A small box of popcorn measures 6 inches by 2 inches by 12 inches and contains 360 pieces of popcorn. Maintaining the same density, how many pieces of popcorn would you expect to find in a bowl, shaped like a hemisphere, which has a diameter of 12 inches? Use 3.14 for π and round your final answer to the nearest whole piece. pieces of popcorn

Mr. walker gave his class the function f(x) = (x + 3)(x + 5). four students made a claim about the function. each student’s claim is below. jeremiah: the y-intercept is at (15, 0). lindsay: the x-intercepts are at (–3, 0) and (5, 0). stephen: the vertex is at (–4, –1). alexis: the midpoint between the x-intercepts is at (4, 0). which student’s claim about the function is correct?

Polygon abcde is reflected to produce polygon a′b′c′d′e′. what is the equation for the line of reflection?

Maren is buying carpet for her rectangular living room. the room is 4.8 yards wide and 5.2 yards long. how much carpet does she need to buy? enter your answer as a decimal in the box. yd2