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Solve the given equation. (Enter your answers as a comma-separated list. Letkbe any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.)
2sin2(θ)+cos(θ) = 1
1) A Batch of 40 good workpieces is to be produced using a sand casting process with a starting material thatcosts $40 a piece. The time it takes to fill the mold is 10 seconds, while the solidification time is 1minute. The casting is removed from th..
For speeds between 40 and 65 mph, a truck gets 480/x miles per gallon when driven at a constant speed of x miles per hour. Diesel gasoline costs 2.23 per gallon, and the driver is paid 15.10 per hour.
A 45-year-old male from the Midwest presented with the following symptoms during February: weakness, fatigue, orthostatic hypotension, weight loss, dehydration, and decreased cold tolerance. His blood chemistry values follow:
A farmer has 1900 feet of fencing available to enclose a rectangular area bordering a river. If no fencing is requiredalong the river, find the demensions of the fence that will maximize the area. What is the maximum area?
Let G be a group of order n and suppose that G has 2^(n-1) subgroups. Show that G = or G is isomorphic to Z2 . You may use the fact that a set of k elements has 2^k subsets.
a study at a semiconductor manufacturing plant analyzed whether the presece of particles on the die affected the
An apple orchard has an average yield of 32 bushels of apples/tree if tree density is 24 trees/acre. For each unit increase in tree density, the yield decreases by 4 bushels/tree. How many trees should be planted in order to maximize the yield?
The histogram below represents the number of television sets per household for a sample of U.S. households. What is the minimum number of households having the same number of television sets?
a.The internal rate of return is 13%. If the opportunity cost of capital is 10%, what is the NPV of the project? (Negative amount should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to 2 decimal places.)
what are the four steps for solving an equation? should any other factors be accounted for when solving an equation?
A small dam is in the shape o f a semicircle with diameter 40 m (the diameter of the circle is the top of the dam). Assuming that the water level is at the top of the dam, find the total force on the face of the dam.
How many students does the college need to enroll in the first year to break even?
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