Part of a circuit has two resistors connected in parallel as shown in the figure. R1 is a constant resistor of 10 ohm, while R2 is a variable resistor with resistance that varies at a rate of 2 ohms per minute. The total, or effective, resistance, R, provided by this circuit is given by: 1/R = 1/R1 + 1/R2

At what rate does the effective resistance change when R2 is 100 ohms? Round off your answer to four decimal places.

Factor completely. 4p^2 + 36p + 81 express the answer in the form (ap + b)^2

() at a farm, animals are fed bales of hay and buckets of gain. each bale of hay is in the shape of a rectangular prism. the base side lengths 2 feet and 3 feet, and the height is 5 feet. each bucket of grain is a cylinder with diameter of 3 feet. the height of the bucket is 5 feet as the height of bale. a. which is larger in area, the rectangular base of the bale or the circular base of the bucket? explain how you know b. which is larger in volume, the bale or the bucket? explain how you know

The measure of one angle of an octagon is two times smaller that of the other seven angles. what is the measure of each angle?