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Lions have to be in separate cages, and they may not be placed in adjacent cages. How many ways can zookeepers allot lions to cages?
The boy is flying 2 kites at same time. He has 380 feet of line out to 1 kite and 420 feet to other. He evaluates angle between two lines to be 30 degrees. Find distance between kites.
If the triangle has two angles of 46 degrees and 20 degrees, and side of length 65 which is adjacent to both of them, determine remaining sides and angle of triangle.
Determine the function which models number of bacteria n(t) after t hours. Determine number of bacteria after two hours. After how many hours will number of bacteria double?
How to create the butterfly picture by graphing 6 -8 tigonometric functions. For every function find out amplitude and vertical and phase shift?
The top and bottom margins of the poster are each 9 cm and side margins are each 6 cm. If area of printed material on poster is fixed at 864 cm2, determine dimensions of poster with smallest area.
Draw the graph of region determined by contrains from part (b). Find blend of regular and premium unleaded gasoline which results in the optimal cost of mid-grade unleaded gasoline.
Profits per unit are $300 for model X and $375 for model Y. Find optimal production level for every model? Find the optimal profit. Illustrate all work.
The forest fire is situated on the bearing of N38E from western station at A and bearing of N19E from eastern satation at B. Find bearing of western station from fire?
Find width of the river which flows due east, if the surveyor finds that the tree on opposite bank has the bearing of N 25 E from the certain point and bearing of N 16 W from the point of 500 feet d
Bob earns $10 per hour for tutoring math students at the local high school. How many hours must bob devote to every job to maximize the earnings? Find the maximum income per week?
From point where ball lies, he estimates the angle of 160° between tee and green. Determine angle of the drive off tee estimated from dashed line from tee to green.
Then, she turns through angle (Fish Symbol) 15 degrees east of north and runs four miles in new direction. How many miles is she now from the lair?
The age of the ancient artifact can be found by amount of radioactive carbon 14 remaining in it. Determine the age of the object if amount D of carbon-14 which remains in object is 74% of original amo
She utilize the protractor to measure the angle of 38 degrees from level ground to kite string. If she utilized the full 100 yard spool of string, how high, in feet, was kite?
The plane is headed due south with the air speed of 192 mph. The wind from the direction of 78.0 degrees is blowing at 23 mph. Determine groundspeed and resulting bearing of plane.
2 rescue vessels are pulling the broken-down motorboat toward the boathouse with forces of 840 lb and 960 lb. Angle between the forces is 24.5 degrees. Determine direction and magnitude of equilibr
The person is chosen at random from sample. Determine probability which person selected (a) had 2 injections, (b) did not get flu, and (c) got flu and had 1 injection.
Find number of tax rtns and audits which can be done with hours (and formula for how to know this? and What is maximum revenue.
Assume the gun fires the bullet into air with the initial speed of 2048 ft/s at the angle of 30o to horizontal. After how many seconds will bullet hit ground?
The population of St. Petersburg, Florida (in thousands) can be estimated by function where x=70 corresponds to 1970. If model remains accurate, in what year will population be 256,000?
Now you amke decision to add the fee of $206 per tour group regardless of size. Find smallest number of people who have to go on the tour for you to build $700?
Determine the function which models number of hours of daylight t days after January 1. Suppose that year has 365 days and that spring equinox, when day is 12 hours long.
Assume you invest $580 at 10% compounded continuously. Write the exponential function to model amount in the investment account.
The pilot, flying at the altitude of 5000 feet, wants to approach numbers on the runway at the angle of 10 degree. Find, to the nearest 100 feet, distance from airplane to numbers at starting of de