Join IDNLearn.com and start exploring the answers to your most pressing questions. Get the information you need from our community of experts who provide accurate and thorough answers to all your questions.

\begin{tabular}{|r|r|r|r|r|r|r|r|r|r|r|}
\hline & \multicolumn{1}{|c|}{A} & \multicolumn{1}{|c|}{B} & \multicolumn{1}{c|}{C} & \multicolumn{1}{c|}{D} & \multicolumn{1}{|c|}{E} & \multicolumn{1}{|c|}{F} & G & H & I & J \\
\hline 1 & 9 & 7 & 6 & 2 & 5 & 1 & 9 & & & \\
\hline 2 & 4 & 9 & 5 & 4 & 3 & 6 & 5 & & & \\
\hline 3 & 6 & 4 & 4 & 7 & 7 & 3 & 1 & & & \\
\hline 4 & 7 & 6 & 8 & 1 & 1 & 4 & 3 & & & \\
\hline 5 & 8 & 7 & 2 & 6 & 9 & 2 & 4 & & & \\
\hline 6 & 2 & 8 & 7 & 8 & 3 & 5 & 6 & & & \\
\hline 7 & 1 & 2 & 9 & 3 & 5 & 3 & 7 & & & \\
\hline 8 & 5 & 4 & 7 & 8 & 6 & 7 & 2 & & & \\
\hline 9 & 3 & 1 & 6 & 1 & 4 & 5 & 2 & & & \\
\hline
\end{tabular}

1. Multiply A6 by F3, then add C5 to the product and save the sum in [tex]H_2[/tex].
2. Find the sum of [tex]A3 + B1 + C2 + D4[/tex] and save the sum in [tex]H_4[/tex].
3. Find the sum of [tex]A9 + F2[/tex] and save the sum in [tex]H_5[/tex].
4. Add [tex]H_4[/tex] and [tex]H_5[/tex] together and save the sum in [tex]H_6[/tex].
5. If the value saved in [tex]H_6[/tex] is smaller than [tex]H_2[/tex], then swap their contents. If not, do not swap them.
6. Multiply [tex]H_2[/tex] by [tex]H_5[/tex], then subtract [tex]H_4[/tex] and store the value in [tex]I_2[/tex].

What is the value of [tex]I_2[/tex]?

A. 84
B. 74
C. 54
D. 64


Sagot :

Let's solve the question step-by-step.

### Step 1: Calculate [tex]\(H_2\)[/tex]
Multiply [tex]\(A6\)[/tex] by [tex]\(F3\)[/tex] and then add [tex]\(C5\)[/tex] to the product.

- [tex]\(A6 = 2\)[/tex]
- [tex]\(F3 = 3\)[/tex]
- [tex]\(C5 = 2\)[/tex]

Calculate the product:
[tex]\[ A6 \times F3 = 2 \times 3 = 6 \][/tex]

Now add [tex]\(C5\)[/tex]:
[tex]\[ 6 + 2 = 8 \][/tex]

So, [tex]\(H_2 = 8\)[/tex].

### Step 2: Calculate [tex]\(H_4\)[/tex]
Find the sum of [tex]\(A3 + B1 + C2 + D4\)[/tex].

- [tex]\(A3 = 6\)[/tex]
- [tex]\(B1 = 7\)[/tex]
- [tex]\(C2 = 5\)[/tex]
- [tex]\(D4 = 1\)[/tex]

Sum them up:
[tex]\[ 6 + 7 + 5 + 1 = 19 \][/tex]

So, [tex]\(H_4 = 19\)[/tex].

### Step 3: Calculate [tex]\(H_5\)[/tex]
Find the sum of [tex]\(A9 + F2\)[/tex].

- [tex]\(A9 = 3\)[/tex]
- [tex]\(F2 = 6\)[/tex]

Sum them up:
[tex]\[ 3 + 6 = 9 \][/tex]

So, [tex]\(H_5 = 9\)[/tex].

### Step 4: Calculate [tex]\(H_6\)[/tex]
Add [tex]\(H_4\)[/tex] and [tex]\(H_5\)[/tex] together.

[tex]\[ H_6 = H_4 + H_5 = 19 + 9 = 28 \][/tex]

So, [tex]\(H_6 = 28\)[/tex].

### Step 5: Comparison and Swap (if necessary)
Compare [tex]\(H_6\)[/tex] and [tex]\(H_2\)[/tex].

- [tex]\(H_2 = 8\)[/tex]
- [tex]\(H_6 = 28\)[/tex]

Since [tex]\(H_6\)[/tex] is not smaller than [tex]\(H_2\)[/tex], no swapping is needed.

### Step 6: Calculate [tex]\(I_2\)[/tex]
Multiply [tex]\(H_2\)[/tex] by [tex]\(H_5\)[/tex], then take away [tex]\(H_4\)[/tex].

[tex]\[ H_2 \times H_5 = 8 \times 9 = 72 \][/tex]

Subtract [tex]\(H_4\)[/tex]:
[tex]\[ 72 - 19 = 53 \][/tex]

So, [tex]\(I_2 = 53\)[/tex].

Given the numerical result we have obtained for each step, there seems to be a disconnect with the final question asking for the value of "12." Given no specific context other than interpreting [tex]\( I_2 \)[/tex] as the final value derived:

The correct value for [tex]\( I_2 \)[/tex] based on our calculations is:
[tex]\[ \boxed{53} \][/tex]

However, considering the options given in the question [tex]\((84, 74, 54, 64)\)[/tex], none match the calculated [tex]\( I_2 \)[/tex] value of 53.

If you are looking for [tex]\(I_2\)[/tex], it's the value we've calculated: [tex]\(53\)[/tex]. Among the provided options, the closest (though not matching) would be [tex]\(54\)[/tex].

Given the discrepancy, the exact match is [tex]\(53\)[/tex], and the practical answer from the available choices would be:
[tex]\[ \boxed{54} \][/tex]