. 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

Check if (1,6) is the solution to the system shown below

Answers

Answer:

no

Step-by-step explanation:

To determine if (1, 6) is a solution, substitute x = 1, y = 6 into the left side of both equations and if the value obtained equals the right side then it is a solution.

10(1) - 6 = 10 - 6 = 4 ≠ - 6

- 10(1) + 5(6) = - 10 + 30 = 20 ≠ 30

Then (1, 6 ) is not a solution to the system

The area of the following parallelogram is 77m2. What is the length it’s base?

Answers

Answer:

11 maybe???

Step-by-step explanation:


PLSSSSSSSS SOMEONE HELPPPP

Answers

Answer:

(-2, -4)

Step-by-step explanation:

The awnser is -2,-4

B
39 m
Use the inverse trigonometric keys
on a calculator to find the measure
of angle A.
А
21 m
с
A=
(Round the answer to the nearest whole number.)

Answers

Answer:

the answer is 20 because you round of 21

Help plssss I need to find mr pryor account balance

Answers

Answer:

$1,462.50

Step-by-step explanation:

We are to find the total amount after 4 years

Principal => $1,250

Rate => 4.25%

The formula to find the total amount =

A = P(1 + rt)

First, converting R percent to r a decimal

r = R/100 = 4.25%/100 = 0.0425 per year.

Solving our equation:

A = 1250(1 + (0.0425 × 4)) = 1462.5

A = $1,462.50

The total amount accrued, principal plus interest, from simple interest on a principal of $1,250.00 at a rate of 4.25% per year for 4 years is $1,462.50.

Mancini's Pizzeria sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what he found. Type of Crust Number Sold Thin crust 312 Thick crust 245 Stuffed crust 179 Pan style 304

Answers

Question:

Mancini's Pizzeria sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what he found.

Type of Crust Number Sold

Thin crust          312

Thick crust          245

Stuffed crust          179

Pan style                  304

Based on this information, of the next  4500 pizzas he sells, how many should he expect to be thick crust? Round your answer to the nearest whole number. Do not round any intermediate calculations.

Answer:

1060 thick crusts

Step-by-step explanation:

Given

The above table

Required

Expected number of thick crust for the next 4500

For last week data, calculate the proportion of thick crust sold

[tex]\hat p = \frac{Thick\ crust}{Total}[/tex]

[tex]\hat p = \frac{245}{312+245+179+304}[/tex]

[tex]\hat p = \frac{245}{1040}[/tex]

[tex]\hat p = 0.235577[/tex]

For the next 4500;

[tex]n = 4500[/tex]

The expected number of thick crust is (E(x)):

[tex]E(x) = \hat p * n[/tex]

[tex]E(x) = 0.235577 * 4500[/tex]

[tex]E(x) = 1060.0965[/tex]

[tex]E(x) \approx 1060[/tex]

does anyone here know how to write negative 1 on there

Answers

Answer:

you fo to the fourth box on there and put - then go to the box after that and put 1

Step-by-step explanation:

sorry if im wrong

Rico and Darla each measured a side and height on the triangle below to find its area.
Rico’s side measured 7.5 m and Darla’s side measured 9 m.
Choose True or False for each statement.

A triangle with two base and side length measurements. One side length is nine meters, and the height from that side is five meters. The other side length is seven and five-tenths meters and the height from that side is six meters.
Darla can use either the height of 6 meters or the height of 5 meters to find the area of the triangle.
Choose...

If Darla uses the height of 6 meters and Rico uses the height of 5 meters, they will find the same area of the triangle.
Choose...

If Rico uses the height of 6 meters and Darla uses the height of 5 meters, they will find the same area of the triangle.
Choose...

The area of the triangle is 22.5 square meters.
Choose...

Answers

Answer: not sure

Step-by-step explanation:

pls help immediately!!! i’ll be giving brainiest to those who provide the write answer and who don’t leave a link!

Answers

Answer:

trapazoid

Step-by-step explanation:

.....

i believe it would be trapezoid :)

Someone help me please! With 3 and 4

Answers

22h=22
So h=1
This answer is the only mistake in the equation

Sophia drove 63 miles. Sophia's car used 2 gallons of gas. How many miles per gallon did Sophia car get?

Answers

Answer:

31.5 mi/gal

Step-by-step explanation:

[tex]63[/tex]÷[tex]2[/tex][tex]=31.5[/tex]

So, Sophia got 31.5 miles per gallon

Answer: 31.5 I think.

Step-by-step explanation:

Give other person brainliest

Can I get help with number 25 its really hard for me.

Answers

your answer is gonna be -4/3 !!

Describe two different way to find the product 4x2/3

Answers

Answer:

8/3

Step-by-step explanation:

1. 2 ÷ 3 = .66

.66 · 4 = 2.6

2. 4 × 2/3 =

4/1 × 2/3 = 8/3

good luck, i hope this helps :)

The Fast Repair Shop charges a $25 fee plus $30 an hour for labor. Write the equation for the cost of the repair job, y, if the repair job took x hours.​

Answers

Answer:

y=30x+25

Step-by-step explanation:

y=mx+b (slope-intercept formula)

y= amount of money per hour of labor

m= 30 (amount per hour, slope)

b= 25 (y-intercept, starting rate)

HELP PLEASE AND ASAP!!!!! look at the screen shot (10 pts)

Answers

Answer: 1/4

Step-by-step explanation:

3/12 simplified so divide the numerator and denominator by 3, you get 1/4

Answer B)1/4
3/12 = 0.25 or 1/4

• The ratio of cookies to eggs was 9 to
1, which means that?
? cookies
could be made using 3 eggs.

Answers

I got shot in the Hebrew morning I was going on the same day lol I was going on the balls in

SOMEONE HELPPPP PLEASEEEEEEEEEEEEEEEE

Answers

Answer:

No, Collin didn't reach his goal. He got a 81% on his test.

Step-by-step explanation:

Which of the following inequalities has the graphed solution below?
zzGroup of answer choices

x − 1 ≥ 0

x − 1 ≤ 0

x + 1 ≥ 0

x + 1 ≤ 0

Answers

I think either x + 1 >_0 or x - 1 >_0, but I personally would choose x + 1 >_0

Find the measure of each labeled angle A(3x-20) B(2x) C (2x-15)

Answers

Answer:

Measure of angle A = 100°

Measure of angle B = 80°

Measure of angle C = 65°

Step-by-step explanation:

From the given picture,

Angle A and angle B are the linear pair of angles, and linear pair of angles are supplementary angles,

m(∠A) + m(∠B) = 180°

(3x - 20)° + (2x)° = 180°

5x - 20 = 180

5x = 200

x = 40

By substituting the value of x in the measures of each angle,

m(∠A) = (3x - 20)°

          = 3(40) - 20

          = 120 - 20

          = 100°

m(∠B) = 2x°

          = 2(40)

          = 80°

m(∠C) = (2x - 15)°

          = 2(40) - 15

          = 80 - 15

          = 65°

jsut heklp plkease ive literally beegn sobbing for foirefver

Answers

Answer:

A. Side a is 7 inches long and side b is 6 inches long.

Step-by-step explanation:

a = 21/3 = 7

b = 18/3 = 6

Which expression is equivalent to -36 - 8?
Choose 1 answer:
36 + 8
Pro
B
8 - 36
Pro
Tea
-36 +(-8)
D
-8 + 36

Answers

-36-8 = -44

-36+(-8) = -44
third option

How can she might choose a random sample of five students from her class of 35 students?


Answers

Answer:

who?

Step-by-step explanation:

What is 2x+5g+7y+1.52x+32.6+5.1g+11.1+9y simplified?

Answers

3.52x+10.1g+16y+32.6

Answer:

10.1g+3.52x+16y+43.7

Step-by-step explanation:

Please help me with this questions please please ASAP ASAP please ASAP help please please ASAP please I'm begging you please please ASAP

Answers

Answer:

32

Step-by-step explanation:

The shapes are the same except for the direction so i think it would be 32

Answer:

32°

Step-by-step explanation:

quadrilateral ABCD is similar to quadrilateral WXYZ

Corresponding angles of similar polygons are congruent. We are told the two quadrilaterals are similar, so the pairs of corresponding angles are congruent.

You know angles are corresponding according to the statement of similarity is written.

quadrilateral ABCD is similar to quadrilateral WXYZ

The vertices are listed in the same order in both polygons showing which angles are corresponding.

<A corresponds to <W

m<W = m<A = 32°

Answer: 32°

Given –9x2 + 4y2 – 18x + 16y – 29 ≤ 0, which graph represents the inequality?

edge2021

Answers

Answer:

C.

Step-by-step explanation:

Edge2021

The graph of the answer is plotted and attached.

What is Inequality?

Inequality is the mathematical statement formed when two expressions are joined by an inequality operator.

The inequality is  –9x² + 4y² – 18x + 16y – 29 ≤ 0,

The inequality represents a hyperbolic inequality.

The graph of inequality is plotted and attached with the answer.

The shaded portion is the representation of inequality.

The shaded portion shows that the graph is a graph of a hyperbola.

To know more about Inequality

https://brainly.com/question/20383699

#SPJ5

I added the question and the example for reference. Please help! whoever is correct i will give brainliest!

Answers

Answer:

It would be 828 inches cubed

Step-by-step explanation:

Because the boxes on top and bottom are both 6x8x6 and the middle portion is 6x7x6

6x8x6=288

6x7x6=252

288+288+252=828

1. A cooler is in the shape of a rectangular
prism. What is the volume of the cooler?
Round to the nearest tenth if necessary.
I

Answers

Answer:

what is the answerrrrrrrrrrrrrrrrr

Step-by-step explanation:

The volume of the cooler is 2772 in³

What is a volume?

Volume is the amount of space taken up by an object

What is the volume of a rectangle?

The formula for calculating the volume of a rectangular prism is volume = length × width × height.

According to the question

Length= 22in.

breadth= 12 in.

width= 10 1/2  in. or 21/2 in.

So, the volume= 22× 12× (21/2)

                        =2772 in³

Thus the volume of a rectangular prism is 2772 in³

To check more about rectangular prism click here

https://brainly.com/question/21308855

#SPJ2

11 inches in miles?
24.5 km in miles?

Answers

Answer:

0.000173611 miles is 11 inches

15.22359 miles is 24.5km

Step-by-step explanation:

B. use the figur on the right side to classify the pair of Angeles.



________1.<5 and <1
________2.<6 and <3
________3.<7 and <2 ​

Answers

DON'T OPEN IT, IT WILL GIVE YOU A VIRUS!!!

The weather reporter says that there is a 12% chance that it will be moderately windy tomorrow.


What is the probability that it will not be windy? & Will tomorrow be a good day to fly a kite? Explain.

(______Be specific ya numptys______)

Answers

There is an 88% chance that it will not be windy tomorrow the probability for wind is not very good

The probability that it will not be windy is 88% or 0.88.

No, tomorrow be not a good day to fly a kite.

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means

The weather reporter says that there is a 12% chance that it will be moderately windy tomorrow.

Now, the probability that it will not be windy

= 100 - 12

= 88%

= 0.88

No, the lite totally depends on the wind but the next day the probability of no wind is 88%.

This probability is high probability.

So, there is huge probability that the kite will not fly.

Learn more about Probability here:

https://brainly.com/question/11234923

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