Acarpenter’s sketch of a room does not include a scale. she measures a wall that has been built and finds that it is 51.2 feet long. on the blueprint, this wall is 8 inches long. what is the scale for this blueprint?

a.
1 in. : 6.4 ft.

b.
1 in. : 64 ft.

c.
1 in. : 408 ft.

d.
1 in. : 409.6 ft.

Given that y varies directly to the square root of (x + 1), and that y = 1 when x = 8,(a)express y in terms of .x,(b)find the value of y when x = 3,(c)find the value of x when y = 5.

1/2+1/6-3/4 simplify the given expression leaving the answer in improper fraction form.

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 ?