How many ordered triples of positive integers (a,b,c) with 1<=a,b,c<=5 are there such that ax^2+bx+c has a rational solution?
How many ordered triples of positive integers (a,b,c) with 1¡Üa,b,c¡Ü5 are there such that ax^2+bx+c has a rational solution?
A queen on an English chessboard is able to attack in the same row, column and diagonal. The probability that 2 randomly placed queens on an 8 by 8 chessboard will be able to attack each other can be expressed as a/b , where a and b are positive, coprime integers. What is the ...
The coil of wire in a galvanometer has a resistance of RC = 78.0 Ù. The galvanometer exhibits a full-scale deflection when the current through it is 0.440 mA. A resistor is connected in series with this combination so as to produce a voltmeter. The voltmeter is to have ...
In the drawing below, R1 has a resistance of 6.2 Ù and R2 has a resistance of 2.6-Ù. Determine the current (magnitude and direction) in the 6.2 and 2.6-Ù resistors in the drawing.
A battery has an internal resistance of 0.017 Ù and an emf of 9.00 V. What is the maximum current that can be drawn from the battery without the terminal voltage dropping below 8.75 V?
How much money would have to be deposited into a compound interest savings account earning 5% each year in order to accumulate $10,000 in 18 years?
To determine the distance to an oil platform in the Pacific Ocean, from both ends of a beach, a surveyor measures the angle to the platform from each end of the beach. The angle made with the shoreline from one end of the beach is 83 degrees, from the other end 78.6 degrees. I...
I need help with this problem: The path traveled by a golf ball with a 9-iron can be modeled with the quadratic equation, y= -0.042xsquared + 5x, where x is the distance in yards from the point it was hit and y is the height of the golf ball in feet. Assume that the ground is ...
The electric potential energy stored in the capacitor of a defibrillator is 77 J, and the capacitance is 123 µF. What is the potential difference that exists across the capacitor plates?