Four cats and five mice enter a race. In how many ways can they finish with a mouse placing first, second, and third

Express in the simplest form: (x^2+9x+14/x^2-49) / (3x+6/x^2+x-56)

Examine the paragraph proof. which theorem does it offer proof for? prove jnm – nmi according to the given information in the image. jk | hi while jnm and lnk are vertical angles. jnm and lnk are congruent by the vertical angles theorem. because lnk and nmi are corresponding angles, they are congruent according to the corresponding angles theorem. finally, jnm is congruent to nmi by the transitive property of equality alternate interior angles theorem gorresponding angle theorem vertical angle theorem o same side interior angles theorem

You work in a hospital that has 9 floors. you need to see 3 patients on each floor. how many patients do you need to see in all?