You decide you want to carry a boulder home from the beach in the shape of a sphere. The boulder has a volume of 27,000 cm^3. It is made of granite, which has a typical density of 2.7 g/cm^3. How much will this boulder weigh?

Find the sum of the first 8 terms of the following sequence. round to the nearest hundredth if necessary.

M the table below represents a linear function f(x) and the equation represents a function g(x): x f(x)−1 −50 −11 3g(x)g(x) = 2x − 7part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)part b: which function has a greater y-intercept? justify your answer. (4 points)

Fred has a spinner that is split into four equal sections: red, blue, green, and yellow. fred spun the spinner 688 times. which of the following would be a good estimate of the number of times the spinner lands on the green section? a. 269 b. 603 c. 344 d. 189