Patrice walks 4.0 blocks east and then turns north and jogs 6.0 blocks. she then turns west and walks another 4.0 blocks. what is the distance she has traveled? 0.0 blocks 6.0 blocks 8.0 blocks 14.0 blocks

Atank holds 1000 gallons of water, which drains from the bottom of the tank in half an hour. the values in the table show the volume v of water remaining in the tank (in gallons) after t minutes. t(min) 5 10 15 20 25 30v(gal) 694 444 250 111 28 0(a) if p is the point (15, 250) on the graph of v, find the slopes of the secant lines pq when q is the point on the graph with t = 5, 10, 20, 25, and 30.(b) estimate the slope of the tangent line at p by averaging the slopes of two secant lines.(c) use a graph of the function to estimate the slope of the tangent line at p. (this slope represents the rate at which the water is flowing from the tank after 15 minutes.)show all steps.

If a rock is thrown upward on the planet mars with a velocity of 10 mys, its height in meters t seconds later is given by y − 10t 2 1.86t 2 . (a) find the average velocity over the given time intervals: (i) [1, 2] (ii) [1, 1.5] (iii) [1, 1.1] (iv) [1, 1.01] (v) [1, 1.001] (b) estimate the instantaneous velocity when t − 1.

Read this excerpt from a room of one's own by virginia woolf: nick greene, i thought, remembering the story i had madeabout shakespeare's sister, said that a woman acting puthim in mind of a dog dancing. johnson repeated thephrase two hundred years later of women preaching. andhere, i said, opening a book about music, we have the verywords used again in this year of grace, 1928, of womenwho try to write music. 'of mlle. germaine tailleferre onecan only repeat dr johnson's dictum. "sir, a woman'scomposing is like a dog's walking on his hind legs. it is notdone well, but you are surprised to find it done at all."which sentence best states the idea that this excerpt to develop? a. women have faced negative attitudes in some areas, but otherareas have always been open to them. b. women have always faced negative attitudes in jobs that weretraditionally dominated by men. c. women had faced negative attitudes in shakespeare's time, but inwoolf's time, these attitudes had improved.,d. women have always faced negative attitudes in music andpainting but not in literature or acting.