Compute the following without a calculator or "guessing and checking." Show all work. (a) What is 7376 mod 23? Hint: Don’t explicitly compute 7 376 . (b) For this part, let n = 91 be the RSA modulus and e = 7 the RSA public key. i. What is the private key d? ii. Sign the message m = 4. iii. Verify that your signature from the previous part is correct.

Each of the walls of a room with square dimensions has been built with two pieces of sheetrock, a smaller one and a larger one. the length of all the smaller ones is the same and is stored in the variable small. similarly, the length of all the larger ones is the same and is stored in the variable large. write a single expression whose value is the total area of this room. do not use any method invocations.

The table shows values for functions f(x) and g(x) . x f(x)=3x g(x)=2x+1 −2 19 −3 −1 13 −1 0 1 1 1 3 3 2 9 5 what is the solution to f(x)=g(x) ? select each correct answer.

If private savings 'v' = 0.75s and total savings 's' equals $4.20 billion, solve for public and private savings.