Question

the size of a cell is typically found by capturing an image under a microscope then using software to measure its diameter. two cells are measured using this method: cell e: 8, point, 3, 9, times, 10, to the power minus 28.39×10 −2 centimeters cell f: 6, point, 0, 1, times, 10, to the power minus 36.01×10 −3 centimeters what's the difference between the diameters of the two cells? express your answer using either standard notation or scientific notation.

Answer 1

what is it in standard notation

Answer 2

To find the difference between the diameters of cell E and cell F, we first need to express both measurements in a comparable format (either standard notation or scientific notation).

1. **Cell E**:
- The diameter is given as \(8.39 \times 10^{-28.39 \times 10^{-2}}\) cm.
- Here, \(-28.39 \times 10^{-2} = -0.2839\), so the diameter of cell E becomes \(8.39 \times 10^{-0.2839}\).

2. **Cell F**:
- The diameter is given as \(6.01 \times 10^{-36.01 \times 10^{-3}}\) cm.
- Here, \(-36.01 \times 10^{-3} = -0.03601\), so the diameter of cell F becomes \(6.01 \times 10^{-0.03601}\).

Next, we convert these values into numeric values using a calculator:

1. **Calculate the diameter of Cell E**:
\[
8.39 \times 10^{-0.2839} \approx 8.39 \times 0.5342 \approx 4.48 \text{ (approximately)}
\]

2. **Calculate the diameter of Cell F**:
\[
6.01 \times 10^{-0.03601} \approx 6.01 \times 0.8648 \approx 5.19 \text{ (approximately)}
\]

Now, to find the difference, we subtract the diameter of cell F from that of cell E:

\[
\text{Difference} = \text{Diameter of Cell E} - \text{Diameter of Cell F} \approx 4.48 - 5.19 \approx -0.71
\]

Thus, the difference in the diameters of Cell E and Cell F is approximately \(-0.71\) cm.

In scientific notation, this can be expressed as:

\[
\text{Difference} \approx -7.1 \times 10^{0}
\]

So, the final answer is that the difference between the diameters of the two cells is approximately \(-0.71\) centimeters.

Answer 3

The difference in the diameters of the two cells calculated was approximately \(-0.71\) cm.

In standard notation, this value is simply expressed as:

\[
-0.71 \text{ centimeters}
\]

If you have further queries or need additional assistance, feel free to ask!