Determine the kernel of the linear application f : R^3 -> R^2, defined by f(x, y,z) = (2x+z, x+y-z).

How many grams must be adde to 970g to make 1 and a half kg

The random variable x is the number of occurrences of an event over an interval of ten minutes. it can be assumed that the probability of an occurrence is the same in any two-time periods of an equal length. it is known that the mean number of occurrences in ten minutes is 5.3. the appropriate probability distribution for the random variable

The base of a triangle exceeds the height by 9 inches. if the area is 180 square inches, find the length of the base and the height of the triangle.