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The height of a sand dune (in centimeters) is represented by f(t) =700-3t^2, where t is measured in years since 2005. Find f(5) and f'(5).Using units, explain what each means in terms of the sand dune.
a market research company finds that at a price of p=$20, they would sell x=42 tiles each month. If they lower the price to p=$10, then more people would purchase &they can expect to sell x=52 tiles in one month, find the equation of the line for ..
Drawing at least one black card when you draw a card from a standard deck 6 times, replacing the card each time you draw so that there are always 52 cards in the deck.
The asterisk implies a conditional usually indicated by an arrow. The & sign indicates "and". In Aristotelian logic (X)(FX*GX) logically implies (EX)(FX & GX). Is this true in predicate logic? If not, why not?
Derive an identity for nCk via inclusion-exclusion by counting the k-multisets of [n] in which each element of [n] appears at most once. use p_i = "element i appears more than once in the multiset" as the i-th property, for 1
At an interest rate of 12%, the six-year discount factor is .507. How many dollars is $.507 worth in six years if invested at 12%?
A dance team knows 17 routines of which 9 are tap, 5 are ballet, and 3 are modern. The program can consist of any five routines. In how many ways can the manager choose which routines to present if there are no restrictions?
You select a random sample of n=14 families in your neighborhood and find the following family size (number of people in the family).
Show that the points A(4, 1), B(2, -3), C(0, 3) cannot form an equilateral triangle. Draw the graph of the straight line 3x ?4y = 12. Find the equation of a line parallel to the x- axis and passing through the point (5, 7).
Jack and Jill ran a 100 meter race. Jill ran the race in 10 seconds and won by 10 meters; Jack had run only 90 meters when Jill crossed the finish line.
Describe the transformation,function of g(x)=-sqrtx, h(x)=sqrtx+3,i(x)=sqrtx-1+2,j(x)=sqrtx+3
two minor league baseball players got a total of 390 hits. Washington had 2 more hits than sanchez find the number of hits for each player.
Assume Jim had executed 15 "Splits" before his last split of 20 seconds. If his eventual time in the road race is 4:05 , what was the average time for one of his earlier splits?
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