80.6k views
1 vote
W is directly proportional to t² and inversely proportional to z³. When t=8 and z=11, find w.

A) 4
B) 7
C) 10
D) 14

User Adron
by
7.7k points

1 Answer

5 votes

Final answer:

The value of w is 14

Therefore, correct answer is D) 14

Step-by-step explanation:

The direct and inverse proportionality relationship is expressed as
\( W \propto (t^2)/(z^3) \). To find the constant of proportionality, substitute the given values for t and z when W = k , where k is the constant. Solving for k , we get
\( k = W * z^3/t^2 \). Now, plug in t = 8 and z = 11 to find k . Finally, substitute k , t = 8 , and z = 11 into the original equation to find W.

Understanding direct and inverse proportionality is fundamental in various mathematical applications. These relationships often model real-world scenarios, and the ability to manipulate these proportions is crucial in solving problems in physics, engineering, and other scientific fields.

Therefore, correct answer is D) 14

User Ponomandr
by
8.0k points

Related questions

asked Apr 7, 2024 141k views
Motti Strom asked Apr 7, 2024
by Motti Strom
7.6k points
1 answer
0 votes
141k views
asked May 1, 2024 232k views
Oliver Watkins asked May 1, 2024
by Oliver Watkins
8.3k points
1 answer
0 votes
232k views
1 answer
0 votes
235k views