Arrange the steps to find an inverse of a modulo m for each of the following pairs of relatively prime integers using the Euclidean algorithm in the order. a = 2, m=17 Rank the options below. The ged in terms of 2 and 17 is written as 1 = 17-8.2. By using the Euclidean algorithm, 17 = 8.2 +1. The coefficient of 2 is same as 9 modulo 17. 9 is an inverse of 2 modulo 17. The Bézout coefficients of 17 and 2 are 1 and 8, respectively. a = 34, m= 89 Rank the options below. The steps to find ged(34,89) = 1 using the Euclidean algorithm is as follows. 89 = 2.34 + 21 34 = 21 + 13 21 = 13 + 8 13 = 8 + 5 8 = 5 + 3 5 = 3 + 2 3 = 2+1 Let 34s + 890= 1, where sis the inverse of 34 modulo 89. $=-34, so an inverse of 34 modulo 89 is -34, which can also be written as 55. The ged in terms of 34 and 89 is written as 1 = 3 - 2 = 3-(5-3) = 2.3-5 = 2. (8-5)- 5 = 2.8-3.5 = 2.8-3. (13-8)= 5.8-3.13 = 5. (21-13)-3.13 = 5.21-8. 13 = 5.21-8. (34-21) = 1321-8.34 = 13. (89-2.34) - 8.34 = 13.89-34. 34 a = 200, m= 1001 Rank the options below. By using the Euclidean algorithm, 1001 = 5.200 +1. Let 200s + 1001t= 1, where sis an inverse of 200 modulo 1001. The ged in terms of 1001 and 200 is written as 1 = 1001 - 5.200. s=-5, so an inverse of 200 modulo 1001 is -5.

Answer:

10/20 for green, then 4/19 for blue. 10/20 * 4/19 = 2/19

Step-by-step explanation:

Explanation is above. If you need any more help let me know.

Answer:

4.75 liters of punch

Step-by-step explanation:

2.8 + 0.75 = 3.55

3.55 + 1.2 = 4.75 liters of punch

Answer:

​​

Step-by-step explanation:

Subtract 7y7y from both sides.

-4x=18-7y−4x=18−7y

2 Divide both sides by -4−4.

x=-\frac{18-7y}{4}x=−

​4

​

​18−7y

None of the expressions is equivalent to 78

The number is given as:

Number = 78

Next, we evaluate the expressions in the options using a calculator

2 × (10 × 3 + 32) = 124

2 × (13 + 32) = 90

(10 × 3 + 32) =62

2 × (10 × 3 + 3) = 66

None of the options equals 78

Hence, none of the expressions is equivalent to 78

Read more about equivalent expression at:

https://brainly.com/question/27911936

#SPJ1

Answer:

16000280

Step-by-step explanation:

hope this helps.

The equation at the vertex (2,6) will be given by  \(F[x]=2|x-2|+6\)

It is given that

vertex =(2,6)

The quadratic equation in the form of Vertex will be

\(y=a(x-h)^2+k\)

Now here  \((h,k)=(2,6)\)

Now putting the values

\(y=a|x-2|^2+6\)

Thus the function will be

\(F[x]=2|x-2|+6\)

Thus equation at the vertex (2,6) will be given by  \(F[x]=2|x-2|+6\)

To know more about quadratic equations follow

https://brainly.com/question/25841119

Answer:30 will be 2 counselors

and 45 will have 3 counselors

Step-by-step explanation:

it adding by 15

The angle ∠2 is a vertically opposite angle to the angle 145°, so they are congruent:

∠2 = 145°

The angles 1 and 3 are supplementary angles to the angle 145°, so they are equal to:

180° - 145° = 35°

∠1 = 35°

∠3 = 35°

The angle 8 is a corresponding angle to the angle 145°, so they are congruent:

∠8 = 145°

The angle ∠6 is a vertically opposite angle to the angle ∠8 so they are congruent:

∠6 = 145°

The angles 5 and 7 are supplementary angles to the angle ∠8, so they are equal to:

180° - 145° = 35°

∠5 = 35°

∠7 = 35°

Answer:

The answers are

1

2

5

Step-by-step explanation:

please correct me politely if im wrong :)

Answer:

The answers are A, B, and F.

Answer:

0.26x + 16.9..........

Answer:

y=0.26x+16.9

explanation:

Answer:

792.9 in²

Step-by-step Explanation:

Given:

Area of the base of the regular hexagonal prism box (B) = 85.3 in²

Each side length of hexagonal base (s) = 5.73 in

Height of prism box (h) = 18.10 in

Required:

Surface area of the wood used in making the hexagonal prism box

SOLUTION:

Surface area for any given regular prism can be calculated using the following formula: (Perimeter of Base × height of prism) + 2(Base Area)

Perimeter of the hexagonal base of the prism box = 6(5.73) (Note: hexagon has 6 sides.)

Perimeter of base = 34.38 in

Height = 18.10 in

Base area is already given as 85.3 in²

Surface area of the hexagonal prism box \( = (34.38*18.10) + 2(85.3) \)

\( = 622.278 + 170.6 = 792.878 in^2 \)

Surface area of the wood used in making the jewelry box ≈ 792.9 in²

Answer:

22155.84 in

Step-by-step explanation:

r = 84 in

π = 3.14

then area if circle = r² × π

… A = 84² × π = 22155.84 = ( 22.15584 min )

Answer:

\({ \boxed{ \rm{3.65 \leqslant x \leqslant 3.75}}}\)

Step-by-step explanation:

The error bound 3.7 is half of the error difference

So, it is half of 0.1

\({ \rm{ \frac{1}{2} \times 0.1 = 0.05 }} \\ \)

There fore, error interval

\( = { \tt{(3.7 - 0.05) \leqslant x \leqslant (3.7 + 0.05)}} \\ \\ = { \rm{3.65 \leqslant x \leqslant 3.75}}\)

Explanation

If 2 points corresponds to 1/2 cup, 3 points corresponds to_____. We can write the following proportion:

Answer

Her husband eats 3/4 cup of oatmeal that corresponds to 3 points.

The condition for the first dark fringe through a single slit of width w is given by w sin(θ) = λ/2.

The condition for destructive interference at the first dark fringe can be found using the path difference between the two waves.

For the first dark fringe, the path difference between the two waves that pass through the edges of the slit must be half a wavelength:

Δx = λ/2

where Δx is the path difference and λ is the wavelength of the light.

The path difference Δx can be related to the width of the slit w and the angle θ that the diffracted wave makes with the central axis of the slit by:

Δx = w sin(θ)

Therefore, the condition for the first dark fringe can be expressed as:

w sin(θ) = λ/2

The condition for the first dark fringe through a single slit of width w is given by w sin(θ) = λ/2.

This means that if the width of the slit and the wavelength of the light are known, the angle θ at which the first dark fringe occurs can be calculated.

This condition arises due to the interference of the diffracted waves from the edges of the slit. When the path difference between these waves is equal to half a wavelength, the waves interfere destructively and produce a dark fringe.

The first dark fringe is observed at the angle θ for which the path difference between the waves passing through the edges of the slit is equal to λ/2.

Learn more about First dark fringe

brainly.com/question/29566620

#SPJ11

1 kilogram is equal 2.2046 pounds.

Therefore, 150 kilograms is equal to 330.693 pound.

Pound:

A pound (commonly abbreviated lb, plural lbs) is a unit used to measure the mass of something. It is used in the imperial system and the US trade system. There are various definitions. The most commonly used group of definitions today is the International Pound Sterling. This is equal to 0.45359237 kilograms, divided into 16 avoirdupois ounces.

Kilogram:

The kilogram is the unit of mass in the International System of Units (SI), expressed as kg. A unit of measurement widely used worldwide in science, technology and commerce, colloquially referred to simply as the kilogram. It means "a thousand grams."

Kilograms are defined in seconds and meters based on basic physical constants. This allows suitably equipped metrology laboratories to calibrate mass measuring instruments such as Kibble balances as a basic standard for determining accurate mass in kilograms.

Converting 150 kg to US pounds. We'll convert the formula in two different versions.

First one:

kilograms * 2.20462262 = 330.69339300 pounds.

The first version of the formula gives the most accurate result.

Sometimes even the smallest differences can matter. So, if you need accurate results, this formula will be the best option for figuring out how many pounds are in 150 kg.

Now,

we can also go to the second version of the formula and calculate how many pounds is 150 kg.

For the second version of the formula below:

This may be the best option if you want to quickly convert 150 kg to pounds, for example while shopping. It is important to remember that the results are imprecise.

Learn more about Kilogram:

https://brainly.com/question/28844288

#SPJ4

9514 1404 393

Answer:

  59.8 cm

Step-by-step explanation:

The length of arc ABC is ...

  s = rθ

  s = (9 cm)(220/180π) = 11π cm ≈ 34.558 cm

The length of segment CD is 9 cm less than the length of segment OD. OD can be found using the law of sines.

  OD/sin(A) = AD/sin(O)

  OD = AD·sin(A)/sin(O) = (21 cm)sin(24°)/sin(140°) ≈ 13.288 cm

Then the length of CD is ...

  CD = OD -9 cm = (13.288 cm) -(9 cm) = 4.288 cm

The perimeter is the sum of the segment and arc lengths:

  P = ABC + CD +AD

  P = 34.558 cm + 4.288 cm + 21 cm = 59.846 cm

The perimeter of the shape is about 59.8 cm.

Answer: Infinitely many

Step-by-step explanation:

Let the value of \(\frac{x}{y}\) be \(k\), where \(k\) is an integer. Then, \(x=ky\).

\(\implies \frac{x+1}{y+1}=\frac{ky+1}{y+1}=\frac{k(y+1)}{y+1}+\frac{1-k}{y+1}=k+\frac{1-k}{y+1}\)

This means we need \(\frac{1-k}{y+1}\) to be an integer. If we let this fraction equal \(n\), then:

\(\frac{1-k}{y+1}=n \implies 1-k=ny+1 \implies y=\frac{-k}{n}\)

From this, we see that there are infinitely many pairs.

Answer:

420

Step-by-step explanation:

I believe this is the answer

In the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units.

In the best-case scenario analysis for Automatic Transmissions, Inc.'s new gear assembly project, the company assumes the upper limit of the ±15 percent range for its estimates. For the price per unit, they take a 15 percent increase, resulting in a value of $1081. Similarly, the variable cost per unit is increased by 15 percent to $391. The fixed costs are also adjusted upwards by 15 percent, reaching $3.91 million. Finally, the quantity is decreased by 15 percent, leading to a value of 45,050 units.

On the other hand, in the worst-case scenario analysis, the company assumes the lower limit of the ±15 percent range for its estimates. The price per unit is decreased by 15 percent, resulting in $799. The variable cost per unit is decreased to $289. The fixed costs are adjusted downwards to $2.89 million. Lastly, the quantity is increased by 15 percent to 60,950 units.

Therefore, in the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units

To more on cost:
https://brainly.com/question/28147009
#SPJ8

Answer:

\(b=-\frac{-mx-2x+2m-60}{x};\quad \:x\ne \:0\)

Step-by-step explanation:

Given the expression

\(\left(x-2\right)\left(x-m\right)=x^2-bx+60\)

switch sides

\(x^2-bx+60=\left(x-2\right)\left(x-m\right)\)

subtract x² from both sides

\(x^2-bx+60-x^2=\left(x-2\right)\left(x-m\right)-x^2\)

simplify

\(-bx+60=-mx-2x+2m\)

subtract 60 from both sides

\(-bx+60-60=-mx-2x+2m-60\)

simplify

\(-bx=-mx-2x+2m-60\)

subtract x from both sides;  x≠0

\(\frac{-bx}{-x}=-\frac{mx}{-x}-\frac{2x}{-x}+\frac{2m}{-x}-\frac{60}{-x};\quad \:x\ne \:0\)

simplify

\(b=-\frac{-mx-2x+2m-60}{x};\quad \:x\ne \:0\)

Thus,

\(b=-\frac{-mx-2x+2m-60}{x};\quad \:x\ne \:0\)

The percentage that will decrease on the moon is: 83.5%

The weight of a 200-pound person on the moon is 33 pounds, which represents a decrease in weight by 200 - 33 = 167 pounds. To find the percentage decrease in weight, we need to divide the decrease in weight by the original weight and multiply by 100.

Using the formula: Percentage decrease = (Decrease in weight / Original weight) * 100

Percentage decrease = (167 / 200) * 100 = 83.5%.

Therefore, the person's weight decreased by 83.5%, from 200 pounds on Earth to 33 pounds on the moon. This decrease in weight is due to the weaker gravitational pull on the moon compared to Earth.

It's important to note that the weight of an object is determined by its mass and the gravitational force acting on it, and weight is not the same as mass. An object's mass remains constant, regardless of its location, but its weight can change based on the strength of the gravitational force acting on it. On the moon, the gravitational force is weaker than on Earth, which results in a decrease in weight for objects on its surface.

To know more about PERCENTAGE visit:

https://brainly.com/question/13631568

#SPJ4

9514 1404 393

Answer:

  b⁵

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)(a^c) = a^(b+c)

__

  \(b^{-6}\cdot b^{11}=b^{-6+11}=\boxed{b^5}\)

The linear equation for their total combined age in 5 years is 2x + 17 = 31.

Let the age of Alex be x years old.

Let the age of June be 'y'.

June is exactly 7 years older than Alex.

y = x+7

In next 5 years, combined  total age will be of 31 years.

(x+5) + (y+5) = 31

Now, the linear equation that models total combined age in 5 years

Replace y with (x+7)

x + 5 + (x+7) + 5 = 31

2x + 17 = 31

Thus, linear equation for their total combined age in 5 years is 2x + 17 = 31.

To know more about the linear equation, here

https://brainly.com/question/14323743

#SPJ4

The range of these percentages would be 45% To find the range of the percentages from the dot plot, we need to determine the difference between the highest and lowest values.

Since the data is given to the nearest 5 percent, we'll consider the endpoints of the data range.

From the dot plot, identify the lowest recorded percentage and the highest recorded percentage. Subtract the lowest value from the highest value to find the range.

For example, if the lowest recorded percentage is 30% and the highest recorded percentage is 75%, the range would be:

Range = Highest value - Lowest value

      = 75% - 30%

      = 45%

Therefore, the range of these percentages would be 45%.

Learn more about endpoints here:

https://brainly.com/question/29164764

#SPJ11

Answer:

3x+9=0

3x=-9

x=-9/3=-3 is your answer

Answer:nn

Step-by-step explanationn    o:

Answer:

y = 89

Step-by-step explanation:

x = -9

y = x^2 + 8

y = (-9)^2 + 8

y = 81 + 8

y = 89

Answer:

3.64 × 10(raised to the power 7)

2.6 × 10⁴

Answer:

The slope is 3/2 and the y intercept is 4

Step-by-step explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

2y -3x=8

Add 3x to each side

2y-3x+3x= 8+3x

2y = 3x+8

Divide by 2

2y/2 = 3/2x +8/2

y = 3/2x +4

The slope is 3/2 and the y intercept is 4