House current, which has an rms voltage of 110 v and a frequency of 60 hz, drives a resistor of a variable resistance set at r = 50ω? , a capacitor of fixed capacitancec = 20 μf, and an inductor of variable inductance, connected in series. (a) what is the power absorbed by the circuit if l = 10 mh?
(b) what would be the power drawn if the resistance were halved without changing the setting of the inductance?
(c) what is the maximum power drawn in part (b)?

Atank holds 1000 gallons of water, which drains from the bottom of the tank in half an hour. the values in the table show the volume v of water remaining in the tank (in gallons) after t minutes.t(min) 5 10 15 20 25 30v(gal) 694 444 250 111 28 0(a) if p is the point (15, 250) on the graph of v, find the slopes of the secant lines pq when q is the point on the graph with t = 5, 10, 20, 25, and 30.(b) estimate the slope of the tangent line at p by averaging the slopes of two secant lines.(c) use a graph of the function to estimate the slope of the tangent line at p. (this slope represents the rate at which the water is flowing from the tank after 15 minutes.)show all steps.

Because light travels in a straight line and casts a shadow, isaac newton hypothesized that light is

If the radius of curvature of the cornea is 0.75 cm when the eye is focusing on an object 36.0 cm from the cornea vertex and the indexes of refraction are as described before, what is the distance from the cornea vertex to the retina? express your answer to two significant