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• the formula s = startroot startfraction s a over 6 endfraction endroot gives the length of the side, s, of a cube with a surface area, sa. how much longer is the side of a cube with a surface area of 480 square meters than a cube with the surface area of 270 square meters? startroot 5 endroot m startroot 35 endroot m startroot 210 endroot m 7 startroot 5 endroot m
  
• what type of government system has the following characteristics? i. a monarch is the head of state. ii. the powers of the monarch are limited by a constitution. iii. citizen vote for members of a legislative body. iv. the legislative body chooses the head of government. a. a constitutional monarchy b. a monarchy c. a parliamentary democracy d. a federal democracy
  
• given: ab = 12 ac = 6 prove: c is the midpoint of ab. proof: we are given that ab = 12 and ac = 6. applying the segment addition property, we get ac + cb = ab. applying the substitution property, we get 6 + cb = 12. the subtraction property can be used to find cb = 6. the symmetric property shows that 6 = ac. since cb = 6 and 6 = ac, ac = cb by the property. so, ac ≅ cb by the definition of congruent segments. finally, c is the midpoint of ab because it divides ab into two congruent segments.
  
• in four years, i'll be as old as katie is now!"" elena writes these equations to help her make sense of the situation: ""k"" minus 9 equals 2 left parenthesis, ""e"" minus 9 , right parenthesis ""e"" plus 4 equals ""k"" if elena is currently ""e"" years old and katie is ""k"" years old, how old is katie now?
  
• which of the following best identifies where long-range order would be found?
  
• why should the fine focus knob typically be used with the 10x and 40x objective lenses?
  
• which words from the excerpt convey the tone? “thanked” and “retreated” “assailed” and “reentered” “placing” and “scalloped” “clutching” and “suppressed”
  
• which statement best describes the change of tone in the final paragraph? the tone is more admiring as the author confirms that the berlin tunnel was the most important part of the cold war. the tone is frightened as the author begins to share details of the cold war that followed. the tone is more reflective as the author connects the berlin tunnel to the cold war that followed. the tone is humorous as the author connects the berlin tunnel to a “propaganda frenzy.”
  
• the function p(x) = –2(x – 9)2 + 100 is used to determine the profit on t-shirts sold for x dollars. what would the profit from sales be if the price of the t-shirts were $15 apiece?
  
• 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.