On the first day of college, Sophia tells a rumor to three of her friends. Each of those friends tells the rumor to three of their friends the next day. Each person who hears the rumor on the second day shares it with three more people on the third day, and so on. So, every day, the number of people who hear the rumor is three times the number who heard it the previous day. Determine the number of people who hear the rumor on the sixth day.

Find a parametrization for the curve「and determine the work done on a particle moving along γ in r3 through the force field f: r^3--r^3'where f(x,y,z) = (1,-x,z) and (a) im (γ) is the line segment from (0,0,0) to (1,2,1) (b) im (γ) is the polygonal curve with successive vertices (1,0,0), (0,1,1), and (2,2,2) (c) im (γ) is the unit circle in the plane z = 1 with center (0,0,1) beginning and ending at (1,0,1), and starting towards (0,1,1)

X=4 / y=100 if x=10 then what is y=?

For problems 7–10, state a reasonable domain for the problem statement, find the inverse functionf –1(x), and identify the independent and dependent quantities of the inverse. gary is jogging. the total distance he has traveled, in miles, can be estimated using the functionf(x) = 9x, where x is his jogging time in hours. camryn sells computers. she earns commission for her computer sales plus a fixed wage for each day she works. her daily earnings, in dollars, can be estimated using the functionf(x) = 0.15x + 50, where x represents her computer sales in dollars. the distance a motorboat travels, in meters, can be estimated using the equation f(x) = 1.9x2, wherexisthetimeinseconds,for0≤x≤10. a rock band is selling tickets to a concert at a theater. the band earns money for each ticket sold, but has to pay some of the earnings to the theater. the total money earned by the band can be estimated using the function f(x) = 7.5x – 300, where x is the number of tickets sold.