The number of bacteria present in a culture after t minutes is given as B=1000e^k, where k is a constant. If there are 8520 bacteria present after 15 minutes, find k and round to the nearest thousandth.

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

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