Determine which of the following functions represents the inverse function of y=2ex+1 Group of answer choices

y−1=log(x2)+1

y−1=ln(x2)−1

y−1=ln(2x)+1

y−1=ln(x−12)

Write the equation in logarithmic form e^x=403.429

Which of the following are independent events? a) knowing that it is going to rain tomorrow, and bringing an umbrella to schoolb) knowing that you have to get up early tomorrow, and going to bed before 9 p.mc) knowing that it is going to rain tomorrow, and going to bed before 9 p.md) knowing that you have a test in school tomorrow, and studying thw night before

Algebraically prove that a clockwise and counterclockwise rotation of 180° about the origin for triangle abc are equivalent rotations.