Given a 2-digit sequence (which can start with 0), let us define a nudge as the operation of either increasing or decreasing one of the digits by $1, or changing a $0 to a $9 or a $9 to a $0. For example, we can nudge $19 to get $09, $29, $18, or $10. Suppose S is a set of 2-digit sequences such that it takes at least $3 nudges to transform any element of S into another element of S. Requried:
What is the maximum possible number of elements of S?

Acompany recorded a check in its accounting records as $87. however, the check was actually written for $78 and it cleared the bank as $78. what adjustment is needed to the personal statement? a. decrease by $9 b. increase by $9 c. decrease by $18 d. increase by $9

In a high school with 3000 students, counselors are putting together a math tutoring program for the neighboring middle school. they plan to invite high school students with high average test scores to tutor middle school students, and they would like to offer gift cards to the student tutors. the counselors have a spreadsheet showing each student’s average test scores, and in order to find out how many gift cards they should purchase, the counselors need to count how many students would qualify to become tutors. which type of function would best the counselors determine the number of eligible students?

What pitfall should type-b personalities avoid? controlling every aspect of a project allowing slackers to get away with doing next to nothing covering for an absent employee doing all a group's work to stay ahead of a deadline?