If it is culture you are in search of, then:

The Aquarium of the Pacific and the Queen Mary Museum in Long Beach are a fun day.

The Los Angeles Museum of Science and History in Downtown is really cool to visit.

The Getty Museum in West LA is definitely worth while.

The LA Arboretum in Arcadia is beautiful.

And a concert (any concert) at the Hollywood Bowl is a must do!
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I'd rather be ignorant than stupid. Ignorance implies a lack of knowledge which is easily correctable through education. Stupidity implies an inability to learn. Therefore; ignorance is temporary, stupidity is forever!