1. Which of the following can be said about the graph of y = 3 sin(x)? 1. The domain is all real numbers
II. The range is [-1,1]
III. The graph has a vertical shift of 3
(a) I only
(b) II only
(c) III only
(d) I & II only (e) I, II & III

the answer is A

Step-by-step explanation:

number 2&3 are absolutely wrong.number2 answer is (range=3),number3 answer is (the graph has a horizental shift)

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.  

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584