Sketch the situation if necessary and use related rates to solve. A 5 ft tall person walks toward a wall at a rate of 3 ft/s. A spotlight is located on the ground 40 ft from the wall. How fast (in ft/s) does the height of the person's shadow on the wall change when the person is 5 ft from the wall

Element x decays radioactively with a half life of 8 minutes. if there are 450 grams of element x, how long, to the nearest tenth of a minute, would it take the element to decay to 37 grams?

Does the point (1, sqrt 7) lie on circle shown.

Read the excerpt from the strange case of dr jekyll and mr. hyde what do dr. jekyll's thoughts reveal about him in this excerpt? [t]he inmates of my house were locked in the most rigorous hours of slumber, and i determined, flushed as i was with hope and triumph, to venture in my new shape as far as to my bedroom. i crossed the yard, wherein the constellations looked down upon me, i could have thought, with wonder, the first creature of that sort that their unsleeping vigilance had yet disclosed to he is jealous of those who can sleep through the night. he is revered for his scientific advances. he is interested in studying the movements of the stars he is proud and enthusiastic about his initial results.