show that 21^n, n €N can never ends with 0,2,4,6 and 8​

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]21 ^n = (3 \times 7)^n[/tex]

21 has no 2 in it's prime factorization. So it can never end in 0, 2 , 4 , 6 , 8.

 OR

Odd number raise to any number is always odd, Which does not include 2, 4, 6 , 8.

So [tex]21^n[/tex] does not end with 0, 2, 4 , 6 , 8.


Related Questions

I'm really lost . can somebody plz help ​

Answers

Answer:

7.5

Step-by-step explanation:

Median = middle number in terms of value

To make it easier to identify the middle number lets list the number from least to greatest

1, 4, 4, 7, 8, 8, 10, 15

Now we can simply find the middle number

We notice that there are two middle numbers as there is an even amount of numbers

Those two numbers being 7 and 8

When finding the median, if there are two middle numbers, you simply add the two numbers together and divide the sum by two to get the median.

So median = 8 + 7 = 15 / 2 = 7.5

Answer:

7.5

Step-by-step explanation:

The median of a set of numbers is the middle number, so we have to order them first from least to greatest. The order would be 1, 4, 4, 7, 8, 8, 10, 15. You can see that there are an even number of numbers, so if we take the two numbers in the middle of the order (7 and 8) and add them to get 15 and divide 15 by two, we get an answer of 7.5.

I hope this helped you!

Find the arc length and show work!
- Marking brainliest

Answers

Answer:

87.965 in.

Step-by-step explanation:

1) the formula of full arc is L=2π*r, the formula of the required 7π/4 is:

L=7π/4 *r;

2) according to the formula above:

L=7π*16/4=28π≈87,964594300514210676954014731826 (in).

I need help:)
please ​

Answers

Answer:

it's 5

Step-by-step explanation:

Answer:

r = 5

Step-by-step explanation:

if x and y are proportional then 'y = rx' where 'r' is the constant of proportionality

35 = 7r

60 = 15r

100 = 20r

'r' is 5

At Applebees, the average diner tips the waiter 20% of their total bill. Finn's bill was $66.50. How much money should Finn tip the waiter?

Answers

Answer:

56

Step-by-step explanation:

Answer:

13.3 US$

Step-by-step explanation:

How to find it

Written using the formula: x = 66.50 ÷ 20%

Convert the percent to a decimal.

20% ÷ 100 = 0.2.

X = 66.50 ÷ 0.2.

So 20% of 66.60 is 13.3.

Explain how geographic factors impacted the early river valley civilization.

Answers

Following are the Geographical factors impacted the development of early river valley civilizations:

Ample water resources help them to feed, bath, wash and to do so many domestication works.

River valley means fertile plains, which is so good for agriculture as they can grow lots of different varieties of crops. They didn't have to be depend upon rain.

It helped in transportation, which were used for trading and movement from one place to another.

It protects them from enemy as at a time so many person can't attack over the residing civilization.
The most obvious way is that places with fertile soil and predictable water supplies had an advantage for growing crops, so they could support larger human populations. Many of the first civilizations were in river valleys because of this.

please help explain it step by step​

Answers

Answer:

452 m

Step-by-step explanation:

A warehouse has a height of 8\frac{1}{2}8 2 1 ​ meters, length of 120120 meters, and width of 20\frac{3}{10}20 10 3 ​ meters. What is the volume of the warehouse?

Answers

Answer: [tex]20,706\ m^3[/tex]

Step-by-step explanation:

Given

The warehouse has the following dimension

Height is [tex]h=8\frac{1}{2}\ m[/tex]

[tex]h=\dfrac{17}{2}\ m[/tex]

Length is [tex]l=120\ m[/tex]

Width is [tex]w=20\frac{3}{10}\ m[/tex]

[tex]w=\dfrac{203}{10}\ m[/tex]

Volume of the warehouse is the product of height, length and width

[tex]\Rightarrow V=h\times l\times w\\\\\Rightarrow V=\dfrac{17}{2}\times 120\times \dfrac{203}{10}\\\\\Rightarrow V=20,706\ m^3[/tex]

Therefore, the length of the warehouse is [tex]20,706\ m^3[/tex].

En el autoservicio del barrio reciben al proveedor de gaseosas cada 8 dias,al de lacteos cada 3 dias y al de galletitas cada 12 dias . El 5 de abril fueron los 3. A¿Cuantos dias pasaran para qie se encuentren nuevamente?

Answers

Respuesta:

24 días

Explicación paso a paso:

Para calcular el día en que se volverán a reunir después del 5 de abril; tomamos el mínimo común múltiplo de la cantidad de días de cada visita:

Por lo tanto, tomamos el mínimo común múltiplo de 8, 3 y 12.

Múltiple de:

8: 8, 16, 24, 32, 40, 48

3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30

12:12, 24, 36, 48, 60

El mínimo común múltiplo es 24;

Todos se volverán a encontrar después de 24 días.

5 de abril + 24 días = 29 de abril

If c is the number of cats, which variable expression represents the phrase
below?
The sum of the number of cats and 15 dogs
A. c•15
B. C+15
C. C-15
D.C/15

Answers

B C+15 because Sum means adding
It’s B I had the same question and got it right

5
4.)What function rule models the values in the table?
Х
4
8
12

16
Y
4.
8
12
16
20
a.) Y = -x + 4
b.)Y = x + 4
c.) Y = 4x + 4

Answers

Answer: 8

Step-by-step explanation: 4x4=0

Judging by appearance, classify the figure in as many ways as possible.

Answers

Answer:

A. Quadrilateral, kite

How many roots does this function have in common f(x)=x^2-4x-5

Answers

Hi, the roots are -1 and 5. I don’t really understand your question but i hope this helps :$

A tiny area on a computer chip measures 2.3*10^-3 mm by 1.7*10^-4 mm. About how many times longer is the longer dimension than the shorter dimension? A. 1.35 B. 6 C. 7.4 D. 13.5

Answers

The answer should be C i think.

It wants me to use division, but sadly I am not getting the answers I want with it. Please help!

Answers

Answer:

a. 70 gallons of water were leaked each month.

Step-by-step explanation:

Set up an equation:

Variable x = gallons leaked each month

210/3 = x/1

Cross multiply:

210 × 1 = 3 × x

210 = 3x

Divide by 3 to isolate the variable:

70 = x

The division part is only 210 ÷ 3 = x. I wrote it down this way so you can see how I came to this equation.

Check your work:

210/3 = 70/1

210 × 1 = 3 × 70

210 = 210

Correct!

What are the solutions of the equation (5x − 2)(x + 6) = 0?

A. 0.4, −6
B. no real solution
C. −0.4, 6
D. 2.5, −6

Answers

Answer:

A. 0.4 , -6

Step-by-step explanation:

equate each of them to 0

5x - 2 =0 , x + 6 = 0

5x = 2 , x = 0 - 6

x = 2/5 , x = -6

x = 0.4 , x = -6

Can someone please help with this ? Thanks

Answers

I think the answer is “16”

If f (n)= - 3n + 2, what is the value of f(12) ?

Answers

Answer:

Step-by-step explanation:

f(n)= -3n + 2

to find :f(12)

substitute 12 in place of n

f(12)= -3*12 + 2

f(12)=-36 + 2

f(12)= -34

The value of the  f(12) is equal to -46 where the expression is

f(n) = -3n + 2.

What is an expression?

Any mathematical statement which consist of numbers , variables and arithmetic operations is known as expression. An expression gives some numerical value when we put the value of variables in it.

Here, f(n)= -3n + 2 is the given expression.

So, we can find the value of f(12) by putting n=12 in f(n).

Put n=12 in f(n), we get

          f(12)= (-3)×12 + 2

                 = -48 + 2

                 = -46

Hence, the value of f(12) is -46.

To learn more about expressions click here:

https://brainly.com/question/23940600

#SPJ2

the sum of the two fractions is 9/26. if one of the fraction is 1/13, find the other​

Answers

Answer:

7/26

Step-by-step explanation:

let the other fraction be x

according to the question,

1/13 +x =9/26

x = 9/26 - 1/13

take lcm of the denominator . lcm=26

x = 9*1 - 1*2/26

x = 9-2/26

x=7/26

Factorize x²+7x+10. Show working please

Answers

Answer:

(x + 2)(x + 5)

Step-by-step explanation:

Given

x² + 7x + 10

Consider the factors of the constant term (+ 10) which sum to give the coefficient of the x- term (+ 7)

The factors are + 2 and + 5 , since

5 × 2 = + 10 and 2 + 5 = + 7 , then

x² + 7x + 10 = (x + 2)(x + 5) ← in factored form


A glass is 1/3 full then 40cm3 of orange juice is poured in the glass is now 5/7 full what is the total volume of the glass

Answers

Answer:

1/3 x + 40 = 5/7 x

7x +(21)(40) = 15x

21*40 = 8x

x = 105cm3

Step-by-step explanation:

what's the answer? will give brainliest​

Answers

Answer:

It's 1,3

Step-by-step explanation:

Coordinate plane and x is 1 and y is 3

Answer:

(1,3)

Step-by-step explanation:

The spot where both lines intersect is the solution to the system of equations.

Hope that this helps!


Convert y + 2 = 3/2(x – 4)
to general form.

Answers

Answer:

3x − 2y = 16

Step-by-step explanation:

y + 2 = 3/2(x – 4) in standard form is 3x - 2y = 16

Hope this helps uwu

Find the sum. Express your answer in simplest form. 9a^2-5/b^2+2 + -2a^2+4/b^2+2

Answers

Answer:

Step-by-step explanation:

[tex]\frac{9a^{2}-5}{b^{2}+2}+\frac{-2a^{2}+4}{b^{2}+2}=\frac{9a^{2}-5-2a^{2}+4}{b^{2}+2}\\\\=\frac{9a^{2}-2a^{2}-5+2}{b^{2}+2}\\\\=\frac{7a^{2}-3}{b^{2}+2}[/tex]

(2a divided by 7) - (a-4)

Answers

Answer:

a=28/5 or 5.6

Step-by-step explanation:

2a/7=a-4

Multiple both sides of the equation by 7

2a=7a-28

Subtract 7a from both side

2a-7a=-28

Like Term

-5a=-26

Divide -5 from both side

a= 5.6

In a carnival game, players get 5 chances to throw a basketball through a hoop. If 7 out of 20 players made all 5 baskets, how many players out of 400 would you expect to make all 5 baskets?

Answers

Answer:  140

=====================================================

Work Shown:

7/20 = 0.35 = 35% of the 20 players made all five baskets.

If this trend holds up, then we should expect 35% of the 400 people to make all five baskets.

35% of 400 = 0.35*400 = 140

We expect about 140 people will make all five baskets.

Note how 140/400 = 0.35 = 35%

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

Through another alternative method, we can solve like this

7/20 = x/400

7*400 = 20*x ... cross multiply

2800 = 20x

20x = 2800

x = 2800/20 ... dividing both sides by 20

x = 140 which is the same result as before

140

XxxxxxxxxxxxxxxxxxxxxxxxxxxxxxX

125.315 to two significant figures

Answers

Answer: 130

Step-by-step explanation:

The five rounds up making it 130

An office manager buys 34 chairs for the new office. Each chair cost $205. What is the total amount the office manager pays for chairs?

Answers

Multiply the number of chairs by the price of the chair:

34 x 205 = 6,970

Total spent = $6,970

25x + 22x + 9 = 180.......

Answers

[tex]\sf\purple{The\:value\:of\:x\:is\:3.638.}[/tex] ✅

Step-by-step explanation:-

[tex]25x + 22x + 9 = 180 \\ ⇢ 47x = 180 - 9 \\ ⇢ 47x = 171 \\ ⇢ x = \frac{171}{47} \\ ⇢ x = 3.638[/tex]

To verify:-

[tex]25 \times 3.638 + 22 \times 3.638 + 9 = 180 \\ ⇢ 90.95 + 80.036 + 9 = 180 \\ ⇢ 180 = 180 \\ ⇢ L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]

PLEASE I NEED THE ANSWER DON'T IGNORE MY QUESTION!!!

Answers

Answer:

[tex]so \: area = \pi \times {r}^{2} \\ = \pi \times {3}^{2} \\ = 9\pi \: {units}^{2} [/tex]

If X = 4 units, Y = 10 units, and h = 9 units, what is the area of the trapezoid shown above?

Answers

Step-by-step explanation:

hope the picture above help u to understand:)

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