1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
hichkok12 [17]
4 years ago
6

James folds a piece of paper in half several times,each time unfolding the paper to count how many equal parts he sees. After fo

lding the paper about six times, ti becomes too difficult to fold it again,but he is curious how many parts the paper would be broken into if he could continue to fold it. He decides to employ the modeling cycle to predict how many parts the paper would be folded into if he were able to fold it 11 times.
Mathematics
1 answer:
Snezhnost [94]4 years ago
8 0

Answer:

There will be total 2048 parts of the given paper if James if able to fold the paper eleven times.

The needed function is y = 2 ^n

Step-by-step explanation:

Let us assume the piece of paper James decides to fold is a SQUARE.

Now, let us assume:

n : the number of times the paper is folded.

y : The number of parts obtained after folds.

Now, if the paper if folded ONCE ⇒  n = 1

Also, when the pap er is folded once, the parts obtained are TWO equal parts.

⇒  for n = 1 , y = 2       ..... (1)

Similarly, if the paper if folded TWICE  ⇒  n = 2

Also, when the paper is folded twice, the parts obtained are FOUR equal parts.

⇒  for n = 2 , y = 4       ..... (2)

⇒y  = 2^2  =  2^n

Continuing the same way, if the paper is folded SEVEN times  ⇒  n = 7

So, y = 2^ n = 2^7 = 128

⇒  There are total 128 equal parts.

Lastly,  if the paper is folded ELEVEN  times  ⇒  n = 11

So, y = 2^ n = 2^{11} = 2048

⇒  There are total 2048 equal parts.

Hence, there will be total 2048 parts of the given paper if James if able to fold the paper eleven times.

And the needed function is y = 2 ^n

You might be interested in
What is half of seven in a whole number
Nikitich [7]
0.7 / 100 = 0.007 or 0.007 x 100 = 0.7 hope this helps

6 0
3 years ago
10 donuts were eaten out of the 25 donuts paced.What % of donuts was eaten?
Anna11 [10]

Answer:

40%

Step-by-step explanation:

10/25= x/100

25x=1000

25 divided by 1000 =40%

4 0
3 years ago
Ashley deposits $500 into an account that earns 2% interest compounded 3 times per year. How much money will Ashley have in her
Vadim26 [7]
A=p (1+r/k)^kt
A=500×(1+0.02÷3)^(3×4)
A=541.50
5 0
3 years ago
How does the sample size affect the validity of an empirical​ argument? A. The larger the sample size the better. B. The smaller
astra-53 [7]

Answer:

A. The larger the sample size the better.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

In this question:

We have to look at the standard error, which is:

s = \frac{\sigma}{\sqrt{n}}

This means that an increase in the sample size reduces the standard error, and thus, the larger the sample size the better, and the correct answer is given by option a.

7 0
3 years ago
A scatterplot is shown on the graph below. Which of these could be the line of best fit? x = 100 y = 100 y = x – 100 y = x + 100
kkurt [141]

Answer:

55 when y dived and subtracting

Step-by-step explanation:

djiiwwuwb skis wujw que wjsjs what s

6 0
3 years ago
Other questions:
  • What is the value of the expression below when y=8 2y+7
    14·2 answers
  • Find the sum -6/3 - (-7/15)
    8·2 answers
  • Please help. What's the answer???
    7·1 answer
  • What is the answer to this Algebra 2 question?
    10·1 answer
  • 25.(01.05)
    9·2 answers
  • Join my among us game DOCGGF.
    12·2 answers
  • forty percent of the voters chose jasmine. if 540 voters chose natalie the other candidate, how many voters were there
    13·1 answer
  • Help pleaseee and thank you.
    7·1 answer
  • Simplify the expression 1.5y2+6.3+6y-3.9-4y+y2​
    13·1 answer
  • David is saving money to buy a game. So far he has saved $30, which is one-third of the total cost of the game. How much does th
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!