In 1960, the world record for the men's mile was 3.91 minutes. In 1980, the record time was 3.81 minutes. a. Write a linear model that represents the world record (in minutes) for the men's mile as a function of the number of years, $t$ , since 1960.

$y=$

b. Use the model to estimate the record time in 2000 and predict the record time in 2020.

2000:
minutes

2020:
minutes

In the given figure ar(adf) =ar(cda) and ar(cdf) = ar(cdf). show that abdc and cdfe are trapeziums.

Two language majors, anna and megan, took exams in two languages. anna scored 85 on both exams. megan scored 74 on the first exam and 85 on the second exam. overall, student scores on the first exam had a mean of 82 and a standard deviation of 4, and the second exam scores had a mean of 71 and a standard deviation of 13. a) to qualify for language honors, a major must maintain at least an 85 average across all language courses taken. so far, which of anna and megan qualify? b) which student's overall performance was better?

Three baby penguins and their father were sitting on an iceberg 0.50.50, point, 5 meters above the surface of the water. the father dove down 4.74.74, point, 7 meters from the iceberg into the water to catch dinner for his kids. what is the father penguin's position relative to the surface of the water?