Afunction g is defined by g: x→3−2sinx, for 0◦ ≤x≤a◦,where a is a constant.
(i) state the largest value of a for which g has an inverse.
(ii)when a has this value, obtain an expression, in terms of x, for g−1(x).

An eight-sided die, which may or may not be a fair die, has four colors on it; you have been tossing the die for an hour and have recorded the color rolled for each toss. what is the probability you will roll a brown on your next toss of the die? express your answer as a simplified fraction or a decimal rounded to four decimal places.

Pete is making decorations for a dinner party. the instructions tell him to use 9 flowers for a medium-sized decoration. complete each statement to adjust the flowers for different-sized decorations based on these instructions.

Find two numbers if their sum is 91 and the ratio is 6: 7?