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X varies inversely as Y and X varies directly as square of z. if Y decreases by 43.75% and z decreases by 75%, what percent does x change?
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X varies inversely as Y and X varies directly as square of z. if Y dec...
Given information:
- X varies inversely as Y
- X varies directly as the square of Z
Calculating the relationship between X, Y, and Z:
- When X varies inversely as Y, it means that X = k/Y, where k is a constant.
- When X varies directly as the square of Z, it means that X = mZ^2, where m is a constant.
Calculating the change in X:
- If Y decreases by 43.75%, it means Y' = 0.5625Y (100% - 43.75% = 56.25% or 0.5625)
- If Z decreases by 75%, it means Z' = 0.25Z (100% - 75% = 25% or 0.25)
Substitute the new values into the equations:
- X' = k/Y' = k/(0.5625Y) = 1.7778(k/Y)
- X' = mZ'^2 = m(0.25Z)^2 = 0.0625mZ^2
Calculating the percent change in X:
- The percent change in X is given by ((X' - X)/X) * 100%
- Substitute the new values of X and X' into the formula and simplify to find the percent change.
Conclusion:
- By following the above steps, you can calculate the percent change in X when Y decreases by 43.75% and Z decreases by 75%.
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X varies inversely as Y and X varies directly as square of z. if Y decreases by 43.75% and z decreases by 75%, what percent does x change?
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X varies inversely as Y and X varies directly as square of z. if Y decreases by 43.75% and z decreases by 75%, what percent does x change? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about X varies inversely as Y and X varies directly as square of z. if Y decreases by 43.75% and z decreases by 75%, what percent does x change? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for X varies inversely as Y and X varies directly as square of z. if Y decreases by 43.75% and z decreases by 75%, what percent does x change?.
X varies inversely as Y and X varies directly as square of z. if Y decreases by 43.75% and z decreases by 75%, what percent does x change? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about X varies inversely as Y and X varies directly as square of z. if Y decreases by 43.75% and z decreases by 75%, what percent does x change? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for X varies inversely as Y and X varies directly as square of z. if Y decreases by 43.75% and z decreases by 75%, what percent does x change?.
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