A 18-foot flagpole cast a 21-foot shadow how tall is the building whose shadow is 168 feet?

When you arrive at the lake, your friend realises he hasn’t got any swimming trunks. you need to ride to a sports shop. the sports shop is 8350 metres away. how many metres is it to cycle there and back?

Two researchers are attempting to create a new psychotherapy protocol that more reduces panic attacks. they believe that they have succeeded and are now in the clinical trial period of their protocol's development. they are working with several cohort groups, some of which have been through the new protocol, while others have done the standard protocol currently recommended. if these researchers are interested in evaluating the difference in the percentage of test subjects who successfully decreased their panic attacks in 2 months on the new protocol versus the percentage of test subjects who successfully decreased their panic attacks in 2 months with the traditional protocol, which of the following statistical tests would be most appropriate? a. analysis of variance (anova) b. correlation c. chi-square test d. paired t-test e. independent t-test

1.what effect does replacing x with x−4 have on the graph for the function f(x) ? f(x)=|x−6|+2 the graph is shifted 4 units up. the graph is shifted 4 units down. the graph is shifted 4 units left. the graph is shifted 4 units right. 2.what are the coordinates of the hole in the graph of the function f(x) ? f(x)=x^2+3x−28/x+7 3.which graph represents the function?