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How many strings of ten uppercase English letters are there a) if letters can be repeated? b) if no letter can be repeated? c) that start with Z, if letters can be repeated? d) that start with Z, if no letter can be repeated? e) that start and end with Z, if letters can be repeated? f ) that start with the letters BO (in that order), if letters can be repeated? g) that start and end with the letters BO (in that order), if letters can be repeated? h) that start or end with the letters BO (in that order), if letters can be repeated?
200 feet of fence needs to be used to enclose a ranch. the ranch borders a river where no fence is needed. what is the quadratic equation that will provide the maximum amount of space.
A baseball team plays in a stadium that holds 56000 spectators. With the ticket price at $9 the average attendance has been 24000. When the price dropped to $8, the average attendance rose to 28000.
In a ring R, an idempotent is an element x ? R such that x * x = x (where * denotes the ring multiplication). Show that if R is an integral domain, then R has exactly two idempotent elements.
You withdraw $10 from a bank account once a week for four weeks. What integer Expresses the change in value?
A gun has a muzzle speed of 100 meters per second. What angle of elevation should be used to hit an object 190 meters away? Neglect air resistance and use as the acceleration of gravity.
eist travels 34 miles at a certain speed. The conoeist travels 6 miles on the second part of the trip at a speed at 5 mph slower. The total time of the trip is 5 hours. What is the speed on each part of the trip.
Consider a beam of length L and a fulcrum a length x away from one end. There are weights, W1 and W2, placed on opposite ends of the beam. Find x so that the system is in equilibrium.
Evaluate the integral using a) the trapezoidal rule with four panels, b) Simpson's rule with four panels
Determine the constraints and evaluate maximum or minimum value using Linear Programming Method - How many days should each plant operate to produce 2000 of each part and keep operating costs at a minimum?
A Pasta bar has a build your own pasta option. On this option, the menu lists 4 types of pasta noodles, 6 different vegetable choices, 4 meat choices, 3 cheeses and 3 sauces.
An investor buys 200 shares of GDT at a price of $63.90 per share, pays a 2 percent commission on the purchase, and sells the 200 shares a year later for $64.00 per share with a 2 percent commission on the sale. What is the total cost of the purch..
volume of wood in a tree trunk varies jointly as the height and girth. if the volume is 53m^3, when the height is 20m and the girth is 1.5m, what is the volume when the height is 76m and the girth is 2m?
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