Statements with nested quantifiers: english to logic, part 3. about the domain of discourse is a group working on a project at a company. one of the members of the group is named sam. define the following predicates. • p(x, y): x knows y's phone number. (a person may or may not know their own phone number.) • d(x): x missed the deadline. • n(x): x is a new employee. give a logical expression for each of the following sentences. (a) someone knows everyone's phone number. solution v (b) everyone knows someone's phone number. solution v there is at least one new employee who missed the deadline. sam knows the phone number of everyone who missed the deadline.

Write the rational number in lowest terms 99/-15

Ahighway between points a and b has been closed for repairs. an alternative route between there two locations is to travel between a and c and then from c to b what is the value of y and what is the total distance from a to c to b?

Submarines control how much they float or sink in the ocean by changing the volume of air and water contained in large ballast tanks. when the tanks are completely full of water, the submarine increases its overall mass and sinks down to the bottom. when the tanks are completely full of air, the submarine reduces its overall mass and floats to the surface. depending on the density of the seawater surrounding the submarine, it will pump seawater in or out of the tanks in order to achieve the same overall density as the sea water and float neutrally in the water. the volume of the submarine never changes. when the tanks are completely full of water, a submarine with a volume of 7.8\times10^3\text{ m}^37.8×10 3 m 3 7, point, 8, times, 10, start superscript, 3, end superscript, space, m, start superscript, 3, end superscript has a total mass of 8\times10^6\text{ kg}8×10 6 kg8, times, 10, start superscript, 6, end superscript, space, k, g. the density of the seawater is 10^3\text{ kg/m}^310 3 kg/m 3 10, start superscript, 3, end superscript, space, k, g, slash, m, start superscript, 3, end superscript. to make that submarine float neutrally, and neither float nor sink in the ocean, what volume of water does that submarine need to subtract from its tanks?