PLEASE HELP! Why did Southern states feel betrayed by President Zachary Taylor? He wanted popular sovereignty for new states, and Southerners did not trust their votes. He was from the South, and Southerners thought he should support their cause. He was from the South, and Southerners thought he favored California over his home state. He was a slaveholder, but did not want to bring his enslaved workers to California.

If f(x)=3x+1 and f^-1=x-1/3, then f^-1(7)=

Kayla wants to find the width, ab, of a river. she walks along the edge of the river 65 ft and marks point c. then she walks 25 ft further and marks point d. she turns 90° and walks until her location, point a, and point c are collinear. she marks point e at this location, as shown. (a) can kayla conclude that δ and δ are similar? why or why not? (b) suppose de = 15 ft. what can kayla conclude about the width of the river?

An office supply company conducted a survey before marketing a new paper shredder designed for home use. in the survey, 80 % of the people who tried the shredder were satisfied with it. because of this high satisfaction rate, the company decided to market the new shredder. assume that 80 % of all people are satisfied with this shredder. during a certain month, 100 customers bought this shredder. find the probability that of these 100 customers, the number who are satisfied is 69 or fewer.