The chemical element einsteinium-253 naturally loses its mass over time. The relationship between the elapsed time t, in weeks, since a sample of einsteinium was measured, and its mass, M(t), in grams, is modeled by the following function: 7t+5 M(t) = (0.97) Complete the following sentence about the weekly rate of change in the mass of the sample. Round your answer to two decimal places. Every week, the mass of the sample is multiplied by a factor of.

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

Atoy company is considering a cube or sphere-shaped container for packaging a new product. the height of the cube would equal the diameter of the sphere . compare the volume to surface area ratios of the containers. which packaging will be more efficient? for a sphere, sa =4πr²

What is the length of the segment joining the points at (4,5) and (6,-2) round to the nearest tenth if necessary