The number of rainbow smelt in lake michigan had an average rate of change of −19.76 per year between 1990 and 2000. the bloater fish population had an average rate of change of −92.57 per year during the same time. if the initial population of rainbow smelt was 227 and the initial population of bloater fish was 1,052, after how many years were the two populations equal? the linear function that models the population of rainbow smelt is y1 = −19.76x + 227, where x = the years since 1990 and y1 = the number of rainbow smelt. the linear function that models the population of bloater fish is y2 = . the linear equation that determines when the two populations were equal is . the solution is x =

Convert the number to decimal form. 12) 312five a) 82 b) 30 c) 410 d) 1560 13) 156eight a) 880 b) 96 c) 164 d) 110 14) 6715eight a) 53,720 b) 3533 c) 117 d) 152

For every corresponding pair of cross sections, the area of the cross section of a sphere with radius r is equal to the area of the cross section of a cylinder with radius and height 2r minus the volume of two cones, each with a radius and height of r. a cross section of the sphere is and a cross section of the cylinder minus the cones, taken parallel to the base of cylinder, is the volume of the cylinder with radius r and height 2r is and the volume of each cone with radius r and height r is 1/3 pie r^3. so the volume of the cylinder minus the two cones is therefore, the volume of the cylinder is 4/3pie r^3 by cavalieri's principle. (fill in options are: r/2- r- 2r- an annulus- a circle -1/3pier^3- 2/3pier^3- 4/3pier^3- 5/3pier^3- 2pier^3- 4pier^3)

Over the last 4 seconds, a snail has traveled 4/9 of an inch. if the snail traveled the same distance each second, how far did it travel each second?