Janice was given a piggy bank on her seventh birthday, and she put it to use immediately. each time she puts one or more coins into the piggy bank, she keeps track of the number of coins she has collected to date and the accumulated value of her collection. janice collects only nickels, dimes, and quarters. six months after her seventh birthday, janice looked at her record and ascertained that she had collected 960 coins, which were worth $72.
how many combinations of coins are possible in janice's collection?

Evaluate the expression. (9 + 5)(3 + 2)0

Exercise: counting committees 0.0/2.0 puntos (calificable) we start with a pool of n people. a chaired committee consists of k≥1 members, out of whom one member is designated as the chairperson. the expression k(nk) can be interpreted as the number of possible chaired committees with k members. this is because we have (nk) choices for the k members, and once the members are chosen, there are then k choices for the chairperson. thus, c=∑k=1nk(nk) is the total number of possible chaired committees of any size. find the value of c (as a function of n ) by thinking about a different way of forming a chaired committee: first choose the chairperson, then choose the other members of the committee. the answer is of the form c=(α+nβ)2γn+δ. what are the values of α , β , γ , and δ ?

Calculate the scale factor of the dilation around the center of dilation c the preimage is blue and the image is red