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You are not logged in. #1 20111121 06:23:08
Truefalse exercises in mathematics and other areasFor the truefalse problems for this thread, all cases for a particular statement must be true, else it is deemed false. That is, I am not presenting exercises in the always true/sometimes true/never true format. 1. Within the confines of the United States, the westernmost part of Virginia lies farther west than the westernmost part of West Virginia. Suppose there are sets of fair, 6sided dice, but they do not necessarily have the values of 1 through 6 once each on each face. Numbers other than 1 through 6 might be included, as well as certain sides could share the same value. An example might be a die with these values, one per each face: 2, 2, 3, 4, 5, 8. The value of two or more dice thrown, such as A + A, is the sum of the values of their top faces. There are also sets of C dice and D dice with the above properties. Dice X, Y, W, and Z are also like the above in properties, except that they are nonspecific for the illustration below. Given: One set of four fair, identicallynumbered 6sided dice and a different set of four fair, identicallynumbered dice. X > Y means that die X has a greater chance of having a larger value than die Y upon tossing them. W < Z means that die W has a greater chance of having a smaller value than die Z when the dice are tossed. 2. (i) If A > B, and A + A + A > B + B + B, then A + A > B + B. 2. (ii) If A + A < B + B and A + A + A + A < B + B + B + B, then A + A + A < B + B + B 2. (iii) If A + B > C + C, and A + B > D + D, then A + B > C + D "Lines" in the following refer to straight lines in the xyplane. Also, I am using "asymptote(s)" here to be only lines (horizontal, vertical or oblique) instead of the nonlinear asymptotes that exist for other certain functions. 3. (i) Given: A certain function approaches a line and gets ever closer to it without intersecting it. That line is an asymptote to that function. 3. (ii) A function does not interect its asymptote(s). 3. (iii) The same function cannot have a horizontal asymptote and an oblique asymptote. 4. In the vertical line test, where there is a graph of a relation that is not a function, the vertical line crosses at two or more points for each corresponding xvalue in the relation's domain. 5. For any pair of perpendicular lines, the value of one slope multiplied by the value of the other slope equals 1. 6. In plotting three points for a certain intended line (on graph paper, for example) in the xyplane, if a person has three points that line up, then that person knows that those three points lie on the same intended line. 7. 8. There is a movie starring Jim Carrey and Kate Winslet involving erasing of certain memories. The title of this movie is one of the choices below, true or false: "Spotless Mind of the Eternal Sunshine" "Spotless Eternal Sunshine of the Mind" "Spotless Sunshine of the Eternal Mind" "Spotless Eternal Mind of the Sunshine" "Eternal Spotless Mind of the Sunshine" "Eternal Spotless Sunshine of the Mind" "Eternal Mind of the Spotless Sunshine" "Sunshine of the Spotless Eternal Mind" "Sunshine of the Eternal Spotless Mind" "Sunshine Eternal of the Spotless Mind" "Sunshine Spotless of the Eternal Mind" "Mind of the Eternal Spotless Sunshine" "Mind of the Spotless Eternal Sunshine" "Mind Spotless of the Eternal Sunshine" "Mind Eternal of the Spotless Sunshine" 9. In the same plane, two distinct quadrilaterals can intersect each other in no more than eight distinct places. 10. There are no infinite subsets (all members distinct) of the set of irrational numbers such that they can be put into a onetoone correspondence with the set of positve integers. 11. Given: a, b, c, d belong to the Real numbers, where a, b, c, d > 1. 12. A polyhedron exists that has seven edges. Signature line: I wish a had a more interesting signature line. 