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A long-distance runner runs the first kilometre of a race in 3 minutes 45 seconds but finds that his speed drops steadily such that each kilometre takes him 12 seconds more than the preceding one. Find his time (in minutes and seconds) for the 11th kilometre.


what is the given the equation x+y=6 and the assigned values for x, find the value of y.


A ball is dropped from a height of 3 m. After each bounce, it rises to 85% of its previous height. What is the total distance that the ball has travelled when it comes to rest?


An insurance representative made RM30 000 her first year and RM60 000 her seventh year. Assume that her annual salary figures form an arithmetic sequence and predict what she will make in her tenth year.


A grocery store used to sell bulk chocolate cookies for $0.65 for 100g. The price increased by $0.65 four 100g. What Is the new price for 400g of bulk chocolate chip cookies


A grocery store used to sell bulk chocolate cookies for $0.65 for 100g. The price increased by $0.65 four 100g. What Is the new price for 400g of bulk chocolate chip cookies


4. Consider the functions f(x) = x

2 + 1 and g(x) = 1

x

, evaluate (g ◦ f)(−

1

2

)


Steven, Mabel, Sofia, and Finn went on a very long trip to visit their grandfather, Max. They rode a taxi which ran a distance of 40 km within 2 hours after they left the house. During their travel, Mabel received a call from their grand uncle, Ford. His taxi had a flat wheel and asked them to pick him up. They picked him up half an hour later and resumed their way. After an hour, their taxi could not enter the woods where their grandfather lives, so, they decided all together to walk. 50 km, and 10 hours later, they reached Max’s cabin in the woods.


Plot and determine the slope of the curve. (20 points)

Find the distance Steven, Mabel, Sofia, and Finn found Ford during the trip, and the distance where they started to walk.


three partners among a firm divide a profit of rs.67,200. among them selves in the ratio 2:3:7 find the share of each one of them?