Find the sum of the infinite series: 15+110+120+... Write your answer as a fraction using the "/" as the fraction bar with no spaces.

Answers

Answer 1

9514 1404 393

Answer:

  2/5

Step-by-step explanation:

The common ratio is r = (1/10)/(1/5) = 5/10 = 1/2. The first term is a1 = 1/5.

The sum of an infinite geometric series is given by ...

  S = a1/(1 -r)

  S = (1/5)/(1 -1/2) = (2/10)/(5/10) = 2/5

The sum of the series is 2/5.

_____

It might stick in your head that the sum of 1 + 1/2 + 1/4 + 1/8 + 1/16 + ... is 2. The given series is 1/5 times that.

Answer 2

Answer:

the answer is 2/5

Step-by-step explanation:

:)))))


Related Questions

find the slope on the line that passes through the two given one points (-3,4) and (-3.-8)

Answers

Answer:

Undefined slope

Step-by-step explanation:

Points: (-3,4) and (-3,- 8)

Slope:

m=(y2-y1)/(x2-x1)

m=(-8-4)/(-3+3)

m=(-12)/0

Since 0 is the denominator, the slope is undefined.

Find f(-2) for the following problems.
Problem A: f(x) = x3 + 5
Problem B: f(x) = x2 - 2
Which statement is correct?
a
Problem A > Problem B
b
Problem A < Problem B
Problem A = Problem B
d
Cannot be determined

Answers

Answer:

a. Problem A > Problem B

Step-by-step explanation:

Problem A:

f(x) = x3 + 5

f(-2) = (-2)3 + 5

f(-2) = (-6) + 5

f(-2) = -1

Problem B:

f(x) = x2 - 2

f(-2) = (-2)2 - 2

f(-2) = (-4) - 2

f(-2) = -6

Help please! I don’t understand this.

Answers

Answer:

A=81.49m^2 I think that's the right answer, I hope I could help you.

hii pls help i’ll give brainliest

Answers

Answer:

1A:   -282 < 203

1B:    -282 < 157

Step-by-step explanation:

The examples below is gonna be comparing x and y, two variables that have some random definition that I don't wanna talk about. :D

This is talking about inequalities, which mean greater than, greater than or equal to, less than, less than or equal to, which is about comparing two or more sets of data.

Death Valley has the least elevation as can be seen by comparing the -282, the 203, and the -157.

We can easily set up the inequalities, as Death Valley has the least, so

Death Valley < Tallahassee, Westmorland

That sign between the three locations mean that Death Valley has less value than the other two.

Tallahassee has the highest elevation, as the other two locations, Death Valley and Westmorland are both in the negatives.

We know that -157 is greater than -282, as it is closer to 0.

Therefor, Death Valley is the least, and Tallahassee is the highest.

NOTE: THE VALUES ARE TALKING ABOUT SEA LEVEL. THE ELEVATION OF THE LOCATIONS RELATIVE TO THE SEA (WHICH IS 0)

please help me to solve this question please​

Answers

Answer:

volume of wooden blocks= 2³=8 cm³

volume of cubic box= 8³=512 cm³

512/8= 64

64 blocks could fit in a cubic box

No: of wooden blocks she wants to fit= 70

she'd not be able to fit all the wooden blocks into the box

Step-by-step explanation:

Answer:

No, cannot

Step-by-step explanation:

Side of the small block is 2 cm

The volume of a small block is:

V = 2³ = 8 cm³

The cubic box with side 8 has volume:

V = 8³ = 512 cm³

The blocks can fit inside:

512/8 = 64

Since 64 < 70, Indra cannot fit all the blocks

How would i show my work on an online exam?

Answers

Answer:

1.47 years

Step-by-step explanation:

Given that,

The height of male elephant is given by the formula,

[tex]h=62.5\sqrt[3]{t} +75.8[/tex]

If h = 275 cm, we need to find the age of the elephant.

Put h = 275 cm in the above formula,

[tex]275=62.5\sqrt[3]{t} +75.8\\\\275-75.8=62.5\sqrt[3]{t}\\\\199.2=62.5\sqrt[3]{t}\\\\t=1.47\ years[/tex]

So, the required time be 1.47 years.

plss help i’ll give brainliest thank you!

Answers

Answer:

D

Step-by-step explanation:

absolute value of -25 is 25

and 25>24

Answer:

D

Step-by-step explanation:

A is wrong because the values are equal.

B is wrong because 5 is greater than 2

C is wrong because 1 is less than 2.

-2(-6x + 3y -1) distributive property

Answers

Answer:

12x+6y+2

Step-by-step explanation:

Multiply -2 by every number

The equation r = 4sin(θ) represents a circle. What is the radius of the circle, and what is the symmetry of the graph? The radius is 2 units, and the graph is symmetric about the line Theta = StartFraction pi Over 2 EndFraction. The radius is 4 units, and the graph is symmetric about the line Theta = StartFraction pi Over 2 EndFraction. The radius is 2 units, and the graph is symmetric about the polar axis. The radius is 4 units, and the graph is symmetric about the polar axis.

Answers

Answer:

1) 270 degrees

2)  pi/4 rad

Step-by-step explanation:

1.) For which value of theta is sine theta = negative 1?

Given

sintheta = -1

theta = arcsin(-1)

theta = -90degrees

Since sin is negative in the third and 4th quadrant

In the third quadrant, theta = 180 + 90 = 270degrees

In the fourth quadrant, theta = 360 - 90 = 270 degrees

Hence the required value of theta is 270degrees

2) Given the radius of the circle to be 1, the y axis value will also be 1 units

Opposite = 1

adjacent = 1

hyp = √1²+1²

hyp = √2

sin theta = opp/hyp

sin theta = 1/√2

theta = arccsin(1/√2)

theta = 45 degrees

Express in radians

45 degrees = pi/4 radians

Hence the required angle in the first quadrant is pi/4 rad

sorry If i answered this wrong or didnt help....HAVE A GOOD DAY/NIGHT!! PLEASE GIVE ME BRAINIEST IF I DID!!

Pretty please HELP MEEEE A circular flower bed is 19 m in diameter and has a circular sidewalk around it that is 3 m wide. Find the area of the sidewalk in square meters. Use 3.14 for pi.

Answers

I think the answer is 9.42m squared.

If I got the right answer, I would appreciate Brainliest. I hope I helped.

SA is the area of flowerbed

radius is 9.5 m (diameter, 19, divided by 2)π(r)²3.14(9.5)²3.14(90.25)SA =  283.385 m²

LA is the large area of both flowerbed and sidewalk together

Adding 9.5 and 3 together, the total radius is 12.5 mπ(r)²3.14(12.5)²3.14(156.25)LA = 490.625 m²

Subtract SA from LA in order to find teh area of sidewalk.

A = 283.385 - 490.625 = 207.24  m²

ANSWER:  207.24 m² is the area of the sidewalk

Why does everyone keep commenting links on my posts? Please stop, if you don’t know the answer then don’t comment :(

Answers

Answer:

Never go to these links! If you see someone answer a link report them!

Answer:

U can just report those comments .

Step-by-step explanation:

& then they will get deleted.

plss help i’ll give brainliest thank you!

Answers

Answer:

its 45 as3*15 is 45 and 45*1 is 45

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If p(t)=5t4+17t3–8t2+13t–12, use synthetic division to find p( – 4).

Answers

Answer:

the value of this function p(t) at t = -4 is also 0

Step-by-step explanation:

Recall that synthetic division in a problem such as this one returns a remainder, which is sometimes zero and is sometimes not.  If not, then the remainder is the value of the given polynomial when evaluated at a given argument.  We are to determine the remainder here when t = -4:

Setting up synthetic division:

-4    /    5    17    -8    13    -12

                 -20   12   -16    12

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

           5      -3     4     -3      0

Since the remainder is 0, the value of this function p(t) at t = -4 is also 0.

Solve each system by substitution. Show work please.
x-2y=9, 3x-4y=27
8x=y+2, 5x=y-1
-4x-y=2, -6x= y -3

Answers

Answer:

see below. i put a square around each x,y solution.

Step-by-step explanation:

Solve each proportion using the Cross Products Property.
Will give brainliest

Answers

Step-by-step explanation:

[tex]1.x = 8 \\ 2.x = 11 \\ 3. x = 2 \\ 4.d = 3 \\ 5.y = 33[/tex]

What is 2/3 of 16 please help

Answers

Answer:

its 10.6 i think

Answer:

10.6666666667

Step-by-step explanation:

Show that a% of b = b% of a

Answers

Answer:

See below

Step-by-step explanation:

a% of b

= b * a/100 = ab/100

b% of a

= a * b/100 = ab/100

So they are the same.

Solve the inequality m + 2 < -4

Answers

Answer:

m < - 6

Step-by-step explanation:

Given

m + 2 < - 4 ( subtract 2 from both sides )

m < - 6

Answer:

m < -6

Step-by-step explanation:

+2 would cross the < sign to make it negative 6

hello please help i’ll give brainliest

Answers

Answer:

The answer is the last two, -1/6 *8 and -8/6

Step-by-step explanation:

The second to last one is just flipping the problem, and the last one is the answer to the expression.

Answer:

C. -1/6*8

D. -8/6

Step-by-step explanation:

11 Resuelve los problemas desarrollados .

- Una persona depositó una cierta cantidad de
dinero en un banco que paga el 6.2% de inte
rés simple anual. Si al cabo de 10 años los
intereses ganados alcanzan los RD$ 19 840,
¿de cuánto fue el depósito realizado?

• ¿A qué porcentaje de interés fueron deposi-
tados RD$ 48 000.00 para que transcurridos
15 meses los intereses devengados sean de
RD$ 3 450.00?

¿En qué tiempo un capital de RD$ 72 475.00
depositado a una tasa de interés simple anual
de un 4% produce intereses de RD$ 36 237.50?

Answers

Step-by-step explanation:

Este ejercicio se puede hacer de dos formas, o bien pasas los días a años o calculas el interés simple diario.

Para pasar 89 días a años simplemente tenemos que dividir 89 entre 365 días, lo que nos da 0,243835616 años. Una vez tengamos todos los datos expresados en el mismo tiempo, podemos calcular el interés.

Interés simple ejercicio resuelto

Para pasar el interés simple de anual a diario hacemos lo mismo dividimos 4% entre 365 días. Dándonos el mismo resultado.

Ejercicio resuelto interés simple interés generado

Plssss help and thank you

Answers

Answer:

1

Step-by-step explanation:

The y-intercept is when x=0, and by looking at this chart, we can see that when x=0, y=1, therefore it will be (0,1) and your y-intercept is 1.

Can anyone solve this question??? plss plsss its my request to all if any one can solve this question I will mark him/ her the brainliest​

Answers

Answer:

a) ∠EAB = 180° - 90° - 30° = 60°

∠EBA = 180° - 90° - 60° = 30°

a) ∠EBA = 30°

b) ∠DCA = 180° - 90° - 30° = 60°

∠EBA ≅ ∠DAC, ∠EAB ≅ ∠DCA, ∠AEB ≅ ∠CDA

ΔEBA ≅ ΔDAC because of the AAA postulate

c) EB ≅ DA, EA ≅ DC, AB ≅ CA

d) AB = CA     given

sin ∠EAB = EB/AB       (sin 60°)   EB = (0.8660)AB

cos ∠EAB = EA/AB      (cos 60°)  EA = (0.5)AB

cos ∠DAC = AD/CA     (cos 30°)  AD = (0.8660)CA

sin ∠DAC = CD/CA      (sin 30°)   CD = (0.5)CA

ED = EA + AD

ED = (0.5)AB + (0.8660)CA

since AB = CA,  ED = 1.366CA

since EB = (0.8660)AB and AB = CA, then EB = 0.866CA

since CD = 0.5CA,

EB  + CD = 0.866CA + 0.5CA = 1.366CA

EB + CD = 1.366CA

1.366CA = 1.366CA

Proof: ED = EB + CD

Ms Matthews has 200 sheets of construction paper she will give each of her 27 students an equal number of whole sheets to use for a project how many sheets will each students an equal number of whole sheets will each students get ? how sheets many will be left over?

Answers

Answer:

Each student will get 7 sheets with 11 sheets left over.

Step-by-step explanation:

divide 200 and 27 to get 7

7 sheets for each student

then multiply 27 and 7 to see how many sheets of paper she gave to her students.

that will give you 189

then 200-189=11 sheets left over

7 sheets left over with 11 remaining

2
Select the correct answer.
What are high-risk loans?
A loans that are invested in high-risk stocks
OB. loans that are given for risky home properties
Ос.
loans that are given to consumers with bad credit
D. Ioans that are provided by commercial banks
Reset
Net

Answers

Answer:

C

Step-by-step explanation:

Perhaps the most common examples of high-risk loans are those issued to individuals without a strong credit rating

hellppppppp i rlly need help i need a b !!

Answers

55%

Step-by-step explanation:

-60% off $60 is 24 and 55% off $50 is $22.5

The second bar graph is correct.

EFGH is translated 6 units to the left and 3 units up

Answers

Answer:

G'(-4,-1)

Step-by-step explanation:

Answer:

The answer is B -4,-1

Step-by-step explanation:

AP EX verified

BRAINLIEST TO CORRECT ANSWER!!!!

Answers

Answer:

$5,720.40

Step-by-step explanation:

Original price was $6,810

0.6x = 4086
x = 6,810

If 40% off the original price is $4,086, then 60%, or 0.6 of the original remains.

6 more than a number

Answers

Answer:

como explica  ebn yte ay uod y

Step-by-step explanation:

Last week, the price of bananas at a grocery store was $0.80 per pound. This week, bananas at the same grocery store are on sale at 25% discount. What is the total price of 5.5 pounds of bananas this week at the grocery store?

Answers

Answer:

3.30

Step-by-step explanation:

You multiply the 5.5 pounds by the 80 cents then multiply the awnser of that by .25 and subtract that from the awnser of 5.5*.80

Find the ratio of Cos (39).

A. 37/7

B.X/7

C.7/X

D.7

Answers

Answer:

x/7

Step-by-step explanation:

cos 39= adjacent/hypotenuse

=x/7

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