Aturtle is 20 5/6 inches below the surface of a pond. it dives to a depth of 32 1/4 inches. what was the change in the turtles position? write your answer as a mixed number and show your work.

How do the definitions, properties, and postulates you've learned about line segments, parallel lines, and angles to define the shapes of polygons

You are standing next to a really big circular lake. you want to measure the diameter of the lake, but you don't want to have to swim across with a measuring tape! you decide to walk around the perimeter of the lake and measure its circumference, and find that it's 400\pi\text{ m}400? m. what is the diameter dd of the lake?

Use the ratio test to determine whether ∑n=14∞n+2n! converges or diverges. (a) find the ratio of successive terms. write your answer as a fully simplified fraction. for n≥14, limn→∞∣∣∣an+1an∣∣∣=limn→∞.