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Savatey [412]
3 years ago
10

A sheet of notebook paper is approximately 0.003 in. thick. Tear the sheet in half so that there are two sheets. Repeat so that

there are four sheets. Repeat again so that there are 8 sheets. Continue in this fashion until the paper has been halved 50 times. If it were possible to complete the process, how high would the final pile be?
Mathematics
1 answer:
geniusboy [140]3 years ago
3 0

Answer:

3.3776997 x 10¹² inches high

Step-by-step explanation:

The number of sheets obtained after each tear (N) is described by an exponential relationship, where 'n' is the number of tears:

N=2^n

For n = 50:

N=2^{50}\\N=1.1258999*10^{15}

If each sheet is 0.003 in thick, the stack would have a height of:

h = 1.1258999*10^{15}*0.003\\h= 3.3776997*10^{12}\ in

The final pile would be 3.3776997 x 10¹² inches high.

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Answer:

  • <em><u>The field in Lexie's drawing should be 20 cm long.</u></em>

Explanation:

Making a scale drawing requires that the figure be similar, which implies that the sides of the figures be proportional.

The proportion for a drawing 30 cm wide and unknown length with the soccer field that is 120 yards long and 80 yards wide is:

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Thus, using x for the unknown width of the drawing:

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Thus, you must solve for x:

  • 30 cm × 80 yard = 120 yard × x

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3 years ago
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NNADVOKAT [17]

Answer:

2 angles are shown one angle is 56 degrees and the other is 34 degrees

Step-by-step exp

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56+34=90

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3 years ago
Find the slope of a line parallel to the line that crosses ( 3 , − 2 ) and the y -intercept is ( 0 , − 3 ) . I finally figured o
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y = 1/3x - 3

Step-by-step explanation:

We can find the equation of the line, by finding the slope and combine with our y-intercept (-3).

We need to use the slope formula to find the slope.

Thus, we have (-3 - (-2)) / 0 - 3 = -1/-3 = 1/3

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Bella wants to know how long her dog is. She measure its body and finds that it is 54 cm long. Then she measures the tail and fi
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=\frac{4x^{3}}{16 x^{4}}

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