For a game at the carnival you get to roll a ten-sided die, numbered from 1 to 10. If
you roll at least a 3, you win $10. Unfortunately, if you roll anything else, you
lose $15. How much money do you expect to make (or lose) per game?

Given that ot =5, xt=12, and ox= 13 is xy tangent to circle o at t? explain.

This is my question~~ ( r ^ 4 - 2r ^ 3 - 23 r ^ 2 - 4r - 32)÷(r+4) ~~ i must use long division to solve it : / i was wondering if anyone world like to solve it. and if so, share step-by-step explanations! you! ❤

Find the directions in which the function increases and decreases most rapidly at upper p 0p0. then find the derivatives of the function in these directions. f(x,y)equals=x squared plus xy plus y squaredx2+xy+y2, upper p 0p0left parenthesis 1 comma negative 4 right parenthesis