As part of a quality-control program, the chess sets manufactured by jones brothers are subjected to a final inspection before packing. the rate of increase in the number of sets checked per hour by an inspector t hr into the 8 a. m. to 12 noon shift is approximately:
n'(t) = −3t^2 + 12t + 45 (0 < _ t < _4).
(a) find an expression n(t) that approximates the number of sets inspected at the end of t hours.

Rewrite the following without an exponent. (5/8)-1

Asix-sided number cube is rolled twice. what is the probability that the first roll is an even numbe and the second roll is a number greater than 4?

The figure shows triangle def and line segment bc, which is parallel to ef: triangle def has a point b on side de and point c on side df. the line bc is parallel to the line ef. part a: is triangle def similar to triangle dbc? explain using what you know about triangle similarity. part b: which line segment on triangle dbc corresponds to line segment ef? explain your answer. part c: which angle on triangle dbc corresponds to angle f? explain your answer. asap