A massive oil spill in the gulf unleashes approximately 20,311 barrels of oil into the Gulf...

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A massive oil spill in the gulf unleashes approximately 20,311barrels of oil into the Gulf each hour. This creates an expandingcircular layer of oil on the water’s surface about 1/16 inchesthick with the center being the source of the spill. Letting R(t)represent the radius (in miles) t hours after 6:00pm, the growingradius of this oil spill can be modeled by the formula: R(t)=1/2?(t+1) A.) What time did this spill start? (When was the radiuszero?) B.) Fill in the table below: (round your answer to 2 decimalplaces) Table 1 t hours 0 .5 1 1.5 2 2.5 3 3.5 4 4.5 R(t) miles C.)If left unchecked, how long will it take this oil spill to reach a2 mile radius? The nearest containment crew is on the Louisianacoast 50 miles away. At 6:00 pm, containment vessels instantly headtowards the center of this spill, but the fastest these containmentships can travel is only 15 mph. D.) Write an equation thatrepresents the distance D(t) in miles that the containment vesselis from the center of the spill t hours after 6:00 pm. E.) Fill inthe table below: Table 2 t hours 0 .5 1 1.5 2 2.5 3 3.5 4 4.5 D(t)miles F.) When will the containment vessels reach the center ofspill? G.) By observing the two tables above, in which 30 minuteinterval will the containment vessels reach the outer edge of thespill? H.) Algebraically find exactly (to the nearest minute) whenthe containment vessels will reach the outer edge of the oil spill.You should get two answers…explain them. I.) What is the radius ofthe oil spill at this time? J.) To manage the spill, onecontainment vessel is needed every 800 feet around the outercircumference of the spill. How many vessels do they need? (5280ft. = 1 mile)

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3.9 Ratings (813 Votes)
R 12 sqrtt 1 0 12 sqrtt 1 t 1 So the spill started at t 1 as in 5 pm b When t 05 R 12 sqrt15 06123724356957945 miles When t 1    See Answer
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