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 D: 2, point, 4, 5, times, 10, to the power minus 32.45×10
−3
centimeters
Cell E: 5, point, 9, times, 10, to the power minus 45.9×10
−4
centimeters
What's the difference between the diameters of the two cells? Express your answer using either standard notation or scientific notation.

Answer
Attempt 2 out of 2

Standard Notation
Answer:
centimeters

5 answers

To find the difference between the diameters of the two cells, we subtract the diameter of Cell D from the diameter of Cell E.

Cell D: 2.45 × 10^(-3) centimeters
Cell E: 5.9 × 10^(-4) centimeters

Difference = Cell E diameter - Cell D diameter
= (5.9 × 10^(-4)) - (2.45 × 10^(-3))
= (0.00059) - (0.00245)
= -0.00186 centimeters

So, the difference in the diameters of the two cells is -0.00186 centimeters or -1.86 × 10^(-3) centimeters in scientific notation.
The mass of a carbon-12 atom is 1, point, 9, 9, times, 10, to the power minus 231.99×10
−23
grams. The mass of a neutron is 1, point, 6, 8, times, 10, to the power minus 241.68×10
−24
grams. How many times greater is the mass of a carbon-12 atom than the mass of a neutron? Write your answer in standard notation, rounding to the nearest tenth.
Answer
Attempt 1 out of 2

Standard Notation
Answer:
To find the ratio of the mass of a carbon-12 atom to the mass of a neutron, we divide the mass of the carbon-12 atom by the mass of the neutron.

Mass of carbon-12 atom: 1.99 × 10^(-23) grams
Mass of neutron: 1.68 × 10^(-24) grams

Ratio = Mass of carbon-12 atom / Mass of neutron
= (1.99 × 10^(-23)) / (1.68 × 10^(-24))
= (1.99 / 1.68) × (10^(-23) / 10^(-24))
= 1.183 × 10^(1)
= 11.83

Therefore, the mass of a carbon-12 atom is 11.83 times greater than the mass of a neutron.
pls answer correctly
Apologies for the confusion. Let's calculate the correct answer.

To find the ratio of the mass of a carbon-12 atom to the mass of a neutron, we divide the mass of the carbon-12 atom by the mass of the neutron.

Mass of carbon-12 atom: 1.99 × 10^(-23) grams
Mass of neutron: 1.68 × 10^(-24) grams

Ratio = Mass of carbon-12 atom / Mass of neutron
= (1.99 × 10^(-23)) / (1.68 × 10^(-24))
= (1.99 / 1.68) × (10^(-23) / 10^(-24))
= 1.18 × 10^(1)
= 11.8

Therefore, the mass of a carbon-12 atom is approximately 11.8 times greater than the mass of a neutron.