High School Math

High School Math What is the simplified form of the expression 3i√2 × √-12 ? - CORRECT ANSWER--6√6 What is the polar equation of the curve with the rectangular equation x+y-2=0 ? - CORRECT ANSWER-r=2/cosθ+sinθ Consider the vector u= 9i-12j. What is the unit vector that is orthogonal to u? - CORRECT ANSWER--⁴/₅i-³/₅j If A=[⁵₂ ⁻⁶₄], what is the inverse A⁻¹ of the matrix A? - CORRECT ANSWER-A⁻¹=¹/₃₂[⁴-₂ ⁶₅] In the expanded form of the expression (3x+y)⁴ what is the coefficient of the term with the product xy³? - CORRECT ANSWER-12 The system of equations 2x+ y+ 3z= -2 5x+ 2y = 5 2y+ 3z= -13 has a unique solution. What is the sum of the values of x, y, and z that make the solution of the system of equations? - CORRECT ANSWER--3 Suppose that z caries directly as the square of x and inversely as y. If z=8 when x=4 and y=6 what is z when x=6 and y=12? - CORRECT ANSWER-z=9 What is the solution set of the inequality (x+1/6)<x-(3x-2/4)? - CORRECT ANSWER-S={x|x>-4} Consider the graph of a periodic function ƒ(x). What are the amplitude and the period, respectively of the function ƒ? - CORRECT ANSWER-2 and π/2 The rate of growth of the population in a bacteria colony is proportional to the size of the population at a particular time. If the population doubles every five hours, how much time is required for the population to triple? - CORRECT ANSWER-7.925hours Assume that x y and z represent positive numbers. If log z= ¹/₃log x+ log y what is z in terms of x and y? - CORRECT ANSWER-y³√x Solve the equation, log(3x+7) + log(x-2) =1 - CORRECT ANSWER-x=⁸/₃ How many solutions of the equations sinθ=0 exist on the interval where 0≤θ≤4π? - CORRECT ANSWER-5 Consider point P with coordinates (2,-3). If point P is rotated 90° in a counter clockwise direction about the origin what are the coordinates of the image point P? - CORRECT ANSWER-(3,2) An airplane is flying in a