Write an equation of the line passing through the point (2, -9) that is perpendicular to the line V=x+6.

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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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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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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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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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:

26.425

Step-by-step explanation:

Answer:

1. 39, 46

2. 180

Step-by-step explanation:

1. count up by 7

2. not sure..

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

Answer:

y=[tex]\frac{3}{2}[/tex]x - [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

To get slope intercept form (y=mx+b), simplify and solve for y.

y+1=[tex]\frac{3}{2}[/tex](x-1)

Simplify

y+1=[tex]\frac{3}{2}[/tex]x - [tex]\frac{3}{2}[/tex]

Solve for y

y=[tex]\frac{3}{2}[/tex]x - [tex]\frac{5}{2}[/tex]

Explanation

From the given question

We are given the formula to compute the amount that a sum of $8000 compounded quarterly will yield after time t at a rate of 2.8%

The formula is given by

Part A

part B

the amount in the account after 7 years will be

The amount that will be in the account after 7 years will be $9725.57

Part C

APY is given by

In our case we have

Hence, we will have the APY as

Hence, the APY is 2.829%

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.

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 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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We will have the following:

When we solve for x we will have

So, x is equal or grater than -5.

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 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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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

Answer:

can't answer the first two questions as figure is not mentioned in picture

3. -3

4. 6

5. 3/4

6. -3

7. 5

8. 3

Step-by-step explanation:

ANSWER

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

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:

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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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.

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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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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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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