In a binary search, which formula is used to find the index of the middle value? middle = (first + last) * 2

middle = (first + last) // 2

middle = first + last // 2

middle = first + last * 2

If joey was single and his taxable income was $9,500, how much would he pay in taxes each year?

The program below has been generalized to read a user's input value for hourlywage. run the program. notice the user's input value of 10 is used. modify that input value, and run again. generalize the program to get user input values for workhoursperweek and workweeksperyear (change those variables' initializations to 0). run the program. monthsperyear will never change, so define that variable as final. use the standard for naming final variables. ex: final int max_length

5.a fishing rod is formed from a composite material of 0.5 kg of glass fibers embedded in a matrix of 0.5 kg of epoxy resin. the glass fibers are assumed to be long, continuous and unidirectional. to achieve a greater stiffness it is proposed to use a different composite that is comprised of long continuous carbon fibers that will be embedded in a matrix of 0.5 kg of epoxy resin. if the modulus of elasticity of the carbon fiber composite is 10% greater than the elastic modulus of the glass fiber composite, estimate the mass of carbon fibers that will be used to make the carbon fiber composite. assume the applied tensile stress is parallel to the direction of the long axis of the fibers. the epoxy resin, glass fiber, and carbon fiber have an elastic modulus of 5, 86, and 350 gpa respectively and a density of 1100, 2500, and 1800 respectively.