DezouuLidn
Answered

Makakuha ng maliwanag na mga sagot sa iyong mga tanong sa IDNStudy.com. Alamin ang mga maaasahang sagot sa iyong mga tanong mula sa aming malawak na kaalaman sa mga eksperto.

t varies directly as m and inversely as the square of n. If t=32 when m=16 and n=4, find t when m=24 and n=6​

Sagot :

RobbieRavenclawidn

Answer:

The value of t when m = 24 and n = 6 is 128.

Step-by-step explanation:

Mathematical Sentence:

[tex]t=\frac{mk}{n^2}[/tex]

Solution for the constant of variation or k:

Given:   [tex]t=32[/tex],   [tex]m=16[/tex],   [tex]n=4[/tex]

Find:   [tex]k=?[/tex]

Formula:   [tex]t=\frac{mk}{n^2}[/tex]

Solution:

[tex]t=\frac{mk}{n^2}\\32=\frac{16k}{(4)^2}\\32=\frac{16k}{16}\\32=k[/tex]

Solution for t:

Given:   [tex]k=32[/tex],   [tex]m=24[/tex],   [tex]n=6[/tex]

Find:   [tex]t=?[/tex]

Formula:   [tex]t=\frac{mk}{n^2}[/tex]

Solution:

[tex]t=\frac{mk}{n^2}\\t=\frac{24(32)}{6}\\t=4(32)\\\boxed{t=128}[/tex]

#CarryOnLearning