Question

The approximate areas of Texas and Washington, D.C. are listed below:
Texas: 6, point, 9, 6, times, 10, to the power 56.96×10
5
square kilometers
Washington, D.C.: 1, point, 7, 7, times, 10, squared1.77×10
2
square kilometers
How many times larger is Texas than Washington, D.C.? Write your answer in standard notation, rounding to the nearest tenth.

Answer 1

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 C: 4, point, 1, 6, times, 10, to the power minus 24.16×10
−2
centimeters
Cell D: 9, point, 5, times, 10, to the power minus 49.5×10
−4
centimeters
How much larger is the diameter of cell C than the diameter of cell D? Express your answer using scientific notation.

Answer 2

pls try a different method

Answer 3

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 C: 4, point, 1, 6, times, 10, to the power minus 24.16×10
−2
centimeters
Cell D: 9, point, 5, times, 10, to the power minus 49.5×10
−4
centimeters
How much larger is the diameter of cell C than the diameter of cell D? Express your answer using scientific notation.

Answer
Attempt 1 out of 2

Answer:
times, 10×10
centimeters

Answer 4

can u try again I understand this is hard but I would like the correct answwer

Answer 5

To find how many times larger Texas is than Washington, D.C., we need to divide the area of Texas by the area of Washington, D.C.

Area of Texas = 6.96 × 10^5 square kilometers
Area of Washington, D.C. = 1.77 × 10^2 square kilometers

Dividing the area of Texas by the area of Washington, D.C.:

(6.96 × 10^5) / (1.77 × 10^2) ≈ 39,325.42

Texas is approximately 39,325.4 times larger than Washington, D.C.

Answer 6

To find how much larger the diameter of cell C is than the diameter of cell D, we need to divide the diameter of cell C by the diameter of cell D.

Diameter of cell C = 4.16 × 10^-2 centimeters
Diameter of cell D = 9.5 × 10^-4 centimeters

Dividing the diameter of cell C by the diameter of cell D:

(4.16 × 10^-2) / (9.5 × 10^-4) = 4.374. It is a pure number ratio.

The diameter of cell C is approximately 4.374 times larger than the diameter of cell D.

Answer 7

Sure, we can compare the sizes of the cells by subtracting their logarithm values.

Log(C) = log(4.16 × 10^-2) = -1.381
Log(D) = log(9.5 × 10^-4) = -3.022

To find the difference in sizes, we subtract the logarithm values:
Log(C) - Log(D) = -1.381 - (-3.022) = 1.641

The difference in logarithm values represents the difference in size between the two cells. To convert it back to scientific notation, we take 10 raised to the power of the result:

10^(1.641) = 44.663

Therefore, the diameter of cell C is approximately 44.663 times larger than the diameter of cell D.

Answer 8

To find the difference in size between cell C and cell D, we need to subtract the diameter of cell D from the diameter of cell C.

Diameter of cell C = 4.16 × 10^-2 centimeters
Diameter of cell D = 9.5 × 10^-4 centimeters

Subtracting the diameter of cell D from the diameter of cell C:

(4.16 × 10^-2) - (9.5 × 10^-4) = 4.16 × 10^-2

Therefore, the diameter of cell C is 4.16 × 10^-2 centimeters larger than the diameter of cell D.

Answer 9

Apologies for the confusion earlier. Let's try again using the correct method.

To find the difference in size between cell C and cell D, we can divide the diameter of cell C by the diameter of cell D.

Diameter of cell C = 4.16 × 10^-2 centimeters
Diameter of cell D = 9.5 × 10^-4 centimeters

Dividing the diameter of cell C by the diameter of cell D:

(4.16 × 10^-2) / (9.5 × 10^-4) = (4.16 / 9.5) × 10^(-2 - (-4)) = 0.43684 × 10^2 = 4.3684

Therefore, the diameter of cell C is approximately 4.3684 times larger than the diameter of cell D. In scientific notation, this can be written as 4.3684 × 10^0.