What is the common ratio of this geometric sequence? 64, 16, 4, 1

Giving ad is congruent to bc and angle bcd is congruent to angle adc prove d e is going to ce

Aswimming pool has an input pump for filling the pool and an output pump for emptying the pool. the input pump can fill the pool in 3 hours, and the output pump can drain the pool in 5 hours. as you go to bed, the pool is full, but a neighbor’s kid turns on the output pump. at midnight, you awake to find the pool half empty. immediately, you turn on the input pump, but you are sleepy and forget to turn off the output pump. at what time will the pool become full?

In the xy-plane, if the parabola with equation passes through the point (-1, -1), which of the following must be true?