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What is Regents Exam Prep for geometry?

The New York State Education Department administers Regents Exams through the Office of State Assessment. Exams are developed and implemented in the subject areas of English, social studies, mathematics and science and are aligned with the State of New York's assessment standards. Students in private, public and charter high schools must take these exams due to state mandates. Students may also take the exams meeting additional criteria in order to obtain an advanced designation on their diplomas.

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What is the square root of 27?

The square root of a number can be a positive number or a negative number. For instance, the square root of 25 is 5 or -5; this is because the square of a negative number is a positive number. The square of -5 is written as (-5) x (-5), and this gives 25. Similarly, the square of 5 is written as 5 x 5 and this also gives 25. Numbers that are not perfect squares such as 22, 30, 45 and 50 have their square roots as a decimal fraction.

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What is a criterion variable?

A dependent variable is a variable under manipulation. This is the variable that researchers want to see change. The measure of this change is indicative in the regression analysis. Independent variables correlate to a change in the dependent variable. The independent variables are the variables in the study that cannot be manipulated, such as gender or age. In a regression analysis, the independent variables are also the predictor variables. The analysis measures the change, or impact, of each predictor variable on the criterion variable. Researchers then input the information from each impac..

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How much is 2/4 of a dollar?

Articles from helpingwithfractions.com help describe how 2/4 is equal to 1/2 and 4/8 because these fractions are equivalent. According to the article "Understanding Equivalent Fractions", when dealing with fourths it's best to visualize anything that is composed of four pieces. A dollar bill is equal to four quarters for example, which means each quarter is equal to one fourth. Information found on helpingwithfractions.com encourages people struggling not to get confused by equivalent fractions.

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What is front end estimation?

No matter how many digits are in the number, with front end estimation, only the number in the leftmost position remains after rounding up or down. All other numbers are turned into zeros. For example, if 4,222 is used in a front end estimation problem, it becomes 4,000 before it is added or subtracted in the equation.

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What is the Maclaurin series for ln(1+x)?

A Maclaurin series is an expansion of the Taylor series around zero. A Taylor series is a power series expansion that gives an approximate value of a function. The general formula for a Maclaurin series is f(x) = f(0) + f'(0)x + f''(0)x^2/2! + x, where f'(0) is the derivative of f(x) with respect to x at x = 0, f''(0) is the second derivative and so on.

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What are benchmark fractions?

Benchmark fractions are easy for kids to visualize and understand, such as 1/4 or 1/2. They are often the first fractions students learn and become familiar with. If the student needs to compare 1/3 and 3/5, the benchmark of 1/2 helps determine which fraction is larger. If the student is familar with and understands that 1/3 is smaller than 1/2, while 3/5 is larger, therefore 3/5 is larger than 1/3.

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What is a method for dividing matrices?

Make sure the inverse can be taken and multipliedIn order to be multiplied, the number of columns of the first matrix must be the same as the number of rows in the second matrix. The inverse of a matrix can only be taken when the matrix is a square. The inverse of a matrix has the same dimensions. The divided matrix must have a number of rows equal to the first matrix's columns.Take the inverse of the second matrixThe inverse of a matrix is the matrix that would create the identity matrix if multiplied. The identity matrix is a square array that has values of 1 along the diagonal starting..

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How many lines of symmetry does a decagon have?

The number of lines of symmetry in regular polygons is equal to the number of sides of the polygon. A regular decagon is a two-dimensional polygon with 10 sides of equal length, so it has 10 lines of symmetry. Most irregular polygons do not have a line of symmetry, with the isosceles triangle and rectangle serving as two exceptions.

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What is the prime factorization of 72?

To determine the prime factorization of 72, the number should be broken down one step at a time by the lowest factor available, which in this case is 2: 72 = 36 x 2. Since 36 is not a prime number, the process should be repeated until all prime numbers are obtained: 36/2 = 18 x 2. Continuing on, 18/2 = 9, and 9/3 = 3. Combining all of the prime factors together, 72 is equal to 2 x 2 x 2 x 3 x 3.

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