A liquid starts at a temperature of 65 degrees and its temperature increases by a rate of 5 degrees per minute. How many minutes will it take for the temperature of the liquid to reach 128 degrees?

The mean of a set of data is -3.82 and its standard deviation is 2.31. find the z score for a value of 3.99.

In the diagram below? p is circumscribed about quadrilateral abcd. what is the value of x

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.