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##### Instructions: Quite often, I have heard many people say that "a managers job is simply to...

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##### Problm tlue #fiuuiticn e Ib" litait the ~ WZaat kape E Camzl Mtelc bit Eaun tA chalze Ihe udt)? follorwing statenents deteTmina cath &ur Tlte exbsts ~quene (ea} ahnt 6omtigi Iaut dots Eot AtElv Tuut AAaknl ; Tnae AqMctice (a-} tlat caticfin BtAle E MEerunatOor cumere (C) The Antcnleut runnAen eettteot of liru &a aot AK Elt (inma + n comepoundilz ~Iletkee K(C) + Hiv # nrool Stateutnt Thte Nacuch tlint for #Bety [nitivg Eqnmnlat in 24 then |en Stntemct Fur Een} tlxte exists Ial Khnr {

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##### 5: (13 points) Modulo 25 Note the letter 2 is nol incluckex].B C DM N 12 13P Q R 5 T U W X 15 16 17 18 19 20 21 22 23 2410EncryptionStep 1: Break into blocks o size 2. COIert to col vectorsInod 25Step 2: Convert each v to Mv + N where15 10 20MadStep 3: Decode back to letters (not blocks) .Eucrypt OV ERb) Fiud M- mnod 25 , then explain the decryption method.Decrypt GPDF

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##### EExercise 60. Assume that we have a set S. We are also given two disjoint subsets B1 and Bz of S and a collection Ei, for i â‚¬ N, pairwise disjoint subsets of S.(a) Show that for A C S wehave that An B1 and An B2 are disjoint: If you can do the next part without doing this one you may skip it (b) Show that for A S S we have that An Ei is a collection of pairwise disjoint sets_Show that for A C S we have thatAn(B1 U Bz) = (AnB) U(AnB2).If you can do the next part without doing this one you may s

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##### Sunset Lake is stocked with 2400 rainbow trout and after year the population has grown to 7000. Assuming logistic growth with a carrying capacity of 24000, find the growth constant k , and determine when the population will increase to 12800.The population will increase to 12800 after ~years_yr-1

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