On math:
S: Why do people argue about the answer of mathematical questions like “8 / 2(2+2)”?
There are a few reasons why people may argue about the answer to a mathematical question like “8 / 2(2+2)”. One reason is that there is more than one wav to interpret the question and arrive at a different answer. For example, some people may interpret the question as “8 / (2 * (2+2))” and arrive at an answer of 1, while others mav interpret it as “(8 / 2) * (2+2)” and arrive at an answer of 16.
S: If flabb means three, snabb means four, and whabb mean five, what is flabb plus whabb?
If flabb means three, snabb means four, and whabb means five, then flabb plus whabb would be equal to three plus five, or eight. In this made-up numbering system, the words “flabb,” “snabb,” and “whabb” represent the numbers three, four, and five, respectively. When these numbers are added together, the result is the number eight.
S: If bbb means three, bbbb means four and bbbbb means five, how do you think you would write six?
If bbb means three, bbbb means four, and bbbbb means five, then six could potentially be represented by the word “bbbbbbb.” In this made-up numbering system, the number of "b"s in a word corresponds to the value of the number it represents. Therefore, to represent the number six, one possible way would be to add another “b” to the end of the word for five, which would give us “bbbbbbb” as the representation of six. This is just one possible way to represent six in this numbering system, and there may be other ways to do it as well.
S: Water expands by about 4% when it is heated from 4C to boiling. I have a water tank that is a cylinder with a diameter of 1m and a height of 3m. If I pour boiling water in and completely fill it up, and then cool the water down to 4C, what will the height of the water be?
In this scenario, the height of the water in the tank will be slightly less than 3m when it is cooled to 4C. When water is heated from 4C to boiling, it expands by about 4%, which means that its volume increases by 4%. The volume of a cylinder is calculated by multiplying the area of the base by the height, so the volume of your tank is calculated by multiplying the area of the base, which is π x (1/2)^2 = 0.7854m^2, by the height of 3m, giving a total volume of 0.7854 x 3 = 2.3562m^3. When the water is heated to boiling and completely fills the tank, its volume will be close to the maximum volume that the tank can hold. When the water is then cooled to 4C, it will contract slightly, by about 4%, which means that its volume will decrease by 4% of 2.3562m^3, or 0.0942m^3. This means that the volume of the water in the tank will be 2.3562 - 0.0942 = 2.2620m^3. Since the height of the water is determined by the volume of the water and the volume of the tank, the height of the water will be slightly less than 3m when the water is cooled to 4C. The exact height will depend on the precise volume of the water in the tank after it is cooled, but it will be slightly less than 3m.
