Under his cell phone plan, Parker pays a flat cost of $36.50 per month and $5 per gigabyte. He wants to keep his bill under $45 per month. Write and solve an inequality which can be used to determine gg, the number of gigabytes Parker can use while staying within his budget.

Express the following as a function of a single angle, cos(60) cos(-20) - sin(60) sin(-20)

Acompany manufactures large valves, packed in boxes. a shipment consists of 1500 valves packed in 75 boxes. each box has the outer dimensions 1.2 x 0.8 x 1.6 m and the inner dimensions 1.19 x 0.79 x 1.59 m. the boxes are loaded on a vehicle (truck + trailer). the available capacity in the vehicle combination is 140 m3. each valve has a volume of 0.06 m3. - calculate the load factor on the box level (%). - calculate the load factor on the vehicle level (%). - calculate the overall load factor (%).

According to the data set, where should the upper quartile line of the box plot be placed?