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Tanzania [10]
3 years ago
7

Pacey's computer is infected with a virus. The number of files the virus corrupts doubles every 8 minutes. The following express

ion represents the number of files corrupted after x minutes.
5(2)^ x/8

Which statement is true?

The expression (0.91)x reveals the approximate rate at which the files are corrupted per hour.
The expression (1.09)x reveals the approximate rate at which the files are corrupted per hour.
The expression (1.09)x reveals the approximate rate at which the files are corrupted per minute.
The expression (0.91)x reveals the approximate rate at which the files are corrupted per minute.
NextReset
Mathematics
2 answers:
V125BC [204]3 years ago
5 0

Answer:

The expression (1.09)x reveals the approximate rate at which the files are corrupted per minute.

Step-by-step explanation:

The number of files the virus corrupts doubles every 8 minutes.

The following expression represents the number of files corrupted after x minutes.

5(2)^ {\frac{x}{8}}

5(2)^ {\frac{1}{8} \times x}

5(1.09)^ x

Thus The expression (1.09)x reveals the approximate rate at which the files are corrupted per minute.

Hence Option C is correct.

mixas84 [53]3 years ago
3 0
The answer for plato is C The<span> expression (1.09)x reveals the approximate rate at which the files are corrupted per minute.</span>
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Answer:

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Step-by-step explanation:

You want the dimensions of a rectangle and square such that they have the same perimeter, but the square has an area of 36 more square feet. The rectangle is twice as long as wide.

<h3>Setup</h3>

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The perimeter in each case is 4x = 2((x+6) +(x -6)) = 72 ft.

The area of the rectangle is (12 ft)(24 ft) = 288 ft². The area of the square is (18 ft)² = 324 ft², a value that is 36 ft² more than the rectangle area.

<em>Alternate solution</em>

Using x for the width of the rectangle, the length is 2x and its area is x(2x) = 2x². The perimeter is 2(x +2x) = 6x, so the side length of the square is (6x)/4 = 3/2x and its area is (3/2x)² = 9/4x².

The difference is 36 square feet, so we have ...

  9/4x² -2x² = 36 = x²/4   ⇒   x = √(36·4) = 6·2 = 12 . . . . width of rectangle

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