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Set 1. [tex]\frac{24\pi}{5}, \frac{63}{4} , 15.758, 956\sqrt{e}[/tex] is correctly ordered from least to greatest.
Step-by-step explanation:
Step 1:
We must determine each of the individual values to be able to arrange the given numbers.
[tex]\frac{24\pi}{5} = \frac{(24)(3.1415)}{5} = 15.0792.[/tex]
[tex]\frac{63}{4} = 15.75.[/tex]
[tex]956 \sqrt{e} = 956 (1.648) = 1,575.488.[/tex]
While the other value is 15.758.
Now that we have all the four values, we can arrange them in ascending order.
Step 2:
The least value is [tex]\frac{24\pi}{5} = 15.0792.[/tex]
The values [tex]\frac{63}{4} = 15.75[/tex] and 15.758 are nearly equal but 15.758 is lesser than 15.75.
The greatest value is [tex]956 \sqrt{e} .[/tex]
So the ascending order of the given values is [tex]\frac{24\pi}{5}, \frac{63}{4} , 15.758, 956\sqrt{e} .[/tex]
This is the first option.