Question

HELP ITS THE BIGGEST GRADE IF THE YEAR In a science experiment, a scientist records the wavelengths of six waves. The wavelengths, in nanometers, are listed below.

0.0001
5/100
10^-3
1.0001
1/1,000
2x10^-2


Part A: Which two wavelengths are equal?


Part B: Which wavelength is the shortest?


To find the speed of a wave, the scientist uses the formula shown below.

speed = (wavelength) • (frequency)

The wave with wavelength 10^-3 nanometer has a frequency of 10^x .The speed of the wave is 10^y .where y > 3.


C. Write an inequality in terms of x to represent all possible values of x.

The wavelength of a seventh wave is recorded. The wavelength is greater than 2x10^-2 nanometer and less than
5/100 nanometer.

D. Write a possible wavelength, in nanometers, for the seventh wavelength. Write the possible wavelength as a fraction with a denominator of 100.

Answer 1

Sure, I can help you with that.

Part A:

The wavelengths 0.0001 and 10^-3 are equal. This is because 0.0001 = 10^-3.

Part B:

The shortest wavelength is 0.0001 nanometers. This is because it is the smallest number in the list.

Part C:

The speed of the wave is 10^y, where y > 3. This means that y must be greater than 3. Therefore, the inequality in terms of x to represent all possible values of x is x > -3.

Part D:

The wavelength of the seventh wave is greater than 2x10^-2 nanometers and less than 5/100 nanometers. This means that the wavelength is between 0.004 and 0.05. A possible wavelength for the seventh wave is 4/100, which is equal to 0.04 nanometers.

Here is a table summarizing the answers:

Explanation: