91Ó°ÊÓ

Perform these computations. $$\frac{1}{2}-\left(-\frac{1}{4}\right)$$

Solve each problem. Cooperative learning The sum of the integers from 1 through \(n\) is \(\frac{n(n+1)}{2}\) The sum of the squares of the integers from 1 through \(n\) is \(\frac{n(n+1)(2 n+1)}{6} .\) The sum of the cubes of the integers from 1 through \(n\) is \(\frac{n^{2}(n+1)^{2}}{4} .\) Use the appropriate expressions to find the following values. a) The sum of the integers from 1 through 50 b) The sum of the squares of the integers from 1 through 40 c) The sum of the cubes of the integers from 1 through 30 d) The square of the sum of the integers from 1 through 20 e) The cube of the sum of the integers from 1 through 10

Write an algebraic expression for each problem. Parthenon. To obtain a pleasing rectangular shape, the ancient Greeks constructed buildings with a length that was about \(\frac{1}{6}\) longer than the width. If the width of the Parthenon is \(x\) meters and its length is \(x+\frac{1}{6} x\) meters, then what is the perimeter? What is the area?

Write an algebraic expression for each problem. Square. If the length of each side of a square sign is \(x\) inches, then what are the perimeter and area of the square?

Perform these computations. $$\frac{1}{8}-\left(-\frac{1}{4}\right)$$

Perform these computations. $$-57 \div 19$$

Perform these computations. $$0 \div(-36)$$

Perform these computations. $$|-17|+|-3|$$

Perform these computations. $$64-|-12|$$

Perform these computations. $$0 \div(-0.15)$$