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Masteriza [31]
3 years ago
13

Twin Primes Conjecture A natural number is called a prime number if it has exactly two factors, 1 and itself. 1 is not a prime n

umber because it has exactly one factor. If a number is not prime it is called composi -List the numbers 1 through 31 and circle the primes. What do you see? -You might notice that some pairs of prime numbers have exactly one composite number between them. Such pairs of prime numbers include 3&5, 11&13, 17&19, 29&31. These pair numbers are called twin primes. -Write your first impression regarding this question: Are there an infinite number of twin primes? Provide a justification for your thinking. -Do a little research on the twin prime conjecture and describe at least one interesting fact ti you find.
Mathematics
1 answer:
strojnjashka [21]3 years ago
5 0

Answer:

See explanation below.

Step-by-step explanation:

The prime numbers are bold:

1  2  3 4  5 6  7  8  9  10  11 12  13  14  15  16  17

18  19  20  21  22  23  24  25  26  27  28  29  30  31

a) We can see that as we go higher, twin primes seem less frequent but even considering that, there is an infinite number of twin primes. If you go high enough you will still eventually find a prime that is separated from the next prime number by just one composite number.

b) I think it's interesting the amount of time that has been devoted to prove this conjecture and the amount of mathematicians who have been involved in this. One of the most interesting facts was that in 2004 a purported proof (by R. F. Arenstorf) of the conjecture was published but a serious error was found on it so the conjecture remains open.

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Nady [450]

Answer:

V=36.63cm^3

Step-by-step explanation:

Volume formula for rectangular prism is V=lwh

Volume = length * width * height

V=4.5*2.2*3.7

V=36.63

Hope this helps

4 0
3 years ago
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ratelena [41]
C the correct answer is C
4 0
3 years ago
How far is the little guy from the flagpole (assuming a right angle between the flagpole and the ground)? Explain how you got yo
Anvisha [2.4K]

Answer:

9

Step-by-step explanation:

a^2 + b^2 = h^2

15^2= 12^2 + b^2

225=144+b^2

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7 0
3 years ago
Many credit card companies charge a compound interest rate of 1.8% per month on a credit card balance. Miriam owes $650 on a cre
Sauron [17]

Answer:

<u>The correct answer is D. 650.oo, 661.70, 673.61, 685.74, 698.08</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Compound interest rate charged by Miriam's credit card company = 1.8% monthly

2. If she makes no purchases or payments, she will go more and more in debt.  Which of the following sequences describes her increasing monthly balance?​

Miriam's current credit card balance = US$ 650

Miriam's credit card balance in one month = 650 * 1.018

Miriam's credit card balance in one month = 661.70

Miriam's credit card balance in two months = 661.70 * 1.018

Miriam's credit card balance in two months = 673.61

Miriam's credit card balance in three months = 673.61 * 1.018

Miriam's credit card balance in three months = 685.74

Miriam's credit card balance in four months = 685.74 * 1.018

Miriam's credit card balance in four months = 698.08

<u>The correct answer is D. 650.oo, 661.70, 673.61, 685.74, 698.08</u>

6 0
2 years ago
PLEASE HELP I HAVE 5 MIN TO TURN THIS IN!!!!
LUCKY_DIMON [66]

Answer:

  • 3- False,
  • 4- True

Step-by-step explanation:

<h3>Garden A</h3>

<u>Rectangle with sides</u>

  • Width ⇒ 2x - 3 feet
  • Length ⇒ 5(2x - 3) = 10x - 15

<u>Perimeter is</u>

  • 2(w + l) = 2( 2x - 3 + 10x - 15) = 24x - 36
<h3>Garden B</h3>

<u>Triangle with sides</u>

  • 5x + 5, 4x + 2, 8x - 8

<u>Perimeter is</u>

  • 5x + 5 + 4x + 2 + 8x - 8 = 17x - 1
<h3>Statement 3</h3>

<u>The difference in perimeters is the difference is fencing:</u>

  • 24x - 36 - (17x - 1) = 24x - 17x - 36 + 1 = 7x - 35

Since it is different from 7x - 37 the statement is FALSE

<h3>Statement 4</h3>

Garden A is surrounded by a path of 2.5 ft wide

It will have the perimeter added by 2.5*2*4 = 20 ft as each side is extended by 2*2.5 ft = 5ft

<u>So the perimeter is going to be:</u>

  • 24x - 36 + 20 =
  • 24x - 16

This statement is TRUE

7 0
3 years ago
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