If a+b+ab = 3, b+c+bc = 8, c+a+ca=15, 12abc = ? then

An airline owns an aging fleet of Boeing 737 jet airplanes. It is considering a major purchase of up to 17 new Boeing model 787 and 767 jets. The decision must take into account numerous cost and capability factors, including the following: (1) the airline can finance up to $1.6 billion in purchases; (2) each Boeing 787 will cost $80 million, and each Boeing 767 will cost $110 million; (3) at least one-third of the planes purchased should be the longer-range 787; (4) the annual maintenance budget is to be no more than $8 million; (5) the annual maintenance cost per 787 is estimated to be $800,000, and it is $500,000 for each 767; and (6) each 787 can carry 125,000 passengers per year, whereas each 767 can fly 81,000 passengers annually. Formulate this as an integer programming problem to maximize the annual passenger-carrying capability. What category of integer programming problem is this? Solve this problem

Consider the quadratic function. f(x)=-(x+4)(x-1) (a) What are the x-intercepts and y-intercept? (b) What is the equation of the axis of symmetry? (c) What are the coordinates of the vertex? (d) Graph the function on the coordinate plane. Include the axis of symmetry.

Based on a poll of 1000 residents, a newspaper article claims that 62% of the residents in town favor the development of a recreational park on the west side of town. A community action group interested in preserving the environment claims that 45% of the town's residents favor the development of a recreational park. To determine whether the sample supports the population proportion, a simulation of 100 trials is run, each with a sample of 200, using the point estimate of the population. The minimum sample proportion from the simulation is 0.46 and the maximum sample proportion is 0.76. (a) What is the point estimate of the population? (b) The margin of error of the population proportion is found using an estimate of the standard deviation. What is the interval estimate of the true population proportion? (c) The margin of error of the population proportion is found using the half the range. What is the interval estimate of the true population proportion? (d) Is the community action…

Solve the system of equations. Show your work. y = x²-3x+4 x+y=4

3:56 < Mid-Term Exam . 5G 804 ||| What is the ratio of pink shoes to ALL shoes? [?] : [ ] Enter the number that goes in the green box.

Under her cell phone plan, Enola pays a flat cost of $35 per month and $3 per gigabyte. She wants to keep her bill at $46.40 per month. Write and solve an equation which can be used to determine gg, the number of gigabytes of data Enola can use while staying within her budget.     whats the equation and answer

10:18 < Mid-Term Review Ill 5G 48 ||| Skip 4 cm Calculate the area of the circle. Area of 3.14x² a circle: A = [?] cm² Round to the nearest hundredth. USE A 0 ↑

9:20- < Mid-Term Review Find the area. A = [?] cm² ปล 14 ||| Skip 35 cm Area of a trapezoid: (b1+b2) 2 • h 7 cm 11 cm