Aroom is a square with walls 40 ft long each. if they hang the lights around the perimeter of the ceiling and then from the opposite corners to opposite corners to create an x on the ceiling, how many feet of lights are needed? use special triangles to answer both in the exact feet and to the nearest foot. if lights come in 30 ft strands. how many strands are needed?

Express in the simplest form: (x^2+9x+14/x^2-49) / (3x+6/x^2+x-56)

Recall that the owner of a local health food store recently started a new ad campaign to attract more business and wants to know if average daily sales have increased. historically average daily sales were approximately $2,700. the upper bound of the 95% range of likely sample means for this one-sided test is approximately $2,843.44. if the owner took a random sample of forty-five days and found that daily average sales were now $2,984, what can she conclude at the 95% confidence level?

Which steps could be part of the process in algebraically solving the system of equations, y+5x=x^2+10 and y=4x-10