Please help.

Assume that a cell culture has a density of 10^8 cells/mL. You transfer 20 microliters of this culture onto the microscope slide.
A) How many cells do you expect will be in this 20 microliters drop you placed under the microscope?

B) You add to your sample above an equal volume of a liquid dye, India Ink solution. You transfer 20 microliters of this mixture onto a microscope slide. How many cells do you expect will be now on this 20 microliters drop you placed under the microscope?

A) To determine the number of cells in a 20 microliters (μL) drop, we can use the given cell density of 10^8 cells/mL.

First, we need to convert the volume from microliters to liters. To do this, we divide the volume by 1,000,000:

20 μL / 1,000,000 = 0.00002 L

Next, we can calculate the number of cells in this volume. We multiply the volume by the cell density:

0.00002 L * 10^8 cells/mL = 2000 cells

Therefore, you can expect there to be 2000 cells in the 20 μL drop you placed under the microscope.

B) When you add an equal volume of India Ink solution to the original cell culture, the total volume doubles (20 μL + 20 μL = 40 μL).

Using the same conversion process as before, we find that 40 μL is equal to 0.00004 L.

To calculate the number of cells in this volume, we again multiply the volume by the cell density:

0.00004 L * 10^8 cells/mL = 4000 cells

Hence, you can expect there to be 4000 cells in the 20 μL drop that now includes the India Ink solution.

A) To determine the number of cells in the 20 microliters drop placed under the microscope, we'll need to calculate the volume of cells transferred and then multiply it by the cell density.

Given:
Cell culture density = 10^8 cells/mL
Volume transferred = 20 microliters

To calculate the number of cells transferred, we'll convert the volume from microliters to milliliters and then multiply it by the cell density:
20 microliters = 20/1000 mL = 0.02 mL
Number of cells transferred = 0.02 mL * 10^8 cells/mL = 2 * 10^6 cells

Therefore, you would expect to have 2 million cells in the 20 microliters drop you placed under the microscope.

B) After adding an equal volume of India Ink solution, the total volume of the mixture will be 20 + 20 = 40 microliters.

To determine the number of cells in this 40 microliters mixture, we'll need to calculate the new volume of cells transferred and then multiply by the cell density.

Volume of cells transferred = 20 microliters
Number of cells transferred = 20 microliters * 10^8 cells/mL = 2 * 10^6 cells

Therefore, you would still expect to have 2 million cells in the new 20 microliters drop you placed under the microscope, even after adding the India Ink solution.