Materials A and B decay over time. The function for the amount of material A is A(t) = 1000(0.5)^2t and for the amount of material B is
B(t) =
1000(0.25)^t, where t represents time in days. On which day will
the amounts of material be equal?
(1) initial day, only
(3) day 5, only
(2) day 2, only
(4) every day

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

Aramp rises 4 feet over a distance of 10 feet. what is the length of the ramp?

Shape a is congruent to shape , as shown by a reflection across the y-axis and then a translation down units. shape b is congruent to shape , as shown by a reflection across the y-axis and then a translation down units.