The points S, T, U and V all lie on the same line segment, in that order, such that the ratio of ST : TU : UV is equal to 2 : 1 : 6. if SV = 27, find UV

From his studies of coptic, champollion knew that the egyptian word for "sun" was pronounced rah. he wrote down the first two letters of that sound, ra. next he put a question mark for the unknown middle hieroglyph. then, at the end, he wrote ss, the sound of the last two hieroglyphs. he studied the combination: ra ? ss. suddenly he remembered a famous pharaoh whose name appeared in ancient greek chronicles and also in the biblical book of exodus: rameses, or ramesses. could this be a hieroglyphic representation of ramesses' name? based on the excerpt, what detail did champollion need to conclude that the hieroglyphics might represent ramesses’s name?

Read this passage: many manufacturers prefer plastic as a material for containers because it can be molded into many shapes. but plastic is not very strong. it must be fused with glass or steel for strength. it is also not very durable. even the strongest plastic can break under enough pressure. the biggest disadvantage to using plastic is that it does not decompose. while plastic can be recycled, doing so is tedious and difficult. while it may be more expensive and difficult to work with, aluminum is a much stronger building material with far greater tensile strength. it conducts electricity because it is metal. best of all, aluminum is very easy to recycle. even if it is thrown away, it decomposes much more quickly than most manufacturing materials. how does the compare-and-contrast organizational pattern of the passage support the author's purpose? a. the passage gradually leads up to the point about decomposition to inform the reader about the importance of recycling plastics. b. the passage lists the advantages and disadvantages of each material to make a case for the use of plastic and not aluminum in containers. c. the passage begins with a description of plastic's problems in order to call attention to the good qualities of aluminum. d. the passage shows the superiority of aluminum in order to make a case for the production of stronger plastics.

How do the soldiers' feelings about macbeth in act i differ from their laterfeelings about him in act v? a. in act i, theymere jealous of his rise to power; in act v, they feelsorry for him and the burdens he bears.b. in act i, they think he is a bully; in act v, they believe he will make agood king if given enough time to rule.c. in act i, they think he is brave and honorable; in act v, they think heis an insane tyrant who must be defeated.d. in act i, they are frightened of his fierceness; in act v, they areafraid of what horrible crimes he will commit next.