A large rectangular garden is to be enclosed by a fence and divided into 5 regions by 4 parallel fences across the interior of the garden as shown below. Find the values of l and w for which the total area of the garden is as large as possible, assuming that 120 ft of fencing is available.

Fill in the blank(s) with the appropriate word(s).


6000

Mathematics

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For the given function value determine the quadrants in which the terminal side of the angle can lie.cot ? = -1.4

A. II, IV B. I, III C. III, IV D. II, III

Mathematics

Write the binary number as the indicated number.11,0002 to an octal number

A. 408 B. 1608 C. 208 D. 308

Mathematics

Solve the problem.The "equilibrium constant" for a chemical reaction is often used to calculate the amounts of chemical substances that are present in a system. For a particular reaction, the equilibrium constant K is given by the formula  where A, B, and C are the amounts (in arbitrary units) of chemicals a, b, and c. Calculate the equilibrium constant if A = 3, B = 4, and C = 2. Round your answer to three decimal places when necessary.

A. 18 B. 4.5 C. 9 D. 288

Mathematics

Write the complex number in rectangular form.0.9(cos 300° + i sin 300°)

A. 0.779 + 0.450i B. 1.400 + 0.034i C. 1.766 + 1.400i D. 0.450 - 0.779i

Mathematics