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Find the center of mass of a thin plate of constant density d covering the "triangular" region in the first quadrant between the circle x^2+y^2=12.25 and the lines x=3.5 and y=3.5.
Suppose that a store offers gift certificates in denominations of25 dollars and 40 dollars. Determine the possible total amounts you can form using these gift certificates.
marta's checkbook shows that she wrote a check for 987$ for building materials. what was the price of the materials if the sale tax is 5% ?
At what time is the growth rate of 20 new bacteria per minute and how many bacteria are there at this time in the bacterial culture?
A checkered flag used for racing is a square flag containing 64 alternating white and black squares. How many squares on the checkered flag contain an equal number of white and black squares?
Construct an explicit deformation retraction of the torus with one point deleted onto a graph consisting of two circles intersecting in a point, namely, longitude and meridian circles of the torus.
What type of distribution would the instructor most want to see if the best result is that most students earn an average score?
Using calipers, you find that a copper cylinder has length 8.625 and diameter 1.218 . An electronic pan balance shows that its mass is 89.84 . Find the cylinder's density.
Using expeccted value to find a fair bet in five card stud. If casino five card stud were fair, how much should it pay to a player who bets $10 and gets a full house versus a dealer who gets two pair?
If the length of a rectangle is 2 less than 5 times the width and the perimeter is 476", what is the dimension?
the coin is returned to Al and the entire process begins again. The game continues until soneone gets heads. What is the probability of each of them winning?
Suppose that a batch of 100 items contains 6 that are defective and 94 that are nondefective. If X is the number of defective items
An irrigation canal has the shape of a trapezoid. Let x = the bottom width, y = the water depth, and theta = the angle of inclination of the sides from the horizontal.
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