Please help with all question, many thanks in advance!!

Question 1 2 pts Use the ceiling and floor functions, which of the following is correct mathematical expression for the following problem. Problem: There are x children in the first grade at Lee Elementary school. Each child will be given five crayons to do an art project. Crayons come in boxes of 24. How many boxes need to be purchased for the art project? O [6a/24] boxes O L24/5z boxes O [5a/24] boxes. [24/5a] boxes Question 2 2 pts Given the following sequence, what is the 10h term of the sequence? Assume that the sequences start with an index of 1 Sequence: The nth term is 3 Question 3 2 pts Give the 6th term of the following sequence. You can assume that the sequences start with an index of 1 Sequence: A geometric sequence in which the first value is 2 and the common ratio is 3. Question 4 2 pts Consider three functions f, g, and h, whose domain and target are Z Let Evaluate g ohof (4). Question 5 2 pts Given the following sequence, what is the 10h term of the seence? Assume that the sequences start with an index of 1. Log is to base 2 Sequence: The nth term is 1 Question 6 2 pts Evaluate the following summation. 3 Question 7 2 pts Use the definition of the function f below to compute f2). f(z) z+ Question 8 2 pts f(a)- Select the correct value forf g(-3/2) -1 Question 9 2 pts Select the function that does not have a well-defined inverse OERR fo) " 3x + 4 Question 10 2 pts Select the correct description of the function f O Neither one to-one nor onto O One-to-one and onto O One-to-one but not onto O Onto but not one-to-one Question 11 2 pts A population of mice increases by 10% every year. Define gn to be the number of mice after n years. Select the recurrence relation that describes the sequence (1.01).gn-1 Question 12 2 pts Select the value of the sum O 14 19 Question 13 2 pts #x) is obtained from x by replacing the last bit with 1. For example, Onto but not one-to-one One-to-one but not onto O One-to-one and onto O Neither one-to-one nor onto 000-1001. Select the correct description of the function f. Question 14 2 pts Two functions, f and g, map real numbers to integers. The functions fand g are defined as: Select the value for x such that f(x)g(x) 275 O 2.5 0 2 Question 15 2 pts f: Z Z. f(x)-x + 3. Select the correct description of the function f. O Onto but not one-to-one O One-to-one but not onto O One-to-one and onto O Neither one-to-one nor onto