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Lostsunrise [7]
3 years ago
14

A and b are natural numbers. The diameter of cell a is 2.3 , and the diameter of cell b is 2.3 .

Mathematics
2 answers:
Pani-rosa [81]3 years ago
8 0

After clarification we see the respective diameters are

A = 2.3 \times 10^{-a}

B = 2.3 \times 10^{-b}

We're asked about the ratio

A:B =  2.3 \times 10^{-a} :  2.3 \times 10^{-b} = 10^{-a} : 10^{-b} = 10^b : 10^a = 10^{b-a} : 1

Now we can go through the choices.

A. If a = 4 and b = 6, then cell a is 100 times greater than cell b.

A:B=10^{6-4}:1 = 100:1

It would be more proper to say the diameter of cell A is 100 times the diameter of cell B, but yes, this is TRUE.

B. If a = 4 and b = 6, then cell b is 100 times greater than cell a.

FALSE. 10 to the minus 4 is 100 times bigger than 10 to the minus 6, so a is bigger.

C. If a = 4 and b = 6, then cell a is 2 times greater than cell b.

FALSE. We already calculated its 100 times bigger.

D. If a = 4 and b = 6, then cell b is 2 times greater than cell a.

FALSE.


Svetlanka [38]3 years ago
8 0

Answer:

A. If a = 4 and b = 6, then cell a is 100 times greater than cell b.

Step-by-step explanation:

2.3/2.3= 1

10(-4)/10(-6)=10(2)

your answer is 100, cell a is 100 times greater than cell b.

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