Solve the problem.A projectile is fired from a height of 6.6 feet with an initial velocity of 113 ft/sec at an angle of 42° with the horizontal. The parametric equations for the path of the projectile are x = (113 cos 42°)t, and y = 6.6 + (113 sin 42°)t - 16t2,where x and y are in feet and t is in seconds. How long does it take the projectile to hit the ground? Round your answer to the nearest tenth of a second.
A. 6.2 sec
B. 4.7 sec
C. 9.6 sec
D. 4.8 sec
Answer: D
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Solve the problem.A law firm has two senior partners (A and B) and three associate partners (C, D, and E). In order for any decision to be made concerning the practice, both senior partners and at least two associate partners must agree. Compute the Banzhaf power index for each voter. If another associate partner, F, is added, compute the new Banzhaf power index for each voter assuming that two senior partners and two associates must agree.
A. Prior: A and B have index of 
; C, D, and E have index of 
.
New: A and B have index of 
; C, D, E, and F have index of 
.
B. Prior: A and B have index of 
; C has index of 
; D and E have index of 
.
New: A and B have index of 
; C, D, E, and F have index of 
.
C. Prior: A and B have index of 
; C, D, and E have index of 
.
New: A, B, and C have index of 
; D, E, and F have index of 
.
D. Prior: A and B have index of 
; C has index of 
; D and E have index of 
.
New: A, B, and C have index of 
; D, E, and F have index of 
.
Fill in the blank with <, >, or = to form a true comparioson statement.
0.4
A. > B. < C. =
Find the area.
A. 465 yd2 B. 645 yd2 C. 525 yd2 D. 510 yd2
Two dentists, Lydia Russell and Jerry Carlton, are planning to establish practices in a newly developed community. Both have allocated approximately the same total budget for advertising in the local newspaper and for the distribution of fliers announcing their practices. Because of the location of their offices, Russell is expected to get 46% of the business if both dentists advertise only in the local newspaper; if both dentists advertise through fliers, then Russell is expected to get 43% of the business; if Russell advertises exclusively in the local newspaper and Carlton advertises exclusively through fliers, then Russell is expected to get 68% of the business. Finally, if Russell advertises through fliers exclusively and Carlton advertises exclusively in the local newspaper, then
Russell is expected to get 50% of the business. Find the optimal strategy for both Russell and Carlton.
