Correct answer only ! i cannot retake the population of bacteria in a petri dish doubles every 12 h. the population of the bacteria is initially 500 organisms. how long will it take for the population of the bacteria to reach 800? round your answer to the nearest tenth of an hour. a. 4.8 h b. 7.6 h c. 8.1 h d. 9.2 h

500 (2^(t/12)) = 800 , where t is in hours
2^(t/12) = 1.6
take logs of both sides, and use the rules of logs
t/12 log2 = log 1.6
t/12 = log 1.6/log 2 
t = 12(log 1.6/log 2)
= appr 8.1 hours

(btw not sure about this)

Answer: d. 39 cmin the diagram, the approximate length of the minor arc de is 39 centimetres.step-by-step explanation: the formula for the length of an arc in a circle is as displayed below.let the length of the minor arc de = xx = 2( pi )r × angle of sector / 360°from this, we will substitute the values given from the problem into the formula to obtain the length of the minor arc de.x = 2( pi )r × angle of sector / 360°r = radius = 25cmpi as an approximate value = 3.14angle of sector = 120°x = 2( 3.14 )( 25 ) × 120° / 360°x = 157 × 1 / 4x = 39.25x = 39 ( rounded to the nearest whole number as an approximate value )