Can you help me with these problems?

1. [-11 Points] DETAILS SPRECALC7 1.12.008.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Write an equation that expresses the statement. (Use k as the constant of proportionality.) P is directly proportional to v. Need Help? _'_' 2. [-12 Points] DETAILS SPRECALC7 1.12.021.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Express the statement as an equation. (Use k as the constant of proportionality.) A varies inversely as r. Jse the given information to find the constant of proportionality. If r: 7, then A: 11. 3. [-l1 Points] DETAILS SPRECALC7 1.12.011. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Write an equation that expresses the statement. (Use k as the constant of proportionality.) y is proportional to s and inversely proportional to r. Need Help? _ "_ 4. [l1 Points] DETAILS SPRECALC7 1.12.004. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Ifz is directly proportional to the product of X and y and ifz is 10 when x is 4 and y is 5, then x, y, and z are related by the equation 2 = 5. [l1 Points] DETAILS SPRECALC7 1.12.017. MY NOTES ASK YOURTEACHER PRACTICE ANOTHER Write an equation that expresses the statement. (Use k as the constant of proportionality.) Q is proportional to the product of the squares of M and u and inversely proportional to the cube of a. Need Help? 6. [-14 Points] DETAILS SPRECALC7 1.12.047.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The resistance R of a wire varies directly as its length L and inversely as the square of its diameter d. (a) Write an equation that expresses this joint variation. (Use k for the constant of proportionality.) (b) Find the constant of proportionality if a wire 1.4 m long and 0.005 m in diameter has a resistance of 100 ohms. (Round your answer to six decimal places.) k = :l (c) Find the resistance of a wire made of the same material that is 5 rn long and has a diameter of 0.006 m. (Round your answer to the nearest whole number.) hm (d) If the diameter is doubled and the length is tripled, by what factor is the resistance changed? :1