Allen has been asked to replicate a scientific diagram in his notebook. The teacher has told him that variations in lengths of up to 2 centimeters are acceptable. If a test tube is 7 centimeters long in the original diagram, write an equation to help Allen find the maximum and minimum acceptable lengths of the test tube in his diagram. (Let x represent the length of the test tube in the new diagram.)

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?

Tyler enjoys the fish so much that after his birthday his family decides to take him to a famous aquarium a tank at the aquarium is similar to his tank with the scale factor of 8 how many times greater is the volume of the tank at the aquarium than the volume of tyler tank

Find the arc length of the semicircle. 7the grade