A carpenter is building a doll house based on an existing full-size house. If the carpenter uses a 3
inch to 1 foot scale, the traditional scale for doll houses built in the 20th century, and the actual house is 30 feet high, how high will the dollhouse be in inches?

Find the solution of this system of equation -7x+y=-20 9x-3y=36

The measure of an angle is 117°. what is the measure of a supplementary angle?

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)