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A stone is thrown upward with an initial speed of 48 ft/s.
A. what will its maximum height be ?
B. where will it be after 1 s ?
A functional group is an atom or a group of atoms the presence of which confers characteristic properties to the compounds
A stone is dropped into a well and 4 seconds later the sound of the splash is heard. If sounds travel at a speed of 340 m/s, how deep is the well ?
Develop a C++ program with a class named as "area" to find the area of the room and inherit this property into another class named as "volume" to find out the volume of the same room and display both the results
There are three grades in a report card that you want to interpret in terms of performance: mathematics 75, english 85, and science 90. This means are 72,83 and 88, respectively. The standard deviation are 3, 10, and 15, respectively.
{F} Construct the Combinatorial Circuit of the given output.
- (p∨q) 2. (p∧ ~q)
- (p→~q)→(p∨q)
{F} 2.
Find the transitive closures of these relations on {1, 2, 3, 4}.
a) {(1, 2), (2,1), (2,3), (3,4), (4,1)}
b) {(2, 1), (2,3), (3,1), (3,4), (4,1), (4, 3)}
c) {(1, 2), (1,3), (1,4), (2,3), (2,4), (3, 4)}
d) {(1, 1), (1,4), (2,1), (2,3), (3,1), (3, 2), (3,4), (4, 2)}
3.
Find the smallest relation containing the relation {(1, 2), (1, 4), (3, 3), (4, 1)} that is
a) reflexive and transitive.
b) symmetric and transitive.
c) reflexive, symmetric, and transitive.
4.
Which of these relations on {0, 1, 2, 3} are equivalence relations? Determine the properties of an equivalence relation that the others lack.
a) {(0, 0), (1, 1), (2, 2), (3, 3)}
b) {(0, 0), (0, 2), (2, 0), (2, 2), (2, 3), (3, 2), (3, 3)}
c) {(0, 0), (1, 1), (1, 2), (2, 1), (2, 2), (3, 3)}
d) {(0, 0), (1, 1), (1, 3), (2, 2), (2, 3), (3, 1), (3, 2),(3, 3)}
e) {(0, 0), (0, 1), (0, 2), (1, 0), (1, 1), (1, 2), (2, 0),(2, 2), (3, 3)}
The lifetime of a light bulb is normally distributed with 800 hours and standard deviation 50 hours. A random light bulb is selected. What is the probability that it will last for more than 950 hours?
If a certain number x is subtracted from 8,it will be equal to two less than four times the same number
{F} Work Out
1. Solve by crammer's rule, the following equations.
3X + 3Y - Z = 11
2X - Y + 2Z = 9
4X + 3Y - 27 = 25
2. solve the above equations using graphical method.
#339914 on Dec 2023