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A 12 V battery of 0.05-ohm resistance and
another battery of 12 V and 0.075-ohm resistance
supply power to a 2-ohm resistor. What is the
current through the load?
The total number of hours, measured in units of 100 hours, that a family runs a vacuum cleaner over a period of one year is a continuous random variable X that has the density function.
f(x) = x, 0 < x < 1,
2 − x, 1 ≤ x < 2,
0, elsewhere.
Find the probability that over a period of one year, a
family runs their vacuum cleaner
(a) less than 120 hours;
(b) between 50 and 100 hours.
Kgabo completed 2/5 of a job. The next day he completed 3/8 of the remaining job. The part of the job that
is still left, given as a fraction, is
An electric dipole consists of two equal but unlike charges separated by a distance. Two point charges, q1 = +4.5 x 10-6 C and q2 = -4.5 x 10-6 C, are separated by 6.4 x 10-2 m, forming an electric dipole as shown in the figure. Find the electric field halfway between the dipole.
Write a program to declare class rectangle having data members length & breadth. Accept & display data for one object
If 10.0 liters of oxygen at STP are heated to 512 °C, what will be the new volume of gas if the pressure is also increased to 1520.0 mm of mercury? *
Calculate the capacitance of two plates area 4cm² seperated by 1mm
A consumer must divide P6,000 between the consumption of product X and Y. The relevant market prices are Px= P100 and Py= P400.
a. Write the equation for the consumer's budget line.
b. Illustrate the consumer's opportunity set in a carefully labeled diagram.
c. Show how the consumer's opportunity set changes when the price of good X increases to P200. How does this change alter the market rate of substitution between goods X and Y?
1. Explain how enumerations work.
2. Describe the three problems that unscoped enumerations can cause.
A consumer has P3,000 to spend on goods x and y. The market prices of these two goods are Px = P150 and 3y = P50.
a. What is the market rate of substitution between goods X and Y?
b. Illustrate the consumer's opportunity set in a carefully labeled diagram.
c. Show how the consumer's opportunity set changes if income increases by P3,000.
#340153 on Dec 2023