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Michel uses the scale drawing and the scale factor to enlarge a square that has a side length of 12 in. A square with side lengths of 12 inches. Scale factor: 3 inches = 2 meters. Which proportion could Michel use to solve the side length, x, of the enlarged square? StartFraction 3 inches over 2 meters EndFraction = StartFraction x meters over 12 inches EndFraction StartFraction x inches over 2 meters EndFraction = StartFraction 3 inches over 12 meters EndFraction StartFraction 3 inches over x meters EndFraction = StartFraction 2 meters over 12 inches EndFraction StartFraction 3 inches over 2 meters EndFraction = StartFraction 12 inches over x meters EndFraction

Consider a cube that has sides of length l. now consider putting the largest sphere you can inside this cube without any point on the sphere lying outside of the cube. the volume ratio -volume of the sphere/ volume of the cube is 1. 5.2 × 10−1 2. 3.8 × 10−1 3. 1.9 4. 2.5 × 10−1 5. 3.8

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?

The volume of a spherical hot air balloon v(r) = 4 3 ? r3 changes as its radius changes. the radius is a function of time given by r(t) = 3t. find the instantaneous rate of change of the volume with respect to t at t = 2.