Which of the following situations cannot be modeled with the equation 2x + y = 0? . . . . a. . it takes 2 parts of chemical a to neutralize 1 part of chemical b. . . b. . tony must pull. twice as hard as ralph just to sit still in a match of tug-o-war. . . c. . if sophie earns twice as many points as penalties, she will break even. . . d. . tom’s saturday shift was twice as long as his 2 hour sunday shift. @darkblooyoshi

How to choose the sign of the radical in the denominator of the formula for the distance from a point to a line.

(! ) three cylinders have a height of 8 cm. cylinder 1 has a radius of 1 cm. cylinder 2 has a radius of 2 cm. cylinder 3 has a radius of 3 cm. find the volume of each cylinder

High school seniors with strong academic records apply to the nation’s most selective colleges in greater numbers each year. because the number of slots remains relatively stable, some colleges reject more early applicants. suppose that for a recent admissions class, an ivy league college received 2851 applications for early admission. of this group, it admitted 1033 students early, rejected 854 outright, and deferred 964 to the regular admission pool for further consideration. in the past, this school has admitted 18% of the deferred early admission applicants during the regular admission process. counting the students admitted early and the students admitted during the regular admission process, the total class size was 2375. let e, r, and d represent the events that a student who applies for early admission is admitted early, rejected outright, or deferred to the regular admissions pool. suppose a student applies for early admission. what is the probability that the student will be admitted for early admission or be deferred and later admitted during the regular admission process?