Your travel guide contains a grid map of Sydney, with each unit on the grid representing 0.25 kilometers. If the Sydney Opera House is located at (−1,−5) and St. Mary's Cathedral is located at (7,−7), what is the direct distance (not walking distance, which would have to account for bridges and roadways) between the two landmarks in kilometers? Round your answer to two decimal places, if necessary.

Complete the standard form of the equation that represents the quadratic relationship displayed above, where a, b, and c are rational numbers.

The perimeter of a stage is 116 feet. it is 17 feet wide. how long is it?

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 (%).