A computer repair shop buys fan cables from two suppliers. A west coast supplier sells the cables for $4.39 each and charges $38 to ship the order. An east coast supplier sells the cables for $3.14 each and charges $63 for shipping. How many cables () must the repair shop purchase so the total cost from each supplier is the same?

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 (%).

Prove sin2a + cos2a - 1 / sin2a + cos2a + 1 = 1 - tana / 1 + cota

What is the solution set for z+10=z-2