Suppose we want to choose 5 letters, without replacement, from 9 distinct letters. (If necessary, consult a list of formulas.) (
1 answer:
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Given the expression:
![\sqrt[4]{ \frac{24x^{6}y}{128x^{4}y^{5}}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%20%5Cfrac%7B24x%5E%7B6%7Dy%7D%7B128x%5E%7B4%7Dy%5E%7B5%7D%7D%7D)
Simplifying:
![\sqrt[4]{ \frac{3x^{2}}{16y^{4}}}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%20%5Cfrac%7B3x%5E%7B2%7D%7D%7B16y%5E%7B4%7D%7D%7D)
Then the answer is:
![\frac{ \sqrt[4]{3x^{2}}}{2y}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Csqrt%5B4%5D%7B3x%5E%7B2%7D%7D%7D%7B2y%7D%20)
Simplifying:
Then the answer is:
1-
Given length is 91 cm
1 cm = 0.3937 inch
so, 91 cm = 91* 0.3937 = 35.826 inches
1 day = 24 hours
In 24 hours the bamboo grows = 35.826 inches
In one hour it will grow =
= 1.492 inches per hour. Hence the bamboo grows 1.492 inches per hour.
2-
We have to convert hours and seconds in minutes.
1 hour = 60 minutes
so 10 hours = 60 * 10 = 600 minutes.
60 seconds = 1 minute
so 24 seconds = = 0.4 minutes.
Now we have been given the total time as 10 hours, 39 minutes and 24 seconds
So adding all values in minutes, we get
600 + 39 + 0.4 = 639.4 minutes
So Saturn takes 639.4 minutes to complete one rotation
3-
Given equation is 0.4(30h)+30h
0.4(30h) represents the amount of tax Kimberly has to pay.