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Find both the biggest and smallest values that the function f (x, y) achieves within the region R. f(x,y) = 3x+3y; R is the set of points (x,y) such that both x2 +y2 ≤ 100 and y ≤ 0.
A rectangle is four times as long as it is wide. If its length were diminished by 6 meters and its width were increased by 6 meters, it would be a square. What are its dimensions?
From the top of a 215 ft lighthouse, the angle of depression to a ship in the ocean is 23°. How far is the ship from the base of the lighthouse? Round your answer to the nearest foot.
The equation y = print_coeff(m,1)x print_const(b) describes the amount of money a class of students might earn from candy bar sales. What are the slope and y-intercept of this line?
A car rental agency rents 210 cars per day at a rate of 32 dollars per day. For each 1 dollar increase in the daily rate, 5 fewer cars are rented. At what rate should the cars be rented to produce the maximum income, and what is the maximum income..
The first kernel pops 127 seconds after the microwave oven is started. What is the z-score of this kernel? Round your answer to two decimal places.
Apply an ANOVA with alpha
1) Suppose that the weight of navel oranges is normally distributed with mean μ = 8 ounces, and standard deviation δ = 1.5 ounces. A random sample of 15 oranges is taken. What is the probability that: A) the average weight of oranges in the selecte..
A swimming pool is circular with a 20-ft diameter. The depth is constant along east-west lines and increases linearly from 4 ft at the south end to 9 ft at the north end. Find the volume of water in the pool. (Round the answer to the nearest whole..
Modeled the word problem mathematically like system of equations and solve by the matrix method - Prepare an equation for the total amount of carbohydrates.
A poster is to have an area of 240 in2 with 2 inch margins at the bottom and sides and a 3 inch margin at the top. What dimensions will give the largest printed area?
you deposit 750.00 in an account that earns 5 simple interest. how much interest will your money earn in 6
If $655 is invested in an account that earns 9.75%, compounded annually, what will the account balance be after 15 years?
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