Based on prior experiments, you have determined that for a culture of S. aureus an absorbance reading of 1.0 AU650 is approximately equal to 5.75 x 106 cells/mL. How many cells should be present after 8 generations in a 1 mL culture, if the initial cell culture had an absorbance reading of 1.25

18.38 × 10⁸.

Explanation:

Absorbance of the cell is directly proportional to their number

A\alpha cells/mL

A=K ×cells/mL ( Here, K is a constant)

so A/ (cells/mL)=K

so A1/( cells/mL)1=A2/ ( cells/mL)2

Here, A1 is initial absorbance, (cells/mL)1= initial concentration, (cells/mL)2= final concentration, A2= final absorption

so ( cells/mL)2=(A2* (cells/mL)1 ) / A1

= (1.25 × 5.75 ×10⁶)/1

= 7.18 ×10⁶.

so final concentration of bacteria in the culture having an absorbance of 1.25 =  7.18 ×10⁶.

so the number of cells after 8 generations

The cell growth is geometrically ,  after one generation the number of cell doubles, and after a second-generation number of cells becomes 4 times that of initial concentration.

the nth term of geometric progression=arⁿ⁻¹

Here, a is the first term, r =2 ( r=nth term/ (n-1) th term)

here n=9 ( n= number of generations+1)

so 9th term= (7.18 ×10⁶ × 2⁸)

= 18.38 × 10⁸.

so number of cells in 1 mL after 8 generations= 18.38 × 10⁸.

Thus, the answer is 18.38 × 10⁸.

measuring physical properties lab reportinstructions: in the physical properties lab, you will test the physical properties of different building materials in order to pick the appropriate materials for a new home in tiny world. record your observations and test measurements in the lab report below. youwill submit your completed report.name and title: lyric lawton, mr.herbert, 10/13/17, physical properties lab. objective(s): i need to parvus build his house out of the right material, so he will stay cool in the mountains.hypothesis: if we use wood to build the roof of the house, then the temperature inside the house will remain cooler.if we use clay brick to build the walls and floors of the house, then the temperature inside the house will remain cooler.if we use aluminium to bring electricity into the home, then it will allow electricity to flow into the home at a faster rate.if we use iron to construct the latches on the windows and doors, then the magnetism will keep the latches secure.