During a research experiment, it was found that the number of bacteria in a culture grew at a rate proportional to its size. at 8: 00 am there were 6,000 bacteria present in the culture. at noon, the number of bacteria grew to 6,800. how many bacteria will there be at midnight?

Find the arc length parameter along the given curve from the point where tequals=0 by evaluating the integral s(t)equals=integral from 0 to t startabsolutevalue bold v left parenthesis tau right parenthesis endabsolutevalue d tau∫0tv(τ) dτ. then find the length of the indicated portion of the curve r(t)equals=1010cosine tcost iplus+1010sine tsint jplus+88t k, where 0less than or equals≤tless than or equals≤startfraction pi over 3 endfraction π 3.

Determine which expressions represent real numbers and which expressions represent complex number. asaaap! plis!

If the line in the graph is shifted up two units which is the equation of the new line