A planet follows an elliptical path described by 625x^2+25y^2=15,625. A comet follows the parabolic path y=x^2-25. Where might the comet intersect the orbiting​ planet? (type ordered pairs. Use commas to separate answers.)

Find the number of positive three-digit even integers whose digits are among 9, 8, 7,5, 3, and 1.

Abacteria population is tripling every hour. by what factor does the population change in 1/2 hour? select all that apply

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)