Ask Question
22 February, 22:34

6. Z varies inversely as d^3. If z = 3 when d = 2, find z when d is 4

+2
Answers (1)
  1. 22 February, 22:47
    0
    Z = 0.375

    Step-by-step explanation:

    Z varies inversely as d ^ 3

    so Z ∝ 1 / d ^ 3

    To convert proportionality to equality,

    Z ∝ 1 / d ^ 3,

    Z = k / d ^ 3,

    K is proportionality constant,

    First we find k by putting values Z = 3 and d = 2,

    Z = k / d ^ 3,

    => k = Z d ^ 3,

    => k = 3 (2) ^ 3,

    => k = 3 x 8,

    So value of k is 24

    Now find Z by putting values

    k = 24 and d = 4

    Z = k / d ^ 3,

    Z = 24 / (4) ^ 3

    Z = 24 / 64

    Z = 0.375
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “6. Z varies inversely as d^3. If z = 3 when d = 2, find z when d is 4 ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers