Answer:
0.57 or 0.6
Step-by-step explanation:
For this case we must simplify the following expression:
![\sqrt [5] {\frac {10x} {3x ^ 3}}](https://tex.z-dn.net/?f=%5Csqrt%20%5B5%5D%20%7B%5Cfrac%20%7B10x%7D%20%7B3x%20%5E%203%7D%7D)
We rewrite the expression as:
![\sqrt [5] {\frac {10x} {x * 3x ^ 2}} =](https://tex.z-dn.net/?f=%5Csqrt%20%5B5%5D%20%7B%5Cfrac%20%7B10x%7D%20%7Bx%20%2A%203x%20%5E%202%7D%7D%20%3D)
We eliminate common factors:
![\sqrt [5] {\frac {10} {3x ^ 2}} =\\\frac {\sqrt [5] {10}} {\sqrt [5] {3x ^ 2}}](https://tex.z-dn.net/?f=%5Csqrt%20%5B5%5D%20%7B%5Cfrac%20%7B10%7D%20%7B3x%20%5E%202%7D%7D%20%3D%5C%5C%5Cfrac%20%7B%5Csqrt%20%5B5%5D%20%7B10%7D%7D%20%7B%5Csqrt%20%5B5%5D%20%7B3x%20%5E%202%7D%7D)
We multiply the numerator and denominator:
![(\sqrt [5] {3x ^ 2}) ^ 4:\\\frac {\sqrt [5] {10}} {\sqrt [5] {3x ^ 2}} * \frac {(\sqrt [5] {3x ^ 2}) ^ 4} {(\sqrt [5] {3x ^ 2}) ^ 4} =](https://tex.z-dn.net/?f=%28%5Csqrt%20%5B5%5D%20%7B3x%20%5E%202%7D%29%20%5E%204%3A%5C%5C%5Cfrac%20%7B%5Csqrt%20%5B5%5D%20%7B10%7D%7D%20%7B%5Csqrt%20%5B5%5D%20%7B3x%20%5E%202%7D%7D%20%2A%20%5Cfrac%20%7B%28%5Csqrt%20%5B5%5D%20%7B3x%20%5E%202%7D%29%20%5E%204%7D%20%7B%28%5Csqrt%20%5B5%5D%20%7B3x%20%5E%202%7D%29%20%5E%204%7D%20%3D)
\frac {\ sqrt [5] {10} * (\sqrt [5] {3x ^ 2}) ^ 4} {\sqrt [5] {3x ^ 2} * (\sqrt [5] {3x ^ 2} ) ^ 4} =
![\frac {\sqrt [5] {10} * (\sqrt [5] {3x ^ 2}) ^ 4} {(\sqrt [5] {3x ^ 2}) ^ 5} =\\\frac {\sqrt [5] {10} * (\sqrt [5] {3x ^ 2}) ^ 4} {3x ^ 2} =](https://tex.z-dn.net/?f=%5Cfrac%20%7B%5Csqrt%20%5B5%5D%20%7B10%7D%20%2A%20%28%5Csqrt%20%5B5%5D%20%7B3x%20%5E%202%7D%29%20%5E%204%7D%20%7B%28%5Csqrt%20%5B5%5D%20%7B3x%20%5E%202%7D%29%20%5E%205%7D%20%3D%5C%5C%5Cfrac%20%7B%5Csqrt%20%5B5%5D%20%7B10%7D%20%2A%20%28%5Csqrt%20%5B5%5D%20%7B3x%20%5E%202%7D%29%20%5E%204%7D%20%7B3x%20%5E%202%7D%20%3D)
![\frac {\sqrt [5] {10} * \sqrt [5] {(3x ^ 2) ^ 4}} {3x ^ 2} =\\\frac {\sqrt [5] {10} * \sqrt [5] {81x ^ 8}} {3x ^ 2} =\\\frac {\sqrt [5] {10} * \sqrt [5] {81x ^ 5 * x ^ 3}} {3x ^ 2} =](https://tex.z-dn.net/?f=%5Cfrac%20%7B%5Csqrt%20%5B5%5D%20%7B10%7D%20%2A%20%5Csqrt%20%5B5%5D%20%7B%283x%20%5E%202%29%20%5E%204%7D%7D%20%7B3x%20%5E%202%7D%20%3D%5C%5C%5Cfrac%20%7B%5Csqrt%20%5B5%5D%20%7B10%7D%20%2A%20%5Csqrt%20%5B5%5D%20%7B81x%20%5E%208%7D%7D%20%7B3x%20%5E%202%7D%20%3D%5C%5C%5Cfrac%20%7B%5Csqrt%20%5B5%5D%20%7B10%7D%20%2A%20%5Csqrt%20%5B5%5D%20%7B81x%20%5E%205%20%2A%20x%20%5E%203%7D%7D%20%7B3x%20%5E%202%7D%20%3D)
![\frac {\sqrt [5] {10} * x \sqrt [5] {81x ^ 3}} {3x ^ 2} =\\\frac {x \sqrt [5] {810x ^ 3}} {3x ^ 2}](https://tex.z-dn.net/?f=%5Cfrac%20%7B%5Csqrt%20%5B5%5D%20%7B10%7D%20%2A%20x%20%5Csqrt%20%5B5%5D%20%7B81x%20%5E%203%7D%7D%20%7B3x%20%5E%202%7D%20%3D%5C%5C%5Cfrac%20%7Bx%20%5Csqrt%20%5B5%5D%20%7B810x%20%5E%203%7D%7D%20%7B3x%20%5E%202%7D)
Answer:
![\frac {x \sqrt [5] {810x ^ 3}} {3x ^ 2}](https://tex.z-dn.net/?f=%5Cfrac%20%7Bx%20%5Csqrt%20%5B5%5D%20%7B810x%20%5E%203%7D%7D%20%7B3x%20%5E%202%7D)
![\frac {\sqrt [5] {810x ^ 3}} {3x}](https://tex.z-dn.net/?f=%5Cfrac%20%7B%5Csqrt%20%5B5%5D%20%7B810x%20%5E%203%7D%7D%20%7B3x%7D)
Answer:
a)
hearing one song = 2%
90/2 = 45
hearing song 45 times = 90%
Answer:
See the solutions below
Step-by-step explanation:
Given data
Distance = 24.6km
in meters= 24.6*1000= 24600m
time= 30 minutes
in seconds= 30*60= 1800
int hours= 0.5 hour
speed of the particle in
(i) km/h= 24.6/0.5= 49.2 km/h
(ii) m/s.= 24600/ 1800= 13.66 m/s
9514 1404 393
Answer:
$4.47 per pound
Step-by-step explanation:
Your cost is ...
$1.49/(1/3 lb) = $1.49×(3/1)/lb = $4.47/lb