Assume your computer is capable of solving a 1000 x 1000 system (of 64-bit numbers) in 1 second using gauss elimination. solve the following: a) how many floating-point operations per second (flops) is your computer capable of? b) how long will it take to solve a 10,000 x 10,000 system using gauss elimination? c) how long will it take to solve a 10,000 x 10,000 system with a banded structure of p = q = 2 using banded gauss elimination? d) how long will it take to solve a 1000 x 1000 system using gauss-seidel with 50 iterations?

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? a. the balloons both rise. the cold balloon is larger than the warm balloon. b. the balloons rise at the same rate. both balloons are the same size. c. the warm balloon expands and rises. the cold balloon shrinks and sinks. d. the cold balloon expands and rises. the warm balloon shrinks and sinks.

8) a mixture of he, ne and ar has a pressure of 7.85 atm. if the ne has a mole fraction of 0.47 and 8) ar has a mole fraction of 0.23, what is the pressure of he? a) 4.2 atm b) 3.7 atm c) 5.5 atm d) 2.4 atm e) 1.8 atm

May someone me with these science questions