Construct the appropriate number sets with the given information. use the sets to match the following:

given

a = ∅
b = b
c = then a ∪ b = b
d = a
e = then a ∩ b = b

1. if a b

2. if b a

3. a ∪ ∅

4. a ∩ ∅

5. b ∪ ∅

Mr. vector door is buying two new cowboy hats all together the hats cost $75.12 the second heart cost twice as much as the first hat what is the price of the more expensive at round to the nearest hundredth

Find the vertex for the parabola given by the function ƒ(x) = −3x2 − 6x.

Zed is making a centerpiece for his dining room table by putting sand in a cube-shaped vase. the vase is 0.25 meters in length, width, and height. he bought 25 kg of sand. assume the density of dry sand is 1,602 kgm3. what is the volume of the sand that zed purchased? the volume of the sand is approximately m3. enter your answer as the number that correctly fills in the blank in the previous sentence. if necessary, round your answer to six decimal places, like so: 42.536475