cho a,b,c là các số nguyên. Chứng minh rằng nếu a mũ 3 + b mũ 3 + c mũ 3 chia hết cho 9 thì một trong các số a , b ,c chia hết cho 3

Answers

Answer 1

Answer:

let a, b, c be integers. Prove that if a to the power 3 + b to the power 3 + c to the power 3 is divisible by 9, then one of the numbers a , b , c is divisible by 3

Step-by-step explanation:


Related Questions

Help I’ll mark you brainlist

Answers

Answer:

24.0

Step-by-step explanation:

do 34sin(45) to solve for x


A department store marked down all of its summer clothing 23%. The following week the remaining items were marked down again
15% off the sale price. When Jorge bought two tank tops on sale, he presented a coupon that gave him an additional 20% off. What
percent of the original price did Jorge save?

Answers

Answer:

58%

Step-by-step explanation:

Find the distance from point $A\left(15,-21\right)$ to the line $5x+2y\ =\ 4$ . Round your answer to the nearest tenth.

Answers

The distance from point (15,-21) to the line 5x + 2y = 4 is 27.5 units

Given the coordinate (15, -21) and the line 5x + 2y = 4

In order to get the point on the line 5x + 2y =4, we can a point on the line

Let x = 0

5(0) + 2y = 4

2y = 4

y = 2

The point (0, 2) is on the line.

Find the distance between the point (15, -21) and (0, 2) using the distance formula

[tex]D=\sqrt{(2+21)^2+(0-15)^2} \\D=\sqrt{23^2+15^2}\\D=\sqrt{754}\\D= 27.46units[/tex]

Hence the distance from point (15,-21) to the line 5x + 2y = 4 is 27.5 units

Learn more here: https://brainly.com/question/22624745

dur rn help pls ))))))))))

Answers

Answer:

A is correct good luck bud

Step-by-step explanation:

How have vaccines impacted health?


A: Vaccines have only made a little progress at preventing most diseases.
B: Vaccines are effective on some people but not others.
C: Large numbers of people have had allergic reactions to vaccines
D: Some diseases have almost completely disappeared



Answers

Answer:

D some disease have almost completely disappeared

B. Or D. Would be your answer. The reason why I would say B. Is because people have different immune systems which makes your body reject the vaccine contents. But on the other hand for D. Is that it they have made a lot of pretty bad sicknesses almost disappear such as chicken pox.

2. Solve the equation and check.
8x-8= 7 + 3x
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

Answers

the answer is x=3 i believe

Evaluate 11/6 - 2/8=

Answers

Answer:

19/12

Step-by-step explanation:

WILL GIVE BRAINLEST! HELP ME ASAP

These tables of ordered pairs represent some points on the graphs of lines s and t.
Which system of equations is represented by lines s and t?

5x−2y=−157x+4y=20

3x+5y=−185x−9y=25

x+4y=−89x−y=21

2x−y=−142x+y=6

Answers

Answer:

Step-by-step explanation:

Line s

slope m = Δy / Δx =  (22 - 4) / (4 - (-5)) = 18/9 = 2

y = mx + b

22 = 2(4) + b

b = 14

y = 2x + 14

which can be rearranged to

2x - y = -14

Line t

slope = ( -4 - 14) / (5 - (-4)) = -18/9 = -2

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

b = 6

y = -2x + 6

2x + y = 6

2x − y = −14             2x + y = 6

PLEASE HELP!!
Guys please help i need this

Answers

Answer:

Because they are both base angles of isosceles triangles

Which fraction converts to a repeating decimal number?

Answers

Answer:

1/3

Step-by-step explanation:

A cone with a radius of 3 feet and a height of 5 feet is placed on top of a cylinder as shown. Find the volume of the total figure in terms of pi

Answers

Answer:

Step-by-step explanation:

v=1/3πrh

v=1/3×π×3×5=5π

The volume of the combined solid is given as 69π ft³.

What is a right circular cylinder?

A right circular cylinder is a three dimensional figure having its base and top as a circle and the height is perpendicular to circular base. The volume is given as V = πr²h.

The volume of the combined solid is given as,

Volume of cone + Volume of cylinder

The expression can be written as,

1/3πr²h + πr²H

Where h and H are the heights of cone and cylinder respectively.

Plug r = 3, h = 5 and H = 6 to obtain as,

⇒ 1/3π × 3² × 5 + π × 3² × 6

⇒ 69π

Hence, the volume of the combined solid is obtained as 69π ft³.

To know more about cylinder click on,

brainly.com/question/16134180

#SPJ2

what is the perimeter of khgj?

Answers

Answer:

  58 in

Step-by-step explanation:

The fact that the rectangles are congruent means both have a length of 18 in and a width of 11 in. The perimeter is ...

  P = 2(L +W)

  P = 2(18 in + 11 in) = 2(29 in)

  P = 58 in

The perimeter of KHGJ is 58 inches.

(1/2)power 5=?? please help

Answers

[tex] \frac{1}{2} \: to \: the \: power \: of \: 5 \: is \: \frac{1}{32} or \: 0.03125 [/tex]

Answer:

[tex] \ {\boxed{ \tt ( \frac{1}{2}) ^{5} = \frac{1}{32} }}[/tex]

Step-by-step explanation:

[tex] \\ \tt( \frac{1}{2} )^{5} [/tex]

[tex] \\ \tt= \frac{ {1}^{5} }{ {2}^{5} } [/tex]

[tex] \\ \tt = \frac{1 \times 1 \times 1 \times 1 \times 1}{2 \times 2 \times 2 \times 2 \times 2} [/tex]

[tex] \\ \tt = \frac{1}{32} [/tex]

Can anyone help! Please!

Determine whether the inverse of F(x) is a function.

Answers

Answer:

Step-by-step explanation:

A function f(x) has an inverse, or is one-to-one, if and only if the graph y = f(x) passes the horizontal line test. A graph represents a one-to-one function if and only if it passes both the vertical and the horizontal line tests.

2-2 this is a freebie for points guys

Answers

Answer:

2-2=0

Step-by-step explanation:

You have 2 cookies and you give it to 2 friends.

Answer:

0

Step-by-step explanation:

According to the Laws of Physics, yeah I don't wanna try explaining this

Last year at a certain high school, there were 100 boys on the honor roll and 60 girls on the honor roll. This year, the number of boys on the honor roll decreased by 11% and the number of girls on the honor roll decreased by 10%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).​

Answers

Answer:

-11 boys -6 girls

Step-by-step explanation:

Answer this please not links-

Answers

Answer:

I believe it's 9 hope this helps

What is the difference between (2.4x10^8) and (9.2x10^6)

Answers

Answer:

  2.308×10^8

Step-by-step explanation:

Your calculator can tell you what the difference is.

  2.4×10^8 -9.2×10^6 = (2.4 -0.092)×10^8 = 2.308×10^8

_____

Additional comment

If this is a problem where you're expected to round the answer to an appropriate number of significant figures, you will notice the largest contributor has a resolution of 0.1×10^8. That will be the resolution required in the answer: 2.3×10^8.

3. Because it is so popular, a store owner increases the cost of a toy by $3.49. The new cost of the toy is $9.84.
(a) Write an equation that represents the situation. Use c to represent the original cost of the toy.
(b) Solve the equation using a related equation. Show your work.
(c) What does the solution of the equation represent? plz answer

Answers

a) 3.49+c=9.84 (b) 9.84-3.49=6.35 (c) he increased the original price of the toy by adding $6.35

Answer:

a) 3.49+c=9.84 (b) 9.84-3.49=6.35 (c) he increased the original price of the toy by adding $6.35. Just like jpforpresident146788 said.

Help pls


A hot-air balloon is 1550 feet off the ground and its altitude is slowly changing at a constant rate of −7 1/2 feet per second.

How many seconds, s, will it take for the balloon to drop to below 465 feet?

Drag and drop a symbol and value to correctly complete the solution to this inequality.

Answers

Answer:

s> 144 2/3

Step-by-step explanation:

I took the test in k12 and i got it right so yea !

Answer: the other person was right

Step-by-step explanation:

I want to know what the letter a is , and how to do it.1/3 + a 5/4

Answers

STEP

1

:

           5

Simplify   —

           4

Equation at the end of step

1

:

  1          5

 (— +  a) -  —  = 0

  3          4

STEP

2

:

           1

Simplify   —

           3

Equation at the end of step

2

:

  1          5

 (— +  a) -  —  = 0

  3          4

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  3  as the denominator :

        a     a • 3

   a =  —  =  —————

        1       3  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

1 + a • 3     3a + 1

—————————  =  ——————

    3           3  

Equation at the end of step

3

:

 (3a + 1)    5

 ———————— -  —  = 0

    3        4

STEP

4

:

Calculating the Least Common Multiple :

4.1    Find the Least Common Multiple

     The left denominator is :       3

     The right denominator is :       4

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

3 1 0 1

2 0 2 2

Product of all

Prime Factors  3 4 12

     Least Common Multiple:

     12

Calculating Multipliers :

4.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Deniminator by  L_Deno

   Denote the Right Multiplier by  R_Deno

  Left_M = L.C.M / L_Deno = 4

  Right_M = L.C.M / R_Deno = 3

Making Equivalent Fractions :

4.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

  L. Mult. • L. Num.      (3a+1) • 4

  ——————————————————  =   ——————————

        L.C.M                 12    

  R. Mult. • R. Num.      5 • 3

  ——————————————————  =   —————

        L.C.M              12  

Adding fractions that have a common denominator :

4.4       Adding up the two equivalent fractions

(3a+1) • 4 - (5 • 3)     12a - 11

————————————————————  =  ————————

         12                 12  

Equation at the end of step

4

:

 12a - 11

 ————————  = 0

    12  

STEP

5

:

When a fraction equals zero :

5.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 12a-11

 —————— • 12 = 0 • 12

   12  

Now, on the left hand side, the  12  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  12a-11  = 0

Solving a Single Variable Equation:

5.2      Solve  :    12a-11 = 0

Add  11  to both sides of the equation :

                     12a = 11

Divide both sides of the equation by 12:

                    a = 11/12 = 0.917

a = 11/12 = 0.917

                 

Answer:

11/12

Step-by-step explanation:

You want to subtract 5/4 minus 1/3 but you cant so you have to find the greatest denominator first which would be 12 because 3x4=12.

Since you multiplied 4x 3 to get 12 then you will multiply the 5 by 3 and the 1 by 4 to get this -> 5/4= 15/12     1/3= 4/12

Then subtract 15/12- 4/12= 11/12

a=11/12

I'll give brainiest whoever answers first

Answers

aight slide it here big boy

solve pls brainliest

Answers

Answer:

Mixed Number = 2 9/10

Improper Fraction = 29/10

Step-by-step explanation:

Mixed Number = 29/10 = 2 9/10

Improper Fraction = 29/10

How to expand
5(2m)^3

Answers

Answer: 40m^3

Solution steps:

1. Expand (2m)^3.

5 x 2^3 m^3

2. Calculate 2 to the power of 3 to get 8.

5 x 8m^3

3. Multiply 5 and 8 to get 40.

40m^3

For all horizontal lines the range is

Answers

When you have a function where y equals a constant, your graph is a truly horizontal line,

In that case, the range is just that one and only value. No other possible values can come out of that function! Many other functions have limited ranges.

You get brainist plz

Answers

Answer:

54

Step-by-step explanation:

54

What is the sum of all positive integers n ≤ 20 that satisfy the condition that if n is odd, then n is a multiple of 5? I will give brainliest for the correct answer AND explanation (It is not 20)

Answers

The sum of all positive integers that satisfy the condition as described is; 100

The number set of n is therefore;

n = {1, 2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20}.

According to the question;

If n is odd, then n is a multiple of 5.

The data set therefore includes all odd numbers; This is so because the question says; if n is odd; then n is a multiple of 5.

The sum of all positive integers that satisfy the condition is therefore;

1 + 3 +5 +7 + 9 +11 +13 +15 +17 +19 = 100.

Read more:

https://brainly.com/question/18837188

What is 162 multiplied by 0.967

Answers

The answer would be 156.654

Answer:

Remove the decimals and multiply normally.

162 x 967

156654

Put back in the decimals. In this case, move the decimal point back three spaces from the end.

156.654

:)

Historically, 48% of people have rented their residence. A random sample of 500 people is taken. 260 of them rent (as oppose to own) their residence. A researcher is studying the claim that the percentage of people renting has increased. Compute the value of the test statistic for this hypothesis test. Round your answer to 2 decimal places.

Answers

Answer:

1.79

Step-by-step explanation:

^p = x/n

    = 260/500

    = 0.52

z = p1-p2 / √^p(1-p)/n

  = 0.52 - 0.48 / √0.48x(1-0.48)/500

  = 1.79

How many tiles would be used to make figure five

Answers

attach a pic please
that would help



Other Questions
"On duty at the Courthouse that night was forty-year-old Mathias Schaffer. Schaffer was showing some visitors around the tower when one of them pointed to smoke in the distance. Schaffer glanced at the smoke, but dismissed the sighting. It was just the smoldering embers from the previous night's fire, he assured them. Nothing to worry about.""Several minutes passed before Schaffer looked up from what he was doing and saw flames leaping wildly into the black sky. The light was from a different fire after all; he'd been fooled because this new blaze was almost directly behind the still-flickering remnants of the Saturday October 7 fire."What was the effect of Schaffer dismissing the sighting of smoke? UQuestion The mass production of the automobile and widespread ownership of automobiles mostimmediately led toO greater mobility and movernent to the suburbs amongst middle and upper class familiesjob losses across the transportation industrycalls for safety devices and regulationO a decrease in consumer debtsunoudata to save. Last checked at 9:27 Find the difference between 11/5 and 5/2 on a number line 5.prove for kite abcd above that BD bisects both ABC and ADC6.Given from what we now know from 5, prove that M must be the midpoint of AC Use the graph to determine which statement describes f(x).5.y=f(x)-55--5O A. f(x) does not have an inverse function, because its graph fails thevertical line test.O B. f(x) does not have an inverse function, because its graph fails thehorizontal line test.c. f(x) has an inverse function, because its graph passes thehorizontal line test. Aubree is making different shades of pink paint to use for an art project. A batch of dark pink uses 2.5 cups of red paint and 1.5 cups of white paint. A batch of light pink uses 0.75 cup of red paint with 1.25 cups of white paint. She begins with a gallon of red and a gallon of white paint. How much of each color paint will she have left if she makes a batch of dark pink and light pink every day for a week? what are the reasons why most of the people dont have time for physical activities such as exercise and dancing Which equation represents a proportional relationship? Martina is concerned about her introductory speech for the guest speaker at her banquet. What should Martina keep in mind A scientist fills a container with sea water. The container has dimensions 30 cm x 30 cm x 40 cm The density of sea water is 1020 kg/m. Calculate the mass of the sea water in the container. What can congress do to check the power of the executive? What is the acceleration of a 10 kg pushed by a 5N force Stomata are small openings present on plant leaves. On a hot dry day, the stomatal openings remain closed to reduce the loss of water. Which characteristic of living things is described here?. Use the Distributive Property tosimplify the following:7(y + 3) = Write a letter to your friends telling him about three reason why you want to leave your school to another school 6) Last month, Yaws checking accounthad a balance of Ghc347.20. Since then,Yaws deposited his paycheck ofGhc563.89 and withdrew Ghc478.53.What is Kofi's checking account balancenow? Need only #6 done (Show work) will give brainliest Select the sentence that corrects the error below:He has never saw the movie even though he had read the book last year.O He has never saw the movie even though he read the book last year.O He had never seen the movie even though he had read the book last year.He has never seen the movie even though he read the book last year.O He had never saw the movie even though he has read the book last year. A city has 3 new houses for every 7 old houses. If there are 21 new houses in the city, how many old houses are thereA. 49B. 47C. 52D. 51 what is the measure of line CD. explain