Got you. So we will use the basic formula for the area of a rectangle and insert variable values. (^_^)

Area= Width(Height) ----------- Insert values of width and height [width = (x-1)
, height = (x+9)]

Area= (x-1)(x+9) ) -------------- Then expand if needed?
= x² +8x -9

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3 years ago

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Use the counting principle to determine the number of elements in the sample space. The possible ways to complete a multiple-cho

nadezda [96]

Answer:

The correct answer is 4294967296 possible ways to complete such a test.

Step-by-step explanation:

Step 1

The first step is to define the fundamental principle of counting. The fundamental principle of counting states that if a process can be carried out in n steps, where there are $n_1$ ways to complete the first step, $n_2$ ways to complete the second step, $n_3$ , and $n_k$ ways to complete the $k^{th}$ step, this process can be carried out in $n_1\times n_2\times n_3\times ...\times n_k$ ways.

Step 2

We use the fundamental principle of counting with $n=4$ for a total of $k=16$ steps. This test can be carried out in $4^{16}=4294967296$ ways. This comes from multiplying 4 by itself 16 times.