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Answer:
z = 6
Step-by-step explanation:
[tex]z = \frac{ {kx}^{2} }{y} [/tex]
[tex]2 = \frac{ \frac{{1}}{2}^{2}k }{ \frac{1}{3} } [/tex]
2(⅓) = ½²k
⅔ = ½² k
⅔ = ¼k
To divide by a fraction, multiply by the reciprocal of that fraction.
[tex] \frac{2 \times 4}{3} = k[/tex]
[tex] \frac{8}{3} = k[/tex]
[tex]z = \frac{ \frac{8}{3}( {3}^{3} ) }{4} [/tex]
[tex]z = \frac{ \frac{8}{3}(9) }{4} [/tex]
[tex]z = \frac{ \frac{72}{3} }{4} [/tex]
[tex] z = \frac{24}{3} [/tex]
z = 6
I hope it's help
Brainliest me