1) if the castles air conditioner cools the castle when the outside temperature is above 25(degree)c, which inequality or equation correctly represents this situation? *using f(x)=24 - 5cos(pi/12t) a. 24 - 5cos(pi/12t) = 0 b. -5cos(pi/12t) - 1 = 0 c. 24 - 5cos(pi/12t) > 0 d. -5cos(pi/12t) - 1 > 0 e. -5cos(pi/12)t - 1 < 0 2) using the answer to question 1, what are the approximate values of the zeros in the given interval [0,24], this is multiple choice. a. x =~ 4.0 b. x =~ -4.0 c. x =~ 6.8 d. x =~ -6.8 e. x =~ 17.2 f. x =~ -17.2 and much appreciated x

Fast! find the length of cu. the triangles are similar. show your work.

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.

What is the value of x in the equation 3x4y65, when y=4?