Let T(x)T(x) be the temperature in degrees Fahrenheit, at an altitude of xx kilometers (km) above sea level for a particular location. At an altitude of 3 kilometers, the temperature is decreasing at a rate of 2 degrees Fahrenheit per kilometer, but the rate of this temperature decrease is slowing. That is, for altitudes above 3 km, the rate of temperature decrease is less than 2 degrees per kilometer. Choose the mathematical statement that best matches this desc

The vertex of this parabola is at (-2, 5). which of the following could be it’s equation? a. y=3(x+2)^2-5 b. y=3(x-2)^2-5 c. y=3(x+2)^2+5 d. y=3(x-2)^2+5

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.

Cone a has a surface area of 384 ft2 and cone b has a surface area of 96 ft? . what is the ratio of their volume?