Use the fact that the length of an arc intercepted by an angle is proportional to the radius to find the arc length given the circle area a = 25π cm2 and θ = π4.

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Rewrite the following quadratic functions in intercept or factored form. show your work. f(x) = 3x^2 - 12

Astudy was interested in determining if eating milk chocolate lowered someone's cholesterol levels.ten people's cholesterol was measured. then, each of these individuals were told to eat 100g of milk chocolate every day and to eat as they normally did. after two weeks, their cholesterol levels were measured again. is there evidence to support that their cholesterol levels went down? how should we write the alternative hypothesis? (mud = the population mean difference= before - after)a. ha: mud = 0b. ha: mud > 0c. ha: mud < 0d. ha: mud does not equal 0