1.) Cannot happen. The 3rd Law of Thermodynamics states that no object can have a temperature of absolute zero. Edit: It's hypothesized that a perfect crystal will disappear at absolute zero. (Absolute zero being the proper term for this concept)
Congratulations to watkinni1 for answering questions 2 and 10 correctly! You've won 200 GN and 150 GN!
Answers to Questions (Part 3) 1) In what state of matter do particles stop moving completely? Answer: The state of matter in which particles stop moving is called a Bose-Einstein Condensate. This occurs at absolute zero (0K). While the particles of a solid may appear to not be moving, they are actually vibrating rapidly. 2) What is the exact convergence point of this summation? View attachment 12008 - answered by watkinni1. Answer: This infinite sum converges at e (approximately 2.71828). This summation actually converges rather quickly, as shown in this graph. 3) What is the exact convergence point of this summation? View attachment 12009 This infinite sum converges at pi (approximately 3.14159). This summation converges much more slowly than the one above. 4) Roughly 175 million years ago, all of the Earth's continents were combined as one big supercontinent often referred to by what name? - answered by Greenjuice. Did you ever notice how some continents look like they would fit together like puzzle pieces? Take a look at the East Coast of Brazil and the West Coast of Africa. A long time ago, all of the continents were one giant supercontinent called Pangaea. They drifted apart over time due to tectonic plates shifting. In fact, each year, the Americas and Africa/Europe each move about 2.5 cm (1 inch) further from each other. 5) An object will reach terminal velocity during free fall when what two forces are equal? - answered by Luciano. When in free fall, there are primarily two forces acting on an object. The force of gravity, which is the force acting on the object's mass, causing the object to fall, and the force of air resistance, the force that is resisting the fall. Air resistance depends on the object's surface area and speed, so as the object gains more speed due to the acceleration of gravity, the force of air resistance increases. At some point, the object will reach terminal velocity and will no longer accelerate because the force of gravity is equal to the force of air resistance. 6) Douglas Hofstadter most notably coins what concept in his book Gödel, Escher, Bach? Answer: Hofstadter discusses "strange loops" in this book. He talks about a tangled hierarchy, where essentially a strange loop takes place when things return to the way they started. These are extensively analyzed as he explains how these paradoxes arise from self-reference. 7) When a planet is situated in a solar system not too far and not too close to its star, such that it can support life, it is in what astronomers call the ______ ______. - answered by Villa7. Answer: The colloquial term for this is the "Goldilocks Zone," because being too close or too far from a star determines if the planet is "too hot or too cold." Villa7 actually had given the more technical term for this zone, the habitable zone. Astronomers look for planets that are in this zone when looking for planets that could support life or that may already support life. The green zone is the habitable zone in the picture below. 8) What flower has the largest bloom? - answered by blakethecrafter. The rafflesia arnoldii (usually referred to as rafflesia) is a massive flower. Not only can it span over a meter in diameter (3 feet), it can also weigh up to 11 kg (24 lbs). It is commonly called the "corpse flower" because of its repulsive odor. 9) What law states that an increase in the speed of a fluid results in a decrease in pressure? Answer: This is called Bernoulli's Principle. When you have a fluid, such as air, a decrease in pressure occurs as the speed of that fluid moves. This principle explains why planes can fly, because as the air moves across the wings, a decrease in pressure occurs above the wings causing the wings to be pushed upwards by the greater pressure beneath the wings (this is called lift). 10) Complete the analogy. addition: subtraction multiplication: division exponent: root logarithm: ______ - answered correctly by watkinni1. Answer: The relationship between each of these analogies was that one operation undoes the other. Addition and subtraction undo one another, multiplication and division undo one another, exponents and roots undo one another, and logarithms and antilogarithms undo one another. A common logarithm (base of 10) is written as log(x), whereas an anti-common logarithm is written as 10^x. Thus, 10^(log(x)) and log(10^x) both equal x. 11) What are the previous three terms of the sequence? __, __, __, 4, 8, 1, 2, -5, -10, -17 - answered by Lego90210. The pattern from left to right was "times 2, minus 7." So in order to figure out what goes to the left of the sequence, you have to reverse that: "plus 7, divided by 2." 4+7 is 11, 11/2 is 5.5, 5.5+7 is 12.5. Therefore the first three numbers in the sequence are 12.5, 5.5, 11. 12) Solve the equation using only a pencil, paper, and calculator for basic calculations, and describe the most efficient method in doing so (guess and check is not efficient). View attachment 12010 - answered correctly by LunarisKitten. Answer: This question requires being a little bit clever. You want to try to isolate x! first. In order to do that, multiply each side by 1600. Since factorials are the products of all consecutive positive integers from 1 to x, you can "undo" a factorial by dividing the number by consecutive positive integers starting at 1 until the quotient you receive is equal to 1, which means that the last number that you divided by is equal to x, which in this case, was 13.
