DON'T SEND A LINK AND JUST ANSWER IT PLZ

Answer:

  you need to show the number is prime

Step-by-step explanation:

To show 2^7 -1 is prime, you have to show it is not divisible by any prime less than its square root. That root is approximately 2^(7/2) = 2^3×√2 ≈ 11.3.

The primes of in that range are 2, 3, 5, 7, 11. The prime we're testing is ...

  2^7 -1 = 128 -1 = 127

The sum of digits is 10, which is not a multiple of 3: not divisible by 3.

The units digit is 7, not 0 or 5: not divisible by 5.

The test for divisibility by 7 is to subtract twice the units digit from the rest of the number: 12 -2(7) = -2. This is not 0 or a multiple of 7, so 127 is not divisible by 7.

We know that 11² = 121, so 127 is not divisible by 11.

All of the tests for primality pass, so 2^7 -1 is a Mersenne prime.

_____

Additional comment

It is known that 2^n -1 being prime requires n to be prime. (The converse is not true: 2^11 -1 = 2047 = 23×89 is not prime.) The discovery of Mersenne primes is an ongoing process involving thousands of computers around the world. Only about 50 such primes are known.

You will notice that we have made use of some divisibility rules in order to simplify the process of dividing by small numbers. These can be helpful in many situations, so can be useful to learn.

Answer:

Answer:

£3692

Step-by-step explanation:

A = p(1 + r/n)^nt

Where,

A = future value

P = principal = £2350

r = interest rate = 4.2% = 0.042

n = number of periods = 1(annual)

t = time = 4 years

A = p(1 + r/n)^nt

= 2350(1 + 0.042/1)^1*4

= 2350(1 + 0.042)^4

= 2350(1.042)^4

= 2350(1.5789)

= 2770.42

A = £2770.42

Total years = 10

Remaining years = 10 – 4

= 6 years

Remaining 6 years

P = £2770.42

r = 4.9% = 0.049

n = 1

t = 6

A = p(1 + r/n)^nt

= 2770.42(1 + 0.049/1)^1*6

= 2770.42(1 + 0.049)^6

= 2770.42(1.049)^6

= 2770.42(1.3325)

= 3691.59

A = £3691.59

Approximately £3692

Thank you!

Answer:

Step-by-step explanation:

Two hats were collected in the second month (5-3) =2.

Answer:

I think it is the line D as a thought

Answer:

No solution

Step-by-step explanation:

Expand and simplify both expressions:

6l+18 < 6l+18

6l+18-18 < 6l+18-18

6l < 6l

0 < 0

Therefore, there is no solution

Answer:

n=19

d=12

$225n+$250d=

$225(19)+$250(12)=

4275+3000

=7275

Step-by-step explanation:

Answer:

The answer is c when u solve for x it gives 0 and for y gives 2

Answer:

$1

Step-by-step explanation:

Sorry the first x is blank

The second x:

$5.06-$2.06=$3

3/3=$1

Answer:

x = 4

Step-by-step explanation:

3x-4 = 8

3x = 12

x = 4

good luck

Answer:

x = 4

Step-by-step explanation:

3x - 4 = 8

3x = 8 + 4

3x = 12

x = 4

Answer:

14.69

Step-by-step explanation:

22.6% = 0.226

65 × 0.226 = 14.69

The sequence 1/2, 7/6, 11/6, 5/2 is an arithmetic sequence

The given sequence is:

[tex]\frac{1}{2}, \frac{7}{6},\frac{11}{6},\frac{5}{2}........[/tex]

A sequence is an arithmetic sequence if it has a common difference d

In the given sequence:

[tex]T_1=\frac{1}{2} , T_2 = \frac{7}{6}, T_3=\frac{11}{6}, T_4=\frac{5}{2}[/tex]

[tex]T_2-T_1=\frac{7}{6}-\frac{1}{2} \\\\T_2-T_1=\frac{2}{3} \\\\T_3-T_2=\frac{11}{6}-\frac{7}{6} \\\\T_3-T_2=\frac{2}{3}[/tex]

Since the sequence has a common difference of 2/3, it is an arithmetic sequence

Learn more on sequence here: https://brainly.com/question/25935727

Answer:

area = PI x r^2

area = 3.14 x 13^2

area = 3.14 x 169

area = 530.66

Step-by-step explanation:

Plz Mark as brainliest hope this helps

Answer:

Option B, x + 2y = 8

Step-by-step explanation:

When two lines are parallel, their gradients are equal i.e M1 = M2

(Note: When two lines are perpendicular, the product of their gradients is equal to - 1 i.e M1M2 = -1)

Gradient of a line = (y2 - y1)/(x2 - x1)

Using coordinates (-4,0) and (4,-4)

Gradient of the line = (-4-0)/[4-(-4)]

= -4/4+4

= -4/8

= -1/2

Therefore gradient of the parallel line is -1/2

Equation of a line using slope intercept form

(y - y1) = m(x - x1)

The parallel line passes through point (2,3)

y - 3 = -1/2 ( x - 2)

2(y - 3) = -1(x - 2)

2y - 6 = -x + 2

2y + x = 8

I hope this helps you to learn....

Answer:

a and d

Step-by-step explanation:

Answer:

9 miles per hour

Step-by-step explanation:

He goes 3/4 of a mile in 15 minutes, so multiply x 4 to get how far per hour. 3/4 x 4 = 12/4 = 3 miles per hour. He went for 3 hours, so 3 x 3 = 9.

Answer:

6, 60, 0.6, 600 are the answers

the questions all use the same digits but that the powers of 10 are different between the dividends and divisors for some

Step-by-step explanation:

Answer:

listen picture is not clear

Answer:add 126 and 21 and 1.19

Step-by-step explanation:

126+21+1.19=

hope this helped

Answer:

7.14

Step-by-step explanation:

126 miles divided by 21 miles is 6 miles

So 6 gallons for 126 miles

1.19 times 6 is 7.14

110 is the initial fee.

intial fee is the y-intercept.

Answer:

20 (30 + d)

Step-by-step explanation:

your welcome :)

Answer:

2 and 4th one.

Step-by-step explanation:

Hopes This Helps :)

Answer:

solution,                                                                                                                                     cp=Rs150                                                                                                                                        profit=Rs12                                                                                                                              Now,                                                                                                                                                   profit percent=profit% of cp                                                                                              or,profit percent=12/100 x Rs150                                                                                                Therefore,profit percent =18%

Step-by-step explanation:

Answer:

8%

Step-by-step explanation:

We know that

Profit% = Profit/CP × 100

=> 12/150 × 100

=> 12/15 × 10

=> 4/5 × 10

=> 8%

The value of a in terms of b is given as [tex]a = 8b^3[/tex]

Given the equation solved by Leo expressed as [tex]b=\frac{1}{2}\sqrt[3]{a-1}[/tex]

We are to solve the equation for the variable "a"

Given;

[tex]b=\frac{1}{2}\sqrt[3]{a-1}[/tex]

Cross multiply

[tex]2b=\sqrt[3]{a-1}[/tex]

Cube both sides of the equation:

[tex](2b)^3=(\sqrt[3]{a-1})^3 \\8b^3=a-1[/tex]

Add 1 to both sides of the equation:

[tex]8b^3+1=a-1+1\\8b^3=a\\Swap\\a=8b^3[/tex]

Hence the value of a in terms of b is given as [tex]a = 8b^3[/tex]

Learn more on subject of formula here: https://brainly.com/question/657646

Answer:

The numbers are 27 and 41.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

The numbers would be 41 and 27

Step-by-step explanation:

It would be 41 and 27 because the number we know is 64 so if you divide that by 2 you have 34 (34+34=68) and if you then take half of 14 (14 comes from this part of the question "the larger number is 14 more than the smaller number".) (14/2=7) 7 from one side and add it to the other side you get 41+27=68

(we can also fact check this because your smaller number 27 plus 14 equal 41, then and 41 plus 27 equals 68)

[tex](3-5i)^2\\\\=3^2-2(3)(5i) + (5i)^2\\\\=9-30i +25i^2\\\\=9-30i +25(-1)~~~~;[i^2=-1]\\\\=9-30i-25\\\\=-16-30i[/tex]

[tex]\huge \bf༆ Answer ༄[/tex]

The additional information needed to prove that the triangles are congruent is ~ A

Answer: Choice A

Explanation:

The shorthand AAS stands for "angle angle side". The diagram shows we have a pair of congruent angles, which takes care of one "A" of "AAS". So we need info about another pair of angles to take care of that other "A".

One possible pair is angle M and angle V, or we could go for angle N and angle U. Whichever option you go for, the tickmarked sides are not between the angles mentioned. If the side was between the angles, then we'd have to use ASA which is slightly different from AAS. The order matters.

Answer:

P = − 0.002x + 2.5 − 700 over x

Step-by-step explanation:

Answer:

46.85

Step-by-step explanation:

He had $46.85 to begin with, because 27.70 + 19.15 is equal to 46.85

There are 20 red marbles

Since the probability of randomly choosing a blue marble is 5/9, then the probability of choosing a red marble will be:

= 1 - 5/9

= 4/9

If there are 45 marbles in total, the number of red marbles will be:

= 4/9 × 45

= 20

Therefore, there are 20 red marbles.

Answer:

Well we’ll just substitute

So 5z-4

And z is 5

5*5-4

25-4=21

The value is 21