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Question: In a trend that scientists attribute, at least in part, to global warming, the floating cap of se...​


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in a trend that scientists attribute, at least in part, to global warming, the floating cap of sea ice on the arctic ocean has been shrinking since 1950. The ice cap always shrinks in summer and grows in winter. Average minimum size of the ice cap in square miles can be approximated by a=pir^2. In 2005 the radius was approx 808mi and shrinking at the rate 4.3mi/yr. How fast was the area changing at that time?

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    a=pi r^2
    da/dt=2pir dr/dt
    =2*pi*808*4.3
    =21830mi^2 /yr
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Question: Suppose water is added to a tank at 10 gal/min, but leaks out at the rate of 1/5 gal/min for each...​


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Question: 14. A 1200-gallon tank initially contains 40 pounds of salt dissolved in 600 gallons of water. St...​


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14. A 1200-gallon tank initially contains 40 pounds of salt dissolved in 600 gallons of water. Starting at t0 = 0, water that contains 1/2 pound of salt per gallon is added to the tank at the rate of 6 gal/min and the resulting mixture is drained from the tank at 4 gal/min. Find the quantity Q(t) of salt in the tank at any time t > 0 prior to over?ow
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Question: A 10 kg mass is given an initial velocity vo S 0 near Earth's surface. The only fo portional to t...​


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@Edorikku..HEADING@2..I]Question: [/I]A 10 kg mass is given an initial velocity vo S 0 near Earth@s surfa..e. The only fo portional to t...[/HEADING]
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Question: 6) We wish to accumulate $10,000 in 10 years by making a single deposit in a savings account bear...​


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Question

If a student randomly guesses at five multiple-choice questions, find the
probability that the student gets exactly three correct. Each question has five
possible choices.


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we want 3 correct out of 5 questions. and each has 5 options.
so the combination will be 5C3.
so the probability of right answer p = 1/5.
and probability of right answer q = 4/5.
it is a binomial question so the probability -
probability = (5 "choose" 3) * (probability correct)(number correct) *(probability incorrect)(number incorrect)
(5C3) * (1/5)3 * (4/5)2
(5*4/2) * (1/125) * (16/25)
= 160/125*25
= 32/625.

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Question: Complete answers please. With step by step explanation and clear handwriting. Thank you i...​


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Complete answers please. With step by step explanation and clear handwriting. Thank you in advance.
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