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
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.
To find the difference between the diameters of cell D and cell E, subtract the diameter of cell E from the diameter of cell D.
Diameter of Cell D = 2.4 × 10^(-3) centimeters
Diameter of Cell E = 5.9 × 10^(-4) centimeters
Subtracting the two diameters:
2.4 × 10^(-3) - 5.9 × 10^(-4) = 1.85 × 10^(-3) centimeters
Therefore, the difference between the diameters of the two cells is 1.85 × 10^(-3) centimeters.
To find the difference between the diameters of the two cells, we need to subtract the diameter of Cell E from the diameter of Cell D.
Given:
Diameter of Cell D = 2.45 × 10^(-3) centimeters
Diameter of Cell E = 5.9 × 10^(-4) centimeters
Now, let's subtract the diameter of Cell E from the diameter of Cell D:
(2.45 × 10^(-3)) - (5.9 × 10^(-4))
To subtract these values, we need to make sure the exponents of 10 are the same. In this case, we can convert the diameter of Cell E into the same exponent as Cell D:
(2.45 × 10^(-3)) - (0.59 × 10^(-3))
Now, we can subtract the values:
2.45 × 10^(-3) - 0.59 × 10^(-3) = 1.86 × 10^(-3)
The difference between the diameters of the two cells is 1.86 × 10^(-3) centimeters.