Sean is running a 100 m dash. When the starter’s pistol fires, he leaves the starting block and continues speeding up until 6 s into the race, when he reaches his top speed of 11 m/s. He holds this speed for 2 s; then his speed slows to 10 m/s by the time he crosses the finish line 11 s after he started the race. PREPARE A GRAPH OF THIS DTA
• Time (the constant, in seconds on the X axis)
• Velocity (the variable, in m/sec) on the Y axis)
USE THE DATA FROM THE GRAPH TO ANSWER THE FOLLOWING
a. What was Sean’s average acceleration during the first 6 s of the race?
b. What was Sean’s average acceleration from 6 to 8 s into the race?
c. What was Sean’s average velocity for the whole race?
d. What was Sean’s average acceleration from 8 to 11 s into the race?

Which value of m will create a system of parallel lines with no solution? y= mx - 6 8x - 4y = 12

What is the value of m in the equation 1/2 m - 3/4n=16 when n=8

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.