Cho ánh xạ tuyến tính 3 3 f : ℝ ℝ → và hai cơ sở của 3 ℝ : B b b n b = = = − = { 1 2 3 (1,3,3), ( ,6,5), (1,2,2)} , C c = − {c n c 1 2 3 = = = ( ), ( ), ( ) 2, 3,3 5, 1, 5 − + − − 1,0,1 } . Biết: 1 f b( ) ( 5,6,4) = − , 2 f b( ) ( 8,5,2) = − , 3 f b( ) ( 9, 2, 5) = − − − . a. Tìm ma trận 3 [ ] A f E = , từ đó suy ra biểu thức của 1 2 3 f x x x ( , , ). 2/2 b. Tìm ma trận [ ]B f . c. Từ [ ]B f , hãy tính ma trận [ ]C B f . d. Cho vector ( 2,3, ) x n = − , hãy tính [ ]B x và suy ra [ ( )]C f x .

The letter tiles shown below are in a bag. whiteout looking i am going to draw one tile. what are my chances of drawing g?

Marco is studying a type of mold that grows at a fast rate. he created the function f(x) = 345(1.30)x to model the number of mold spores per week. what does the 1.30 represent? how many mold spores are there after 4 weeks? round your answer to the nearest whole number. 1.30 represents the number of mold spores marco had at the beginning of the study; 985 mold spores 1.30 represents the number of mold spores grown in a given week; 448 mold spores 1.30 represents the 30% rate of weekly growth; 345 mold spores 1.30 represents the 30% rate of weekly growth; 985 mold spores

Aswimming pool is a rectangle with semicircles on the end. the rectangle is 12 meters wide and 30 meters long. the diameter and width of the swimming pool are equal. sketch and label an overhead diagram of the swimming pool. find the area of the swimming pool floor.