Recall that we define [5 pts] zn = {[0],−1]} to be the set of congruence classes modulo n. also define the function fn : zn →zn, f(x) = x2. for example, z11 = {[0],[1],}, and f11([5]) = [3], since 52 = 25 ≡ 3 (mod 11). (a) create a table showing all input-output pairs for the function f11 : z11 →z11. (b) show that f11 is neither surjective nor injective. (c) show that fn is never injective for integer n ≥ 3. (hint: consider what happens to the congruence classes [1] and [n−1].)

Arestaurant chef made 1 1/2 jars of pasta sauce. each serving of pasta requires 1/2 of a jar of sauce. how many servings of pasta will the chef be bale to prepare using the sauce?

Answer asap ill give ! ’ a sample of radioactive material decays over time. the number of grams, y , of the material remaining x days after the sample is discovered is given by the equation y = 10(0.5)^x. what does the number 10 represents in the equation? a. the half-life of the radioactive material, in days b. the amount of the sample, in grams, that decays each day c. the time, in days, it will take for the samples to decay completely d. the size of the sample, in grams, at the time the material was discovered

X– 4 = 12.5 can be written in words as