A map X -- IR from a space X is said to be locally constant if for each x E X there is some open set U with x E U and flU constant. Prove that if X is connected then every locally constant map f : X -- IR is constant. [s this still true if IR is replaced by an arbitrary topological space

Mon wants to make 5 lbs of the sugar syrup. how much water and how much sugar does he need… …to make 5% syrup?

Need to finish my juan wants to build a greenhouse in his back yard. he needs to maximize the ratio of floor area to structure volume in order to provide the most room for plants while minimizing the area to be heated. find the description of the structure that best meets juan’s criteria. a.) a hemisphere with a diameter of 12 feet b.) a cube with a side length of 12 feet c.) a cone with a diameter of 12 feet and a height of 10 feet d.) a square pyramid with a base side length of 12 feet and a height of 9 feet

Lucy is a dress maker. she sews \dfrac47 7 4 ? of a dress in \dfrac34 4 3 ? hour. lucy sews at a constant rate. at this rate, how many dresses does lucy sew in one hour? include fractions of dresses if applicable.