Read the excerpt from The Code Book. A theoretical breakthrough would be a fundamentally new way of finding Alice's private key. Alice's private key consists of p and q, and these are found by factoring the public key, N. The standard approach is to check each prime number one at a time to see if it divides into N, but we know that this takes an unreasonable amount of time.

Which statement is best supported by this excerpt?

The author uses a narrative style to explain encryption.
The author includes several historical narratives.
The author adds many interesting descriptive details.
The author writes with great scientific detail.

Which theme is shared by both text ? a. it is unwise to offend the gods. b. all people deserve to be treated with respect. c. pride and overconfidence can lead to a person's desmise. d. it is important to maintain a positive attitude, even when you lose.

Read the passage, then answer the question that follows. no one could have seen it at the time, but the invention of beet sugar was not just a challenge to cane. it was a hint—just a glimpse, like a twist that comes about two thirds of the way through a movie—that the end of the age of sugar was in sight. for beet sugar showed that in order to create that perfect sweetness you did not need slaves, you did not need plantations, in fact you did not even need cane. beet sugar was a foreshadowing of what we have today: the age of science, in which sweetness is a product of chemistry, not whips. in 1854 only 11 percent of world sugar production came from beets. by 1899 the percentage had risen to about 65 percent. and beet sugar was just the first challenge to cane. by 1879 chemists discovered saccharine—a laboratory-created substance that is several hundred times sweeter than natural sugar. today the sweeteners used in the foods you eat may come from corn (high-fructose corn syrup), from fruit (fructose), or directly from the lab (for example, aspartame, invented in 1965, or sucralose—splenda—created in 1976). brazil is the land that imported more africans than any other to work on sugar plantations, and in brazil the soil is still perfect for sugar. cane grows in brazil today, but not always for sugar. instead, cane is often used to create ethanol, much as corn farmers in america now convert their harvest into fuel. –sugar changed the world, marc aronson and marina budhos how does this passage support the claim that sugar was tied to the struggle for freedom? it shows that the invention of beet sugar created competition for cane sugar. it shows that technology had a role in changing how we sweeten our foods. it shows that the beet sugar trade provided jobs for formerly enslaved workers. it shows that sweeteners did not need to be the product of sugar plantations and slavery.

What is the speaker telling the grecian urn in these lines from “ode on a grecian urn”? he wishes the urn could talk so he could hear its stories. he knows the urn will still be around for others to see after he is dead. he fears that when he gets old, the urn will suffer because nobody else will take care of it. he wishes the people frozen on the urn could warm up and come to life.