Find the slope of each line.
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the first four terms of the sequence is 51,51.8,52.6,53.4

we can find first four terms by using formula given by

[tex]a_{n} =a_{1} +(n-1) *d[/tex]

[tex]a_{n}[/tex] = the nᵗʰ term in the sequence

[tex]a_{1[/tex] = the first term in the sequence

d = the common difference between terms

Arithmetic progression is a progression in which every term after the first is obtained by adding a constant value, called the common difference (d). So, to find the nth term of an arithmetic progression, we know an = a1 + (n – 1)d. a1 is the first term, a1 + d is the second term, the third term is a1 + 2d, and so on

an=51 + (n-1)*0.8, n=1, 2, 3...

a1 = 51 + (1 -1 ) * 0.8

a1 = 51

a2 = 51 + (2 - 1)*0.8

a2 = 51 + 0.8

a2 = 51.8

a3 = 51 + (3 - 1)*0.8

a3 = 51 + 2*0.8

a3 = 51 + 1.6

a3 = 52.6

a4 = 51 + (4 - 1)*0.8

a4 = 51 + 2.4

a4 = 53.4

Hence , the first four terms of the sequence is 51,51.8,52.6,53.4

the complete question is

Find the first four terms of the sequence given by the following.

an=51 + (n-1)*0.8, n=1, 2, 3...

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Answer:

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some one already answered the question you have  

Step-by-step explanation:

Answer:

$1.50

Step-by-step explanation:

Answer:

$1.5

Explanation:

6 / 4?

Step-by-step explanation:

[tex] {5}^{2} = {x}^{2} + {x}^{2} \\ {5}^{2} = {x}^{4} \\ 5 = \sqrt{ {x}^{4} } \\ 5 = {x}^{2} \\ x = \sqrt{5} =2.236068\\ [/tex]

Answer:

3/4

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Answer:

The range is [0,37.5]

Step-by-step explanation:

We start by writing the equation that links x and y

From the question;

y = 7.5x

Now, she has enough material to make 5 only

When we talk of range, we are referring to the values on the y-axis

So the lowest y value is 0

and since the highest number of bracelets is 5;

The total cost of the 5 is 7.5(5) = 37.5

So the range is [0,37.5]

Answer:

The slope is 2.

Step-by-step explanation:

ΔX = X2 - X1 = 87 - 82 = 5

ΔY = Y2 - Y1 = -86 - (-96) = -86 + 96 = 10

ΔY/ΔX = 10/5 = 2/1 = 2

Answer:

1(6xp+3)

Step-by-step explanation:

Multiply

The slope of the graphed linear equation is a = 3/4.

A general linear equation is of the form:

y = a*x + b

Where a and b are real numbers, a is the slope, and b is the y-intercept.

If a line passes through two points (x₁, y₁) and (x₂, y₂), then the slope of that linear equation is given by:

a = (y₂ - y₁)/(x₂ - x₁)

Now, we can look at the graph to identify two points on the line, we can use (20, 40) and (60, 70), using the above formula we can get the slope:

a = (70 - 40)/(60 - 20)

a = 30/40 = 3/4

The slope of the graphed linear equation is a = 3/4.

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Answer:

a) Hay 210 grupos diferentes de seis ciudades que el representante de ventas podrá seleccionar.

b) Hay 720 secuencias posibles existen para las seis ciudades designadas.

Step-by-step explanation:

a)  Se llama combinaciones de m elementos tomados de n en n a todas las agrupaciones posibles que pueden hacerse con los m elementos de forma que no entran todos los elementos , no importa el orden  y no se repiten los elementos. La combinación se calcula como:

[tex]C=\frac{m!}{n!*(m-n)!}[/tex]

En este caso m corresponde a las 10 ciudades en el área geográfica que va a visitar, mientras que n corresponde a las 6 ciudades que debe visitar un representante de venta durante un viaje.

Entonces:

[tex]C=\frac{10!}{6!*(10-6)!}=\frac{10!}{6!*4!}[/tex]

Considerando que el factorial ! indica que se deben multiplicar todos los números enteros y positivos que hay entre el número que aparece en la fórmula y el número 1, entonces la combinación dará como resultado:

C= 210

Hay 210 grupos diferentes de seis ciudades que el representante de ventas podrá seleccionar.

b) Se llama permutación de n elementos a cada una de las diferentes ordenaciones  que se pueden hacer con esos elementos.

Si se tiene un grupo de n objetos distintos, el número de maneras diferentes que podemos tomar un número r de objetos (r < n) del grupo, está dado por la fórmula de la permutación:

[tex]P=\frac{n!}{(n-r)!}[/tex]

Si m=n para calcular el total de permutaciones se utiliza la fórmula:

P= n!

En este caso se utiliza esta última expresión, ya que se desea calcular las permutaciones de 6 ciudades en 6 posiciones:

P=6!

P=720

Hay 720 secuencias posibles existen para las seis ciudades designadas.

Answer:

what are the units?

Step-by-step explanation:

depends on the side of 1 square

if it is 1 unit, perimeter is 22 units

Answer: The answer is option A.

Step-by-step explanation: A white, non colored dot means always use a ( bracket. A solid, colored dot means use the [ bracket. Now it's farthest left at -4, and farthest right at 2. Thus, option A

Answer:

x=10 L of .30 solution

x+y=30

y=20 L water

Step-by-step explanation:

Answer: 28

Step-by-step explanation: i got the same test

Answer:

Ice would be the correct answer.

Answer:

if u want go to the doctor but use ice but if its to cold use a little heat not too much tho

Step-by-step explanation:

If you have injured your neck and are experiencing swelling, you should ice the area for at least 72 hours. After icing, you can use heat to help any lingering pain. Tight neck muscles and old injuries can benefit from heat only, as long as there isn’t any swelling.

Answer:

x: 0 or 9

y-int: 0

Answer:

70000

Step-by-step explanation:

Answer: The equation is w*(w-3)= 180 & Alex is 15 years old

Step-by-step explanation:

Alex= w years old

Claudia= (w-3) years old

a) Equation, w*(w-3)= 180

b) Now,

         w*(w-3)= 180

      ⇒ w²-3w-180= 0

      ⇒ (w+12)*(w-15)= 0

      ⇒ w= 15

Alex is 15 years old

Claudia is (15-3) = 12 years old

Answer:

Step-by-step explanation:

Given the conversion factor;

2inches = 30feet

if the height of the building is 180feet, we are to find the height of the scale model in inches.

Let x = 180 feet.

Equating both;

2inches = 30feet

x inches = 180feet

Cross multiply;

30 * x = 2 * 180

30x = 360

x = 360/30

x = 12inches

Hence the height of the scale model in inches is 12inches

Answer: 60 in

Step-by-step explanation:Let x = 180 feet.

Equating both;

2 inches = 30 feet

x inches = 180 feet

Cross multiply;

30 * x = 2 * 180

30 x = 360

x = 360/30

x = 60 inches

Answer:

Well i am not sure on that but i do know that the angle measures have to add up to 180 degrees hope that helps at least a little

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

About 30%

Hope this helps :)

Answer:

30%

Step-by-step explanation:

5 times 4 = 20 (area)

100 divided by 20 = 5

5 times 6(the amount of shaded blocks) = 30

therefore its 30% of 100

Answer:

1, 2, 4, 8, 16

Step-by-step explanation:

Each gets higher everytime you multiply by 2

Answer:

C or 3

Step-by-step explanation:

It is the only one going in a pattern or arithmetic sequence

2 + 3 = 5

5 + 3 = 8

8 + 3 = 11

11 + 3 = 14

The relationship is 3

Your inequality has one solution which is p = 1/4

The shape that would not fit this description is a trapezoid.

It is a quadrilateral that has one pair of parallel sides and a height.

The area is calculated as 1/2 x the sum of the parallel sides x height.

Examples:

Area of a trapezium that has the parallel sides as 3 cm and 4 cm and a heght o 5 cm.

Area = 1/2 x (3 + 4) x 5

Area = 1/2 x 7 x 5

Area = 35/2 = 17.5 cm^2

We have,

A parallelogram is a four-sided shape where opposite sides are parallel and congruent.

If a parallelogram has diagonals that are congruent, it must be a rectangle.

Therefore, the shape that would not fit this description is any shape that is not a rectangle.

Out of the shapes given,

A trapezoid is not a rectangle and does not have diagonals that are congruent.

Therefore,

The shape is a trapezoid.

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