Considere uma matriz A quadrada de ordem n. Sejam também as seguintes matrizes: B1, que se obtém de A somando à linha i desta matriz uma constante k; B2, que se obtém de A subtraindo à linha i desta matriz a mesma constante k. Mostre que: | A | = 1/2 ( | B 1 | + | B 2 | )

What is the nth term rule of the linear sequence below? 27 , 25 , 23 , 21 , 19 , . .

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

Dexter read 11 science fiction books and 5 history books. lena read 9 science fiction books and 4 history books. compare the students’ ratios of science fiction books to history books. 1. determine the ratios’ form:    science fiction books to history books 2. write the ratios as fractions:    dexter: 115; lena: 94 3. rewrite with a common denominator. 4. compare. 5. answer the question. determine which shows the correct comparison of the ratios for this problem.