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a) Find the recurrence relation satisfied by Rn, where Rn is the number of regions into which the surface of a sphere is divided by n great circles (which are the intersections of the sphere and planes passing through the center of the sphere), if no three of the great circles go through the same point
b) Find Rn using iteration.
find the area of the trapezoidal cross-section of the irrigation canal shown below. Your answer will be in terms of h, w, and θ. Use theta for θ.
a recreational club has 12 members.a. in how many ways can the club choose 6 members to form a volleyball team? show
a mean score on a standardized test is 50 with a standard deviation of 10. answer the followingwhat scores fall between
Suppose P(t) is the monthly payment, in dollars, on a mortgage which will take t years to pay off. What are the units of P'(t)? What is the practical meaning of P'(t)? What is its sign?
Show the Finite graph and vertices
A weather balloon is located on a bearing of N 42 E from the western station and a bearing of N 15 E from the eastern station. How far away is the balloon from the eastern station? From the Western Station?
If there are 50 pieces of data which range from 0 to 100: With a mean of 60 and Root mean square deviation of 8 show that only 1 piece of data can equal 100
the Fahrenheit temperature of the reagents must be at least 184.49 F. Find the Celsius temperatures at which the reaction may occur.
How do you find the x intercepts in standard form
Suppose that the survival distribution of a group of patients follows theexponential distribution with G = 0 (year),λ = 0.65. Plot the survivorshipfunction and find: The mean survival time and The median survival time
The five members of a band are gettin gnew outfits. Shirts cost $12 each, pants cost $29 each, and boots cost $49 a pair. What is the total cost of the new outfits for all of the members?
The length of a rectangle is 6 times the width. If the perimeter is to be at least 98 meters, what are the possible values for the width?
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