Determine the truth value of each statement in each item. The domain of discourse is the set of real numbers. Justify your answers. 1.For some x, for some y, x2 < y + 1
2.For every x, for every y, x2 + y2 = 9
3.For some x, for some y, x2 + y2 = 9
4.For some x, for every y, x2 + y2 = ≥0
5.For every x, for some y, if x < y, then x2 < y2

The number of hours per week that the television is turned on is determined for each family in a sample. the mean of the data is 37 hours and the median is 33.2 hours. twenty-four of the families in the sample turned on the television for 22 hours or less for the week. the 13th percentile of the data is 22 hours. approximately how many families are in the sample? round your answer to the nearest integer.

For f(x)=2x+3 and g(x)=x^2- 8 find (f+g) (x)

Asquare has a side that measures 11 units. what is the area of a circle with a circumference that equals the perimeter of the square? use 3.14 for π, and round your answer to the nearest hundredth. 1519.76 units2 379.94 units2 616.56 units2 154.14 units2