Identify the indicated sum for the geometric series.
S, for 3 - 6 + 12 – 24 + .....

Answers

Answer 1

Answer:

Here,

3

,

(

6

)

,

12

,

(

24

)

,

...

is the geometric sequn.

w

h

e

r

e

,

1

s

t

t

e

r

m

=

a

1

=

3

and

common ratio

r

=

6

3

=

12

6

=

24

12

=

2

and

S

9

=

?

n

=

9

We know that,

The sum of first n term of Geometric series is :

S

n

=

a

1

(

r

n

1

)

r

1

Putting ,

a

1

=

3

,

r

=

2

and

n

=

9

S

9

=

3

[

(

2

)

9

1

]

(

2

)

1

S

9

=

3

[

512

1

]

3

S

9

=

3

(

513

)

3

S

9

=

513

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

c.r. r=-6/3=-2

[tex]S_{n}=3\frac{(-2)^n-1}{-2-1} =-(-2)^n+1\\let~n\rightarrow \infty\\then S_{\infty} \rightarrow \infty~or~ -\infty[/tex]


Related Questions

Sort the expressions into the correct categories based on their value. Note that some expressions may not belong to any of the categories.

(help with the circled ones)

Answers

Answer:

the answer for (9squared divided by 3) - ( 3 x 5 ) = 12

Step-by-step explanation:

(9squared divided by 3) - ( 3 x 5 ) = 12

9x9 = 81

81 ÷ 3 = 27

27 - (3x5)

3 x 5 = 15

27 - 15 = 12

so it goes in the 12 box

4squared - ( 2 x 3 )

4squared = 4 x 4

4 x 4 = 16

16 - (2 x 3)

2 x 3 = 6

16 - 6 = 10

so it goes in the 10 box

try these.Evaluate the following logarithms.​

Answers

Answer:

Reminder: [tex]log _a x[/tex] answers the question: "what power do I have to raise a to in order to get x?"

Thus said.

[tex]1. \ 64= 2^6 = 4^3 \implies log_464=3\\2. \ 5^1 = 5 \implies log_55 = 1\\3.\ 3^1=3; \ 2^1=2 \implies Log_33 + log_22 = 1+1=2\\4.\ 5^1=5; \ 8^1=8 \implies log_55 - log_88=1-1=0\\5. \ 8=2^3; 32=2^5 \implies log_28+log_232 = 3+5=8[/tex]

Last one, if you already talked about log properties, can be handled as:

[tex]log_28+log_232= log_2(8\times32) = log_2256 =8\ (256=2^8)[/tex]

please explain and answer it

Answers

8√21 cm² is the area

hope it helps you

please mark as brainlliest!!

PLZ HELP ASAP ILL GIVE 20 POINTS!
A local store is selling fresh tuna. The table below shows the price for the amount of tuna. Amount of tuna (in pounds) 2, 6, 7 price (in dollars) 12, 30, 35.
predicted price for 9 pounds of tune?​

Answers

Answer:

Its not always the same, 45 dollars

Step-by-step explanation:

Here is why its not always the same:

12/2 = 6 dollars/pound

30/6 = 5 dollars/pound

35/7 = 5 dollars/pound

we can see that they are not the same price as they vary.

For 9 pounds we can assume that the price would continue to be 5 dollars/pound:

x/5 = 9

x=5*9

x= 45

Easy question for some points 2x2-6+4

Answers

Answer:

2

Step-by-step explanation:

2 x 2 - 6 + 4

4 - 6 +4

4 - 2

2

5/8 divided by 3/5=????????????????????????????

Answers

Answer:

0.15

Step-by-step explanation:

Answer:

1 1/24

Step-by-step explanation:

Pls give brainly if right :) also not 11 its 1u 1/24

why (0.0) (3.4) (6.8) (6,12) not a function

Answers

Answer:

Step-by-step explanation:

Look at the first elements of the four points:  {0, 3, 6, 6}.  The element 6 appears twice and is associated with two different second elements:  {8, 12}.  That tells us immediately that this is not a function.

Mr. Holland is leaning a ladder against the side of his house to repair the roof. The top of the ladder reaches the roof, which is 3 meters high. The base of the ladder is 4 meters away from the house, where Mr. Holland's son is holding it steady. How long is the ladder? meters​

Answers

Answer:

use Pythagoras theorem a^2+b^2 = c^2 where c is the longest side of the triangle (hypotenuse)

3^2 + 4^2 = c^2 (c is the length of the ladder)

9 + 16 = c^2

25 = c^2

c = √25 (square root)

c = 5

Answer:

blahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

what goes around always come back around

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!9

Answers

Answer:

A. 1/5

Step-by-step explanation:

1. The formula to find the slope of a line given two points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].

y_2 = y-coordinate of point 2y_1 = y-coordinate of point 1x_2 = x-coordinate of point 2x_1 = x-coordinate of point 1

2. (Solving)

[tex]\frac{(3)-(2)}{(4)-(-1)}[/tex] [tex]\frac{1}{4+1}[/tex] [tex]\frac{1}{5}[/tex]

Therefore, the answer is A. 1/5.

[tex]\huge \bf༆ Answer ༄[/tex]

Consider two points (-1 , 2) and (4 , 3)

Slope (m) of the graph is : -

[tex] \sf \dfrac{y2 - y1}{x2 - x1} [/tex]

[tex] \sf\dfrac{3 - 2}{4 - ( - 1)} [/tex]

[tex] \sf \dfrac{1}{4 + 1} [/tex]

[tex] \sf\dfrac{1}{5} [/tex]

[tex]꧁  \:  \large \frak{Eternal \:  Being } \: ꧂[/tex]

Solve the system of linear equations by elimination.

3x−30=y
7y−6=3x

























Solve the system of linear equations by elimination.

3x−30=y
7y−6=3x

Answers

Hey! Hopefully this helped :)

solving systems of equations in three variables

Answers

Answer:

Option B: (x= -8, y=10, z=-6)

Step-by-step explanation:

2x + 4y + 3z = 6 ... eq.(1)

5x + 8y + 6z = 4 ... eq.(2)

4x + 5y + 2z = 6 ... eq.(3)

From eq.(1),

2x= 6 - 4y - 3z

x= (6-4y-3z)/2 ... eq.(4)

Putting x as (6-4y-3z)/2 in both eq.(2) and eq.(3)

In eq.(2),

5[(6-4y-3z)/2] +8y +6z =4

Multiplying through by 2

5(6-4y-3z) + 16y + 12z = 8

30-20y-15z+16y+12z = 8

22= 4y + 3z ... eq(5)

In eq.(3),

4[(6-4y-3z)/2] +5y +2z = 6

2(6-4y-3z) +5y + 2z =6

12-8y-6z + 5y +2z = 6

6= 3y + 4z ... eq.(6)

Multiplying eq.(5) and eq.(6) by 3 & 4 respectively

66=12y + 9z ... eq(8)

24=12y + 16z ... eq(9)

Subtracting eq(8) from eq(9)

42= -7z

z= -42/7

z = -6

Putting z as -6 in eq.(5)

22= 4y + 3(-6)

22= 4y -18

4y = 40

y = 40/4

y = 10

Putting y as 10 and z as -6 in eq(4)

x = [6 - 4(10) - 3(-6)]/2

x = (6 - 40 - 18)/2

x = -16/2

x = -8

x= -8, y= 10 , z= -6

Someone plz help me :(

Answers

Answer:

B) 7 - 5x

Step-by-step explanation:

7 - 5x is the difference between the number 7 and the product of 5 and 'x'

I think the Answear is B

simplify this addition x+(-x)+r​

Answers

It would be r because the x and -x would cancel each other out and you would be left with a positive r. You wouldn’t write the zero in either because not it is useless

Miss Jenkins owns an electronics shop. She order 27 laptops at £413 each. Miss Jenkins sells the 27 laptops for £600 each Work out the profit.​

Answers

Answer:

You need to find the difference to show how much profit she makes. Subtract her cost of $413.00 from her selling price of $600.00 it will give you the difference, which is her profit.

Step-by-step explanation:

Answer:

she got 5049$ back in profit

Step-by-step explanation:

First count how much numbers are away from 413 to 600 you get 187

Next you Multiply 187 x 27 = 5049$

if 9^x = 1/27, find the value of x

Answers

[tex]9^x = \dfrac 1{27}\\\\\implies (3^2)^x = \dfrac{1}{3^3}\\\\\implies 3^{2x} = 3^{-3}\\\\\implies 2x = -3 \\\\ \implies x = -\dfrac 32[/tex]

the greatest common factor of 12x^2y^3 and 24xy^2 is

Answers

Answer:  (12xy^2)

Step-by-step explanation:

12x^2y^3

(12xy^2)*(xy)

24xy^2

(12xy^2)*(2)

The greatest common factor of the expressions 12x²y³ and 24xy² will be 12xy².

What is the greatest common factor?

Simply said, it is the biggest common element. The highest consistent element in the above example is 15, making 15 the greatest common factor amongst 15, 30, and 105. The biggest chunk of the common factors is called the "Greatest Common Factor" (of two or more numbers).

The expressions are given below.

12x²y³ and 24xy²

The factor of the expression 12x²y³ is given as,

12x²y³ = 12 × x × x × y² × y

The factor of the expression 24xy² is given as,

24xy² = 2 × 12 × x × y²

The common factors in both expressions are 12, x, and y². Then the greatest common factor will be given as,

⇒ 12 × x × y²

⇒ 12xy²

The best normal component of the articulations 12x²y³ and 24xy² will be 12xy².

More about the greatest common factor link is given below.

https://brainly.com/question/11221202

#SPJ2


[tex] \frac{2 + 3i}{3 + 4i} [/tex]
find the value quickly​

Answers

[tex]\frac { 2 + 3 i } { 3 + 4 i }[/tex]

[tex]=\frac{\left(2+3i\right)\left(3-4i\right)}{\left(3+4i\right)\left(3-4i\right)} [/tex]

[tex]=\frac{\left(2+3i\right)\left(3-4i\right)}{3^{2}-4^{2}i^{2}} [/tex]

[tex]=\frac{\left(2+3i\right)\left(3-4i\right)}{25} [/tex]

[tex]=\frac{2\times 3+2\times \left(-4i\right)+3i\times 3+3\left(-4\right)i^{2}}{25}[/tex]

[tex]=\frac{2\times 3+2\times \left(-4i\right)+3i\times 3+3\left(-4\right)\left(-1\right)}{25} [/tex]

[tex]=\frac{6-8i+9i+12}{25} [/tex]

[tex]=\frac{6+12+\left(-8+9\right)i}{25} [/tex]

[tex]=\frac{18+i}{25} [/tex]

[tex]=\boxed{\frac{18}{25}+\frac{1}{25}i=0.72+0.04i}[/tex]

_______

Hope it helps :) ⚜

Mr pilgrim needs fencing for his turkey coop the perimeter is 240 yards the length is 16 yards longer than the width

Answers

Based on the information given, the length will be 68 yards while the value of the width will be 52 yards.

Width = wLength = w + 16

The calculation will go thus:

Perimeter = 2l + 2w

240 = 2(w + 16) + 2w

240 = 2w + 32 + 2w

240 = 4w + 32

4w = 240 - 32

4w = 208

w = 208/4 = 52

Therefore, the length will be:

= w + 16 = 52 + 16 = 68

Read related link on:

https://brainly.com/question/25748983

please help i really need it.
change the subject of the formula to x
x/6 − 5 = w​

Answers

Step-by-step explanation:

x/6=w+5

x=6(w+5)

x=6w+30.

hope this helps you.

The value of x is x = 6w + 30

Data;

[tex]\frac{x}{6} - 5 = w[/tex]

Subject of Formula

This is a mathematical terms used to represent a value from an entire equation.

In the given equation, we are given a value required to make x the subject of formula

Step 1

Add 5 to both sides of the equation

[tex]\frac{x}{6}-5 + 5 = w + 5\\\\\frac{x}{6} = w + 5[/tex]

Step 2

Cross multiply both sides

[tex]\frac{x}{6} = w + 5\\\frac{x}{6} = \frac{w+5}{1} \\x(1) = 6(w+5)\\x = 6(w+5)\\x = 6w + 30[/tex]

From the calculations above, the value of x is x = 6w + 30

Learn more on subject of formula here;

https://brainly.com/question/790938

I will give brainliest

Answers

Answer:

His average monthly payment is $730.83

Step-by-step explanation:

700+650+750+760+785+880+700+725+700+750+720+650=8,770

8,770/12 = 730.83

Not sure on this. (Im really bad at math)

Answers

Answer:

13. C

14. B

Step-by-step explanation:

yeah-ya........... right?

Find the surface area of each prism

Answers

Answer:

3.  SA =  876 [tex]in^{2}[/tex]

4.  SA =  161 [tex]ft^{2}[/tex]

Step-by-step explanation:

       Number 3.

To find the total Surface Area, we need to know all the side lengths which are used to multiply to find the Area of each side. Then add the areas of all the sides to get the total SA.

       To find side lengths:

Assuming the back triangle (24, 10 in) is congruent to the front triangle (26in.): First, Knowing the Pythagorean triples or the Pythagorean theorem, we can conclude that the short bottom leg in the triangle on the right (6, 10, x in) is     8 in.                                                                                                               Secondly, to find the leg of the triangle with a hypotenuse of 24 inches, we subtract: 26 - 8 = 18 in.

Now we know all the (needed) side lengths.

       To find the Surface Area:

Total SA  =  (12 x 26) + (12 x 24) + (12 x 10) + 2 x ((6 x 18 x 0.5) + (6 x 8 x 0.5))

               =  312 + 288 + 120 + 2 x (54 + 24)  =  720 + (2 x 78)

               =  876 [tex]in^{2}[/tex]

       Number 4.

Same Idea: To find the Total SA, we need to know all the side lengths which are used to multiply to find the Area of each side. Then add the areas of all the sides to get the total SA.

Assuming the back triangle (7ft) is congruent to the front triangle (5x5 ft), then in this case, we already know all the needed side lengths.

       To find the Surface Area:

Total SA  =  2 x (8 x 5) + 2 x (5 x 5 x 0.5) + (7 x 8)

               =  80 + 25 + 56

               =  161 [tex]ft^{2}[/tex]

I already Have the answer but can u guys show the work?

Answers

Hope this helps!!!
…………..

Solve for z.
5.8 + 1 = z

Answers

Answer:

5.8 + 1 = z

6.8

Step-by-step explanation:

There are no variables in this equation. So you just add 5.8 + 1

Answer:

5.8+1=6.8

Step-by-step explanation:

'z' is a variable representing an unknown number. In this case, z is the answer, since the equation is 5.8+1=z. All you do is add 5.8 and 1 like this:

5.80

+1.00

_____

6.80

or 6.8

6.8=z

Note: The zero after the numbers does not change the answer.

Hope this helped! :)

Please answer this question

Answers

Answer:

12 12 18 1816 2888

Step-by-step explanation:

Just add on top and subtract on bottom

PLEASE HELP!

Using the diagram and information below to create and solve an equation. Don’t forget to show all of your work and label your answer.

m∠2 = (y + 10)° and m∠4 = (3y – 24)°


What is m∠2?

Answers

Answer:

m∠2 = 17°

Step-by-step explanation:

y + 10 = 3y - 24

34 = 2y

17 = y

"find 48 divided by 2 using the distributive property"

Answers

Step-by-step explanation:

48 ÷ 2 = ...

= (12 ÷ 2) + (12 ÷ 2) + (12 ÷ 2) + (12 ÷ 2)

= 6 + 6 + 6 + 6

= 12 + 12

= 24

Find the missing side of the right
triangle.
7
4
Х
x= [?]
Enter the number that belongs in the green box,

Answers

Step-by-step explanation:

using Pythagoras theorem,

(hypotenuse)² = (perpendicular)² + (base)²

given that, hypotenuse =x, perpendicular =7, base =4

(x)² = 7² + 4²

(x)² = 49 + 16

x = √65

Which of the following is(are) the solution(s) to |11x +3 = 6 ?

Answers

exact form: x = 3/11

decimal form: x = 0.27

Which point is a solution for the inequality 3x – 2y < 5


a (3, 2)

b (2, 3)

c (5, 2)

d (8, 5)

how do I solve this?

Answers

You can solve this by substituting each x value and y value into the inequality to see if they work. If they do, that point is a solution.

3*3 - 2*2 < 5
9 - 4 < 5
5 < 5
False

3*2 - 2*3 < 5
6 - 6 < 5
0 < 5
True

3*5 - 2*2 < 5
15 - 4 < 5
11 < 5
False

3*8 - 2*5 < 5
24 - 10 < 5
14 < 5
False

B. (2, 3) is the only point that worked, so that is the answer! :D
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