For each of the following questions, briefly explain your answer. (20 points) a. if i prove an algorithm takes 2 ) worst-case time, is it possible that it takes o(n) on some inputs? b. if i prove an algorithm takes 2 ) worst-case time, is it possible that it takes o(n) on all inputs? c. if i prove an algorithm takes θ 2 ) worst-case time, is it possible that it takes o(n) on some inputs? d. if i prove an algorithm takes θ 2 ) worst-case time, is it possible that it takes o(n) on all inputs?

Acharge of 8.4x10^-4 c moves at an angle of 35 degrees to a magnetic field that has a field strength of 6.7x10^-3 t. if the magnetic force is 3.5 x10 ^-2 n, how fast is the charge moving?

How many hydrogen (h) atoms are in one molecule of sulfuric acid, h2so4? (1 points) 1 2 4 7

Scout feels ill one day before school. her mother puts a thermometer in her mouth and the temperature begins to climb to 100°f. what is happening between the cooler thermometer and scout's body? a) scout's body is applying a force to the particles in the thermometer. b) kinetic energy is being transferred from her mouth to the thermometer. c) potential energy is being lost by the thermometer and gained by scout's body. d) the potential energy stored in foods is converted to mechanical energy to raise the mercury in the thermometer.