prove that 8^6 +4^11 is divisible by 17. You're supposed to answer it likes this: [blank]*17

Answers

Answer 1

Answer:

262144*17 = 8^6 + 4^11.

Step-by-step explanation:

By using a calculator, we can see that 262144*17 = 8^6 + 4^11. Therefore, 8^6 + 4^11 is divisibly by 17.

Answer 2

Yes, the expression 8⁶ + 4¹¹ is divisible by 17.

And, You can use the fact that 8 is cube of 3 and 4 is square of 2.

The value in the blank space given is 2¹⁸.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

To prove 8⁶ + 4¹¹ is divisible by 17.

Now, We can convert 8⁶ + 4¹¹ in terms of 2 as;

⇒ 8⁶ + 4¹¹

⇒ (2³)⁶ + (2²)¹¹

⇒ 2¹⁸ + 2²²

⇒ 2¹⁸ (1 + 2⁴)

⇒ 2¹⁸ (1 + 16)

⇒ 2¹⁸ × 17

Thus, it is multiple of 17 and thus, divisible by 17.

Hence, The expression 8⁶ + 4¹¹ is divisible by 17.

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Related Questions

Find the area of the WHITE triangles region in square inches.
6 in
8 in

Answers

Answer:

6 in is the answer to this question

2. What is the translation rule to map quadrilateral JKLM to
quadrilateral J'K'L'M'?
Ay
K
.

Answers

Answer:

1 unit left and 4 units down

Can come one help me please :) thank you

Answers

Step-by-step explanation:

Given

[tex]( {x}^{2} ) ^{4} \\ = {x}^{2 \times 4} \\ = {x}^{8} [/tex]

Hope it will help :)

Answer:

X ^8

Step-by-step explanation:

When you raise a power by another power, you multiply the powers. 2*4=8

Point B is on line segment AC. If AB=x+6, BC=x+8 and AC=10, then find the value of x.

Answers

Answer:

x+6+x+8=10

2x+14=10

2x=-4

x= -2

Brian has 8 feet of canvas. He needs 1/4 foot to make a painting.
How many paintings can Brian make?

Answers

Answer:

32 paintings

Step-by-step explanation:

You have to divide 8 by [tex]\frac{1}{4}[/tex]

turn 8 into a fraction by putting a 1 under it, [tex]\frac{8}{1}[/tex], and flip the other fraction, [tex]\frac{4}{1}[/tex]

now, you multiply the fractions

[tex]\frac{8}{1}[/tex] ×[tex]\frac{4}{1}[/tex]= [tex]\frac{32}{1}[/tex], so you get 32 over one, which you can just simplify into 32

Brian can make 32 paintings.

The solution is, Brian can make 32 paintings

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

You have to divide 8 by

turn 8 into a fraction by putting a 1 under it, 8/1 , 4/1 and flip the other fraction,

now, you multiply the fractions

8/1×4/1=32 ,

so you get 32 over one, which you can just simplify into 32

Brian can make 32 paintings.

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please just answer this question​

Answers

Answer:

6 pieces

Step-by-step explanation:

They have a common denominator of 6, so it should be cut into 6 pieces.  Sue would get 3 pieces (half the pan) and Dena would get 2 pieces (one-third the pan)

A single card is drawn at random from a standard 52 card deck.
Work out the following probabilities in their simplest form:
P(6) =
P(not 6) =

Answers

There are 4 "3" cards in a deck of 52 cards, so there is a 4/52 = 1/13 probability of selecting a "3".

If A is an event, then P(A) + P(not A) = 1, so P(not A) = 1 - P(A)

The probability of not selecting a "3" = 1 - probability of selecting a "3" = 1 - 1/13 = 12/13

A player hits the ball 30% of the time. If he gets 450 chances what is the total number of times he will hit the ball

Answers

Answer:

135

Step-by-step explanation:

100% = 450

1% = 4.5

30% = 4.5 x 30 = 135

Marking people as brainlist please help if you know geometry

Answers

Answer:

x=12

Step-by-step explanation:

The diagonals are angle bisectors, so 4x+22 = 6x-2

What is y when x =17

Answers

Answer:

The answer is 30

Answer:

y = 30

Step-by-step explanation:

There are 2 ways to find the answer to this.

#1

The relationship between x and y is y = x+13.

x is 17 so 17+13 would equal y.

17+13 = 30

y = 30

#2

rule for y: y increases by 4

26+4 = ?

26+4 = 30

y = 30

Which voting methods satisfy the Majority Fairness Criterion?

Answers

It is a single-winner voting system criterion used to compare such systems.

Score: 0 of 1 pt
11 of 13 (10 complete)
HW Score: 50%, 6.5 of 13 pts
9.4.45
Question Help
A car rental company charges a daily rate of $25 plus $0.30 per mile for a certain car. Suppose that you rent that car for a day and your bill (before taxes) is $145. How
many miles did you drive?
miles
p
til
fi
t
-
vo
va
(1,1)
More
Enter your answer in the answer box and then click Check Answer
?

Answers

Answer:

3335552255442882283222333

400miles
145-25=120
120/0.30=400

Find the value of. X in the proportion 5/9=x/36

Answers

Answer:

x=20 hope this helps :)

The value of X is 20.

To find this answer, you must first find the least common denominator of both fractions. In this case, the LCD is 36.

Next, you multiply the left side by 4/4. The fraction 4/4 is simply found by dividing the right side denominator (36) by the left side denominator (9). 9 goes into 36 4 times.

5/9 * 4/4 = 20/36.

Thus meaning X = 20. I hope this helps!

How many solutions does the following equation have? 7(y+3)=5y+8 A No solutions B Exactly one solution C Infinitely many solutions

Answers

Answer:

C

Step-by-step explanation:

Answer:

Answer is B

Step-by-step explanation:

7y+21=5y+8

2y=-13

y= -6.5

Use the distributive property to find 3(13+5) written as an equivalent expression.... helpp

Answers

Answer:

the distributive property of 3(13+5)=(3*13)+(3*5)=39+15=54

18 multiple by 3 answer 57

PLS PLS PLS HELP!!! I'LL MARK BRAINLIEST!!!

Answers

Answer:

Its B

Step-by-step explanation:

Mr. Kelsey just opened a T‑shirt shop and is determining what to charge for bundles of shirts. Which table of prices represents a proportional relationship?

Answers

Answer:i may not be right but i think its A

Answer:

B is correct

Step-by-step explanation:

For the function k(x) =Negative StartFraction 1 Over 16 EndFraction x – 8, what is the inverse function k–1(x)?

Answers

Answer:

Step-by-step explanation: it’s D on edge

The inverse function is,

⇒ k⁻¹ (x) = -16 (x + 8)

What is Inverse function?

The inverse function returns the  original value for which a function gave the outputs.

Given that;

The function is,

k (x) = -1/16 x - 8

Now, Find the inverse function as;

k (x) = -1/16 x - 8

Substitute k (x) = y,

y = -1/16 x - 8

Find the value of x in terms of y,

y = -1/16 x - 8

y + 8 = -1/16 x

16 ( y + 8 ) = -x

x = -16 ( y + 8 )

Replace x and y,

y = -16 ( x + 8 )

Thus, The inverse function is,

⇒ k⁻¹ (x) = -16 (x + 8)

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A and B are regular octagons. The scale factor of A to B is 3 : 4. If the perimeter of octagon B is 64 inches, find the perimeter of octagon A

Answers

48. multiply 64 by the scale factor to get 48

Whats the worst zodiac sign

Answers

Answer:

Personal Experience

Step-by-step explanation:

Scorpio

Answer:

In my honest opinion I'd say Leo

SOMEONE PLEASE HELP ME PLEASE SOMEONE PLEASE HELP ME WITH MY HOMEWORK ILL DO ANYTHING FOR HELP

Answers

Answer:

The answer is 8

Step-by-step explanation:

If this answer helped you then please consider marking this as brainliest and like this respone :)

Rolando is 13. In five years, his age will be 3/2 the age of his sister Marisa. How old will Marisa be in three years.

Answers

16 yah lol i know this

How would this triangle be classified?

Answers

Answer:

Isosceles acute

Step-by-step explanation:

2 of the sides are the same and 1 is different therefore it is isosceles. Alol the angles are acute.

HELP HELP HELP HELP HELP PLSSSSSSSS

Answers

Answer:

e

Step-by-step explanation:

WILL MARK BRAINLIEST

Answers

Answer:

36

Step-by-step explanation:

6^2 = 6 × 6

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

6×6 = 36

Answer:

6² = 36

Step-by-step explanation:

6 squared is 6 · 6. Hence, 36.

May god be with you but help me

Answers

Answer:

150

Step-by-step explanation:

because 30 x 5 =150

Answer:

150°

Step-by-step explanation:

Here,

In linear pair we get the rest of its side angle we get is,

30° + x(unknown value) = 180°

=> x = 150°

Now,

Angle 1 = x. [As corresponding Angles]

So , value of 1 is 150° (Ans)

You drink a cup of coffee with 120 mg of caffeine. Each
hour, the caffeine in your system decreases by about
12%. Two hours after you drink the coffee, how much
caffeine will be left in your system?
Round your answer to the nearest hundredth, and
make sure to include units.
Show ALL your work to the left, write your final answer
below!

Answers

Answer:

91.2 mg of coffee left in your system 2 hours from consumption

Step-by-step explanation:

120 x .12 = 14.4

14.4 x 2 = 28.8

120 - 28.8 = ...

91.2 mg

I need you help please

Answers

Answer:

3 3/20

Step-by-step explanation:

so you make the denominator the same for the two numbers shown. I did 20. So 3/5 turns into 12/20 and 1/4 turns into 5/20 (you can do 12 if you like for the denominator also) So now, the equation is 3 12/20 minus 5/20, which i got 3 3/20.

Suppose that an Internal Revenue Service (IRS) representative claims that the average tax deduction for medical care is $1,250, and assume that this variable is normally distributed. A taxpayer who believes that the deduction might be less than $1,250 decides to randomly sample 12 families who have an average deduction of $934 with a standard deviation of $616. a. What are the null and alternative hypotheses? b. What is the value of the test statistic, i.e. t-stat, in this example? Show your work. c. What is the p-value associated with this test statistic? (HINT: you have less than 30 observations so you will need to use t-table to obtain critical values.) d. What can you conclude at the 10-percent level of significance? What can you conclude at the 5-percent level of significance? Explain. (HINT: you have less than 30 observations so you will need to use t-table to obtain critical values.)

Answers

Step-by-step explanation:

We have bar x = 934

S = 616

n = 12

A.

Null hypothesis: h0: u = 1250

Alternative hypothesis: h1: u< 1250

B. To get the t test statistic

T = 934-1250/616/√12

T = -316/616/3.4641

= -316/117.824

= -1.777

C. O value = p(t<-1.777)

This gives 0.0516

D. At 10% significance

O.0516<0.1 so we reject the null hypothesis and conclude that this deduction is < than 1250

At 5% level of significance

O.o516>0.05. we do not reject the null hypothesis. We conclude there is insufficient evidence of claim being less than 1250

Kira has $40 to spend and used $20 to buy a new pair of jeans. Which integer best represents the situation of spending $20

Answers

Answer:

20 because 40 is a positive and spent is negative

Step-by-step explanation:

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