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Savatey [412]
4 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]4 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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I need help plz, i will give brainliest for the correct answer
DanielleElmas [232]

Answer:

  • f'(1) exists: f'(1) = -2
  • f'(0) DNE

Step-by-step explanation:

<h3>a)</h3>

The function is continuous for x > 0 . The derivative is defined on that interval and is equal to ...

  f'(x) = -2x . . . . . for x > 0

Then at x = 1, the derivative is ...

  f'(1) = -2(1)

  f'(1) = -2

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<h3>b)</h3>

The function has a jump discontinuity at x=0, so the derivative does not exist at that point. A condition for the existence of the derivative is that the function is continuous at the point of interest.

6 0
2 years ago
Jerry bought 6.95 pounds of cherry and lime jelly beans dor his birthday party. If 1.75 pounds were cheery, how many pounds were
Gekata [30.6K]
So you have 6.95 pounds and 1.75 pounds of it is cherry. 

To find how many pounds you have of lime just subtract the amount of cherry.

6.95-1.75= 5.2 pounds of lime jelly beans 
7 0
3 years ago
Write each improper fraction as a mixed number. 9/4. 8/3. 23/6. 11/2. 17/5. 15/8. 33/10. 29/12.
yanalaym [24]

Aloha~! My name is Zalgo and I am here to provide a bit more knowledge to you today. The following Improper Fractions have been changed into Mixed Numbers (and also into decimals because I like Math :3):

  • 9/4 - 2.25 - 2 4/1
  • 8/3 - 2.67 - 2 2/3
  • 23/6 - 3.83 - 3 5/6
  • 11/2 - 5.5 - 5 1/2
  • 17/5 - 3.4 - 3 2/5
  • 15/8 - 1.875 - 1 7/8
  • 33/10 - 3.3 - 3 3/10
  • 29/12 - 2.416 - 2 5/12

I hope that this info helps! :D

"Stay Brainly and stay proud!" - Zalgo

(By the way, can you mark me as Brainliest? I'd greatly appreciate it! Mahalo~! XP)

7 0
3 years ago
Read 2 more answers
Let x be the number of successes throughout n independent repetitions of a random experiment having probability of success p=1/4
Llana [10]

To answer problems like this you have to use binomial:

P (x > 1) = 1 – p (0 < x < 1) > .7 

So:

1 – p (0) – p (1) > .7 

1 – (3/ 4) ^n – (3/ 4) ^n (n – 1 ) (1/ 4) > .7 

Therefore n > 5.185, and the smallest value of n so that we can satisfy the given condition is 6 (rounded up)

<span> </span>

6 0
4 years ago
the trailer cost one-fourth as much as the boat. the total cost of both is 4,000 how much did each cost
Katarina [22]

Answer: Boat  cost $ 3200

Trailer cost $ 800

Step-by-step explanation:  From the statement , the coat of Trailer (t) = 1/4 of the coat of the boat ( b)

i.e t = 1/4b

multiply through by 4

4t = b

both cost 4,000

i.e t + b = 4000

recall: b = 4t

therefore

t + 4t = 4000

5t      = 4000

       t = 4000/5

       t = 800

       b = 4000 - 800

       b = 3200

4 0
4 years ago
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