Stella is making a juice-mix that uses apple juice and pomegranate juice in a 5:8 ratio. Which all of the following options describe how Stella should buy apple juice and pomegranate juice? Select all that apply.
A For every 8 liters of pomegranate juice Stella buys, she buys 5 liters of apple juice.
B The difference between the amount of pomegranate juice and apple juice Stella buys must be 3 liters.
For every 5 cups of apple Juice Stella buys, she buys 8 liters of pomegranate Juice.
D Stella must buy exactly 5 bottles of apple juice and 8 bottles of pomegranate juice.
E For every 13 liters of Juice Stella buys, 8 of them are pomegranate juice.

Which is the graph of this function 3 square root of x plus one if

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.

On the way home from visiting his family, vincent’s plane cruised at an altitude of 3.2 × 10^4 feet. he had heard that a man named felix baumgartner skydived from an altitude of 1.28 × 10^5 feet. vincent wants to know how much higher felix went on his skydiving trip. question 1 you have already seen how adding numbers works in either scientific notation or standard notation. but can you subtract numbers in scientific notation and get the same results as subtracting in standard notation? to find out, first solve vincent’s problem in standard notation. part a write the cruising altitude of vincent’s plane in standard notation.