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Four organizations sponsored a marathon. the symbols for these organizations were to be arranged on a banners placed along the course of the race. unfortunately the organizations could not agree on the order of the symbols on the banner, each organization wanted its symbol to be first. finally it was decided that they would produce a banner for each possible arrangement of the four symbols. how many different banners were to be placed aalong the course?
Find the volume of a frustum of a pyramid with square base of side 30, square top of side 15 and height 10.
A ball has been dropped from the top of a building. Its height (in feet) after t seconds is given by the function H(t) = =16t^2+256. How far will the ball travel during the third second?
If the volume of the smaller rectangular box is 8 in3, what is the volume of the larger rectangular box?
begin with the distribution beta73.a. what postulated proportion would be associated with that distribution?b. using
Using a known Taylor series, find the first four nonzero terms of the Taylor series about 0 for ln(1-2y)
Suppose that a tank initially contains 2000 gal of water and the rate of change of its volume after the tank drains for t min is '(t)=(0.5)t)-30 (in gallons per minute).
Let p represent a statement having a truth value T, q represent a statement having a truth value F, and r represent a statement having a truth value T. Find the truth value for the following:
It took a small plan 1 hour longer to fly 480 miles against the wind than it took the plane to fly the same distance with the wind. If the wind speed was 20 mph, then what is the speed of the plane in calm air?
You randomly select one card from a 52 card deck. What is the probability of selecting a black 6 or a red jack?
an exam consists of six true-or-false questions. assuming that every question is answered in how many different ways
Translate the problem into a pair of linear equations in two vaiables. Solve the equations using either elimination or substitution. State your answer for both variables
A rectangular region is enclosed on all four sides with 45 feet of fencing. If the width is one half the length, find the area of the region.
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