Trong mặt phẳng Oxy, phép quay mỗi vecto quanh gốc toạ độ một góc alpha ngược chiều kim đồng hồ là một ánh xạ tuyến tính . Hãy tìm ma trận biểu diễ và biểu thức của phép quay trên. Áp dụng: Cho tam giác MNP gồm các đỉnh M(1,1) , N(1,2), P(3,3) hãy tìm ảnh của tam giác MNP qua phép quay nói trên, biết góc quầy alpha=pi/4 và vẽ hình biểu diễn

Hannah paid $3.20 for 16 ounces of potato chips. hank paid $3.23 for 17 ounces of potato chips. who paid less per ounces?

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

Sections of prefabricated woods are each 5 1/3 feet long, how long are 7 1/2 sections placed end to end?