. Find the sum of the infinite series, if it exists.

-270+135-67.5+⋯

Answers

Answer 1

Answer:

-180

Step-by-step explanation:

135/-270 = -1/2

67.5/135 = -1/2

The series is an infinite geometric series with r = -1/2

Since -1 < |r| < 1, the series has a sum

and equals a/(1 - r)       a = -270

S = a/(1 - r) = -270/(1 + 1/2) = -270/(3/2) = -180


Related Questions

If point P, located at (6, -2), is rotated 270
counterclockwise about the origin, what
are the coordinates of its image, P'?
A. (6,2)
B. (2,6)
C. (-2,-6)
D. (-2,6)
Help!!!!!!!!!

Answers

Answer:

hey i think it is -2,-6

Step-by-step explanation:

8) The volume of a cuboid 12cm long 9 sm broad and 6 cm high is
a) 648 cm b) 648 m3
c) 648 cm3 d) 648 m​

Answers

[tex] \color{magenta} \huge{ \tt{{Answer}}}[/tex]

8.) The volume of a cuboid 12cm long 9 sm broad and 6 cm high is?

A.) 648 cm

Note: My answer is base on my understanding to your question.

Hopefully Help:)

#CarryOnLearning

_MafiaQueen4

What is the value of x?
26°
to
X =
= [?]

Answers

Answer:

x = 154°

Step-by-step explanation:

The central angle and the angle between the tangents are supplementary, so

x + 26° = 180° ( subtract 26° from both sides )

x = 154°

Find the value of x if 2x = 20 .​

Answers

Answer:

x = 10

Step-by-step explanation:

Divide both sides by 2.

(2x) / 2 = 20 / 2

x = 10

Answer:

The answer is going to be 10.

Step-by-step explanation:

1) Diving both sides by 2.

[tex]x = \frac{20}{2} [/tex]

2) Simplify 20/2 to 10 because 20 ÷ 2 is 10.

[tex]x = 10[/tex]

Therefor, the answer for x is x = 10.

Use a factor tree or similar method to write 4400 as a product of
prime factors. Display your factor tree in your answer. If you
choose to use an alternative method, clearly show your working:
just writing down the answer is not sufficient.

Answers

Answer:

4,400 = 44 * 100

44 = 2 * 2 * 11

100 = 2 * 2 * 5 * 5

prime factors = 2 * 2 * 2 *2 * 5 * 5 * 11

Step-by-step explanation:

pls help figure out part c, part e, and part f

Answers

part c : consecutive interior angle
part e: alternate interior angle
part f : vertical angle

What are the slope and y-intercept of line r and line s?​

Answers

Answer:

S y-intercept (0,2)

R y intercept (0,0)

Step-by-step explanation:

PLEASE HELP YOU’LL GET 15 POINTS

358.41x10^5 in standard form

Answers

Answer:

35,841,000

Step-by-step explanation:

358.41x10^5

Move the decimal 5 places to the right

35,841,000

What is the value of x?
26°
x =
= [?]

Answers

Answer:

154°

Step-by-step explanation:

The central angle and the angle between the tangents are supplementary, so

x + 26° = 180° ( subtract 26° from both sides )

26 - 26 = 0

180 - 26 = 154

x = 154°

Need to find JL Please awnser

Answers

Answer:

is that paper omg your in school lucky

Can someone please help my son on his work he broke both of his arms in a car crash please

Answers

Answer:

https://brainly.com/question/23106827?answeringSource=feedPublic%2FhomePage%2F4

Step-by-step explanation:

if b=15 and c=17 what would a =​

Answers

a would most likely be 13

Gerald has a bag of 10 colored balls: 3 green, 3 red, and the rest yellow. He randomly draws two balls, one at a time without replacement. Find the probability of drawing at least one yellow ball.

Answers

Answer:

2/3

Step-by-step explanation:

Probability is the ratio of the number of possible outcome to the number of total outcome.

Given that there are 10 balls of which 3 green, 3 red, and the rest yellow

Number of yellow balls = 10 - 3 - 3 = 4

Probability of picking a;

Green ball  = 3/10

Red ball = 3/10

Yellow ball = 4/10

If two balls are picked without replacement, the probability that one is at least yellow will be

YR RY YG GY YY

= 4/10*3/9 + 3/10*4/9 + 4/10*3/9 + 3/10*4/9 + 4/10*3/9

=12/90 *5

= 2/3

How do I solve 4y-gon. The answer is 360(2y-1) but I don’t know how to show my work for it

Answers

Answer

search how they got the answer

Step-by-step explanation:

Karen has a new job as a teacher's aide. Her annual salary is $26,210. What is her bi-weekly salary? Round your answer to the nearest cent.

Answers

Answer:

$1008.08

Step-by-step explanation:

biweekly is every 2 weeks

52/2 = 26

$26,210/26 = $1008.08

Plz help me with this one!

Answers

Step-by-step explanation:

[tex]y = x + 5 \: \: \: \: y = - 3x + 1 \\ y = x + 5 \: \: \: \: x + 5 = - 3x + 1 \\ y = x + 5 \: \: \: \: 4x = - 4 \\ y = x + 5 \: \: \: \: x = - 1 \\ y = 4 \: \: \: \: x = - 1[/tex]

A triangle with an area of 36 square meters has a base that is 10 meters long. What is the height of the triangle

Answers

The height of the triangle would be

7.2 bc

10x7.2:72

So to find the area of a triangle u have to divide by 2, so

72 divided by 2 is 36, so 7.2 is the height

if 1 inch is = to 5 mile then what is the actual distance in 2.5 inches

Answers

Answer:

Step-by-step explanation:

1 in^2 = 5 mi * 5 mi = 25 mi^2

2.5 in^2 (25 mi^2/in^2) = 62.5 mi^2

What is the value of the expression 3 x 5 + 32 ?
I just need to know if I put the answer or the expression

Answers

Answer:

3x³+32

Heart if it helped

Answer:

u just simplify the expression

the answer is 50

Step-by-step explanation:

Which is other endpoint of line segment with one endpoint at (1,3) and midpoint (3,5)

Answers

Answer:(9,3)

Step-by-step explanation:

Determine if the given value is a solution of the inequality. Show your work.

7 – 2y > 3y + 13; y = -1

Answers

Given:

[tex]7-2y>3y+13[/tex]

To find:

The whether the value [tex]y=-1[/tex] is a solution of the given inequality or not.

Solution:

We have,

[tex]7-2y>3y+13[/tex]

It can be rewritten as

[tex]-2y-3y>13-7[/tex]

[tex]-5y>6[/tex]

Divide both sides by -5 and change the inequality sign.

[tex]y<\dfrac{6}{-5}[/tex]

[tex]y<-1.2[/tex]

All the value of y less -1.2 are the solutions of the given inequality but -1 is greater than -1.2.

[tex]-1>-1.2[/tex]

Therefore, [tex]y=-1[/tex] is not a solution of the given inequality.

2. Lin and her friends went out for ice cream after school. The following questions came up during their trip. Select all the questions that are statistical questions.

What is the most popular ice cream flavor this week?

Do kids usually prefer a cup or a cone?

What does a group of 4 people typically spend on ice cream at this shop?

How many toppings are there to choose from?

How far are we from the ice cream shop?

Answers

Answer:1: The top pick among US adults is a classic: chocolate ice cream. Close to one in five (17%) Americans say this is their favorite flavor. Vanilla (15%) is also a popular choice, coming in ahead of strawberry (8%), mint chocolate chip (8%), butter pecan (8%), chocolate chip cookie dough (6%), and cookies n crème (6%).

2:More than 37 percent of respondents prefer to eat their ice cream in a cup or bowl, followed by 26 percent preferring a cone, 12 percent opting to eat ice cream out of the carton, 11 percent enjoying a sundae, 10 percent choosing a milkshake and 6 percent preferring an ice cream cookie sandwich.

heres 1 and 2

Step-by-step explanation:

Selected statistical questions:

What is the most popular ice cream flavor this week?Do kids usually prefer a cup or a cone?What does a group of 4 people typically spend on ice cream at this shop?How many toppings are there to choose from?

What is sample space?

The sample space S of a random experiment is defined as the set of all possible outcomes of an experiment. In a random experiment, the outcomes, also known as sample points, are mutually exclusive

The following traits can be used to recognize a statistical query:

It entails gathering or studying data.It cannot be replied to with a straightforward yes or no.It queries dispersion or variability within a population or group of data.It aims to derive broad inferences from data.It provides for a variety of potential solutions or results.

Selected statistical questions:

What is the most popular ice cream flavor this week?Do kids usually prefer a cup or a cone?What does a group of 4 people typically spend on ice cream at this shop?How many toppings are there to choose from?

Learn more about sample space here:

brainly.com/question/30206035

#SPJ2

Donna borrowed $10, 500 at a simple interest rate of 4% for 3 years to buy her new car. How much interest would Donna pay and how much is the car altogether?

Answers

Question:-

Donna borrowed $10,500 at a simple interest rate of 4% for 3 years to buy her new car. How much interest would Donna pay and how much is the car altogether ?

Answer:-

Given:-

[tex] \bullet [/tex] Principal (P) = $10,500

[tex] \bullet [/tex] Rate of interest (r) = 4%

[tex] \bullet [/tex] Time (t) = 3 years

To Find:-

Interest of Donna and amount of car altogether.

Solution:-

We know,

[tex] { \boxed{\rm \red {I \: = \frac{Prt}{100}}}} [/tex]

[tex] \therefore [/tex] I = [tex] \frac{10,500 \: × \: 4 \: × \: 3}{100} [/tex]

I = [tex] \frac{126,000}{100} [/tex]

I = $1260

Now,

Amount of the car = $ (10,500 + 1260)

= $ 11,760

$1260 interest would Donna pay and $11,760 is the car altogether. [Answer]

Step-by-step explanation:

We know that Interest = Principal×Rate×Time/100

So,

10,500×4×3/100

= 10,500×3/25 (by cancelling 100 by 4)

=31500/25

= 1260

Therefore,

$1260 Answer

hope it helps.....

find the missing number in each below

1. (8+9)+10=8+(_+10)
2. 46+(_+4)=46+4)+50
3. 2,345=1900+_145
4. 12x(8+_)=12x8+12x2
5. 4x9=12x_=36
6. (8x5)x3=8x(5x_)

pasagot po plss​

Answers

9
50
445?
2
3
I think these are correct

Given Triangle ABC if sides AB is congruent to side AC, and angle B = 5x +9 , C = 8x-30 Then, find the value of X

Answers

Answer:

x = 13

Step-by-step explanation:

When we say side AB is congruent to Side AC it means both side are the same.

This is written Mathematically as:

AB = AC

We are asked to find x

angle B = 5x +9 , angle C = 8x-30

5x + 9 = 8x - 30

Collect like terms

9 + 30 = 8x - 5x

8x - 5x = 30 + 9

3x = 39

Divide both sides by 3

x = 39/3

x = 13

i REALLY need answers, like if you see this PLEASE answer it

Answers

-4, -1, 1, 3, 3.9, 3.999,

Help!! I'll give brainlist...​

Answers

Answer:

c

Step-by-step explanation:

- Pule, mpho
and
lese go are
are sharing R6oo
in
a ratio 2:3:1, How
much will each get?

Answers

Step-by-step explanation:

plz don't forget to add sentences

....

Which of the following images show a rotation of 270 counter-clockwise?

Answers

Answer:

top left

Step-by-step explanation:

Does any body know how to find Late Payment in Mathematics.​

Answers

Answer:

I don't believe there is a standard formula for late payments. The late payment charge would vary by the lending institution. Some may have their own formula and some may have a set charge.

Step-by-step explanation:

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