Plz help fast will mark brainliest!!!

Answer:

Pascal triangle is infinite, and the answer to this question is the 1,9,6,84,126,126,84,36,9,1

Step-by-step explanation:

in the pascal triangle the first row start with 0.

Answer:

C, I got it right

Step-by-step explanation:

The two major types of series are the arithmetic series and the geometric series. The arithmetic series is characterized by common difference, while the geometric series has common ratio between two successive terms.

The sum of the given series is:

[tex]\lim_{n \to \infty} \frac{1}{3}(1 - \frac{1}{4}^n )[/tex]

The given series is a geometric series. So, we first calculate the common ratio (r) using:

[tex]r = T_2 \div T_1[/tex]

From the series, we have:

[tex]T_1 = \frac{1}{4}[/tex]

[tex]T_2 = \frac{1}{16}[/tex]

So, the equation becomes

[tex]r = \frac{1}{16} \div \frac{1}{4}[/tex]

Rewrite as product

[tex]r = \frac{1}{16} * \frac{4}{1}[/tex]

[tex]r = \frac{1}{4}[/tex]

The formula to calculate the sum of a geometric series of is:

[tex]S_n = \frac{a(1 - r^n )}{1-r}[/tex]

Where

[tex]a = T_1 =\frac{1}{4}[/tex] -- the first term

[tex]S_n = \frac{\frac{1}{4}(1 - \frac{1}{4}^n )}{1-\frac{1}{4}}[/tex]

Simplify the denominator

[tex]S_n = \frac{\frac{1}{4}(1 - \frac{1}{4}^n )}{\frac{3}{4}}[/tex]

Divide 1/4 by 3/4

[tex]S_n = \frac{1}{3}(1 - \frac{1}{4}^n )[/tex]

We can conclude that, the sum of the series is:

[tex]S_n = \lim_{n \to \infty} \frac{1}{3}(1 - \frac{1}{4}^n )[/tex]

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Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3 , then

y = 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation.

Using (4, 10 ) , then

10 = 12 + c ⇒ c = 10 - 12 = - 2 → B

D

Given m = 4 then

y = 4x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (3, 19 ), then

19 = 12 + c ⇒ c = 19 - 12 = 7 → D

Answer:

The Answer is 14 feet. your answer

Answer:

Los números son: 13, 14, y 15.

Step-by-step explanation:

Un número de dos cifras puede escribirse como:

a*10 + b

Donde a y b son números entre 0 y 9.

3 números consecutivos entonces se escribe como:

a*10 + b

a*10 + b + 1

a*10 + b + 2

El producto de esos 3 números será:

(a*10 + b)*(a*10 + b + 1)*(a*10 + b + 2) = 2,730, pero sabemos que hay 20 corredores, entonces el máximo número de dos cifras posibles es 20.

Esto nos obliga a tomar a = 1  (porque si a fuera igual a dos, tendríamos números mayores a 20)

Entonces la ecuación es:

(1*10 + b)*(1*10 + b + 1)*(1*10 + b + 2) = 2,730

(10 + b)*(11 + b)*(12 + b) = 2,730

(110 + 21b + b^2)*(12 +b) = 2,730

1,320 + 110*b + 252*b + 21*b^2 + 12*b^2 + b^3 = 2,730

b^3 + 33*b^2 + 362*b + 1,320 - 2,730 = 0

b^3 + 33*b^2 + 362*b - 1,410 = 0

Ahora, sabemos que b tiene que ser un número entero entre 0 y 9, entonces simplemente podemos ir probando con distintos valores de b y ver cuál es solución de esa ecuación.

b = 0

0^3 + 33*0^2 + 362*0 - 1,410 = 0

-1,410 = 0  

b = 0 no es una solución.

b = 1

1^3 + 33*1^2 + 362*1 - 1,410 = 0

-1,014 = 0

b = 1 no es una solución.

b = 2

2^3 + 33*2^2 + 362*2 - 1,410 = 0

-546 = 0

b = 2 no es una solución

b = 3

3^3 + 33*3^2 + 362*3 - 1,410 = 0

27 + 297 + 1,086 - 1,410 = 0

0 = 0

b = 3 es una solución.

Entonces los 3 números consecutivos son:

10 + 3 = 13

10 + 3 + 1 = 14

10 + 3 + 2 = 15

Answer:

8(6x + 7)

Step-by-step explanation:

Find a factor for both of the numbers (8)

Place the remaining numbers in a bracket (6x +7)

Place the 8 outside the bracket

8 (6x + 7)

Have a good day :)

Answer:

All you have to do is factor like this. It is also know as common factoring.

48x+54

8(6x+7)  You chose the eight because it fits into 48 and 54. So you find the multiple of 8 to get the total of 48. And that is 6 and for 54 it would turn out to be 7. So the answer would be  8(6x+7)

Step-by-step explanation:

Hope this helps!

Answer:

33.33 percent or 2:4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

(-1,-2)

Step-by-step explanation:

The given coordinates are ,

Midpoint can be calculated by finding the mean of x coordinates and y coordinates . As ,

→ Midpoint = ( 4-2/2 , 10-6/2)

→ Midpoint = ( -2/2 , -4/2 )

→ Midpoint = ( - 1 , -2)

Answer:

2g - 5 = 1/2(m) + 6

Step-by-step explanation:

Let Garrett's age be g and Mary's m. Hint: "is" in these type of word problems will typically be the equation's "=" sign.

2g - 5 = 1/2(m) + 6

Answer:

I think A or D but i'm stuck on D

Step-by-step explanation:

Answer:

D because if you multiply all the other brands to get a 100oz they are more expensive/ high than D.

Answer:

Step-by-step explanation:

10^8

it means multiply 10 8 times so

10*10*10*10*10*10*10*10

=100000000

Answer:

when a is negative, the parabola opens downward

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

solid A surface area-112

solid B surface area-136

to find the surface area of a rectangular prism the equation is  2(lw + lh + wh)

Solid A  4*8+4*2+8*2

32+8+16

56*2=112

Solid B 2*2+2*16+2*16

4+32+32

68*2=136

Answer:

44cm

Step-by-step explanation:

Answer:

44 cm

Step-by-step explanation:

Answer: the first one

Step-by-step explanation:

(x,y)->(4x, 4y)

Answer: The answer is C

Step-by-step explanation:

The reason is because if you make a line in between it would be symetrical (up, down, left, right).

Answer:

Elisa y Romina comieron 5/16 de la pizza completa cada una.

Step-by-step explanation:

Dado que Elisa y Romina tienen 5/8 de pizza y decidieron dividírsela en partes iguales, para determinar qué parte de la pizza completa le tocó a cada una se debe realizar el siguiente calculo:

(5/2) / 8 = X

2.5 / 8 = X

0.3125 = X

0.3125 = 5/16

Por lo tanto, Elisa y Romina comieron 5/16 de la pizza completa cada una.

Answer:

The answer is 9^1 or simply 9.

Answer:

when u distribute a number you are basically giving the number off and multiplying other factors by that number

Step-by-step explanation:

3(x+4) ( distribute the 3 ) so u would multiply the 3 by both factors ( the x and the 4) getting 3x+12

Answer:

b

Step-by-step explanation:

Answer:

See attachment for plot

Step-by-step explanation:

Given

[tex]t = (-1,2.5)[/tex] ---- coordinates of t

s = 5 units to the right of t

Required

Plot s

First, we determine the coordinate of s

The rule to translate a point to the right is:

[tex](x,y) \to (x + h,y)[/tex]

Where h is the number of units

i.e.

[tex]h= 5[/tex]

So, we have:

[tex]s = (-1 + 5, 2.5)[/tex]

[tex]s = (4, 2.5)[/tex]

See attachment for plot

Answer:

Im not entirely sure but i think that either a or d is correct

Step-by-step explanation:

hope this helps!

Answer:

The answer is 12 feet. .

Step-by-step explanation:

You have to multiply 3/4 or 0.75 by the number of tiles. So you would go, 0.75 x 10 and then 0.75 x 6 and add the answers together.

15 mile/1 hours cause 60/4

Answer:

the answer interm of pie will be 18π

Step-by-step explanation:

circumference of circle is given as πD where D is the diameter , we have been given diameter as 18 , hence c=πD will be 18π

Answer:

Rectangular route

Step-by-step explanation:

Given

H(-4, 3)    B (2, 11)   F (6, 8)   C (0, 0)

Required

The type of route

First, calculate the distance between adjacent points i.e. HB, BF, FC and CH

Where

HB and FC are opposite

BF and CH are opposite

Using distance formula:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

So, we have:

HB

[tex]H =(-4, 3) \to (x_1,y_1)[/tex]

[tex]B = (2, 11) \to (x_2,y_2)[/tex]

[tex]HB = \sqrt{(-4- 2)^2 + (3 -11)^2}= \sqrt{(-6)^2 + (-8)^2} = \sqrt{36 + 64} = \sqrt{100} = 10[/tex]

BF

[tex]B = (2, 11) \to (x_1,y_1)[/tex]

[tex]F = (6, 8) \to (x_2,y_2)[/tex]

[tex]BF = \sqrt{(2- 6)^2 + (11 -8)^2}= \sqrt{(-4)^2 + (3)^2} = \sqrt{16 + 9} = \sqrt{25} = 5[/tex]

FC

[tex]F = (6, 8) \to (x_1,y_1)[/tex]

[tex]C =(0, 0) \to (x_2,y_2)[/tex]

[tex]FC = \sqrt{(6- 0)^2 + (8 -0)^2}= \sqrt{(6)^2 + (8)^2} = \sqrt{36 + 64} = \sqrt{100} = 10[/tex]

CH

[tex]C =(0, 0) \to (x_1,y_1)[/tex]

[tex]H =(-4, 3) \to (x_2,y_2)[/tex]

[tex]CH = \sqrt{(0-- 4)^2 + (0 -3)^2}= \sqrt{(4)^2 + (-3)^2} = \sqrt{16 + 9} = \sqrt{25} = 5[/tex]

So, we have:

[tex]HB = FC = 10[/tex]

[tex]BF = CF = 5[/tex]

Sine the opposite sides are equal; We can conclude that the route is a rectangle

Answer:  Graph D (bottom right corner)

======================================================

Explanation:

The equation y = 3x+3 is in slope intercept form y = mx+b

m = 3 = slope

b = 3 = y intercept

In this case, both the slope and y intercept are the same (though in general they tend not to be).

The positive slope value means the line goes uphill as you move from left to right. The positive y intercept means the diagonal line crosses the y axis somewhere above the horizontal x axis. Specifically, it crosses the y axis at y = 3

Graph D is the only graph that has such a line on it. Graphs A, B and C have the positive slope line where they have a negative y intercept, so we can rule them out.

You can use graphing tools such as Desmos or Geogebra to help confirm this answer. You could also make a table of values, and plot each point, to form the lines. Two points is the minimum amount needed to form any line.

Answer:

Step-by-step explanation:

Answer:

See picture attached below.

Step-by-step explanation:

To graph the system, graph each line separately.

y = 3x + 3 ha slope 3 and y-intercept 3.

Start at 3 on the y-axis and mark a point. Then from this point move up 3 units and to the right 1 unit. Mark a point and connect.

y=-x - 3 has slope -1 and y-intercept -3.

Start at -3 on the y-axis and mark a point. Then from this point move down 1 unit and to the right 1 unit. Mark a point and connect.

This graph is represented in the picture attached.

...............................................................................................................................................

Which graph represents the following system of equations?

y = 3x + 3

y = –x – 3

...............................................................................................................................................

y=x−8

​y=12x−5​

...............................................................................................................................................

Graph of 2 lines that intersect at one point. Both lines are solid. One line passes through (-2,2) and (0,3) and is shaded below the line.

y < = 1/2x + 3...(-2,2)                y < = 1/2x + 3....(0,3)

2 < = 1/2(-2) + 3                        3 < = 1/2(0) + 3

2 < = -1 + 3                                3 < = 0 + 3

2 < = 2 (correct)                        3 < = 3 (correct)

The other line passes through points (0,1) and (1,-2) and is shaded above the line.

y > = -3x + 1...(0,1)            y > = -3x + 1...(1,-2)

1 > = -3(0) + 1                   -2 > = -3(1) + 1

1 > = 0 + 1                         -2 > = -3 + 1

1 > = 1 (correct)                 -2 > = -2 (correct)

...............................................................................................................................................

we have

using a graph tool

see the attached figure

The solution of the system is the shaded area

we know that

The line is solid

The line passes through points  and  and is shaded above the line.

The line is solid

The line passes through points  and  and is shaded below the line

The two lines intersect at one point

therefore

the answer is the option

B) Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded above the line.

Answer:

See Below.

Step-by-step explanation:

Problem 1)

We want to verify that:

[tex]\displaystyle \left(\cos(x)\right)\left(\cot(x)\right)=\csc(x)-\sin(x)[/tex]

Note that cot(x) = cos(x) / sin(x). Hence:

[tex]\displaystyle \left(\cos(x)\right)\left(\frac{\cos(x)}{\sin(x)}\right)=\csc(x)-\sin(x)[/tex]

Multiply:

[tex]\displaystyle \frac{\cos^2(x)}{\sin(x)}=\csc(x)-\sin(x)[/tex]

Recall that Pythagorean Identity: sin²(x) + cos²(x) = 1 or cos²(x) = 1 - sin²(x). Substitute:

[tex]\displaystyle \frac{1-\sin^2(x)}{\sin(x)}=\csc(x)-\sin(x)[/tex]

Split:

[tex]\displaystyle \frac{1}{\sin(x)}-\frac{\sin^2(x)}{\sin(x)}=\csc(x)-\sin(x)[/tex]

Simplify:

[tex]\csc(x)-\sin(x)=\csc(x)-\sin(x)[/tex]

Problem 2)

We want to verify that:

[tex]\displaystyle (\csc(x)-\cot(x))^2=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Square:

[tex]\displaystyle \csc^2(x)-2\csc(x)\cot(x)+\cot^2(x)=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Convert csc(x) to 1 / sin(x) and cot(x) to cos(x) / sin(x). Thus:

[tex]\displaystyle \frac{1}{\sin^2(x)}-\frac{2\cos(x)}{\sin^2(x)}+\frac{\cos^2(x)}{\sin^2(x)}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Factor out the sin²(x) from the denominator:

[tex]\displaystyle \frac{1}{\sin^2(x)}\left(1-2\cos(x)+\cos^2(x)\right)=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Factor (perfect square trinomial):

[tex]\displaystyle \frac{1}{\sin^2(x)}\left((\cos(x)-1)^2\right)=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Using the Pythagorean Identity, we know that sin²(x) = 1 - cos²(x). Hence:

[tex]\displaystyle \frac{(\cos(x)-1)^2}{1-\cos^2(x)}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Factor (difference of two squares):

[tex]\displaystyle \frac{(\cos(x)-1)^2}{(1-\cos(x))(1+\cos(x))}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Factor out a negative from the first factor in the denominator:

[tex]\displaystyle \frac{(\cos(x)-1)^2}{-(\cos(x)-1)(1+\cos(x))}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Cancel:

[tex]\displaystyle \frac{\cos(x)-1}{-(1+\cos(x))}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Distribute the negative into the numerator. Therefore:

[tex]\displaystyle \frac{1-\cos(x)}{1+\cos(x)}=\displaystyle \frac{1-\cos(x)}{1+\cos(x)}[/tex]