A 100-watt (W) light bulb has resistance R = 144 ohms (Ω) when attached to household current, where the voltage varies as V = V0 sin(2πft) (V0 = 110 V, f = 60 Hz). The energy (in joules, J) expended by the bulb over a period of T seconds isU =

P(t)dt

where P = V 2/R (J/s) is the power. Compute U if the bulb remains on for 5 h.

Find the greatest common factor of the followig monomials 21u^5v,3u^4v^6, and 3u^2v^5

The volume of a rectangular prism is found by multiplying the length, width, and height of the prism. a rectangular prism has a width of 5x^2units, a length of 7x^3 units and a height of 2x^4 units. which is the volume of the prism in terms of x?

Question 2 (essay worth 10 points) (03.02 mc) in δabc shown below, point a is at (0, 0), point b is at (x2, 0), point c is at (x1, y1), point d is at x sub 1 over 2, y sub 1 over 2, and point e is at the quantity of x sub 1 plus x sub 2 over 2, y sub 1 over 2: triangle abc is shown. point d lies on segment ac and point e lies on segment bc. a segment is drawn between points d and e. point a is at the origin. prove that segment de is parallel to segment ab.