A b c d e a b c d

tate sales tax. If the state’s population includes about 2,000,000 adults, what is the best estimate for the number of adults in the state who would support the tax increase? A 20,000 B 74,000 c 800,000 D 1,000,000

, ACD®B, D®EF, BE®C, CF®BD, CE ®AF). (a) Find (BD)+ (b) Find (AB)+ (c) Find Candidate Keys for R Question 3 Given the scheme R= (ABC), and following set of functional dependencies: F = (A®BC, B® AC, C ® AB). (a) Find closure (BC, F) (b) Find at least one candidate key for R. (c) Find at least one super-key for R which is not the same as your answer in (b). (d) Find at least one minimal cover for a relational scheme (ABC). Show work. (e) Provide a 3NF decomposition for R. Question 4 Consider the following set of FDs: F = (A ® B, AB ® C, D ® AC, D ® E) G = (A ® BC, D ® AE) H = (A ® BC, B ® C, A ® B, AB ® C, AC ® D). (a) Is F ≡ G? Show your work. (b) Find the minimal cover for H. Show work.

etween. * A B D 3. Which shows the following numbers in order from least to greatest? * B C D 4. Which is the best name for this group of numbers? * A B D 5. Which point on the number line best represents √3? * A B C For question 6 and 7, write each number in either scientific notation or standard notation. 6. The diameter of Mercury is 4879 kilometers. * 7. The diameter of a bacterial cell called a mycoplasma is about 2 x 10-7 meter. * 8. In which group are the numbers in order from greatest to least? * B C D 9. Greg found the length of a hypotenuse of a right triangle to be √90 feet. Between which two integers does √90 lie? * A B C 10. Which is the best name for this group of numbers? * A C D 11. The water levels of five Texas lakes were measured on the same day in 2010. The table below shows the number of feet above or below normal level for each lake. Which list shows the numbers in the table from greatest to least? * B C D 12. Which numbers from this list are less than -0.94? * B C D 13. The length of a micrometer is approximately 0.00003937 inch. How would you express this in scientific notation? * A B C 14. The National Park Service manages approximately 84,000,000 acres of federal land. How would you express this number using scientific notation? * B C D 15. Seismosaurus is the longest known dinosaur. It measured 1800 inches. How far would 3000 Seismosaurus dinosaurs span if they were placed head to tail? Write your answer in scientific notation. *

west cost per minute? a 200 minutes for $24.50 b 550 minutes for $68.00 c 700 minutes for $80.25 d 850 minutes for $99.50

oth commodities is strictly positive a idc are convex but not strictly convex b the bundle (5,6) is weakly preferred to the bundle (3,10) c commodity 2 is inferior d commodity 1 is a giffen good e none of the above

s call for a light to be placed at the midpoint of the longest side of the flower bed. The architect decides to change the location of the flower bed using the transformation (x, y) arrowright (x, −y). Describe the location of the light in the transformed flower bed. Use coordinate notation to input the points.The coordinates of the transformed flowerbed are: A (−2, 3) arrowright A ′ B (2, 4) arrowright B ′ C (5, 3) arrowright C ′ D (−1, 1) arrowright D ′

__. A : haploid chromosomes B : somatic chromosomes C : analogous chromosomes D : homologous chromosomes

C D Here is their argument. Given the obtuse angle x, we make a quadrilateral ABCD with ∠DAB = x, and ∠ABC = 90◦ , and AD = BC. Say the perpendicular bisector to DC meets the perpendicular bisector to AB at P. Then P A = P B and P C = P D. So the triangles P AD and P BC have equal sides and are congruent. Thus ∠P AD = ∠P BC. But P AB is isosceles, hence ∠P AB = ∠P BA. Subtracting, gives x = ∠P AD − ∠P AB = ∠P BC − ∠P BA = 90◦ . This is a preposterous conclusion – just where is the mistake in the “proof” and why does the argument break down there?

is Imagine that in the voting for a certain​ award, 7 points are awarded for first​ place, 4 points for​ second, 3 points for​ third, 2 points for​ fourth, and 1 point for fifth. Suppose there were five candidates​ (A, B,​ C, D, and​ E) and 47 voters. When the points were​ tallied, A had 155 ​points, B had 173 ​points, C had 170 ​points, and D had 154 points. Find how many points E had and give the ranking of the candidates.​ (Hint: Each of the 47 ballots hands out a fixed number of points. Figure out how​ many, and take it from​ there.)