Answer:
3/26/2023, 10:00:19 PM
write a story to illustrate the saying:Monkeys play by their sizes
3/26/2023, 10:00:31 PM
Once upon a time, in a dense forest, there lived different species of monkeys. The monkeys were known for their mischievous nature and their love for playing games. One day, they decided to organize a game of tug-of-war.
The monkeys gathered on either side of a long rope, eager to show off their strength. The bigger and stronger monkeys, like the gorillas and baboons, stood at one end, while the smaller monkeys, like the macaques and tamarins, stood at the other end.
Everyone was excited to start the game, but as soon as it began, it became clear that something was wrong. The larger monkeys easily pulled the smaller ones towards them, causing them to lose the game every time.
The smaller monkeys started complaining, saying that the game was unfair because the bigger monkeys had an advantage over them. But the bigger monkeys simply laughed and said, "Monkeys play by their sizes!"
The smaller monkeys realized that this saying was true. They understood that everyone has their strengths and weaknesses and that they should not try to compete with others who are stronger or more powerful than them. Instead, they decided to play games among themselves, where they could use their own unique skills and abilities to compete fairly.
And so, the monkeys continued to play games and have fun in their own way, without worrying about competing with those who were bigger and stronger. From that day on, they respected each other's differences and played by their own sizes.
3/26/2023, 10:00:59 PM
A rod with a length of 1.6 m is made of aluminum, which has a coefficient of linear expansion of 2.40 ✕ 10−5 (°C)−1. It is initially at a temperature of 25°C.
(a)
What is the change in length of the rod if the temperature drops to 0.0°C? (Give the absolute value in units of mm.)
mm
(b)
How does the rod's length change with lower temperature?
The rod shrinks with lower temperature.
The rod expands with lower temperature.
The rod's length does not change with lower temperature.
(c)
Find the absolute value of the fraction by which the rod's length changes between the two temperatures.
ΔL
L0
=
3/26/2023, 10:01:10 PM
(a) To calculate the change in length of the rod, we can use the formula:
ΔL = αLΔT
where:
α = coefficient of linear expansion
L = initial length of the rod
ΔT = change in temperature
Substituting the given values, we get:
ΔL = (2.40 ✕ 10^-5 (°C)^-1) x (1.6 m) x (25°C - 0.0°C)
ΔL = 0.0096 m
Converting meters to millimeters, we get:
ΔL = 9.6 mm
Therefore, the change in length of the rod is 9.6 mm.
(b) The rod shrinks with lower temperature.
(c) The absolute value of the fraction by which the rod's length changes between the two temperatures can be calculated using the formula:
ΔL
L0
where:
ΔL = change in length of the rod
L0 = initial length of the rod
Substituting the given values, we get:
ΔL
L0
= 0.0096 m / 1.6 m
= 0.006
Therefore, the absolute value of the fraction by which the rod's length changes between the two temperatures is 0.006.
3/26/2023, 10:01:58 PM
prove or disprove if power set a = power set b then a=b discrete math
3/26/2023, 10:02:05 PM
We can disprove the statement "If power set A = power set B, then A = B" using a counterexample.
Let A = {1}, and B = {2}. Then:
Power set of A = {{}, {1}}
Power set of B = {{}, {2}}
Both power sets have two elements: an empty set and a singleton set. Therefore, power set of A is equal to power set of B.
However, A and B themselves are not equal. A contains the element 1 while B contains the element 2. Therefore, we can say that "power set of A = power set of B" does not imply "A = B".
Hence, the statement "If power set A = power set B, then A = B" is false.
3/26/2023, 10:04:17 PM
5 3/10x-1/5(x-y)
3/26/2023, 10:04:27 PM
To simplify the expression 5(3/10)x - 1/5(x - y), we can first distribute the 5 and the -1/5 to get:
(3/2)x - 1/5x + 1/5y
Then, we can combine like terms by adding the coefficients of x and y:
(3/2 - 1/5)x + (1/5)y
To simplify further, we need to find a common denominator for the fractions:
(15/10 - 2/10)x + (2/10)y
Simplifying the numerators, we get:
(13/10)x + (2/10)y
Finally, we can reduce the fractions by dividing both terms by their greatest common factor (GCF) of 1/10:
(130/100)x + (20/100)y
Simplifying further, we get:
(13/10)x + (1/5)y
Therefore, the simplified expression is (13/10)x + (1/5)y.