Select whether the pair of lines is parallel, perpendicular, or neither.
y = 5, y = −3

Answer:

x ≥ - [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

4x + 4 ≤ 9x + 8 ( subtract 5x from both sides )

4 ≤ 5x + 8 ( subtract 8 from both sides )

- 4 ≤ 5x ( divide both sides by 5 )

- [tex]\frac{4}{5}[/tex] ≤ x , then

x ≥ - [tex]\frac{4}{5}[/tex]

Answer:

4x + 4 ≤ 9x + 8   Subtract 4x from both sides

       4 ≤ 5x + 8   Subtract 8 from both sides

      -4 ≤ 5x         Divide both sides by 5

        ≤ x  

       x ≥  

Step-by-step explanation:

The volume of gasoline in the tank as a function of time can be determined as,

The time taken to fill the tank can be determined as,

Thus, the requried domain is,

The range of the function can be determined as,

Thus, the above expressions gives the required domain and range of the function.

The most appropriate choice for Simultaneous linear equation will be given by -

8 packages of coffee and 4 packages of tea are sold.

What is simultaneous linear equation?

At first it is important to know about linear equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Two or more linear equations, which can be solved together to obtain common solution are known as simultaneous linear equation.

Here,

A coffee shop sold 11 packages of coffee and 50 packages of tea, for which customers paid a total of $288

So,

11x + 50y = 288 ...............(1)

The day before, 12 packages of coffee and 38 packages of tea was sold, which brought in a total of $248

So,

12x + 38y = 248

2(6x + 19y) = 248

6x + 19y = [tex]\frac{248}{2}[/tex]

6x + 19y = 124 ....................(2)

Multiplying (1) by 6 and (2) by 11,

66x + 300y = 1728

66x + 209 y = 1364

Subtracting above two equations,

91 y = 364

[tex]y = \frac{364}{91}[/tex]

y = 4

Putting the value of y in (2),

6x + 19[tex]\times[/tex]4 = 124

6x + 76 = 124

6x = 124 - 76

6x = 48

[tex]x = \frac{48}{6}\\x = 8[/tex]

8 packages of coffee and 4 packages of tea are sold.

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The most appropriate choice for Simultaneous linear equation will be given by -

8 packages of coffee and 4 packages of tea are sold.

What is simultaneous linear equation?

At first it is important to know about linear equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Two or more linear equations, which can be solved together to obtain common solution are known as simultaneous linear equation.

Here,

A coffee shop sold 11 packages of coffee and 50 packages of tea, for which customers paid a total of $288

So,

11x + 50y = 288 ...............(1)

The day before, 12 packages of coffee and 38 packages of tea was sold, which brought in a total of $248

So,

12x + 38y = 248

2(6x + 19y) = 248

6x + 19y =

6x + 19y = 124 ....................(2)

Multiplying (1) by 6 and (2) by 11,

66x + 300y = 1728

66x + 209 y = 1364

Subtracting above two equations,

91 y = 364

y = 4

Putting the value of y in (2),

6x + 194 = 124

6x + 76 = 124

6x = 124 - 76

6x = 48

8 packages of coffee and 4 packages of tea are sold.

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The total possible choices of password that are available is 21,266,960,000.

The length of the password has to be of 9 characters.

Three of them should be letters, 2 should be symbols from the 11 choices of the symbols and 4 have to be digits.

Any of the following can be repeated in the password,

So, making the combination of 9 characters.

As we know, letters are 26, so, there are 26 choices each for three places.

Also, if 11 symbols are available, then there are 11 choices each are available for the two places and the total number of 10 which are 0 to 9, so, there are 9 choices each for the last four places,

Hence the final combination would be,

= 26 x 26 x 26 x 11 x 11 x 10 x 10 x 10

= 21,266,960,000

Hence the total password available are 21,266,960,000.

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The probability that joe and jane end up in the same class is 0.3258 .

In the question ,

it is given that

90 students is to be split into 3 equal size classes , so ,

the three classes  will have 30 students each .

let these classes be Class A , Class B and Class C .

Let Joe and Jane be in Class A .

the total number of ways of selecting 30 students for class A from 90 students is C(90,30) .

Since , we have fixed Joe and Jane in Class A , the remaining 28 spots of class A can be filled by remaining 88 students  in C(88,28) ways ,

So , the probability that Joe and Jane end up in the same class is

= C(88,28)/C(90,30) .

Since there are three  classes ,

the required probability is 3*C(88,28)/C(90,30) .

= 3×[tex]\frac{88!}{28!*60!}[/tex]×[tex]\frac{60!*30!}{90!}[/tex]

= 29/89

= 0.3258

Therefore , the probability that joe and jane end up in the same class is 0.3258   .

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Answer:

m∠1 = 151°

m∠2 = 29°

m∠3 = 151°

Step-by-step explanation:

        We can use knowledge of vertical angles and supplementary angles.

➜ Vertical angles are congruent

➜ Supplementary angles are equal to 180° when added together

Answer:

m∠1 = 151, m∠2 = 29, m∠3 = 151.

Step-by-step explanation:

We know m∠4 is equal to 29. We know m∠4 and m∠2 are equal because they are vertical angles. That means m∠2 is 29. Now, m∠4 and m∠3 equal 180, and m∠2 and m∠1 also equal 180. Since we know m∠4 is 29, you can do 29 + m∠3 = 180. You get m∠3 = 151. Now, m∠1 and m∠3 are also equal because they are vertical angles. That means m∠1 is equal to 151 as well. So your final answers are m∠1 = 151, m∠2 = 29, and m∠3 = 151.

The triangles are similar. The smaller is isosceles, so the 3 of them are as well.

Let's Start by finding the hypotenuse of the smaller one:

a² = 2

Answer:

no solution

Step-by-step explanation:

After you level up solving equations, sometimes there is NO solution (and sometimes there is infinite solutions) instead of always getting a number answer.

How do you know when?

Solve as usual:

2x - 3 = 4 + 2x

Subtract 2x from both sides.

-3 = 4

When all your variables "fall out" of the equation and you end up with a false statement, then you have NO Solution.

The rate at which the volume of the cone is changing is -5235.98 inches³/s when the radius of the circular cone is 50 inches and the height is 10 inches.

The formula for the circular cone can be given as;

V = 1/3 πr²h

Now we take the derivative with respect to time as follows;

V = 1/3 πr²h

dV/dt = 1/3π d/dt(r²h)

dV/dt = 1/3π [2r(dr/dt) × h + r²(dh/dt)]

Now we substitute the values in this equation as follows;

dV/dt = 1/3π [2 × 50 × 5 × 10 + (50²) (-4)]

dV/dt = 1/3π [ 5000 - 10000]

dV/dt = 1/3π [-5000]

dV/dt = -5235.98

Hence the negative sign indicates that the volume is decreasing over time and the rate of change is calculated to be -5235.98 inches³/s.

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Answer:

49.5ft³

Step-by-step explanation:

If it is 2 ft more than 3 times as long as it is wide then:

l = 3w + 2

which means:

w = (l-2)/3

and:

d = 1/2((l-2)/3)

Now just substitute in 11 for l

w = (11 - 2)/3

w = 9/3

w = 3

d = 1/2((11-2)/3)

d = 1/2(9/3)

d = 1/2(3)

d = 1.5

So the total volume is:

11 * 3 * 1.5

49.5

ANSWER

R1, R2, R3, R4, G1, G2, G3, G4. Option B.

Using the mid point, the coordinates of the end point V is (7, -27)

A midpoint is a point lying between two points and is in the middle of the line joining the two points.

In other words, the midpoint of a line segment is a point that lies halfway between 2 points.

Therefore, the coordinates of the endpoint V can be found as follows:

using the mid point,

(xₙ, yₙ) = (x₁ + x₂ / 2, y₁ + y₂ / 2)

Therefore,

(5, -11) = (3 + x₂ / 2, 5 + y₂ / 2)

Hence,

5 = 3 + x₂ / 2

cross multiply

10 = 3 + x₂

10 - 3 = x₂

x₂ = 7

Hence,

- 11 = 5 + y₂ / 2

-22 = 5 + y₂

-22 - 5 = y₂

y₂ = - 27

Therefore, the coordinates of V is (7, -27)

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After subtraction we can see Stephanie has only 1 pizzas left.

What is subtraction?

The definition of subtraction is subtracting one number or amount from another. It is addition's opposite operation. Subtraction subtracts a number from another to find the difference, whereas addition adds or groups numbers to find the sum. The word "subtract" can also mean to compare two values to determine how many factors account for a value's difference from another. That is the most fundamental concept behind the term "difference" for the solution to a subtraction problem.

We are given that,

Stephanie has 5 pizzas, Also she shared 4 of the pizzas with her friends

Hence she is left with 5-4= 1 pizza
Hence Stephanie has left with 1 pizza

Therefore the correct option is option D)
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Answer:

26.425

Step-by-step explanation:

Answer:

The answer is 75 degrees

Step-by-step explanation:

Remember that the sum of the three angles of any triangle is 180 degrees.

So, 180=58+47+x

180=105+x

75=x

The center of the hyperbola given as (y + 3)²/9 − (x − 2)²/2 = 1 is (2, -3)

From the question, the equation of the hyperbola is given as

(y + 3)²/9 − (x − 2)²/2 = 1

As a general representation, a hyperbola is represented as

(y - k)²/a² − (x − h)²/b² = 1

From the above general representation, the coordinates of the center of the hyperbola is

Center = (h, k)

By comparing the equations (y - k)²/a² − (x − h)²/b² = 1 and (y + 3)²/9 − (x − 2)²/2 = 1, we  have the following representstion

(h, k) = (2, -3)

This means that

Center = (2, -3)

Hence, the center is (2, -3)

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Answer:

(2,-3) See question 10

Step-by-step explanation:

Answer:

76 square feet of wood.

Explanation:

Bethany is building a storage trunk with the following dimensions:

• Length = 5 ft.

• Height = 4 ft.

• Width = 2 ft.

We are to determine how much wood is needed to make the trunk.

The amount of wood that will be needed to make the truck is the surface area of the trunk. The storage trunk is in the shape of a rectangular prism.

The surface area of a rectangular prism is found using the formula below:

Substitute the given dimensions:

Bethany needs 76 square feet of wood to make the trunk.

Answer:

B, D, E

Step-by-step explanation:

2x - 5 = 15

2x = 20

x = 10

B) 2x = 20

x = 10

D) 2x - 20 = 0

2x = 20

x = 10

E)4x - 10 = 30

4x = 40

x = 10

Different possibilities for the given case are, 267540

4 railroads chosen from 15 class I railroads

2 railroads chosen from 8 class II railroads

1 railroad chosen from 7 class III railroads

So total combinations    = ¹⁵C₄ ˣ ⁸C₂ ˣ ⁷C₁

   = (15!)/(4!*11!) x (8!)/(2!6!) x (7!)/(1!6!)

   = 15 x 7 x 13 x 4 x 7 x 7 = 267540

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In the Mediterranean, the Mycenaeans rose to prominence by a mix of military prowess, economic connections, and cultural sway.

Thus, Military Might: The Mycenaeans had a strong military force and were expert warriors. They used sophisticated bronze weapons and chariot warfare as a tactic.

They were able to increase their influence and take control of neighbouring territories thanks to their military might.

Control over Trade Routes: The Mycenaeans had complete control over key trade routes in the Mediterranean, particularly those that extended from the Aegean to the eastern Mediterranean and beyond.

Thus, In the Mediterranean, the Mycenaeans rose to prominence by a mix of military prowess, economic connections, and cultural sway.

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Answer: 23 - 19 = 4

Step-by-step explanation:

Answer:

how many does eat cookies left??? what

Step-by-step explanation:

anyway, it should be 4 cookies i guess?

23 - 19 = 4

...unless this is like a trick question with bad grammar

The car was driven 105 miles.

What is rent?

An agreement where a fee is paid for the temporary use of a good, service, or property owned by another is known as renting, sometimes known as hiring, or letting.

In the given example the cost function is, c = 15 + 2m

Where, c is the total cost and m is the number of miles car driven.

The total cost was $225.

So, plug c = $225 in the above equation.

225 = 15 + 2m

210 = 2m

   m = 105

Therefore, the car was driven 105 miles.

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x = 12° and y = 7° are the value of linear angles.

What is linear pair of angles?

8x° = 96°

x = 96/8

x = 12°

8x° = 11y + 19

8 * 12° = 11y + 19

96 = 11y + 19

11y = 96 - 19

11y =    77

y = 77/11

y = 7°

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The length of the diagonal of the TV is 2500 inches

Calculating your TV size is less complicated than you might think. A TV's size refers to its diagonal length, which comes from measuring from the upper left hand corner of the actual TV screen to the lower right hand corner.

TV that is 30 inches tall and 40 inches wide.

The length of the diagonal of the TV of the equation is

[tex]30^{2} + b^{2} =40^{2}[/tex]

Then

[tex]30^{2} +40^{2} =2500[/tex]

so

The length of the diagonal of the TV is 2500 inches

Calculating your TV size is less complicated than you might think. A TV's size refers to its diagonal length, which comes from measuring from the upper left hand corner of the actual TV screen to the lower right hand corner. Most are expressed in inches.

The screen surface's diagonal length is calculated from one corner to the other corner (bottom left to top right or top left to bottom right)

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The probability that the coin lands heads up six times in a row is 0.016

Probability is the term used in mathematics to understand how likely an event is to happen or can also be described as how likely it is that a proposition is true.

It can be determined by dividing the favorable outcomes or events by the total number of outcomes.

As the coin has two sides, the probability that when the coin lands, it lands heads up is determined as follows;

Probability = 1 / 2

Now the probability that the coin lands heads up six times in a row can be calculated as follows;

Probability = (1^6) / (2^6)

Probability = 1 / 64

Probability = 0.015625

Rounding it to three decimal places as follows;

Probability = 0.015625 = 0.016

Therefore, the probability that the coin lands heads up six times in a row is calculated to be 0.016

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The first one is TRUE since there are not outliers

The second one is FALSE

The interquartile range is 10, so the third one is FALSE

The data is skewed since the median is not in the middle,so the fourth is TRUE and the fifth is FALSE

The sixth one is TRUE

The last one is FALSE.

Summirizing, we have

True

False

False

True

False

True

False

The number is 234.

Step-by-step explanation:

Let the 3 digits be H , T and U so the number is HTU.

H + T + U = 9

T = 0.5H + 0.5U

U = 2H

So  from the last 2 equations

T = 0.5H + 0.5(2H)

T = 0.5H + H

T = 1.5H

So substituting for T and H is the first equation:

H + 1.5H + 2H = 9

4.5H = 9

H = 2.

So T = 1.5*H = 1.5 *2 = 3.

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Since angle D is 50, E is 80, we can add those two for now, 50+80=130, to make it 180, we can do 180-130 which gives us 50. So the value of x is 5. Sorry that its pretty confusing