Let p and q be the propositions "swimming at the new jersey shore is allowed" and "sharks have been spotted near the shore," respectively. express each of these compound propositions as an english sentence.

a) ¬q
b) p ∧ q
c) ¬p ∨ q
d) p → ¬q
e) ¬q → p
f) ¬p → ¬q
g) p ↔ ¬q
h) ¬p ∧ (p ∨ ¬q)

If the altitude is drawn to the hypotenuse of a right triangle, then the two triangles formed are similar to the original triangle and to each other. which set of triangles shows the similar triangles created by the altitude in the diagram?

Igure 1 and figure 2 are two congruent parallelograms drawn on a coordinate grid as shown below: 4 quadrant coordinate grid showing two parallelograms. figure 1 has vertices at negative 5, 2 and negative 3, 4 and negative 4, 7 and negative 6, 5. figure 2 has vertices at 5, negative 2 and 7, negative 4 and 6, negative 7 and 4, negative 5. which two transformations can map figure 1 onto figure 2? reflection across the y-axis, followed by reflection across x-axis reflection across the x-axis, followed by reflection across y-axis reflection across the x-axis, followed by translation 10 units right reflection across the y-axis, followed by translation 5 units down

What is the gcf of 20c^3-5c^4+30c^6