The student council has spent much time planning the Dance of the Year. In planning for the event, it is found that the cost to have the dance would be: $1,000 for the band
$200 for the room rental
$2 per person for refreshments
$0.50 per person for advertising
The student council expects that 200 to 400 students will attend the dance. Determine the costs of sponsoring the dance of 200 students attend, and then if 400 attend.
Cost for 200 students:
Cost for 400 students: ​

Use the formulas a = x 2 – y 2, b = 2xy, c = x 2 + y 2 to answer this question. one leg of a right triangle has length 11 and all sides are whole numbers. find the lengths of the other two sides. the other leg = a0 and the hypotenuse = a1

Afactory makes propeller drive shafts for ships. a quality assurance engineer at the factory needs to estimate the true mean length of the shafts. she randomly selects four drive shafts made at the factory, measures their lengths, and finds their sample mean to be 1000 mm. the lengths are known to follow a normal distribution whose standard deviation is 2 mm. calculate a 95% confidence interval for the true mean length of the shafts. input your answers for the margin of error, lower bound, and upper bound.

Graph the line that represents a proportional relationship between d and t with the property that an increase of 33 units in t corresponds to an increase of 44 units in d. what is the unit rate of change of dd with respect to t? (that is, a change of 11 unit in t will correspond to a change of how many units in d? )