Determine the points in the interval (11, 66) at which the function has discontinuities. for each point state the conditions in the continuity checklist that are violated. in order for f to be continuous at a, the following three conditions must hold. 1. f(a) is defined (a is in the domain of f). 2. modifyingbelow lim with x right arrow alimx→a f(x) exists. 3. modifyingbelow lim with x right arrow a f left parenthesis x right parenthesis equals f left parenthesis a right parenthesislimx→a f(x)=f(a) (the value of f equals the limit of f at a).

Muscles, a membership-only gym is hoping to open a new branch in a small city in pennsylvania that currently has no fitness centers. according to their research approximately 12,600 residents live within driving distance of the gym. muscles sends out surveys to a sample of 300 randomly selected residents in this area (all of who respond) and finds that 40 residents say they would visit a gym if one was located in their area. based on the past survey research, muscles estimates that approximately 30% of these respondents would actually join the gym if they opened one in the area. based on this information and the results of the sample survey, about how many residents should muscles expect to join its new branch? a) 134 b) 504 c) 1,680 d) 3,780

Mr. brettler is hanging up a 5-foot tall rectangular welcome sign in the gym. he has drawn a sketch on a coordinate grid. he has the lower vertices of the sign at (9, –3) and (–6, –3). where would the upper vertices be on the grid?

Complete each sentence with the correct form of the verb ser or estar to say where the following people are from or where they are right now claudia y maria en méxico