A semicircle with diameter PQ sits on an isosceles triangle PQR to form a region shaped like a two-dimensional ice- cream cone, as shown in the figure. If a(x) is the area of the semicircle and b(x) is the area of the triangle, find lim a(x)/b(x) as x→0

Select all the correct statements. the amount in dollars an electrician charges in terms of the number of hours worked is represented by the function y = 22x + 42. from the function, identify all the phrases that hold true for the situation. the electrician charges an initial fee of $22 the y-variable represents the number of hours the electrician charges an initial fee of $42 the electrician charges $22 for every hour worked the x-variable represents the electricians charges in dollars the electrician charges $42 for every hour worked

Determine whether the set of whole numbers is closed under addition. explain why the set is or is not closed. give an example.

Crickets can jump with a vertical velocity of up to 14 ft/s. which equation models the height of such a jump, in feet, after t seconds? h(t) = –16t2 + v0t + h0 h(t) = –16t2 + v0t + 14 h(t) = –16t2 + 14t h(t) = –16t2 + 14t + 14 what is the maximum height the cricket reaches? round to the nearest thousandth. h = feet