Write the cubes of 5 natural numbers which are of the form 3n + 1 (eg.4,7,10…)and verify the following
"The cube of a natural number of the form 3n + 1 is a natural number of the
Same form
in when divided by 3 it leaves the remainder 1'

Answer:

Step-by-step explanation:

ab² + 2a²b + a³ = a(b² + 2ab + a²)

Here variable 'a' is common in all the terms. HCF = a

2) 2ab² = 2 * a * b *b

   4a²b = 2 * 2 *a * a * b

6a³        = 2 * 3 * a * a * a

HCF = 2a

2ab² - 4a²b - 6a³ = 2a(b² - 2ab - 3a²)

Answer:

13. 150 degrees

14. 55 degrees

15. 63 degrees

16. 325 degrees

Step-by-step explanation:

Answer:

Perpendicular bisector - A line that bisects another line into two equal halves so that four right angles are created.

Cylinder - A 3D solid with circles as its bases.

Plane - A flat, 2D surface that extends infinitely.  

Regular Polygon -  A polygon where all angles and all sides are equal  (ex. square, pentagon, triangle).

Answer:

Here is your ans. hope this helps you.

Answer:

There was 9 oranges and 12 apples in the original basket

Step-by-step explanation:

3:4

9:12

subract 6 oranges and add 6 apples

3:18

divide by 6

1:6

Answer:

[tex] {a}^{2} + {b}^{2} \\ a = 3 \\ b = 4 \\ {3}^{2} + {4}^{2} \\ = 9 + 16 \\ = 25 \\ thnk \: you[/tex]

Answer:

Step-by-step explanation:

Answer:

Associative Property Of Multiplication

Step-by-step explanation:

The associative property says that the way numbers are grouped doesn't change the answer of the problem.

Answer:

3x+8

Step-by-step explanation:

2x+bc=5x+8

bc=5x-2x+8

bc=3x+8

Answer:

GI=15

Step-by-step explanation:

GI=HI+GH

GI=12+3= 15

I hope I helped you^_^

Hi! I'm happy to help.

To solve this we need to know what is happening. This line segment was split into two parts by H. GH (part 1) and HI (part 2).

These two parts together equal the total length of the line segment. We learn that GH is 3, and HI is 12.

12+3=15

Now, we know that GI has a length of 15.

I hope this was helpful, keep learning! :D

Answer:

x =1.28

Step-by-step explanation:

4w=5.12

Divide each side by 4

4w/4 = 5.12/4

x =1.28

Answer:

Step-by-step explanation:0.3

Step-by-step explanation:

12/100 I think from a while ago.

Answer:

your answer is 12/100

but as a percent, it is 1200%

Step-by-step explanation:

Answer:

z = 3

Step-by-step explanation:

4 (z + 5) = 32

4z + 20 = 32

4z = 12

z = 3

The solution is: the value of z is : z = 3, when 4 (z + 5) = 32 is solve for z.

Here, we have,

given that,

the expression is: 4 (z + 5) = 32.

now, we have to solve it for z, to get the value of z.

so, we have,

4 (z + 5) = 32

4z + 20 = 32

4z = 12

z = 3

so, simplifying we get, the value of z is : z = 3.

Hence, The solution is: the value of z is : z = 3, when 4 (z + 5) = 32 is solve for z.

To learn more on simplification click:

brainly.com/question/28996879

#SPJ6

Answer:

705.92

Step-by-step explanation:

hope it's help

#MASTER GROUP

# FIRST MASTER

# PHILIPPINES

Answer:

139,999

Step-by-step explanation:

If the digit sum of n is divisible by 5, the digit sum of n+1 can't physically be divisble by 5, unless we utilise 9's at the end, this way whenever we take a number in the tens (i.e. 19), the n+1 will be 1 off being divisble, so if we take a number in the hundreds, (109, remember it must have as many 9's at the end as possible) the n+1 will be 2 off being divisble, so continuing this into the thousands being three, tenthousands being 4, the hundred thousands will be 5 off (or also divisble by 5). So if we stick a 1 in the beginning (for the lowest value), and fill the last digits with 9's, we by process of elimination realise that the tenthousands digit must be 3 such that the digit sum is divisible by 5, therefore we get 139,999

Notice that a number is only divisible by 5 if it ends in 5 or 0.

Only using this, we will find that the number is 49,999

Suppose we wanted the sum of the digits to end in 5, then we could have something like:

23

2 + 3 = 5

if we add 1, we get:

23 + 1 = 24

2 + 4 = 6

This will happen always.

instead, if we use a 0 as the last digit of the sum, we get:

For example, the simplest one:

19

we have:

1 + 9 = 10

10 is divisible by 5.

if we add 1, we get:

19 + 1 = 20

2 + 0 = 2

2 is not divisible by 5.

We have a  problem again, but this time you can see that the whole structure of the number does change. So we should keep trying with ones and nines.

Now we need to modify our number to the point we get n + 1 to be divisible by 5.

if we add a 9 to the right side of our number, we get:

199

1 + 9 + 9 = 19

clearly, not divisible by 5.

Here we need to add a 1 at the left side to make it divisible by one, so we get:

1199

1 + 9 + 1 + 9 = 20

this is divisible by 5.

now let's add 1:

1,199 + 1 = 1,200

1 + 2 = 3

3 is not divisible by 5.

Now, if you look at the two numbers we used, we can see that:

for 19, the sum of the digits + 1 gave us a 2.

for 1,199, the sum of the digits +1 gave us a 3.

then just let's add two ones and two nines.

We will get:

11,119,999

adding the digits:

1 + 1 + 1 + 1 + 9 +9 +9 +9 = 40

is divisible by 5.

Adding one to our number, we can get:

11,119,999 + 1= 11,120,000

Adding the digits:

1 + 1 + 1 + 2 + 0 + 0+ 0+ 0 = 5

divisible by 5.

Now, we can group the ones together, so instead of the number 11,119,999

we can have 49,999, which is way smaller.

Adding the digits, we get:

4 + 9 + 9 + 9 + 9 = 40

And adding one to our number, we get:

49,999 + 1 = 50,000

Adding the digits:

5 + 0 + 0 +0 + 0 = 5

So we found the smallest number n such that the sum of the digits of n is divisible by 5, and the sum of the digits of n + 1 is also divisible by 5.

If you want to learn more, you can read:

https://brainly.com/question/21416852

Answer:

(-3x)³ = -81x³

so answer wud be -81x cubed

Answer:

y = 3 suh slid este ob cine este a, b și g au nevoie de acel kinfo pentru a termina

Step-by-step explanation:

bah de fort

Answer:

D

Step-by-step explanation:

f(x) = x^3 + 2x^2 + 4 for x<0

2^x - 4 for x >0

Answer:

4 integers

Step-by-step explanation:

4/3=1.33 and 26/5=5.2

The integers lying between these two rationals are 2, 3, 4 and 5.

Answer:

[tex]0.4651 \times {10}^{1} [/tex]

Answer:

Step-by-step explanation:

Parallel lines have same slope

Slope = [tex]\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]\dfrac{-3-y}{2-5}=\dfrac{4}{3}\\\\\\\dfrac{-3-y}{-3}=\dfrac{4}{3}\\\\\\-3-y=\dfrac{4}{3}*(-3)\\\\\\[/tex]

-3-y = 4*(-1)

-3 - y = -4

- y = - 4 + 3

-y = -1

Divide both sides by (-1)

y = 1

Answer.

20 km.

Hope that helps...

Step-by-step explanation:

Notice the two horinzontal lines. They are parallel lines as they will never cross each other.

Notice the slant line. That is called a transversal as it crosses through both the parallel lines.

The transversal split the parallel lines into multiple angles.

Look at Angle X and the angle on the upper right. They are vertical angles because they are formed by intersecting lines so they are equal to each other

Look at Angle X and the angle that is on the right of Angle 70, they are alternate interior angles as they are formed by the transversal crossing through the two parallel lines. They are equal to each other. They form a Z if you connect a them.

The upper right angle and bottom left angle are alternate exterior angles. They are formed by the transversal. They are equal to each other. They form a semi circle of you connect them.

The bottom left angle and Angle X are Corresponding Angles. They form a C shape if you connect them. They are formed by the transversal and are congruent to each other.

Angle X and 70 are same side consecutive angles. They are right next to each other on the same side of each other. They are supplementary. which means they form 180 degrees when added.

so using this info,

[tex]x + 70 = 180[/tex]

[tex] x = 110[/tex]

Answer:

225 ft^2

please give branliest if you do so please

Step-by-step explanation:

(12*10)+(5*5)+(8*10)

120+25+50

225

Hey there! I'm happy to help!

Let's think of this as one giant rectangle. We see that a little bit is cut out, but we will ignore that for now.

The width of this rectangle is 10 ft.

The length is 12+5+8 feet which is 25 feet. (we have the lengths of 12 and 8 on the top and the length of 5 is below, but it matches the missing length at the top).

We multiply the width by the length to find the area of this huge rectangle.

10*25=250

Now, we need to cut out that square that isn't actually part of the room. We see that it's dimensions are 5 ft by 5 ft, so 25 ft. All we have to do is subtract this from the huge rectangle we calculated.

250-25=225

So, Mary needs 225 square feet of carpet.

Have a wonderful day and keep on learning! :D

Answer:

x = 8

Step-by-step explanation:

-4 + 8x = 6x + 12

Subtract 6x from both sides

-4 + 2x = 12

add 4 to both sides

2x = 16

x = 8

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Step-by-step explanation:

I guess you mean √13.

3^2 = 9 and 4^2 = 16 so the square roots is between 3 and 4.

3.5^2 =  3*4 + 0.25 = 12.25 so it looks like its about 3.6.