A 240 volt, 60Hz branch circuit contains a resistance baseboard heater of 30Ω in parallel with a single phase AC induction motor. The impedance of the motor is 45Ω with a 80% power factor lagging. Calculate the total line current and PF for this circuit.

Adaylily farm sells a portion of their daylilies and allows a portion to grow and divide. the recursive formula an=1.5(an-1)-100 represents the number of daylilies, a, after n years. after the fifth year, the farmers estimate they have 2225 daylilies. how many daylilies were on the farm after the first year?

Find x to the nearest hundredth place

It says factor each expression 49x-28?