Let P(x) be the statement "x is a clear explanation," (x) be the statement "x is satisfactory," (x) be the statement "x is an excuse." Let the domain for x consists of all English written text. Express each of the statements below using quantifiers, the predicates P(x), (x), (x) and logical connectives, including negations if needed. a. Some clear explanations are excuses. b. There are no satisfactory excuses. [Note this is equivalent to: All excuses are not satisfactory.]

Which function is odd check all that apply a. y=sin x b. y=csc x c. y=cot x d. y=sec x

The avenues in a particular city run north to south and are numbered consecutively with 1st avenue at the western border of the city. the streets in the city run east to west and are numbered consecutively with 1st street at the southern border of the city. for a festival, the city is not allowing cars to park in a rectangular region bordered by 5th avenue to the west. 9th avenue to the east, 4th street to the south, and 6th street to the north. if x is the avenue number and yis the street number, which of the following systems describes the region in which cars are not allowed to park? 5th ave 9th ave

Girardo is using the model below to solve the equation . girardo uses the following steps: step 1 add 4 negative x-tiles to both sides step 2 add 1 negative unit tile to both sides step 3 the solution is which step could be adjusted so that gerardo's final step results in a positive x-value? in step 1, he should have added 4 positive x-tiles to both sides. in step 1, he should have added 3 negative x-tiles to both sides. in step 2, he should have added 4 negative unit tiles to both sides. in step 2, he should have added 1 positive unit tile to both sides.