1. An elevator in a tall building starts at a floor of the building that is 80 meters above the ground. The elevator descends 2 meters every 0.5 seconds for 4 seconds. Identify the domain and range using the following formats and then graph.
Inequality:
Set Notation:

1/2+1/6-3/4 simplify the given expression leaving the answer in improper fraction form.

According to a research study, parents with young children slept 6.4 hours each night last year, on average. a random sample of 18 parents with young children was surveyed and the mean amount of time per night each parent slept was 6.8. this data has a sample standard deviation of 0.9. (assume that the scores are normally distributed.) researchers conduct a one-mean hypothesis at the 5% significance level, to test if the mean amount of time parents with young children sleep per night is greater than the mean amount of time last year. the null and alternative hypotheses are h0: μ=6.4 and ha: μ> 6.4, which is a right-tailed test. the test statistic is determined to be t0=1.89 using the partial t-table below, determine the critical value(s). if there is only one critical value, leave the second answer box blank.

The graph of a quadratic function has a maximum at point (0, 5). the graph contains the point (2, 1). what is another point on the graph?