Given two elements of the lamplighter group g = (n,(. . . , l−1, l0, l1, . . .)), h = (m,(. . . , k−1, k0, k1, . . .)), how can one determine if they are conjugates?

If 20% of a number is 35, what is 50% of that number?

Mexico city, mexico, is the world's second largest metropolis and is also one of its fastest-growing cities with a projected growth rate of 3.2% per year. its population in 1991 was 20,899,000 people. use the formula p = 20.899e0.032t to predict its population p in millions with t equal to the number of years after 1991. what is the predicted population to the nearest thousand of mexico city for the year 2010?

Atheater wants to build movable steps that they can use to go on and off the stage. they want the steps to have enough space inside so they can also be used to store props. how much space is inside the steps?