Two six-sided number cubes are rolled. What is the probability that a product of 12 is rolled? Express your answer as a decimal. Round to the nearest hundredth if necessary.

If y varies directly as x2 and y=6 when x=6, find the constant of variation.

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?

You eat $0.85 for every cup of hot chocolate you sell. how many cups do you need to sell to earn $55.25