Problema 6 Descompongan los siguientes números en factores primos. ¿Es posible encontrar, para cada número, más de una descomposición en factores primos? a. 42 b. 31 c. 36 d. 45

Answers

Answer 1

Answer:

a: 42 =  2*3*7

b: 31 = 31*1

c: 36 = 2*2*3*3

d: 45 = 3*3*5

Cada descomposición es unica.

Step-by-step explanation:

Sabemos que todo número entero puede ser reescrito como un producto de números primos.

Esta descomposición es única, dado que una vez tenemos un número escrito como producto de primos, esos números primos no pueden descomponerse en otra cosa, por lo que se concluye que una descomposición en primos es única.

a: 42

Para obtener la descomposición, podemos comenzar dividiendo por primos, comenzando por los más bajos.

En este caso, podemos comenzar por 2:

42/2 = 21

asi, podemos reescribir:

42 = 2*21

Ahora ya tenemos un factor que es primo, el 2, y un factor que no lo es, el 21.

Asi que debemos reescribir el 21 como producto de primos.

Y sabemos que 3*7 = 21, donde ambos 3 y 7 son primos, entonces:

42 = 2*21 = 2*3*7

42 = 2*3*7

así hemos reescrito 42 como un producto entre números primos.

b. 31

31 es un número primo, por lo que su descomposición es:

31 = 31*1

c. 36

Comenzamos dividiendo por 2.

36/2 = 18

36 = 2*18

Volvemos a dividir por 2 el 18.

18/2 = 9

18 = 2*9

reemplazando eso en nuestra descomposición obtenemos:

36 = 2*18 = 2*2*9

9 es impar así que no podemos dividir por 2, pasamos al próximo número primo, el 3.

9/3 = 3

9 = 3*3

Reemplazando eso, obtenemos:

36 = 2*2*3*3

d. 45

no podemos dividir por 2, puesto que es un número impar, así que pasamos al próximo primo, el 3.

45/3 = 15

45 = 3*15

Ahora descompongamos el 15.

15/3 = 5

15 = 3*5  (notar que 3 y 5 son primos)

Reemplazando eso, obtenemos:

45 = 3*15 = 3*3*5

45 = 3*3*5


Related Questions

Sat prep find the value of x in each of the following exercises

Answers

Answer:

155°

Step-by-step explanation:

Consider straight line and complementary angle properties and use following equation:

(90° - (180° - x)) = 180° - (60° + (90° - 35°)) x - 90° = 180° - (60° + 55°)x = 90° + 65°x = 155°

Answer:

x=115 degrees

Step-by-step explanation:

Every bottle of supercharge vitamins contains 50 vitamins. Let v be the total number of vitamins and let b be the number of bottles.

Answers

Answer:

The answer is "[tex]v = \frac{50b}{v} = 50 \times b[/tex]".

Step-by-step explanation:

A single bottle of supercharging includes the equivalent of 50 vitamins.

Number of vitamins v = Total number of vitamins

b = the number of bottles that were used

Because each bottle contains one vitamin, you should multiply this total number of bottles (b) by the total amount of vitamins (50 vitamins).

[tex]v = \frac{50b}{v} = 50 \times b[/tex] so, Both are the same.

Answer:

i just did it- here ya go

Step-by-step explanation:

Use the parabola tool to graph the quadratic function f(x)=(x−5)2+1 . Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.

Answers

Answer:

Vertex (5, 1)

Example of second point (4, 2)

Step-by-step explanation:

THe equation given is in vertex form so it will be easy to find the vertex

(x-5)^2+1

Vertex is at h,k and vertex form is y = a(x−h)^2 + k

x coordinate will be 5

y coordinate will be 1

vertex - (5, 1)

You can plot a second point by plugging in any number into the x or y

For example, if you set x to be 4,

(4-5)^2+1

1^2+1

1+1=2

for f(x)= -4x + 5, find f(x) when x = -2.

Answers

Answer:

13

Step-by-step explanation:

f(x)= -4x + 5

Let x = -2

f(-2) = -4(-2) +5

      = 8+5

     = 13

Step-by-step explanation:

x = - 2

f ( x ) = - 4x + 5

f ( - 2 )

= - 4 ( - 2 ) + 5

= 8 + 5

= 13

1+1+7+9+9+999999999999=?

Answers

Answer:

1000000000026

Step-by-step explanation:

i hope this helps!!!!!

Anybody know how to do the last 2. Pls its due in the morning!

Answers

19°

The unknown angle be x

x=59°(Exterior opposite angles..

20:-

If unknown angle be x

[tex]\\ \sf\longmapsto x+76=180[/tex]

[tex]\\ \sf\longmapsto x=180-76[/tex]

[tex]\\ \sf\longmapsto x=104°[/tex]

Best answer gets brainliest and 5 stars

Answers

Answer:

No, because 6² + 8² ≠ 12²

Step-by-step explanation:

In a right angled triangle,

Perpendicular² + Base² = Hypotenuse² (pythagoras theorem)

But in the given triangle; 6² + 8² ≠ 12²

36 + 64 ≠ 144

100 ≠ 144

Perpendicular² + base² ≠ hypotenuse²

Thus the given triangle is not right angled.

9/7 = please answer me​

Answers

Answer:

[tex] \frac{9}{7} = 1.2857 = 1 \frac{2}{7} [/tex]

Answer:

Step-by-step explanation:

[tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\displaystyle\ \Large \boldsymbol {\frac{9}{7}=1\frac{2}{7} \ \ or \ \ 1.(28571)}[/tex]

Will Mark Brainlest Help please!!!​

Answers

Answer:

hi how are u I am fine by the way I hope that I dont know the answers

Hello! I have an algebra 1 dba tomorrow (flvs). I am just a little nervous and want to be a little more prepared. Does anybody know what questions I will be asked? Btw this is for algebra 1 module 4. Thank you :)

Answers

Answer:

Im not sure what is in the algebra 1 module 4 but for algebra 1 you should study how to graph equations, solve system of equations with substitution and elimination. those topics, at least for e, have been a little tricky

Step-by-step explanation:

1/5 of a certain number is added to 5½ the same as when ⅙ of the number that is subtracted from 30⅖find the number​

Answers

Step-by-step explanation:

1%2F5n + 51%2F5 = 302%2F5 - 1%2F6n

make the 3rd term an improper fraction

1%2F5n + 51%2F5 = 152%2F5 - 1%2F6n

multiply equation by 30, cancel the denominators, resulting in:

6n + 6(51) = 6(152) - 5n

6n + 306 = 912 - 5n

6n + 5n = 912 - 306

11n = 606 is the number

n = 606/11

n = 55 1/11

Answer:

68

Step-by-step explanation:

let unknown number be x

⅕x + 5½= 30⅖ - ⅙x

⅕x + 11/2= 152/5 - ⅙x

collect like terms

⅕x+⅙x= 152/5 - 11/2

[tex] \frac{11}{30}x = \frac{249}{10} [/tex]

cross multiply

30 * 249=(11 * 10)x

7470=110x

x=7470/110

x= 68

Below are two different functions, f(x) and g(x). What can be determined about their slopes? f(x)= 4x + 2 The function g of x going through 0, negative 2 and 1, 3 (1 point) The function f(x) has a larger slope. The function g(x) has a larger slope. They both have the same slope. The relationship between slopes cannot be determined.

Answers

Answer:

g(x) has the larger slope.

Step-by-step explanation:

f(x) = 4x + 2

- so its slope = 4.      ( from general form y = mx + c where m = slope).

The slope of g(x) = (3 - (-2) / (1 - 0)

= 5.

Someone help me on this, thats my illustration for it its a lil long

Answers

The uppercase letters are the angles, while the lowercase letters are the sides. We have side 'a' opposite angle A, side b opposite angle B, side c opposite angle C.

We have this given info:

A = 25a = 13.2b = 25.5

Let's use the law of sines to find angle B

sin(B)/b = sin(A)/a

sin(B)/25.5 = sin(25)/13.2

sin(B) = 25.5*sin(25)/13.2

sin(B) = 0.81642164

B = arcsin(0.81642164) or B = 180 - arcsin(0.81642164)

B = 54.72817392 or B = 180 - 54.72817392

B = 54.72817392 or B = 125.27182608

When rounded to the nearest whole degree, we get B = 55 or B = 125.

However, I'll use the slightly more accurate values of B for the next two sections.

---------------------------------------

Let's consider the case that B = 54.72817392

This would have to mean

A+B+C = 180

C = 180-A-B

C = 180-25-54.72817392

C = 100.27182608  which rounds to C = 100

Through the law of sines we can say

c/sin(C) = a/sin(A)

c = sin(C)*a/sin(A)

c = sin(100.2718 2608)*13.2/sin(25)

c = 30.73327084 which rounds to c = 30.7

One solution is

A = 25, B = 55, C = 100

a = 13.2, b = 25.5, c = 30.7

As you can probably guess, the phrasing "solve the triangle" means find all sides and angle measures.

---------------------------------------

Now we'll consider the case that B = 125.27182608

We follow the same steps as the previous section

A+B+C = 180

C = 180-A-B

C = 180-25-125.27182608

C = 29.72817392 which rounds to C = 30

and

c/sin(C) = a/sin(A)

c = sin(C)*a/sin(A)

c = sin(29.72817392)*13.2/sin(25)

c = 15.48842618 which rounds to c = 15.5

The other solution is

A = 25, B = 125, C = 30

a = 13.2, b = 25.5, c = 15.5

Check out the diagrams below.

which is the graph of g(x) = sqrt x-16

Answers

Answer:

Step-by-step explanation:

I am not sure if you are asking for the graph of

√(x-16) that has a x intercept at (16,0)

or

√ x -16 that has a y intercept at (0, -16)

Which of the following is true about the sequence graphed below? (and Why)

Options:

• The sequence is arithmetic because the terms have a common difference.
• The sequence is arithmetic because the terms do not have a common difference.
• The sequence is not arithmetic because the terms have a common difference.
• The sequence is not arithmetic because the terms do not have a common difference.

Answers

Answer:

Step-by-step explanation:

a₂ = 9

a₃ = a₂-1.5

a₄ = a₃-1.5

a₅ = a₄-1.5

etc.

The terms have a common difference of -1.5, so the sequence is arithmetic.

Answer:

Step-by-step explanation:

The common difference is a y-thing. It looks like the difference in the y-values of each of these points is -1.5. That means that this is an arithmetic sequence because the common difference is consistently -1.5. In fact, the whole equation can be determined to be

[tex]a_n=-1.5n+12[/tex]

Answer problem below

Answers

9514 1404 393

Answer:

  17.078 square units

Step-by-step explanation:

The area of a segment is given by the formula ...

  A = 1/2r²(θ -sin(θ)) . . . . where θ is in radians

The angle θ is 48°, or π(48°/180°) radians = 4π/15 radians.

Then the segment area is ...

  A = (1/2)(19²)(4π/15 -sin(48°)) = 17.078 . . . square units

Round 332.749 to:
tens
and
hundredths

Answers

Answer:

To the nearest ten, 330 would be the answer

To the nearest hundredth, the answer would be 332.75

Step-by-step explanation:

I'm not sure if you meant tenths or hundred, but let me know if this is right or wrong :)

Tristan wants to build a square garden in his backyard that will cover an area of 75 ft.² a person has 32 feet of material for the parent perimeter of the garden does he have enough explaine

Answers

Answer:

your try this is not the named above the new one in my case I can you tell the truth be the first and foremost is not in any form is

Step-by-step explanation:

ydu is not working in the past two days in my head of my head to be in town on your phone is to

Material of 32 feet with the person is not sufficient to cover the square garden.

Tristan wants to build a square garden having area = 75 square feet

Since, Area of a square is given by the expression,

Area = (Side)²

By substituting the value of area in the expression,

75 = (Side)²

√75 = √(Side)²

5√3 = Side

Side = 8.66 feet

Since, perimeter of a square is given by the expression,

Perimeter of a square = 4(side)

Therefore, Perimeter of the square garden = 4(8.66)

                                                                        = 34.64 feet

A person has a material of length = 32 feet

If the length of the material is enough to cover the square field,

Length of the material ≥ Perimeter of the garden  

32 feet ≥ 34.64 feet

Which is false.

      Therefore, material is not of enough length to cover the square garden.

Learn more,

https://brainly.com/question/10824107

which is the equation of the line with slope 0 passing through the point (-1,-2)?

Answers

The answer is A.

Because it goes 2 down

If g(x) = 2(x − 4), find the value of x if g(x) = 20

Answers

Answer:

x=14

Step-by-step explanation:

g(x) = 2(x − 4)

Let g(x) = 20

20 = 2(x − 4)

Divide each side by 2

20/2 = 2(x-4)/2

10 = x-4

Add 4 to each side

10+4 = x-4+4

14 =x

our of 1000 new born
babies, there are 514
boys, what will be the
empirical probability
the newly born baby is
(i) a boy (ii) a girl​

Answers

Look a view at this picture

Juan Sanchez, an inventory clerk for a lumber yard, often rounds inventory figures for easier handling. Round the number from the inventory list to the nearest ten.
a. grade 1 oak 519 ft.
b. grade 2 oak 795 ft.
c. grade 1 pine 323 ft.
d. grade 2 pine 477 ft. Appe​

Answers

Answer:

a. grade 1 oak 519 ft.   520

b. grade 2 oak 795 ft.   800

c. grade 1 pine 323 ft.    320

d. grade 2 pine 477 ft.     480

which inequality is represented on the number line shown?

Answers

Answer:

A

Step-by-step explanation:

b/ of shaded region can make to closed inequality & it's not closed to make open inequality.

Write the following integers along the maze so they are
increasing from start to finish. The shaded box in the maze will
have the answer to the question.
5, -14, -39, -3, 61, -60, -23, -72, -48, -11, 100, -45, 10,
-57, -1, -29, -64, -37, 0, -65, 74, 98, -28, -7,-63, -49,
--21, -54, 27, 53,-9, -32, -16,35, -30, -18, -52, 86, -46, 42,
-56, -41, -22, -43, 19
START

Answers

Sorry if you can’t read my handwriting but there you go. I did it in pen too so sorry.

Find the missing letter.

Answers

Answer:

The missing letter is ( J )

What is the underlined sentence mean can someone explain

Answers

Step-by-step explanation:

1235

Now when we talk about place values we have ones tens hundreds thousands ten thousands and so on. So when you look at no.1 its place value is ones because 1 is the first value.

So 2 is in tens.

Now the difference of tens and hundreds is tens follows the 2 place value and hundreds the next.

HOPE ITS HELPFUL

Answer:

4544

Step-by-step explanation:

The underlined sentence means that the 2nd and third values must be different, for example

4554 has 5 in the 2nd and 3rd place so cannot be this

4545 and 4544 have 4 and 5 in 2nd/3rd place so this is fine

Since the number is even then it is 4544

. Waipio Rd in Honokaa, Hawaii, is one of the steepest roads in the world. It rises 450 ft over a horizontal distance of 1,000 ft. a. What is the percentage grade of this hill? Round to the nearest tenth of a percent.

Answers

Answer: 50%

Step-by-step explanation:

From the question, we're given the information that Waipio Rd in Honokaa, Hawaii, is one of the steepest roads in the world and that it rises 450 ft over a horizontal distance of 1,000 ft.

Therefore, the percentage grade of this hill will be calculated as the height over the length and this will be:

= 450/1000 × 100

= 45%

= 0.45

= 0.5 to nearest tenth

= 50% to nearest tenth.

Which expression is equivalent to
(4x2x3)(3x*y)2?

Answers

Answer:

48(3xy)

Step-by-step explanation:

(4 * 2 * 3)(3xy)2

24(3xy)2

48(3xy)

PLEASE HURRY

A. 70.8 ft^2
B. 69.1 ft^2
C. 65.8 ft^2
D. 73.6 ft^2

Answers

Answer:

D. 73.6 ft^2

Step-by-step explanation:

Using trigonometry to get our answer: (we can use SAS to find the area)

A = 0.5 * side a (10ft) * side b (16ft) * sin(67)

A = 80 ft * sin(67)

A = 73.64 ft

ASAP PLEASE HELP MEEEEEEEEEEEEEEEEE

Answers

Step-by-step explanation:

Other Questions
The reason why a teacher is more important then a farmer Can I get a three paragraph analysis on human evolution? I need it in like three hours 50 points FOR EASY BRAINLIEST!!! ANSWER ONLY:7.8.9.10 Which sentence is an example of an indirect characterization?Samuel is friendly and loves spending time with his childhood friends. Nilofer helped her mother carry boxes because she is physically strong.Carla fluffed the pillows and put every item in its place.Miguel is a hard worker and always turns in his assignments early. Assume the following macroeconomic variable ( in $ billion) for an economy: Y = national income = Aggregate Expenditures Aggregate Expenditures = Consumption + Investment + Government Spending + Net Export Assuming that the full employment level in $6,000 billion, determine the change in government spending needed to reach full employment. (Hint: calculate the current GDP, then calculate aggregate expenditures using national income of $6,000 and find the difference) Some consumers, like lions, do not eat plants or any other producers. They only eat other animals. How do lions obtain the carbon they need?whoever gets it first gets to be Brainlist How can the Column settings be accessed?Layout tab, Page Setup groupLayout tab, Paragraph groupLayout tab, Arrange groupDesign tab, Document Formatting group cobtxedready.org/assessment/retakeUnitPassessmentid=68643&groupid=91593&studyPlanUnitid=10528185&continuerUnit: Introduction to College Reading and WritingProgressQuestion DOS328The movement of the progress bor may be uneven because questions can be worth more or less (including zero, depending on your answerRead the following paragraph, which is missing a topic sentence:According to the "rare Earth hypothesis," the conditions that support life on Earth are unique, and the odds of similarconditions being found on another planet are close to zero. In contrast, the "mediocrity principle holds that our planet, solarsystem, and galaxy are utterly ordinary, making it likely that life is common elsewhere.Which is the most effective topic sentence for the paragraph?Have you ever looked up at the stars and wondered if anyone was out there looking back?Science fiction assumes that the universe bursts with life, but scientists aren't so sure.Despite many decades of searching with telescopes, space probes, and planetary rovers, we have found no evidence ofextraterrestrial life.There are two opposing viewpoints on the possibility of life existing on other planets. Allen earns $7 an hour to wait tables at a restaurant. In addition, he makes an $8 tip from eachtable. He waited 6 tables and made $104. Which equation(s) below could be used to find thetotal number of hours he worked? How many hours did he work? what is 4 9/6 as a mixed number *K-selected*r-selectedIf a group of (. )species lived together in a small area, the carrying capacity of that area would probablycollapse quickly. Write an equation of a line containing a point (5, 5) and is perpendicular tothe line passing through (5, 3) and (10, 6).A) X/4 + 3y = 10B) -5 X + 3 Y = 40C) 5x + 3 Y= 40D) X + y = 0 Hola, necesito ayuda con este ejercicio. Regalo 70 puntos, 5 estrellas y corazn. Consider a system with seven processes: E, F, G, H, I, J, K and six resources: U, V, W, X, Y, Z. Process E holds U and wants V. Process F holds nothing but wants W. Process G holds nothing but wants V. Process H holds X and wants V and W. Process I holds W and wants Y. Process J holds Z and wants V. Process K holds Y and wants X. Is this system deadlocked?a. Yesb. No The length of a rectangle is three times the width. The area of the rectangle is 108 sq. inches whats the triangles width? Flag A solution of the weak acid, HF, and a solution of the strong acid, HCl, have the same pH. Which solution will require the most sodium hydroxide, NaOH, to neutralize WILL MARK BRAINLIEST!! What Is The 8th Decimal Place Of Pi? Yanni read 24 pages ofa book. One third of the book isstill left to read. How manypages are there in thewhole book? which statement best summarizes the orgins of World War II?Oa. the decision to help rebuild the countries that lost during tWorld War I allowed former military leaders to quickly regain power and reignite old tensions.Ob.authoritarian leaders hoping to bring their countries glory through expansion were largely allowed to seize neighboring territories unchallenged.Oc. chaos following violent nationalist revolutions across Europe and asia erupted into a series of civil wars that spread across the entire globeOd. the rise of the soviet union and the threat of international communism led countries to build up huge millitaries to defend themselves from soviet agression.