Your camera determines the focal distance required for your picture to be in focus using the lens equation, 1/F - 1/S = 1/D, where the focal distance to the object from the lens (D) is related to the focal length (F) and the distance from the lens to the film (S). If an object is placed 8 cm from a lens with a focal length of 4 cm, how far from the lens is the image (film) formed?

Look at arnold's attempt to solve the equation for b: 3b = 12 b = 3 · 12 b = 36 describe the mistake that arnold made.

Carla was trying to decide what to do saturday evening. she has $100 available to spend for the evening. she has narrowed her choices down to these events: braves game, a concert of an artist she likes, or the georgia aquarium. admission to the braves game is $25, hot dogs cost $10, sodas cost $5. the concert costs $25 for admission, $20 for a souvernir t-shirt, and $10 for a soda. the georgia aquarium has the show of a lifetime with an all you can eat and drink that costs $100. carla does not want to take any driving chances, so in addition to the cost of the aquarium, she will also need to pay for her uber/lyft, which is $15 each way. which option should carla choose if she wants to spend the least? based on that choice, what then is carla's oppotunity cost? fully explain your answer in at least one paragraph.

What is the name of a polygon that has four congruent sides and theses angle measures 60,120,60,120?