The other day, you make a thoughtless remark about the women's rights movement. the comments seemed to be made , as if on a whim, so you decided to set the record straight

The correct answers are Inane and Arbitrarily.

These two answers fit the blank spaces that were indicated in the sentence.
Inane literally means being foolish, absurd, senseless, etc. The first blank space probably fits this word because it says that you made a thoughtless remark. With the word inane, the sentence can be understood as being insulted or was made as a laughing stock.

The changes to agriculture in the united states since 1900 is that increased mechanization has increased food production, thereby increasing the need for labor. there has been an increased need for higher speeds of food production due the fact that the population in the united states continues to rise.