An unknown number is greater than 456,782 but less than 489,211. the thousands digit is greater than 4. the ten thousands digit is not 6 or 7. give a range of numbers that the unknown number could be.

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?

Find the domain of the following expression: 1/(√x)-2

Use the elimination method to solve the systems of equations.choose the correct ordered pair. 7x+4y=39