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• which expressions correctly represent variations of ohm’s law? check all that apply.
  
• the equation y = 1 5 x represents a proportional relationship. explain how you can tell the relationship is proportional from the graph of the equation, and how you can find the constant of proportionality.
  
• elias purchases a home for $38,900. the value of the home, in thousands of dollars, since his purchase is shown in the table. a 2-column table with 6 rows. the first column is labeled years since purchase with entries 0, 5, 10, 15, 20, 25. the second column is labeled value (thousands of dollars) with entries 38.9, 62.4, 89.3, 145.2, 210.8, 326.5. find an exponential function that models the data. round numerical values to the nearest hundredth. let x be the number of years since the purchase. the function f(x) = ( )x models the data. use the model to predict the home’s value. after 12 years, the home’s value will be about $ thousand. after 35 years, the home’s value will be about $ thousand.
  
• how did the republican party form? the party evolved from the democratic-republicans. the party formed by combining several antislavery factions. the party combined several parties that supported strong centralized rule. the party developed because of a disagreement about the role of government.
  
• in which two ways did the spread of enlightenment thought contribute to the french revolution?
  
• tyler believes that an 8-sided die can be used to predict whether customers at his store will use a coupon when making their purchases, with a roll of 1 indicating a coupon and all other outcomes indicating no coupon. today, 4 of the first 48 customers in the store used a coupon. how does the experimental probability of a customer using a coupon compare to the theoretical probability of tyler’s die? the experimental probability is greater than the theoretical probability by more than 2%. the experimental probability is less than the theoretical probability by more than 2%. the experimental probability is greater than the theoretical probability, but within 2%. the experimental probability is less than the theoretical probability, but within 2%.
  
• drag each expression to the correct location in the equation. not all expressions will be used. determine the two rational expressions whose difference completes this equation.
  
• which equation(s) have x = –3 as the solution? log3(2x + 15) = 2 log5(8x + 9) = 2 log4(–20x + 4) = 3 logx81 = 4
  
• describe in detail the most memorable visual aid you've ever seen used in a presentation. why does it stick out in your memory? how was it used to illustrate a point? what did you learn from this experience?
  
• sean recorded everyone’s number-cube rolls during the game. 1, 6, 2, 1, 5, 4, 2, 2, 1, 4, 5, 1, 3, 4, 1 he stated that the theoretical probability of rolling a 1 is greater than rolling any other number. explain sean’s error.