Identify the mistakes, if any, with the following "proof" by strong induction. "theorem" for every nonnegative integer n, 5n = 0. basis step: 5 ⋅ 0 = 0. inductive step: suppose that 5j = 0 for all nonnegative integers j with 0 ≤ j ≤ k. write k + 1 = i + j, where i and j are natural numbers less than k + 1. by the inductive hypothesis, 5(k + 1) = 5(i + j) = 5i + 5j = 0 + 0 = 0.

The parking lot of a store has the shape shown. all angles are right angles. what is the area of the parking lot?

What is 32+4 x (16 x 1/2) -2 show your work}

On the first of each month, shelly runs a 5k race. she keeps track of her times to track her progress. her time in minutes is recorded in the table: jan 40.55 july 35.38 feb 41.51 aug 37.48 mar 42.01 sept 40.87 apr 38.76 oct 48.32 may 36.32 nov 41.59 june 34.28 dec 42.71 determine the difference between the mean of the data, including the outlier and excluding the outlier. round to the hundredths place. 39.98 39.22 0.76 1.21