Cups are being manufactured for a set. the diameter of the mouth of the cup must be 5in ± 8%. a sample of cups have the diameters shown in the table. which cup is not within the specified tolerance?

Solve the inequaliy: (x^2+2)(x−2)^2(6−2x)> 0

Write the standard form of an equation with (see picture below)

Titus works at a hotel. part of his job is to keep the complimentary pitcher of water at least half full and always with ice. when he starts his shift, the water level shows 4 gallons, or 128 cups of water. as the shift progresses, he records the level of the water every 10 minutes. after 2 hours, he uses a regression calculator to compute an equation for the decrease in water. his equation is w –0.414t + 129.549, where t is the number of minutes and w is the level of water. according to the equation, after about how many minutes would the water level be less than or equal to 64 cups?