Astudent uses the ratio of 4 oranges to 6 fluid ounces to find the number of oranges needed to make 24 fluid ounces of juice. the student writes this proportion: equation explain the error in the student’s work.

Raj encoded a secret phrase using matrix multiplication. using a = 1, b = 2, c = 3, and so on, he multiplied the clear text code for each letter by the matrix to get a matrix that represents the encoded text. the matrix representing the encoded text is . what is the secret phrase? determine the location of spaces after you decode the text. yummy is the corn the tomato is red the corn is yummy red is the tomato

Can someone me with #s 8, 9, and 11. with just one of the three also works. prove using only trig identities.

The gdp is $1,465.2 billion. the population is 249,793,675. find the per capita gdp.