Write (11)/(6) as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.

Answer:

Measure of angle B is 70 degrees

Step-by-step explanation:

If they are both supplementary, it means that add up to be 180 degrees

Thus;

5x + 25 + 3x + 19 = 180

8x + 44 = 180

8x = 136

x = 136/8

x = 17

Measure of angle B will be;

3(17) + 19

= 51 + 19 = 70 degrees

5 flight attendants are required.

The number of flight attendants required on an aircraft is determined by regulatory agencies such as the Federal Aviation Administration (FAA) in the United States and the European Aviation Safety Agency (EASA) in Europe.

The number of flight attendants depends on several factors, including the type of aircraft, the number of passenger seats, the length of the flight, and the number of passenger exits.

The number of flight attendants required can be determined by the following formula:

The minimum number of flight attendants = (N / 50) + 1 where N is the number of passenger seats.

So, for an aircraft with 275 seats and 249 passengers:

(249 / 50) + 1

= 5 flight attendants are required.

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Answer:In other words, the slopes of parallel lines are equal. Note that two lines are parallel if their slopes are equal and they have different y-intercepts. In other words, perpendicular slopes are negative reciprocals of each other.

Step-by-step explanation:

The slopes of two parallel lines are always equal.

The slope of a line can be calculated by taking the tangent ratio of the angle formed by it with the x axis.

The angle between two parallel lines is zero.

It implies that they form same angle with the x-axis.

Since, the slope of a line is define as the tangent of the angle made by it with x axis.

The slopes of the parallel lines will be equal.

Suppose the slopes of two parallel lines are m₁ and m₂.

Then, it can be written as m₁ = m₂.

Hence, the relationship between the slopes of two parallel lines can be written as m₁ = m₂.

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Answer:

\( - 2383\)

Step-by-step explanation:

\(74 + ( - 91) \times 27 \\ 74 + (- 2457) \\ - 2383\)

Answer:

Step-by-step explanation:

The standard form of the equation of a line perpendicular to the line (3x + 6y = 5) and passing through the point (1, 3) is (2x - y = -1)

To determine the equation of a line perpendicular to the line (3x + 6y = 5) and passing through the point (1, 3), we can follow these steps:

1. Obtain the slope of the provided line.

To do this, we rearrange the equation (3x + 6y = 5) into slope-intercept form (y = mx + b):

6y = -3x + 5

y =\(-\frac{1}{2}x + \frac{5}{6}\)

The slope of the line is the coefficient of x, which is \(\(-\frac{1}{2}\)\).

2. Determine the slope of the line perpendicular to the provided line.

The slope of a line perpendicular to another line is the negative reciprocal of the slope of the provided line.

So, the slope of the perpendicular line is \(\(\frac{2}{1}\)\) or simply 2.

3. Use the slope and the provided point to obtain the equation of the perpendicular line.

We can use the point-slope form of a line to determine the equation:

y - y1 = m(x - x1)

where x1, y1 is the provided point and m is the slope.

Substituting the provided point (1, 3) and the slope 2 into the equation, we have:

y - 3 = 2(x - 1)

4. Convert the equation to standard form.

To convert the equation to standard form, we expand the expression:

y - 3 = 2x - 2

2x - y = -1

Rearranging the equation in the form (Ax + By = C), where A, B, and C are constants, we obtain the standard form:

2x - y = -1

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Answer:

2.83 cm

Step-by-step explanation:

The other leg is also 2cm

Pythagorean Theorem

  hypot ^2 = 2^2 + 2^2

  Hypot = sqrt 8 =~ 2.83 cm

Answer:

Step-by-step explanation:

an isosceles triangle where the two legs form a 90-degree angle is an isosceles right triangle. So, the hypotenuse of the triangle is 2√2

Answer:

11.6

Step-by-step explanation:

F = k/ d^2

where k = proportionality constant

k = Fd^2

k = 5 * 9^2

k = 5*81 = 405

d = (K/F)^1/2

d = (405/3)^1/2

d = 11.62 =11.6

Answer:

11.62

Step-by-step explanation:

F is inversely proportional to d^2, so

\(F=\frac{k}{d^2}\)

for some constant k.  To find  k  plug in given values for  F  and  d.

\(5=\frac{k}{9^2}\\5=\frac{k}{81}\\k=405\)

Now you can find d for F = 3.

\(3=\frac{405}{d^2}\\\\3d^2=405\\\\d^2=135\\d=\sqrt{135}\approx 11.62\)

The data plan that has the cheapest deal is given by the ratio of the data

plan price to the GB allocated.

The given phone data plans are;

\(\begin{tabular}{|l|cl|}&Prepaid Single Phone Plan&Prepaid Family Plan\\ a&\$30 for 1 GB &\$30 for 1 GB\\b& \$35 for 6 GB & \$40 for 6 GB\\ c&\$45 for 16 GB&\$50 for 16 GB\\d & \$65 for Unlimited Data & \$70 for Unlimited Data\end{array}\right]\)

The price per GB are;

Plan a = $30 ÷ 1 = $30 per GB

Plan b = $35 ÷ 6 = $5.8\(\overline 3\) per GB and $40÷ 6 = $6.\(\overline 6\) per GB for Family Plan

Plan c = 45 ÷ 16 = $2.8125 per GB and $3.125 per GB

Plan d = $65 for Unlimited Data = 65 ÷ ∞ ≈ 0;  $70 for Unlimited Data = 0

Therefore, the plan with the cheapest price per GB from the given option is option B. Prepaid Single Phone Plan $45 for 16 GB.

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The graph of the inverse variation equation is called a rectangular hyperbola.

A form of proportionality called inverse variation occurs when one number falls as the other rises or the other way around. This suggests that if one number rises while the other decreases, the magnitude or absolute value of the first quantity will decrease, resulting in a constant product. The constant of proportionality is another name for this item.

An inverse variation is a relationship between two variables in which the product is constant; as a result, while one of the variables changes, the other changes correspondingly to maintain the same value of the product. This connection has the form of a hyperbola.

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Answer:

The fifth answer is correct! have a great day

Answer:

3 and 4

Step-by-step explanation:

23x5= 115

115+35=150

23x2=46

46+35= 81

which gives us numbers 3 and 4

Please give me brainliest :)

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input.

The collection of all potential inputs for a function is its domain. For instance, the domain of f(x)=x2 and g(x)=1/x are all real integers with the exception of x=0.

Think about the function y = f. (x). The range of the function is the range of all the y values, from least to maximum. Substitute all possible values of x into the provided expression of y to see whether it is positive, negative, or equal to other values.

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The sum of three consecutive numbers as an expression is 3x + 3.

An expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

Let the consecutive numbers be x, x + 1 and x + 2.

The sum of three consecutive numbers as an expression will be:

= x + x + 1 + x + 2

= 3x + 3.

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Answer:

57º

Step-by-step explanation:

A triangle equals 180º so to find x, just subtract the other angles from 180

180 - 39 - 84 = 57

Step-by-step explanation:

x+39+84=180 (being sum of angle of triangle is 180)

x+123=180

x=57

Answer: b

Step-by-step explanation:

The answers to the three questions (Image attached) are:

A triangle is known to be a kind of three-sided polygon that is made up of three edges and also three vertices.

Note that A scalene triangle is said to be a  triangle that has all its three sides to be of different lengths, and different measures.

The answers to the three questions (Image attached) are:

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8 is the  sum of the exponents of the prime factors of the square root of the largest perfect square that divides 12!

We are asked the sum of the exponents of the prime factors of the square root of the largest perfect square that divides 12!.

As, the largest perfect square that divides 12! is

2^10 * 3^4 *5^2 = 2073600.

Now, the square root of the number 2073600 is,

1440

Now, we have to find the prime factorization of 1440

1440 = 2×2×2×2×2×3×3×5

Now, in the prime factorization of 1440

the exponent of 2 is 5, exponent of 3 is 2 and the exponent of 5 is 1.

So, the sum of the exponents of the prime factors be 5+2+1 = 8

Hence, 8 is the  sum of the exponents of the prime factors of the square root of the largest perfect square that divides 12!

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Option A

we plug in 3 for x so

y= 2(3)

=6

The minimum value of the objective function subject to the given constraints is 48 and it occurs at (6,0).

The given problem is:

min 8x₁ + 6x₂ subject to4x₁ + 2x₂ ≥ 20−6x₁ + 4x₂ ≤ 12x₁ + x₂ ≥ 6x₁ + x₂ ≥ 0

The feasible region is as follows:

Firstly, plot the following lines:4x₁ + 2x₂ = 20-6x₁ + 4x₂ = 12x₁ + x₂ = 6x₁ + x₂ = 0On plotting, the following graph is obtained:

Now, let's check each option one by one:

a. 4x₁ + 2x₂ ≥ 20

The feasible region is the region above the line 4x₁ + 2x₂ = 20.

b. −6x₁ + 4x₂ ≤ 12

The feasible region is the region below the line −6x₁ + 4x₂ = 12.c. x₁ + x₂ ≥ 6

The feasible region is the region above the line x₁ + x₂ = 6.d. x₁ + x₂ ≥ 0

The feasible region is the region above the x-axis.

Now, check the point of intersection of the lines.

They are:(10,0),(2,4),(6,0)The point (2,4) is not in the feasible region as it lies outside it.

Therefore, we reject this point.

The other two points, (10,0) and (6,0) are in the feasible region.

Now, check the values of the objective function at these two points.

Objective function value at (10,0): 80

Objective function value at (6,0): 48

Therefore, the minimum value of the objective function subject to the given constraints is 48 and it occurs at (6,0).

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Answer:

no answer sorry I only study in class 7

Answer:

77 is the ninth term.

Step-by-step explanation:

You start out with adding 3 and every time you add a new number you add the last number you added to it and add 2.

The total distance which the bird travels if it flies at 100 km per hour and the speed of the train is 60 km per hour would be equal to 400 kilometers.

In Mathematics, distance can be defined as the amount of ground that is covered (travelled) by a physical object over a particular period of time and speed, irrespective of its direction, starting point or ending point.

Based on the information provided, we can reasonably infer and logically deduce that this train would travel a distance of 60 kilometers in 60 minutes, if it is moving at a speed of 60 kilometers per hour. Therefore, the train travels a distance of 240 kilometers from Delhi to Agra in 240 minutes.

Since the bird made the journeys continuously back and forth from Agra to the train and back to Agra for this same amount of time (240 minutes), the total distance it traveled shall be calculated as follows:

Total distance = 100 kilometers per hour × 240 minutes

Total distance = (100 × 240)/60

Total distance = 400 kilometers.

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Answer:

y = 13x -107

Step-by-step explanation:

(10 - -3) / (9-8) =13

10= 13* 9 + b

b = 10 - 117 = -107

Answer:

Step-by-step explanation:

Depending on the tools available to your 11y.o., it's a typical question for linear inequalities.

Where a,b,c are the # of 1,15,50 coins given by the buyer, and d,e,f the # of coins given back by the seller.

1×a + 15×b + 50×c > 1×d + 15×e + 50×f

a+b+c+1>=d+e+f

a+b+c >=2

Now, there are other clues in the text :

If the seller gives back money, then you didn't pay with 1's, otherwise, it means you overpay and you could have given fewer coins. So a=0.

Similarly, the seller cannot give you back a coin of 50, otherwise, you could have given fewer coins as the buyer. So f=0.

So that gives :

15×b + 50×c > 1×d + 15×e

b+c+1>=d+e

b+c >=2

From that point on, there is only a handful of scenarios to test.

Ellen must weight approximately 125 pounds to balance the seesaw.

To solve this problem, we can set up an inverse variation equation:

d₁ * w₁ = d₂ * w₂

where d₁ and w₁ are the distance and weight of Roger, and d₂ and w₂ are the distance and weight of Ellen.

Given:

d₁ = 6 feet

w₁ = 120 pounds

d₂ = 5.76 feet

w₂ = ?

Plugging in the values into the equation, we get:

6 * 120 = 5.76 * w₂

720 = 5.76 * w₂

Now, let's solve for w₂:

w₂ = 720 / 5.76

w₂ ≈ 125

Therefore, Ellen must weight approximately 125 pounds to balance the seesaw.

So, the answer is B. 125 lbs.

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A triangle is a three-sided polygon that consists of three sides and three angles. An extension of a side of a triangle is a line segment that is drawn from one of the endpoints of the side that extends beyond the side.

If we extend one side of the triangle and draw a line that passes through one of the adjacent vertices, the resulting shape is called a triangle's exterior angle. This exterior angle is formed by one side of the triangle and the extension of an adjacent side.

In other words, an exterior angle of a triangle is an angle that is formed by one side of a triangle and the extension of an adjacent side of the triangle.

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Answer:  \(3x^4 / 2y^4\)

Step-by-step explanation: \((3x7x^6y^5)divide(2x7x^2y^9)\)    then \(x^6 divided by x^2 = x(^6 ^- ^2) = x^4\)   then

\(y^5 divided by y^9 = y(^5 ^- ^9) = y(^-^4) = 1/y^4\)  then

Canceling out  7  as it appears on both sides of the fraction line.

Hope this is clear and is helpful

I can help you with the Java game exercise to build a snake game using a LinkedList. Here's a step-by-step guide to get you started:

Set up the project and GUI:

Create a new Java project in your preferred IDE.

Set up a graphical user interface (GUI) for the game using a suitable library such as Swing or JavaFX.

Create a Snake class:

Define a Snake class that represents the snake in the game.

Use a LinkedList data structure to store the coordinates of each segment of the snake's body.

Implement methods in the Snake class to move the snake, grow its length, and check for collisions.

Randomly generate numbers and letters:

Use the Random class from the java.util package to generate random numbers and letters.

Generate 10 random numbers between 0 and 9 (inclusive) and store them in a suitable data structure, such as an ArrayList.

Generate a random letter using the ASCII range for letters (e.g., 'A' to 'Z').

Set the initial location of numbers and letter:

Choose a suitable location on the game board for each number and letter.

Assign these randomly generated numbers and the letter to their respective locations.

Handle user input:

Implement event listeners or handlers to capture user input for controlling the snake's movement.

Map the user input to appropriate actions, such as changing the snake's direction.

Game loop and rendering:

Create a game loop that continuously updates the game state and renders the graphical elements on the screen.

Within the game loop, handle the movement of the snake, collision detection, and updating the game board.

Game over conditions:

Define conditions for game over, such as when the snake collides with itself or with the boundaries of the game board.

Display appropriate messages or actions when the game is over.

Testing and debugging:

Test your game thoroughly to ensure that it functions as expected.

Debug any errors or issues that arise during testing.

Remember to break down the problem into smaller tasks, implement and test each task separately, and gradually integrate them into the complete game. Feel free to ask specific questions if you encounter any issues along the way. Good luck with your game development!

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Answer:  <1 = 105° and <2 = 75°

Step-by-step explanation:

The information we have is the 75 degree angle already provided. Using our knowledge on transverses we know a 180 degree angle is a straight line (we happen to have two of these (c and d)). Using the corresponding angle theorem we know angle 2 is equivalent to 75 degrees. Supplementary angles refer to angles that add up to 180 degrees. Angle 1 and 2 are supplementary so from there we solve.

180 - 75 = 105

<1 = 105 degrees