Let d = {d ∈ q | d < 2} and j = {j ∈ q | j < 8} be dedekind cuts. consider the set dj = {dj | d ∈ d, j ∈ j}.
is dj a dedekind cut? justify your answer.

Use the discriminant to describe the roots of each equation. then select the best description. 2m2 + 3 = m double root real and rational roots real and irrational roots non-real roots

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 (%).

The volume of a cube-shaped shipping container is 13,824 cubic inches. find the edge length of the shipping container.