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find two consecutive odd integers such that the smaller one is 12 more than one-third the larger
a 24ft pipe must be cut into three pieces. the longest piece will be twice as long as the shortest piece, and the medium-sized piece will be 4 feet longer than the shortest piece. find the length of each piece of pipe.
a 40-in board is to be cut into two pieces so that one piece is 8 inches shorter than the other. find the length of each piece.
a 12oz of regular coffee at starbucks has 13 times the amount of caffeine found in the same-sized serving decaffeinated coffee. together they contain 280 mg of caffenine how much caffeine is in each type of coffee?
the wettest april greatest rainfall amount for Albuquerque, NM, was recorded in 1905. the amount was 1.2 inches more than the amount recorded for the second wettest april in 2004. if the total rainfall for these two months was 7.2 inches, how much rain fell in april of each year?
verify:-
[tan^2x/(tan^2x-1)]+[cosec^2x/(sec^2x-cosec^2x)]=1/(sin^2x-cos^2x)
1. A pair of dice are tossed. What is the probability of getting a total of:
a. 5;
b. At most 4
Evaluate the integral ∫ + /2 0 2cos 1 π
dx
x
Find the equation of the sphere which passes through the points 0)3,(1,2),5,(1,3),4,(1, −−− and whose centre lies on the plane 0 =++ yzx .
Find the slope of the line passing through the given points. (If an answer is undefined, enter UNDEFINED.)
(3, −7) and (−1, 7)
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