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.

Which of the following best describes the difference between “autobiography” and “memoir”? a. autobiography is written about the author's own interpretation of events; memoir is a written interpretation of events. b. memoir covers a particular time in the writer’s life or recounts life events around one or two themes; autobiography covers the entire story of the author's life and has multiple themes. c. autobiography covers the entire story of the writer's life and has multiple themes; memoir is a shorter written work with one theme. d. autobiography covers entire story of the writer's life and has multiple themes; memoir is the writer’s random memories about past experiences.

Panthers and leopards prey on deer in an ecosystem. for unknown reasons, the population of leopards increased drastically. what are the likely effects of this change on the species? 1. more food for panthers and more competition for leopards 2. less food and more competition for panthers 3. fewer deer and more competition for panthers 4. more food for deer and less competition for panthers and leopards 5. more food for leopards and less competition for panthers

An ecosystem is shown in the illustration. assume that human activities have led to a decrease in the number of eagles. a virus attack on rabbits has led to a decrease in their population in the ecosystem. which two sentences describe likely effects on the ecosystem? 1. there’s an increase in the number of snakes and insects and a decrease in the number of frogs. 2. there’s an increase in the number of snakes and insects, and the storks face increased competition for food. 3. there’s an increase in the number of storks and a decrease in the number of snakes and insects. 4. there’s an increase in the number of frogs and a decrease in the number of storks and insects. 5. there’s a decrease in the number of snakes, insects, and frogs.