it to be manipulated. If the given equation is (x - 2)^2 - 8 = 0, rearrange it so that the 8 is on the right hand side: (x-2)^2 = 8.Find the square root of both sidesTake the square root of both sides and rewrite the equation: (x - 2) = (+/-)_sqrt(8). If the right-hand side of the equation is not a perfect square, reduce the radicand to a factor that is a perfect square. The factors of 8 are 2 and 4, and 4 is a perfect square. Thus, the equation ends up as (x - 2) = (+/-)_2 * sqrt(2).Solve for xS..

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How do I work out percentages on a calculator?

Percent literally means per hundred and is used to express what the numerator on a fraction would be if the denominator were equal to 100. By using the common denominator of 100, it becomes simpler to use fractions in calculations because the common number system is based on multiples of 10. This method of calculation allows for the simple movement of the decimal point rather than painstaking division.

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What is the difference between linear and nonlinear equations?

An example of a linear equation is y=x+3. The graph of this equation is a straight line running parallel to the x-axis at y=3. Linear equations may produce lines of any slope or location, but they always produce straight lines.\nAn example of a non-linear equation is y=x^2+3. The graph of this equation does not produce a straight line. It produces a symmetrical u-shaped curve called a parabola with its lowest point at y=3. Parabolas can be positive or negative, and the steepness of the curve can vary greatly, but the same basic shape is always produced.\nLinear equations produce straight lines..

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How do you calculate average?

Find the sum of elementsAdd up the values of each number in the set to find the sum. If the set of data is 21, 22, 24 and 26, then the sum is 93, because 21 + 22 + 24 + 26 = 93.Find the number of elements in the setCount the number of values in the set. If the set of data is 21, 22, 24 and 26, then the number of elements in the set is four, because there are four different values in the set.Divide the sum of elements by the number of elements in the setFind the average by using this formula: sum of elements / number of elements. If the set of data is 21, 22, 24 and 26, the average is 93 / 4. D..

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