Determine the number of ways a computer can randomly generate an integer between 10 and 20 (inclusive) that is a composite number (a composite number is a number that is not a prime number).
A. ?8
B. ?6
C. 7
D. 6
E. 9
Answer: C
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Simplify the expression so that no negative exponents appear in the final result. Assume all variables represent nonzero numbers.m-10m5m-1
A. m6
B. 
C. 
D. m8
Establish the identity.
= cot 
What will be an ideal response?
Formulate but do not solve the following exercise as a linear programming problem.
Steinwelt Piano manufactures uprights and consoles in two plants, plant I and plant II. The output of plant I is at most
300/month, whereas the output of plant II is at most 250/month. These pianos are shipped to three warehouses that serve
as distribution centers for the company. To fill current and projected future orders, warehouse A requires a minimum of
150 pianos/month, warehouse B requires at least 200 pianos/month, and warehouse C requires at least 200 pianos/month.
The shipping cost of each piano from plant I to warehouse A, warehouse B, and warehouse C is $60, $30, and $50,
respectively, and the shipping cost of each piano from plant II to warehouse A, warehouse B, and warehouse C is $90,
$50, and $40, respectively. What shipping schedule will enable Steinwelt to meet the warehouses' requirements while
keeping shipping costs to a minimum?
Find the first four terms of the binomial series for the given function.(1 - 8x)1/2
A. 1 - 4x - 8x2 - 16x3 B. 1 - 4x + 8x2 - 32x3 C. 1 - 4x - 8x2 - 32x3 D. 1 + 4x + 8x2 - 16x3