Larry is making custom signs to sell at his shop. the cost of making each sign is $50 plus $4.50 per sign, he will sell them for $15 each. find the number of signs he must sell to make a profit

Which of the following would be a good name for the function that takes the weight of a box and returns the energy needed to lift it?

In each of the cases that follow, the magnitude of a vector is given along with the counterclockwise angle it makes with the +x axis. use trigonometry to find the x and y components of the vector. also, sketch each vector approximately to scale to see if your calculated answers seem reasonable. (a) 50.0 n at 60.0°, (b) 75 m/ s at 5π/ 6 rad, (c) 254 lb at 325°, (d) 69 km at 1.1π rad.

Find the perimeter of the triangle with vertices  d(3, 4),  e(8, 7), and  f(5, 9). do not round before calculating the perimeter. after calculating the perimeter, round your answer to the nearest tenth.