Let g be a group and h a normal subgroup of finite index. suppose that p is a prime dividing [g: h]. prove that g has a subgroup such that h ⊆ k ⊆ g with [k: h] =p

The reaction below shows a system in equilibrium. how would a decrease in temperature affect this reaction? a. the rate of formation of the gases would increase. b. the equilibrium of the reaction would shift to the left. c. the equilibrium would shift to cause the gases to sublime into solids. d. the chemicals on the left would quickly form the chemical on the right.

Convert a speed of 201 cm/s to units of inches per minute. also, show the unit analysis by dragging components into the unit‑factor slots.

Is ice cream a mechanical mixture or solution why?