Please help: Graph the function f(x)=5(o.5)^{-x} and its reflection about the line y=x on the same axis, and give the x-intercept of the reflection. Prove that a^x=e^{x lna} . [Suggestion: type y=5(0.5^{-x}) {- 7 < x < 2} {0 < y < 7} in desmos, and then type its inverse function.]

Ana drinks chocolate milk out of glasses that each holdof a liter. she has of a liter of chocolate milk in her refrigerator. 10 how many glasses of chocolate milk can she pour?

Every weekday, mr. jones bikes from his home to his job. sometimes he rides along two roads, the long route that is shown by the solid lines. other times, he takes the shortcut shown by the dashed line. how many fewer kilometers does mr. jones bike when he takes the shortcut instead of the long route?

The serenity and the mystic are sail boats. the serenity and the mystic start at the same point and travel away from each other in opposite directions. the serenity travels at 16 mph and the mystic travels at 19 mph. how far apart will they be in 3 hours?