Let w represent the sum of vectors u and v. Find the magnitude of w and the angle between w and u given the following information: |u| = 14
|v| = 16
The angle between u and v is 120°.

The ratio of two numbers is 5 to 4. the sum of the numbers is 99. what number is the greater of the two numbers?

Manny bought 12 pounds of vegetables at the supermarket. 75% of the vegetables were on sale. how many pounds of vegetables were not on sale? 98 points : )

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?