A baseball pitcher is frustrated because the batter hit a homerun off of the last pitch. As the batter is running around the bases with a huge grin, the pitcher is given a baseball from the umpire. The pitcher then proceeds to throw the baseball straight upward.

Given the position vector of the particle r(t)=(t+1)i+(t^2−1)j+2t k, find the particle's velocity and acceleration vectors at t=1

Agroup of students is studying convection currents. they fill two identical balloons with the same amount of helium. one balloon is placed in a freezer and the other in an area with warm air. after 10 minutes, the balloons are released from a height of 1 meter. which of the following do the students most likely observe? question 2 options: the balloons rise at the same rate. both balloons are the same size. the ballons both rise. the cold ballon is larger than the warm balloon. the cold balloon expands and rises. the warm balloon shrinks and sinks. the warm balloon expands and rises. the cold balloon shrinks and sinks.

The frequencies refer to the sample data collected from a population of interest when performing a hypothesis test comparing two or more population proportions.