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the sides AB and BC of the right angle in triangle ABC,inscribed in the circle with centre O,measure 14cm and 48cm respectively. calculate the area of the shaded region?
Let phi : R^2 --> R be a function given by phi(x,y) = x^3 + xy + y^3 +1 For which points p =(0,0) , p=(1/3,1/3), p =(-1/3,-1/3) is the subset phi^-1 ( phi(p)) an imbedded sub-manifold of R^2.
What is the light intensity at the surface of the lake on the day of the experiment and at what depth will the light intensity be half of the intensity at the surface?
use dimensional analysis to convert the quality to the indicated unit.
Write a paragraph describing your interpretation when the slope is positive, zero, and negative. If you were buying a home in this particular city, which slope would be most attractive to you and why?
Probability: Binomial approximation to normal distribution. In a large university, 30% of the incoming first-year students elect to enroll in a personal finance course offered by the university
Let A subset or equal of R be bounded above and let c belong to R. Define the sets c+A and cA by c+A={c+a : a belong to A} and cA={ca : a belong to A}.
The solution to Queuing Analysis. The Bay City Police Department has eight patrol cars that are on constant call 24 hours a day. A patrol car requires repairs every 20 days, on average, according to an exponential distribution
Write a system of equations for the problem, and then solve the system. Two cars leave a city and head in the same direction. After 4 hours, the faster car is 24 miles ahead of the slower car. The slower car has traveled 164 miles. Find the speeds..
A major credit card company has determined that customers charge between $100 and $1100 per month. Given that the average monthly amount charged is uniformly distributed, what percent of monthly charges are between $100 and $1100?
What is the after-tax cost of debt for MC?
a mini-black hole formed when a superadvanced civilation decides to punish you by squeezing you until you become so small that you disappear inside your own event horizon.
A 65.0 silver object and a 70.0 gold object are both added to 45.5 of water contained in a graduated cylinder. What is the new water level in the cylinder?
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