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Work out the area of the trapezium ABDE.9 cm6 cm What was an important strategy used by the Romans to unify their empires? * 4 points building a large network of roads and bridges using powerful navies to protect sea trade routes supporting free-market economies by minting silver coins granting citizenship and voting rights to conquered peoples When plotting points on the coordinate plane below, which point would lie on the y-axis?? write an essay explaining why leaders must be careful with the power they are given. Explain the concept of Happy Atoms as it relates to why atoms bond together. How do chemists use systems and order in their work? Jim usually goes to the movies with friends on Friday nights at the local movie theater. This week, the movie theater held over the movie, Anchorman 2, which Jim saw last week. Jim and his buddies decide to go bowling rather than attend the movie a second time. Which of the following best describes why Jim decided to go bowling this weekend?a. Jim's utility function b. Diminishing marginal returns c. Profit maximization d. Consumer budget constraint Identify the cause and the effect in this scenario: Because ____(a.)________ , South Carolina decided to ___(b.)______. What options below correctly fill in blanks a and b in the statement above? Question 12 options:a. slavery was made illegal; b. secede from the United States a. Jefferson Davis was elected President; b. fight for the capital to be moved to their state a. Abraham Lincoln was elected President; b. secede from the United States a. Abraham Lincoln was elected President; b. remain a part of the United States Find the product of theL.C.M and H.C.F of 8 and 12. Crop yield is the ratio of the number of bushels harvested to the number of acres used for the harvest. This year, the harvest at a farm was 94,010 bushels of grain, resulting in a crop yield of 170 bushels per acre.To the nearest whole acre, how many acres were harvested?453 acres489 acres509 acres553 acres Given: B bisects EA, FE is parallel to CA, DC is parallelto GFProve: Triangle BGF Triangle BDCWhich method?ESSSSASAASOHLBASAAINTL 9:53 Change the voice: He was caught for littering in the streets and fined.a,The police would catch him for littering and fine him.b,He would get caught for littering and fined.c,The police could get him for littering and fine him.d,The police caught him littering in the streets and fined him. a. Pretzelmania, Inc., issues 7%, 10-year bonds with a face amount of $70,000 for $70,000 on January 1, 2015. The market interest rate for bonds of similar risk and maturity is 7%. Interest is paid semiannually on June 30 and December 31.b. Pretzelmania, Inc., issues 7%, 15-year bonds with a face amount of $70,000 for $63,948 on January 1, 2015. The market interest rate for bonds of similar risk and maturity is 8%. Interest is paid semiannually on June 30 and December 31.c. Pretzelmania, Inc., issues 7%, 15-year bonds with a face amount of $70,000 for $76,860 on January 1, 2015. The market interest rate for bonds of similar risk and maturity is 6%. Interest is paid semiannually on June 30 and December 31.Required:Record the bond issue and first interest payment on June 30, 2015. Find the increasing functions. Then arrange the increasing functions in order from least to greatest rate of change. (not all of the functions will be used) y= 5/2x + 10 y= -1/2x + 1/2y= 3/2x - 11/2y= 1/2x - 2y= 4/3x - 7/3y=3/4x - 10 An airplane flies at an altitude of 14,690 feet while a submarine is submerged at a depth of 521 feet below the surface of the ocean. What is the difference between these two elevations? Do you have any pop songs i can re edit and it has to be from your head1 or 3 sentences describe how an electromagnet can be switched on and off. What is the molarity of a sodium carbonate solution containing 32.52 g Na2CO3 dissolved in enough water to make 822 ml of solution?NEED ASAP PLEASE!! Carole has $53.95 and washes cars for $8 each. Carole wants to attend a musical that costs $145.75.a. Write and solve an inequality to determine the minimum number of cars Carole must wash to be able to buy the ticket to the musical. Which phrase matches the equation -3r + 5 = 28?Group of answer choicesThe product of negative three and a number plus five equals twenty-eight.The sum of negative five plus three times a number equals twenty-eight.The sum of three and a number times negative five gives twenty-eight.The product of three times a number equals twenty-eight.