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ArbitrLikvidat [17]
3 years ago
10

The length of a box as reported by its manufacturer is 13.67 cm. Joe has a ruler which has markings for each millimeter. Which m

ost likely represents the length of the box that Joe is able to measure?

Mathematics
1 answer:
AlekseyPX3 years ago
6 0

Answer:

Option (3)

Step-by-step explanation:

Joe has a ruler which has markings for each millimeter, so the least measurement which Joe can do is in millimeter.

Since, 10 mm = 1 cm

Therefore, 1 mm = 0.1 cm

This rule states that Joe can measure a length or distance in nearest tenth of a cm only.

If length of a box = 13.67 cm,

So Joe can measure it as 13.7 cm approximately.

Therefore, Option (3) will be the answer.

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Answer:

\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}

Step-by-step explanation:

Given

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Required

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The numerator of \frac{f(x + h) - f(x)}{ h} is:

f(x + h) - f(x) =  \frac{7}{2}x+ \frac{7}{2}h- 16 -(\frac{7}{2}x - 16)

f(x + h) - f(x) =  \frac{7}{2}x+ \frac{7}{2}h- 16 -\frac{7}{2}x + 16

Collect like terms

f(x + h) - f(x) =  \frac{7}{2}x  -\frac{7}{2}x + \frac{7}{2}h- 16 + 16

f(x + h) - f(x) = \frac{7}{2}h

So, we have:

\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h \div h

Rewrite as:

\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h * \frac{1}{h}

\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}

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