Let n be any positive odd integer. Write the numbers 1,2,3,···,2non paper. Pick any two numbers i and j from them, and write down|i−j|on the paper and erase i and j. Now with this new set of numbers repeat the process until we have only one number left on the paper. Prove that this last number must be odd.

Adecibel is a logarithmic unit that can be used to measure the intensity of a sound. the function y = 10logx gives the intensity of a sound in decibels, where x is the ratio of the intensity of the sound to a reference intensity. the reference intensity is generally set at the threshold of hearing. use the graphing utility to graph the decibel function.a whisper has a sound intensity of 30 decibels. use your graph to you complete the following statement. the sound intensity of a whisper is times the reference intensity.

3x + 4y = 5 x- 3y = -7 solve by substitution

Drag the titles to the correct boxes to complete the pairs. the probability that kevin has diabetes and the test