prove that 8^6 + 4^11 is divisible by 17

Answers

Answer 1
8^6 + 4^11 = 262144 + 4194304 = 4456448
4456448/17 = 262144 is the answer

Related Questions

In 5 + In x = 1


this is from my algebra 2 class and we just have to solve

Answers

Answer:

2

Step-by-step explanation:

In 5 + In x = 1

In 5 + In x = In 10 (Because In 10 = 1)

In(5x) = In 10

5x = 10

x = 10/5

x = 2

Solve for x check the picture

Answers

Answer:

x = 21

Step-by-step explanation:

2x and 42 are alternate angles and are congruent, so

2x = 42 ( divide both sides by 2 )

x = 21

I need helppp soo like yeah

Answers

Answer:

x = 30°

Step-by-step explanation:

Since 2 of the sides are congruent then the triangle is isosceles and the 2 base angles are congruent, both 75°

The sum of the 3 angles in a triangle = 180°, then

x = 180° - (75 + 75)° = 180° - 150° = 30°

Does anyone know this answer?

Answers

The answer is D! Hope you have a great day!

Plllllz mark brainliest if you dont mind

Mrs. Davis has 54 dollars and 50 cents saved, she will save 33 dollars and twenty-five cents each week for the next 30 weeks, she will not spend any of the money, how many dollars will miss Davis have saved after 30 weeks.

Answers

$1052 because 30×33.25+45.50=1052

Answer:

$1,053.50

Step-by-step explanation:

First you need to multiply $33.30 by 30 so you can figure out how much she'll save over the next 30 weeks. You will get $999. Then you add $54.50 and $999 together to get 1,053.50.

Tell whether the number is prime or composite.

68

Answers

Answer:It's composite

Step-by-step explanation:It's composssssiiiiitttteeeee

68 is a composite number because it’s an even number. The factors of 68 are 1,2,4,17,34 and lastly 68.

Choose the two situations that describe volume.
A. measuring the length and width of a box
B. finding the total number of cubes a box will hold
C. counting how many blocks make up a block tower
D. measuring the length of each side of a desk using cubes
E. counting the number of cubes it takes to cover the entire surface of a desk

What is it?

Answers

Answer:

B and C are volume

A = area/perimeter

D = Perimeter

E = surface area

Topic 3 Assessment
POSSIBLE POINTS 11
Are the following functions linear or nonlinear? Function A
Function B
Function A
Function B
X3 6 9 1215
ty
9
y510152025 8
6
5
4
3
2
6
7 8 9
1
2
3 4 5 6 7 8 9
Nex

Answers

I think function A is linear and function B isnt

Step-by-step explanation:

Function A has a constant rate of change and function B looks like a curve

Solve the inequality:

10x+5≥25

Select one:

x≥2

x≥20

x≥30

x≥3

Answers

Answer:

x≥2

Step-by-step explanation:

Step 1: Subtract 5 from both sides.

10x+5−5≥25−5

10x≥20

Step 2: Divide both sides by 10.

10x /10 ≥ 20 /10

HOPE IT HELPS

If you roll a number cube two times, what is the probability of rolling an even on the first roll and a four on the second roll?

Answers

Answer:

1/12

Step-by-step explanation:

Probability is a ratio derived as the number of possible outcomes divided by the total outcome.

On a number cube, the even sides are 2, 4 and 6. This means that the possible outcome for rolling an even is 3 while the total outcome is 6. Hence the probability of rolling an even P(E)

= 3/6

The probability of rolling a 4  P(4)

= 1/6 (4 appears on one side)

Hence  the probability of rolling an even on the first roll and a four on the second roll

P(En4) = 3/6 * 1/6

= 3/36

= 1/12

DOES ANYONE KNOW THESE ANSWERS PLEASE HELP

Answers

1) x^2-x-12
2) 12b^2-7b-10
3) 2y^2-17y+30

please help me in this question​

Answers

Answer:

m= 4

Step-by-step explanation:

(-5)^(m + 3) × (-5)^8 = (-5)^15(-5)^(m + 3 + 8) = (-5)^15(-5)^(m + 11) = (-5)^15m + 11 = 15m = 4

Solve:
4(-6) =
-9(5) =
-1.5(-7) =

Answers

Answer:

5

Step-by-step explanation:

Marking Branliest
A right rectangular pyramid is sliced horizontally (Across) at the red line by a plane paralell to the base of the pyramid. What is the shape of the cross-section ?

Answers

Answer:

Rectangle

Step-by-step explanation:

Since the base is a rectangle and the pyramid was cut horizontally that would leave the shape of the cross-section to be a rectangle as well.

hope this helped, have a great day :)

Answer:

Rectangle

Step-by-step explanation:

HELPPPPPPPP !!!!!!!!!

Answers

It is 136° because of the rules where opposites are the same or whatever lol i don’t remember what it’s called atm
the answer is 136, since the angle 4,2 are 46,42, you need to subtract 46 and 42 from 360, leaving you with 272°, but since using the OAT, you know that angles 1,3 are equal therefore you divide 272 by two, leaving you with 136.

Complete the statement. Round to the nearest hundredth if necessary. 64 lb ≈ kg

Answers

Answer:

64 lb = 29.029912 kg

Rounded to the nearest hundredth is 29.03 kg

hope this helps!

The shelf life of a battery produced by a major company is known to be normally distributed, with a mean life of 4 years and a standard deviation of 0.75 years. What is the upper quartile of the battery shelf life? What range of years contains the middle 68% of all battery shelf lives?

Answers

Answer:

4.5 years ; (3.25, 4.75)

Step-by-step explanation:

Given that :

Mean , m = 4

Standard deviation, s = 0.75

The upper quartile, which is the 3rd quartile of a standard normal distribution is 0.67

Therefore, the upper quartile Q3:

Q3 = mean + 0.67 * standard deviation

Q3 = 4 + 0.67(0.75)

Q3 = 4 + 0.5025

Q3 = 4.5025

Q3 = 4.5 years

Range of values that contain the middle 68%

According to the empirical rule;

68% is within 1 standard deviation of the mean

Therefore ;

Interval will be ;

Mean ± 1 standard deviation

(4 - 0.75) ; (4 + 0.75)

(3.25, 4.75)

A rectangular prism has a length of 10ft, a height of 3ft, and a width of 4ft. What is its volume, in cubic ft?

Answers

Answer:

120

Step-by-step explanation:

deltamath

120 cubic ft is the volume of  rectangular prism having a length of 10ft, a height of 3ft, and a width of 4ft

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

A rectangular prism is a 3D figure with 6 rectangular faces.

Given, rectangular prism has a length of 10ft, a height of 3ft, and a width of 4ft.

To find the volume of rectangular prism we have to multiply length, width and height.

Volume =Length×Width×Height

Put the values of length, width and height in the above formula.

=10×4×3

=120 cubic ft

Hence 120 cubic ft is the volume of  rectangular prism having a length of 10ft, a height of 3ft, and a width of 4ft

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

#SPJ6

   Cheyenne is playing a board game. Her score was −225 at the start of her turn, and at the end of her turn her score was −405. What was the change in Cheyenne's score from the start of her turn to the end of her turn?


The change was__ points

Answers

she gained 180 points
180 points :) its correct i checked

show that (X+1)(x+3)(x+5)=ax3+bx2+cx+d

Answers

Answer:

a = 1

b = 9

c = 23

d = 15

Step-by-step explanation:

Expand it out:

(x^2 + 4x + 3)(x+5)

(x^3 +4x^2 +3x + 5x^2 + 20x + 15)

=x^3 + 9x^2 + 23x +15

1.    An AP has a common difference of 3.  Given that the nth term is 32, and the sum of the first n terms is 185, calculate the value of n.

Answers

Answer:

The value of n is 10

Step-by-step explanation:

The formula of the nth term of the arithmetic progression is a[tex]_{n}[/tex] = a + (n - 1)d

a is the first termd is the common difference between each 2 consecutive termsn is the position of the term

The formula of the sum of nth terms is S[tex]_{n}[/tex] = [tex]\frac{n}{2}[/tex] [2a + (n - 1)d]

∵ An AP has a common difference of 3

d = 3

∵ The nth term is 32

a[tex]_{n}[/tex] = 32

→ Substitute them in the 1st rule above

32 = a + (n - 1)3

∴ 32 = a + 3(n) - 3(1)

∴ 32 = a + 3n - 3

→ Add 3 to both sides

∴ 35 = a + 3n

→ Switch the two sides

∴ a + 3n = 35

→ Subtract 3n from both sides

a = 35 - 3n ⇒ (1)

∵ The sum of the first n terms is 185

S[tex]_{n}[/tex] = 185

→ Substitute the value of S[tex]_{n}[/tex] and d in the 2nd rule above

185 = [tex]\frac{n}{2}[/tex] [ 2a + (n - 1)3]

∴ 185 = [tex]\frac{n}{2}[/tex] [2a + 3(n) - 3(1)]

∴ 185 = [tex]\frac{n}{2}[/tex] [2a + 3n - 3]

→ Multiply both sides by 2

∴ 370 = n(2a + 3n - 3)

370 = 2an + 3n² - 3n

→ Substitute a by equation (1)

370 = 2n(35 - 3n) + 3n² - 3n

∴ 370 = 70n - 6n²+ 3n² - 3n

→ Add the like terms in the right side

370 = -3n² + 67n

→ Add 3n² to both sides

∴ 3n² + 370 = 67n

→ Subtract 67 from both sides

3n² - 67n + 370 = 0

→ Use your calculator to find n

n = 10 and n = 37/3

∵ n must be a positive integer ⇒ 37/3 neglecting

n = 10

The value of n is 10

Find the slope of the line that contains the pair of points: (6,3)

Answers

Answer:

1/2

Step-by-step explanation:

Let the coordinate points be (6,3) and (4,2)

Slope = y2-y1/x2-x1

x1 = 6, y1 = 3, x2 = 4 and y2 =2

Substitute

slope = 2-3/4-6

Slope = -1/-2

Slope = 1/2

Hence the slope of the coordinate is 1/2

Note that the other Coordinate was assumed

10 x L - 9 + -2P im stuck there

Answers

Answer:

thx this really helps

Step-by-step explanation:

if m7 = 55°, which of the following statements are true? Select all that apply.

A. m6 = 55°
B. m5 = 135°
C. m1 + m4 = 250°
B. m1 + m6 = m7 + m4

Answers

Answer:

A. m∠6 = 55°

C. m∠1 + m∠4 = 250°

D. m∠1 + m∠6 = m∠7 + m∠4

I really need help for this geometry question, I would appreciate any help thank you.

Answers

Answer:

5

Step-by-step explanation:

In a 30  60 90 triangle the shortest side is considered to be half the hypotenuse. So in this case, 10 is the hypotenuse and 10/2 = 5.

What is 7/9÷1/3 I really want to know

Answers

It’s 2.3 or 2 1/3 Ik cause I Calculated it

Let f(x)=151+4e−0.2x.



What is the y-intercept of the graph of f(x)?

Enter your answer in the box.

y-intercept =

Answers

Answer:

y-intercept: (0,)

0, 4e+151

809.366, 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are 320 students in a school, There are 36 more boys than girls. What fraction of the students are boys?

Answers

Answer:

89/160

Step-by-step explanation:

Total number of students= 320

Total number of students=x+y=320

Let x= number of boys

Let y= number of girls

If there are 36 more boys than girls:

36+y=x

x+y=320 ( given x= 36+y)

36+y+y=320

36+2y=320

2y=320-36

2y=284

y=284/2

y=142

Therefore number of girls=142

Since 36+y=x

36+142=x

x=178

Therefore number of boys =178

Fraction of students that are boys=

178/320

89/160

I need help with this

Answers

option A is the correct answer

PLEASE ANSWER ASAP FOR BRAINLIEST!!! A triangle has side lengths of 17 cm and 8 cm. Which could be the value of the third side, 28 cm or 23 cm? The value (select) v cm is the value of the third side.

Answers

Answer:

23

Step-by-step explanation:

The sum of any two sides of a triangle has to be greater than the other side

Only 23 meets this criteria

Answer:

i think it is 23

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