A uniform ladder of weight w leans without slipping against a wall making an angle theta with the floor, as shown. There is friction between the ladder and the floor, but the friction between the ladder and the wall is negligible. The magnitude of the normal force exerted by the floor on the ladder is.

The car wash owner uses the equation y=x+44 to model the data, where x represents the number of days the business has been open and y represents the number of cars washed.

Which statements are true for invasive species? 1. they always stabilize an ecosystem. 2. they’re always successful in adjusting to a new habitat. 3. they often compete with the native species for resources. 4. they have the ability to displace the native species. 5. they’re always pests.

Which scenario describes intraspecific, indirect competition? a. a peacock defends its territory against another peacock. b. lions and hyenas compete for the same prey animals. c. a male black bear eats fish in an area of a lake, so other black bears can’t. d. different species of birds fight over spilled popcorn on the ground.