A. 56
B. 154
C. 210
D. 252

The y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1 is 0.

From the attached line segment graph, we see the coordinates as;

J (1, -10) and K (7, 2)

Let us assume that, point L divides the directed line segment from J to K into a ratio of 5:1.

From the properties of coordinate geometry we know that, the coordinates of point that divides the line joining (x₁, y₁), (x₂, y₂) in m:n, are;

[(mx₂ + nx₁)/(m + n)], [(my₂ + ny₁)/(m + n)]

Plugging in the relevant values gives;

[(5 * 7 + 1 * 1)/(5 + 1)], [(5 * 2 + 1 * -10)/(5 + 1)]

⇒ (6, 0)

Therefore, the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1 is 0.

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Answer:

c. 0

Step-by-step explanation:

The impulse that Penelope's car would experience is 100, 000 Kg. m/s

The formula for calculating the impulse is;

Impulse = m Δ v

Where m = mass = 2000kg

Δv = change in velocity = 100 - 50 = 50m/s

Substitute values into formula

Impulse = 2000 × 50 = 100, 000 Kg. m/s

Therefore, the impulse would be 100, 000 Kg. m/s

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Answer:

B. The acidity can destroy essential nutrients in the soil, such as amino acids or nitrates.

Answer:

see the attachment photo!

Answer:

y [tex]\leq[/tex] 6 + [tex]\frac{3x}{4}[/tex]

Step-by-step explanation:

3x - 4y [tex]\geq[/tex] 24

-3x                 -3x

(-4y [tex]\geq[/tex] 24 - 3x ) / -4

y [tex]\leq[/tex] 6 + [tex]\frac{3x}{4}[/tex]

Probability helps us to know the chances of an event occurring. There are 8 outcomes.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Let's suppose someone flips a fair coin three times.

1. The outcomes of the coins are,

Therefore, there are 8 outcomes.

2. The probability of getting exactly one tail is,

P(X=1) = 2/8 = 1/4

3. The probability of getting at most two tails is,

P(X≤2) = P(X=1) + P(X+2) = 1/4 + 1/2 = 3/4

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Answer:

Mean = Sum of Values ÷ Total number of Values

Step-by-step explanation:

= 15+5+16+9+14+3+4+18+10+4 ÷ 10

= 98 ÷ 10

= 9.8     (Decimal point moves 1 place to the left when divided by 10)

The expression that is equivalent to complex fraction  [tex]\frac{1 - \frac{1}{x}}{2}[/tex] is  [tex]{\frac{x - 1}{2x}}[/tex]

To answer the question, we need to know what fractions are

Fractions are rational numbers written in the form a/b where

where

To find the expression similar to the complex fraction [tex]\frac{1 - \frac{1}{x}}{2}[/tex], we simplify the fraction.

So,  [tex]\frac{1 - \frac{1}{x}}{2}[/tex]

Taking L.C.M of x in the numerator, we have

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

Simplifying, we have

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

So, the expression that is equivalent to the complex fraction  [tex]\frac{1 - \frac{1}{x}}{2}[/tex] is  [tex]{\frac{x - 1}{2x}}[/tex]

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Going by the standard Helium Cylinder/Balloon Chart, the amount of pressure she will require to fill 90 balloons is 300 per squared inch (PSI.)

To get this amount, we simply divide the number of balloons with the total amount of PSI.

Thus:

90/300

= 0.3psi each.

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Answer: 300?

Step-by-step explanation:

tell me if i am wrong

266.605 is the answer.

Step-by-step explanation:

70.6 + 74.02 + 121.985 = 266.605

Answer:

16

Step-by-step explanation:

We need to find 2 numbers that have a difference of 8.

Let take's 16 and 8.

As we know :

⇒ 16 - 8

⇒ 8

The larger of these 2 numbers is 16

Mel did pass the class , Option B is the correct answer.

The missing options are

Mel does not like chemistry

Mel did pass the class

Mel did not achieve a passing grade for the class

Mel took math this semester

The statements that are based on fact and is assertive is a true statement and opposite of that is a false statement.

In the question it is mentioned that Mel received a C+ in Chemistry.

It is not known that she took maths test , she did achieve passing grades and by grades it cannot be said if she didn't like chemistry

This can make only Option B statement true , as she did pass the class.

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Answer:

B

Step-by-step explanation:

Hope this will help on the problem

Answer:

Step-by-step explanation:

Equations

7x + 3y = 4z

Second equation

x + y = z                          Multiply the entire equation by 4

4[x + y = z]                      Now distribute the 4 through the equation

4x + 4y = 4z                    Both equations = 4z. Equate the lefts.

Third equation  

7x+3y = 4x + 4y              Subtract 3y from both sides

7x + 3y -3y = 4x + 4y -3y

7x = y + 4x                      Subtract 4x from both sides

7x - 4x = y + 4x - 4x       Combine

3x = y

Answer: 3x = y

The answer is 3 I work it out

Answer:

  144°

Step-by-step explanation:

The central angle of a sector in a pie chart is proportional to the fraction the represented data is of the whole.

__

The total number of meals ordered at the restaurant was ...

  11 +12 +7 = 30

The fraction of those that were Curry was ...

  12/30 = 2/5

Then the central angle of the sector representing Curry will be 2/5 of the circle, or ...

  2/5 × 360° = 144°

The central angle of the section representing Curry will be 144°.

Answer: 2.5

Step-by-step explanation:

-2x + 14 + 10x = 34

8x + 14 = 34

8x = 34 - 14

8x = 20

x = 20/8

x = 5/2

x = 2.5

Answer:

The length would be 15 inches.

Step-by-step explanation:

Since we are solving for perimeter the first step would be doing 6+6 = 12 (covering 2 sides). The next thing we would do is subtract 12 from 42 getting 30 as our answer. We need to divide 30 by 2 to get an answer of 15. I hope this helps! :)

Answer:

15 inches

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

The figure moves to the right 8 units which is positive and then up 7 units which is also positive.

Teniendo en cuenta que el total de encuestados fue 150 personas, se puede calcular que el porcentaje de personas que solo ven tenis es 34.3%.

¿Cómo calcular el porcentaje de personas que solo ven tenis?

Para calcular el porcentaje de encuestados que solo ven tenis es necesario realizar la siguiente operación:

De acuerdo con lo anterior, se puede inferir que el porcentaje de encuestados que solo ve tenis es el 34.3%.

Nota: Esta pregunta está incompleta porque le falta información. Aquí está la información faltante.

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Answer:

0 apples

Step-by-step explanation:

Answer:

Standard form: 2x²-5x+12=0

a=2 b=-5 c=12

Step-by-step explanation:

2(x+3)²-5x=6

2(x²+9)-5x-6=0

2x²+18-5x-6=0

2x²-5x+18-6=0

2x²-5x+12=0

a=2 b=-5 c=12

Area

Base=6cm

Height=12cm

So,

= 1/2×6×12

= (3×12)

= 36 cm²

[tex]\boxed{\blue{ » \: Lear \: math \: with \: Kareninajovanka \: « コ: \: 彡}}[/tex]

Answer:

9. 105/-21 = -5

10. -5 + 11 = 6

11. 368 x -16 = -5888

12. To prove this you don't need the integers provided, you can just expand out the first one. a x (b + c) = (a x b) + (a x c)

Answer:

Divided by 10 every time

Step-by-step explanation:

/10 is the pattern

Answer:

here man that's the answer