Which of the following sets of policies appears to be most influenced by a libertarian ideology?
a. increase income taxes on the wealthy to raise revenue for social security benefits.
b. legalized the commercial sale of marijuana and reduce government spending on prisons.
c. eliminate the estate tax and promote government-funded prekindergarten education.
d. expand the welfare state and reduce spending on national defense.

b) legalized the commercial sale of marijuana and reduce government spending on prisons.

Explanation:

Libertarianism is a political philosophy which values freedom as the main principle. Through history, it's main proponents were Ayn Rand, Milton Friedman, Friedrich Hayek, etc.

Libertarians believe in the minimal state, or in other words that the state should not be involved into decision making process. It's whole purpose should be to ensure the freedom for people to make up their own decisions. In economy they believe in the laissez-faire free market capitalism. According to this, the sale of marijuana or other illegal substances should allowed. Also, government spending should be minimized, so can the private enterprises thrive freely. This includes spending on prisons, education and health - which are in the big part funded by the government.

giant impact theory - the moon was formed from the collision between earth and another mars-sized body.

colliding planetesimals hypothesis - the moon was formed from the same cloud of material as earth.

capture hypothesis - the moon was locked into orbit by earths gravity as it was passing by it.

accretion hypothesis - the moon was formed from collisions and combining of planetesimals.

i think this is right, if not and you know better let me know.