Alice is skiing along a circular ski trail that has a radius of 2.5 km. She starts at the 3-o'clock position and travels in the CCW direction. Alice stops sking when she is 2.251 km to the right and 1.087 km above the center of the ski trail. Imagine an angle with its vertex at the center of the circular ski trail that subtends Alice's path.

a. How many radians has the angle swept out since Alice started skiing?

b. How many km has Alice skied since she started skiing?

An electronics manufacturer wants to know if customers would be interested in a detachable keyboard for their tables and if so, what the most important features would be. the manufacturer partners with an electronics store to include copies of the survey with every purchase at that store for one week. which of the following best explains why this random sample is unlikely to be a good representative sample of tablet owners' preferences for a detachable keyboard? a) one week is likely not enough time to get a large enough sample. b) most people won't bother to send in the survey, which is likely to skew the results c) there is no way to verify whether the responders to the survey actually own a tablet d) the survey is biased because it was conducted through an electronics store, not the general population

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Which describes the difference between the graph of f(x)=x^2 and g(x)=-(x^2-2)