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concentrating on the task at hand. She worked through the first items quickly and accurately. On item number 11 she doubted herself. She said, “This is bad, no it’s fine.” Prior to starting she thought she could not figure it out, but then once she started the hands on component she completed it accurately within the time limit. On item number 12 she stated, “This hurts my brain.” On item number 12 she remarked, “The red is a different shade. It throws me off.” This brought my attention to the…

Total profit will increase by __________. Round your answer to the nearest integer and do not include the dollar “$” sign. 1. ------------------------------------------------- Kitty Kennels provides overnight lodging for a variety of pets. An attractive feature is the quality of care the pets receive, including well balanced nutrition. The kennel’s cat food is made by mixing two types of cat food to obtain the “nutritionally balanced cat diet.” The data for the two cat foods are as…

handy especially on test, when I am able to solve an AP Calculus problem using mathematical methodology and concepts learned from IB Math. A great example being using Sandwich Theory for solving for the limit of complex differentiables. So, from my personal experience, I can agree with the idea that mathematics shall always be reliable when proven definitely true. Accepted knowledge involving mathematics because it is logical and supported by testing, is reliable in all instances that various…

The great Russian playwright Antov Chechov once stated, “Knowledge is of no value unless you put it into practice.” In other words, knowledge is only useful when incorporated into practical use. The problem with this statement is that there is no definitive scale or criteria that measures the worth and value of knowledge. Leading to the question, to what extent can we determine the value of knowledge? From one perspective, knowledge is something that can be easily acquired, but is only useful…

The movie “the Number 23”, is a chilling movie surrounded around the life of a man named Walter Sparrow. Walter Sparrow throughout the movie displays symptoms of what one might first see as a personality disorder, but in actuality he suffered from memory loss which came from the result of attempted suicide. Walter Sparrow is fighting with his own mind and throughout the movie there are certain things that trigger his thoughts to come back. Walter Sparrow in the movie starts out as an animal…

In case of evenness index J´ of species, highest value of 1 was found in sample 8 that have similar relative abundance of species or equal number of individuals belong to each species while species evenness was 0 in samples that also have 0 value of Shannon index that indicates less species diversity result in only one or few species dominate. Remaining samples have moderately high species…

“Sophie Germain’s Theorem can be applied for many prime exponents, by producing a valid auxiliary prime, to eliminate the existence of solutions to the Fermat equation involving numbers not divisible by the exponent p” (Laubenbacher and Pengelley, 9). Legendre later used Germain’s findings in a supplement to the second edition of his book, Essai sur le Théorie des Nombres (O’Connor and Robertson). The Institut de France awarded Germain…

as the following: 〖ax〗^2+bx+c=0. Next, the constant number is to be moved to the other side of the equation. Another important rule in math is that whenever a number is moved, the sign changes. In this case the constant “c” is positive, and later changed as “-c” when moved to the right side of the equation. As a result, it should look like the…

Fluid dynamics and Bernoulli's equation Moving fluids Fluid dynamics is the study of how fluids behave when they're in motion. This can get very complicated, so we'll focus on one simple case, but we should briefly mention the different categories of fluid flow. Fluids can flow steadily, or be turbulent. In steady flow, the fluid passing a given point maintains a steady velocity. For turbulent flow, the speed and or the direction of the flow varies. In steady flow, the motion can be represented…

A Description of the Problem For the problem-solving report, we have a 4x4 grid that we have to find as many rectangles as we can. The rectangles that can be found on the 4x4 grid ranges from 1x1 rectangles to a 4x4 rectangle. According to MathisFun.com a rectangle is, “a 4-sided flat shape with straight sides where all interior angles are right angles (90°). Also opposite sides are parallel and of equal length. Example: Another factor we have to consider is the lines provided on the 4x4 grid…