Kenny Mc Pherson Potw2
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Kenny McPherson was named player of the week for March 22, 2010. The document asks what polynomial is the remainder when a polynomial is divided by another polynomial.
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Kenny Mc Pherson’S Potw
The document asks what polynomial is the remainder when an unspecified polynomial is divided by x^2 - 4x + 3. It provides no other context or information to determine the specific polynomials or calculate the remainder.
Jordan's solution
The document defines the function f(f(x)) and shows that it equals x+1. It then defines f(f(f(x))) and shows that it equals 3+2x. It concludes that for these functions to be defined, x cannot equal -1 or 2.
Rp solution
The document summarizes how to simplify the expression of fractions with denominators following an i, -i pattern. It groups the fractions into pairs where the denominators differ by 2i. There are 13 such pairs, with one term left over. The summary combines all the terms to arrive at the final simplified expression of 27i.
Ryan Proctor's POTW solution
The document summarizes how to simplify a pattern of fractions with increasing denominators. It shows that the fractions can be paired with a difference of 2i between each pair. Since there are 13 pairs, the overall expression can be written as 13 * (2i), which simplifies to 27i.
Sarah’s potw
A right triangle with sides of 3, 4, and 5 units has an area of 6 square units and a perimeter of 12 units, so the area and perimeter have the same numerical value of 12.
Sarah’s potw
A right triangle with sides of 3, 4, and 5 units has an area of 6 square units and a perimeter of 12 units, so the area and perimeter have the same numerical value of 12.
Keegan’s potw solution
This document describes using a quartic regression equation to solve a physics problem by finding the value of P(0). It explains that the easiest way is to input the points into the STAT menu, calculate the quartic regression in StatCALC, which will produce the best fit quartic equation with an R squared value of 1. This equation can then be used to find that P(0)=2.5.
Recommended
Kenny Mc Pherson’S Potw
The document asks what polynomial is the remainder when an unspecified polynomial is divided by x^2 - 4x + 3. It provides no other context or information to determine the specific polynomials or calculate the remainder.
Jordan's solution
The document defines the function f(f(x)) and shows that it equals x+1. It then defines f(f(f(x))) and shows that it equals 3+2x. It concludes that for these functions to be defined, x cannot equal -1 or 2.
Rp solution
The document summarizes how to simplify the expression of fractions with denominators following an i, -i pattern. It groups the fractions into pairs where the denominators differ by 2i. There are 13 such pairs, with one term left over. The summary combines all the terms to arrive at the final simplified expression of 27i.
Ryan Proctor's POTW solution
The document summarizes how to simplify a pattern of fractions with increasing denominators. It shows that the fractions can be paired with a difference of 2i between each pair. Since there are 13 pairs, the overall expression can be written as 13 * (2i), which simplifies to 27i.
Sarah’s potw
A right triangle with sides of 3, 4, and 5 units has an area of 6 square units and a perimeter of 12 units, so the area and perimeter have the same numerical value of 12.
Sarah’s potw
A right triangle with sides of 3, 4, and 5 units has an area of 6 square units and a perimeter of 12 units, so the area and perimeter have the same numerical value of 12.
Keegan’s potw solution
This document describes using a quartic regression equation to solve a physics problem by finding the value of P(0). It explains that the easiest way is to input the points into the STAT menu, calculate the quartic regression in StatCALC, which will produce the best fit quartic equation with an R squared value of 1. This equation can then be used to find that P(0)=2.5.
Senior topics euler's line
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The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive function. Exercise causes chemical changes in the brain that may help protect against mental illness and improve symptoms for those who already suffer from conditions like anxiety and depression.
Kenny Mc Pherson Potw2
Kenny McPherson was named player of the week for March 22, 2010. The document asks what polynomial is the remainder when a polynomial is divided by another polynomial.
Kenny Mc Pherson Potw2
Kenny McPherson was named player of the week for March 22, 2010. The document asks what polynomial is the remainder when a polynomial is divided by another polynomial.
Kenny Mc Pherson Potw2
Kenny McPherson was named player of the week for March 22, 2010. The document asks what polynomial is the remainder when a polynomial is divided by another polynomial.
Kenny Mc Pherson Potw
Kenny McPherson was named player of the week on March 22, 2010. The question asks what polynomial is the remainder when x^3 - x^2 + 1 is divided by x^2 - 1.
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Jillians Potw
1) The document describes a geometry problem where a square is drawn with labeled line segments of lengths AP=7, BP=35, CP=49, and the variable DP=x. Altitudes are drawn from point P to each side.
2) Using the Pythagorean theorem across various triangles formed by the lines and altitudes sets up four equations.
3) Combining and subtracting the equations isolates x2, allowing x to be solved for as 35.
Sara Math Potw Solution
Sara Dufresne outlines a solution to find the shaded area between two overlapping circles. She first calculates the area of each circle and triangle formed between them. She then finds the area of each sector formed by the triangles. Finally, she determines the shaded area by taking the difference between the total triangle area and summed sector areas.
Jillian Fluets Problem Of The Week
A point P is inside a square S. The distances from P to the four vertices of the square are given as 7, 35, 49, and x. Using the triangle inequality theorem, it can be determined that x must be between 35 and 49, so x = 42.
Solution To Problem Of The Week Mike Barney
This document provides the solution to determining for which values of x an expression is undefined. It states that the denominator must equal zero, so the quadratic formula is used to set the denominator equal to zero and solve for x. The only value found to make the expression undefined is x = -3.
Natalie Helmer's Potw
The problem asks to determine without a calculator whether the square root of two or the cube root of three is greater. The square root of two is the length of the side of a unit square, and is approximately 1.414. The cube root of three is the length of the side of a unit cube with a volume of three, and is approximately 1.442. Therefore, the cube root of three is greater than the square root of two.
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The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive function. Exercise causes chemical changes in the brain that may help protect against mental illness and improve symptoms.
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The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive functioning. Exercise causes chemical changes in the brain that may help boost feelings of calmness, happiness and focus.
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Kenny Mc Pherson Potw2
Kenny McPherson was named player of the week for March 22, 2010. The document asks what polynomial is the remainder when a polynomial is divided by another polynomial.
Kenny Mc Pherson Potw2
Kenny McPherson was named player of the week for March 22, 2010. The document asks what polynomial is the remainder when a polynomial is divided by another polynomial.
Kenny Mc Pherson Potw2
Kenny McPherson was named player of the week for March 22, 2010. The document asks what polynomial is the remainder when a polynomial is divided by another polynomial.
Kenny Mc Pherson Potw
Kenny McPherson was named player of the week on March 22, 2010. The question asks what polynomial is the remainder when x^3 - x^2 + 1 is divided by x^2 - 1.
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The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive function. Exercise causes chemical changes in the brain that may help protect against mental illness and improve symptoms.
Jillians Potw
1) The document describes a geometry problem where a square is drawn with labeled line segments of lengths AP=7, BP=35, CP=49, and the variable DP=x. Altitudes are drawn from point P to each side.
2) Using the Pythagorean theorem across various triangles formed by the lines and altitudes sets up four equations.
3) Combining and subtracting the equations isolates x2, allowing x to be solved for as 35.
Sara Math Potw Solution
Sara Dufresne outlines a solution to find the shaded area between two overlapping circles. She first calculates the area of each circle and triangle formed between them. She then finds the area of each sector formed by the triangles. Finally, she determines the shaded area by taking the difference between the total triangle area and summed sector areas.
Jillian Fluets Problem Of The Week
A point P is inside a square S. The distances from P to the four vertices of the square are given as 7, 35, 49, and x. Using the triangle inequality theorem, it can be determined that x must be between 35 and 49, so x = 42.
Solution To Problem Of The Week Mike Barney
This document provides the solution to determining for which values of x an expression is undefined. It states that the denominator must equal zero, so the quadratic formula is used to set the denominator equal to zero and solve for x. The only value found to make the expression undefined is x = -3.
Natalie Helmer's Potw
The problem asks to determine without a calculator whether the square root of two or the cube root of three is greater. The square root of two is the length of the side of a unit square, and is approximately 1.414. The cube root of three is the length of the side of a unit cube with a volume of three, and is approximately 1.442. Therefore, the cube root of three is greater than the square root of two.
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