The number of gallons of water in a pool can be modeled by the function: G(t) = -200t + 1400 where G(t) represents the height of the water in the pool at time t. Identify an appropriate domain for this function.

Write the sine and cosine values of a, b, respectively, in the figure for (1) and (2) + explanation.

F(x)=5/6x+3 which of the following is true

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.