Find the the sum for the shown infinite geometric series?
2,2/3, 2/9, ...

Answers

Answer 1

Answer:

3

Step-by-step explanation:

The formula for the sum of an infinite geometric series is

[tex]\frac{a}{1-r}[/tex]

Where a is the first term and r is the common ratio. We can see that the first term is 2, and to find the common ratio, we can divide a term by the one before it. We can get:

[tex]\frac{\frac{2}{3}}{2} =\frac{2}{3} *\frac{1}{2}=\frac{1}{3}[/tex]

Now, we have all the values need to evaluate the formula. We can plug them in:

[tex]\frac{2}{1-\frac{1}{3} } \\\frac{2}{\frac{2}{3} } \\2*\frac{3}{2}\\3[/tex]


Related Questions

Find the value of x.
6x
2x
11.25
0 16.25
58
032

Answers

Answer:

x = 11.25

Step-by-step explanation:

The sum of the angles is 90 degrees since it is a right angle

6x+2x = 90

8x = 90

Divide each side by 8

8x/8 =90/8

x =11.25

PLS HELP
AND PLEASE EXPLAIN

Answers

Answer:

x=6, y=5 1/3 or 5.3333

Step-by-step explanation:

need help!! will give brainliest 2 whoever can give the right answer.

Answers

Answer:

Step-by-step explanation:

i dont know

Find the value of x to the nearest tenth.

tan x° = 3.5


0.1


74.5


74.1

Answers

Answer:

74.1

Step-by-step explanation:

74.05 rounds to 74.1

A tire has a diameter of 42 inches. How far along the ground does the tire travel if it rolls and makes 5 revolutions? Use 3.14 as an approximation for

Answers

Answer:

659.4 inches

Step-by-step explanation:

C = 2*3.14*21

C = 131.88

131.88*5 = 659.4 inches

Which of the following set of angles is possible for a triangle

Answers

Answer:

2. Isosceles

4. 25, 65, 90

Step-by-step explanation:

Isosceles triangles have two equivalent sides

All the interior angles of triangles always add up to 180 degrees

License plates are made using 2 letters followed by 4 single digits. If any letter can be only used once but the digits can be repeated how many plate numbers are available?

Answers

Answer:

6,500,000

Step-by-step explanation:

Here, we first need to find all the possible selections for the code.

Then, we need to find the number of options for each one of these selections.

We have, 2 letters followed by 4 single digits.

There are 26 letters

There are 10 single digits.

For the first letter, we have 26 options.

For the second letter, we have 25 options (because one is already taken, and we can repeat that)

And for each one of the numbers, we have 10 options (we can repeat the numbers)

The total number of options for the code, is equal to the product of all the numbers of options for each selection, then the total number of possible plate numbers is:

C = 26*25*10*10*10*10 = 6,500,000

100 POINTS!!!!! help me with this and I swear on my life and everything I will give u 100 points, check my profile points if u dont beleive me, must be right only after ill give u them

Answers

Answer:

7x + 5

12x^2 + 20x

2

Step-by-step explanation:

1. (g + h)(x)

We can also write this as g(x) + h(x). Next we can substitute in the expressions for each function:

g(x) + h(x)

3x + 5 + 4x

7x + 5

2. (g * h)(x)

We can also write this as g(x) * h(x). Next we can substitute in the expressions for each function:

g(x) * h(x)

(3x + 5) * (4x)

We can distribute 4x to both terms:

3x * 4x + 5 * 4x

12x^2 + 20x

3. (g - h)(3)

We can also write this as g(3) - h(3). We can separately evaluate g(3) and h(3):

g(3) = 3(3) + 5

g(3) = 9 + 5

g(3) = 14

h(3) = 4(3)

h(3) = 12

Now, we can plug in these two values:

g(3) - h(3)

14 - 12

2

Awnser this please and thank you if u don’t not give me bad awnsers I will give u a brainliest

Answers

Answer:

slope = 20

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (10, 200) ← 2 points on the line

m = [tex]\frac{200-0}{10-0}[/tex] = [tex]\frac{200}{10}[/tex] = 20

6. A two-story building measures 21 feet
from the ground. A scale model shows the
building to be 3 inches tall. How many inches
would an 84 foot building be in the model?
1
1
-
height:

Answers

Answer:

11.5 inches

Step-by-step explanation:

In circle M secants overline PAMD and overline PBC are drawn from point P such that m arc BM=100 and m arc CD=62. Which of the following is the measure of angle P?
1) 19
2) 22
3) 34
4) 40

Answers

I would say 22 hope that helped

what sum of money amounts to Rs 60000 in 2 years at the rate of 10% per annum find it​

Answers

Answer:

Rs.27000

Step-by-step explanation:

60000 ÷ 2 = 30000 per year

30000 × [tex]\frac{10}{100}[/tex] = Rs. 3000

30000 - 3000 = Rs. 27000

Which expression is represented by this model

Answers

Answer:

A

Step-by-step explanation:

The distance between 0 and 4/6 is 4/6. This distance is repeted two times

so we have 4/6 + 4/6 or 2 x 4/6

A square with side 3cm has the same perimeter as a rectangle 5cm long find the difference in they areas

Answers

all sides of a square are the same, add all the sides up for a perimeter of 12 (3 + 3 + 3 + 3=12). a rectangle that’s 5cm long will have another side that is also 5cm long, so add those and you’ll get 10. to achieve the same perimeter, you’d need to add 2, which means the other two sides are 1cm (10 + 1 + 1 = 12). you multiply the length and the width of both shapes to get their areas.
square: 3 x 3 = 9
rectangle: 5 x 1 = 5
then, subtract the areas from each other.
9 - 5 = 4
the difference in their areas is 4.

A Ferris wheel car moves from point C to point D on the circle shown below:

Circle A is shown with points C and D on the circle and the central angle C A D marked 45 degrees. The diameter is 15 feet.

What is the arc length the car traveled, to the nearest hundredth?

5.89 feet
6.23 feet
7.46 feet
8.15 feet

Answers

Answer:

5.89 feet.

Step-by-step explanation:

I just took the test :)

The arc length the car traveled, to the nearest hundredth is 5.88 feet, the correct option is A.

What is a Circle?

A circle is a round-shaped figure with all points lie in the same plane, the distance between all the points on the circle and the center of the circle is equal.

The line that passes through the center of the circle and has end point on the circumference is called the diameter, the radius is half the measure of the diameter.

A Ferris wheel car moves from point C to point D on the circle.

Circle A is shown with points C and D on the circle and the central angle C A D marked 45 degrees.

The diameter is 15 feet.

The arc length is determined by using the formula

L = ( [tex]\rm \theta[/tex]/ 360) * 2 π r

L = ( 45 / 360) * 2 * 3.14 * r

r =  diameter / 2

r = 15/2 = 7.5 ft

L =  ( 45 / 360) * 2 * 3.14 * 7.5)

L = 5.8875 ft

L = 5.89 feet.

To know more about Circle

https://brainly.com/question/11833983

#SPJ5

13. Jack has to make at least $140 per week mowing lawns. He makes $20 per lawn. At least
how many lawns does he need to mow?

Answers

Answer:

7

Step-by-step explanation:

you divide 140 by 20 & it gives you 7 i hope this helps ..

What is the approximate measure of the length of the tennis court, x? A. 49.9 ft B. 72.0 ft C. 93.1 ft D. 78.0 ft​

Answers

b. 72.0 is the answer to this

Hari's weekly allowance varies depending on the number of chores he does. He received $24 in allowance the week he did 16 chores, and $18 in allowance the week he did 4 chores. Write an equation for his allowance in slope-intercept form.
i need help!

Answers

Answer:

y = (1/2)x + 16

Step-by-step explanation:

General point/slope form is

y = mx +b (the two points given are (4,18) and (16,24))

slope = rise/run = (24-18)/(16-4) = 6/12 = 1/2

y = (1/2)x + b

pick one point (4,18) and plug in

18 = (1/2)4 + b

18 = 2 + b

b = 16 (he still gets $16 for zero chores)

So

y = (1/2)x + 16

help me please this due in 20 mins dont add a link you'll get reported

Answers

Answer:3

Step-by-step explanation:

3-6*12

87the answer is 4


Write down the percentage multiplier used to decrease an amount by 45%

Answers

45% as a multiplier is 0.45

?????????!!?????????????!!!????

Answers

Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

[tex]2h-3\ \textgreater \ 15[/tex]

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{2h - 3 }\mathsf{>}\large\textsf{ 15}[/tex]

[tex]\large\text{ADD 3 to BOTH SIDES}[/tex]

[tex]\large\textsf{2h - 3 + 3 }>\large\textsf{ 15 + 3}[/tex]

[tex]\large\text{CANCEL out: \textsf{-3 + 3} because that gives you 0}[/tex]

[tex]\large\text{KEEP: \textsf{15 + 3} because it helps you solve for your h-value}[/tex]

[tex]\large\textsf{15 + 3 = \boxed{\large\textsf{\bf 18}}}[/tex]

[tex]\large\text{NEW EQUATION: \textsf{2h} }\mathsf{>}\large\textsf{ 18}[/tex]

[tex]\large\text{DIVIDE 2 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{2h}{2}>\dfrac{18}{2}}[/tex]

[tex]\large\text{CANCEL out: }\mathsf{\dfrac{2}{2}}\large\text{ because it gives you 1}[/tex]

[tex]\large\text{KEEP: }\mathsf{\dfrac{18}{2}}\large\text{ because it gives you your h-value is being compared to}[/tex]

[tex]\large\text{NEW EQUATION: }\mathsf{h > \dfrac{18}{2}}[/tex]

[tex]\mathsf{\dfrac{18}{2}}[/tex]

[tex]\mathsf{= 18\div 2}[/tex]

[tex]=\boxed{\mathsf{\large\textsf {\bf 9}}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf h > 9}}}\huge\checkmark\\\\\boxed{\boxed{\rm \bf It\ it\ an\ O P E N E D\ circle\ shaded}}\\\boxed{\boxed{\rm \bf to\ the\ right\ starting\ at\ point\ 9}}\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Problem:

[tex] \quad \quad \quad \quad\tt{2h - 3 > 15}[/tex]

Let's solve!

[tex] \quad \quad \quad \quad\tt{2h - 3 > 15}[/tex]

Add both sides by 3.

[tex] \quad \quad \quad \quad\tt{2h - 3 + 3 > 15 + 3}[/tex]

[tex]\quad \quad \quad \quad\tt{2h \: \: \cancel{ \color{red}- 3 + 3} \: > 15 + 3}[/tex]

[tex]\quad \quad \quad \quad\tt{2h > 18}[/tex]

Divide it by 2.

[tex]\quad \quad \quad \quad\tt{ \frac{2h}{2} > \frac{18}{2} }[/tex]

[tex]\quad \quad \quad \quad\tt{ \frac{ \cancel{ \color{red}2}h}{ \cancel{ \color{red}2}} > \frac{18}{2} }[/tex]

[tex]\quad \quad \quad \quad\tt{ h > \frac{18}{2} }[/tex]

[tex]\quad \quad \quad \quad\tt{ h > 9}[/tex]

Hence the answer is:

[tex]\quad \quad \quad \quad \boxed{\tt { \color{green}h > 9}}[/tex]

________

#LetsStudy

Find area of the composite figure..

Answers

Answer:

627square inches

Step-by-step explanation:

Area of the composite figure.. = area of triangle + area of parallelogram

Since the triangle is an equilateral triangle;

Area of the triangle = r²sintheta

Area of the triangle = 18²sin60

Area of the triangle = 324sin60

Area of the triangle  = 324(0.8860)

Area of the triangle = 280.584 square in

Area of the triangle = 281 square inches

Area of parallelogram = absintheta

Area of parallelogram = 20(20)sin60

Area of parallelogram = 400(0.8660)

Area of parallelogram = 346.4square inches

Area of parallelogram = 346 square inches

Area of the figure = 346  + 281

Area of the figure  = 627square inches

what is the pattern rule for 1. 25, 1, 0.75, 0.50,0.25

Answers

Answer:

-0.25n + 1

Step-by-step explanation:

Difference between all numbers: -0.25

Hence,

[tex]t_n = -0.25n + 1[/tex]

Feel free to mark it as brainliest :D

Taylor has eight more than four times as many stickers as her sister. Which expression represents the number of stickers that Taylor has if the variable s represents the number of stickers that her sister has?
A 8s+4
B 4s+8
C 4+s+8
D 12s​

Answers

Answer:

It would be B

Step-by-step explanation:

HI could some please help me out , I will give BRAINLEST

Answers

The answer is y = -1/3x + 2

Because the y intersect is located at (0,2) we know that the b value in the formula y=mx + b is 2 and using rise over run we determine the slope to be -1/3

Answer:

[tex]y=-1/3x+2[/tex]

--------------------------

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]=\frac{2-1}{0-3}[/tex]

[tex]=1/-3[/tex]

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-1=-1/3(x-3)[/tex]

[tex]y-1=-1/3x+1[/tex]

[tex]y=-1/3x+2[/tex]

--------------------

hope it helps...

have a great day!!

A cylindrical can is 16 cm in diameter and 25 cm in
height. You want to enlarge the diameter of the can to
20 cm. What must the height be if the new can still has
the same volume?

Answers

Answer:

Step-by-step explanation:

mean absolute deviation of 50 51 56 59

Answers

i think it’s 3.5

The mean deviation is a measure of dispersion, A measure of by how much the values in the data set are likely to differ from their mean. The absolute value is used to avoid deviations with opposite signs cancelling each other out.

An Australian Wallaby walked 5 miles to the coast in 3 and 3/4 hours. What was the wallabys speed in miles per hour?

Answers

Answer:

1 1/3 mph

Step-by-step explanation:

distance = rate x time

5 = 3.75r

5/3.75 = r

r = 1 1/3 mph

A quadratic equation that has x-intercepts of (-2,0) and (8,0), a stretch of 3 and a vertex is a minimum. Find the equation of the parabola

Answers

Answer:

c) The standard form of the quadratic equation, y = a·x² + b·x + c

The standard form of the quadratic equation is y =  3·x² - 18·x - 48.

Step-by-step explanation:

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