En una progresion geometrica el primer termino es 4 ¿ cual debe de ser la razon para que la suma de sus infinitos sea 5?

Answers

Answer 1

Respuesta:

La proporción común del término puede ser 1/5

Explicación paso a paso:

La fórmula para calcular la suma al infinito de una secuencia geométrica se expresa como:

Sinfty = a / 1-r

Dado

Sinfty = 5

Primer término a = 4

Requerido

Razón común r

Sustituir

5 = 4/1-r

5 (1-r) = 4

5-5r = 4

-5r = 4-5

-5r = -1

r = 1/5

Esto significa que la razón común debe ser 1/5 para que la suma hasta el infinito sea 5


Related Questions

PLEASE HELP
WILL GIVE BRAINLIEST!!!

Answers

Answer:

12/25

Step-by-step explanation:

The problem tells us that we need to use 25 equally sized stones to make a 12 feet long path. As the stones must be equally sized, you have to divide 12 by 25 to distribute the feet length equally. Therefore, 12 divided by 25 is just rewritten as 12/25 feet long.


Simplify:

- 5 1/4 -( -7 1/2)

Answers

Answer:

-5 1/4-(-7 1/2 is simplified to 9/4

Step-by-step explanation:

-5 1/4 is simplified to -21/4  -(-7 1/2

-7 1/2 is simplified to -15/2 and two negatives make a positive.

so the equation now becomes

-21/4+15/2

15/2 times 2 is 30/4

-21/4+30/4 is 9/4

The answer is 9/4

what is the percent of increase from 600,000 to 900,000?

Answers

Answer: 50%

Step-by-step explanation:

Biologists studying wildlife in the state parks want to estimate the average weight of chipmunks. They measured the weights of 5 chipmunks from each of 10 parks. The mean of the data was 91 grams, and the median was 87 grams

Answers

Answer:

The average weight of the chipmunks is 91 grams

Step-by-step explanation:

The mean of a dataset gives the average which is obtained by taking the sun of each data value and dividing by the number of samples. The median however requires the arrangement of data in terms of size ze (ascending) and taking the mid value (value which falls in the 50% mark). For the data above, the most appropriate measure of the average is the mean. Hence, the prediction which matches the data is ; The average weight of the chipmunks is 91 grams.

Based on the data that the Biologists found out, the prediction that best matches the data is The average weight of the chipmunks is 91 grams.

What does the data say?

The data shows the weights of the five chipmunks that were recorded and the mean of these weights was 91 grams.

The mean of a dataset is the same as its average which means that the average weight found from the chipmunks was 91 grams.

In conclusion, option D is correct.

Options for this question are:

About one-half of the chipmunks weigh more than 91 grams

The average weight of the chipmunks is 87 grams.

About one-half of the chipmunks weigh more than 87 grams

The average weight of the chipmunks is 91 grams

Find out more on averages at https://brainly.com/question/14532771.

All three please 10 points

Answers

Answer:

A) x = 3 or -1

B) x = -7

C)x = -7

Step-by-step explanation:

A) x² + 2x + 1 = 2x² - 2

Rearranging, we have;

2x² - x² - 2x - 2 - 1 = 0

x² - 2x - 3 = 0

Using quadratic formula, we have;

x = [-(-2) ± √((-2)² - 4(1 × -3))]/(2 × 1)

x = (2 ± √16)/2

x = (2 + 4)/2 or (2 - 4)/2

x = 6/2 or -2/2

x = 3 or -1

B) ((x + 2)/3) - 2/15 = (x - 2)/5

Multiply through by 15 to get;

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

5x + 10 - 2 = 3x - 6

5x - 3x = -6 - 10 + 2

2x = -14

x = -14/2

x = -7

C) log(2x + 3) = 2log x

From log derivations, 2 log x is same as log x²

Thus;

log(2x + 3) = logx²

Log will cancel out to give;

2x + 3 = x²

x² - 2x - 3 = 0

Using quadratic formula, we have;

x = [-(-2) ± √((-2)² - 4(1 × -3))]/(2 × 1)

x = (2 ± √16)/2

x = (2 + 4)/2 or (2 - 4)/2

x = 6/2 or -2/2

x = 3 or -1

In a quiz, you receive 7 points for a correct answer and –4 points for an incorrect answer.You receive 0 points if you do not answer the question.There are 20 questions in total.Is it possible to get a score of –11 in this quiz?

Answers

Answer:

Yes it is possible

Step-by-step explanation:

Given

[tex]n = 20[/tex]

[tex]x= 7[/tex] --- correct

[tex]y = -4[/tex] --- wrong

[tex]z = 0[/tex] --- empty answer

Required

Is a total of -11 possible?

To do this, we apply trial by error method.

After so many approaches, I found the following solution

[tex]x \to 3[/tex] -- Got 3 correctly

[tex]y \to 8[/tex] --- Failed 8

[tex]z \to 9[/tex] ---- Didn't answer 9

The above will give a score of -11.

We have:

[tex]3x+8y+9z[/tex]

[tex]3x+8y+9z = 3 * 7 + 8 * -4 + 9 * 0[/tex]

[tex]3x+8y+9z = 21-32 + 0[/tex]

[tex]3x+8y+9z = -11[/tex]

Hence, a score of -11 is possible

Pleaseeeee helppppppppppppppp

Answers

Answer:

B

Step-by-step explanation:

a biconditional is if and only if

Geoff paddles his canoe at an average speed of 3.5 miles per hour. After 5 hours of canoeing, Geoff has traveled 18 miles. Write an equation in slope-intercept form to find the total distance y Geoff travels after x hours.

Answers

Answer:

d(x) = 3.5x + 0.5

Step-by-step explanation:

3.5 x 5 = 17.5 which means the canoe began from a starting point of 0.5

Answer:

y−18=3.5(x−5)

Step-by-step explanation:

from mcgraw hill


HELP !!!!!!!!!!!!!! PLS

Answers

Answer:

I think it will be (x+7)^2 =16

I'm not for sure but I think this is it.

Step-by-step explanation:

Simplify: xy(x+5y)(x+2y)

Answers

Answer:

x3y+7x2y2+10xy3

Step-by-step explanation:

PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

[tex]1) B[/tex]

[tex]2)\ B[/tex]

[tex]3)\ B[/tex]

[tex]4)\ C[/tex]

Step-by-step explanation:

1)

Let's use the Pythagorean Theorem:

[tex]X^2 + 13^2 = 21^2[/tex]

[tex]X^2 + 169 = 441[/tex]

[tex]X^2 = 272[/tex]

[tex]X= \sqrt{272} = 4\sqrt{17} = 16.5[/tex]

2)

Let's use the Pythagorean Theorem:

[tex]16^2 + 28^2 = x^2[/tex]

[tex]x^2 = 1040[/tex]

[tex]x = \sqrt{1040} = 4\sqrt{65} = 32.2[/tex]

3)

Let's use the Pythagorean Theorem:

[tex]7^2 + 24^2 = 25^2[/tex]

As this equation is correct, these three lengths could be used in a right triangle.

4)

Let's use the Pythagorean Theorem:

[tex]7^2 + 24^2 = 25^2[/tex]

As this equation is correct, these three lengths could be used in a right triangle.

due soon!!!
find the value of x

Answers

Answer:

30 degrees

Step-by-step explanation:

see the opposite side. it is the same thing but upside-down.

(remember straight line is 180 degrees)

Simplifique a expressão: 5 √2^3

Answers

Answer:

10√2

Step-by-step explanation:

5√2³ = 5√8 = 5√(2 x 4) = (2 x 5)√2 = 10√2

Find the area of this circle. Use 3 for .
A = tar2
4 cm
[?] cm2

Answers

Answer:

48 is the area

Step-by-step explanation:

A=4squared=16x3=48

Pi is 3.14 but in the question it states just a 3.

omg bet you don't know this pt2

Answers

Answer:

look at what the angle represent in the arrows

Step-by-step explanation:

Answers are 3/4 and 4/6

What is the domain of the square root function graphed below?

Answers

Answer:

x ≥ 3

Step-by-step explanation:

The domain is the set of x values in a function

The ordered pair ( 3 , 1 ) represents the point where the function starts

( note that the point is "closed" which means that ( 3 , 1 )  represents a solution to the function ) ( which also means that we will be using ≤ or ≥ )

The x value of that ordered pair is 3 which means that the domain must include 3.

The line then goes to the right of the x value 3, infinitely which means that the domain is anything greater than or equal to 3

or x ≥ 3

PLEASE HELP! In a film study, a sample of 300 movies was found to have an average runtime of 116 minutes with a standard deviation of 15 minutes. What is the margin of error for any sample of movie runtimes with 90% confidence (z=1.64)?

Answers

Answer:

The answer is 1.42!!!!!!

Step-by-step explanation:

Write the equation for the line through the following cities. 16.Ankara and Tbilisi ______________________________________ 17.London and Warsaw ______________________________________ 18.Amsterdam and Minsk ______________________________________ 19.Oslo and Rome ______________________________________ 20.Bern and Riga ______________________________________ 21.Tallinn and Vilnius ______________________________________ 22.Madrid and Sofia __________

Answers

Answer:

See explanation

Step-by-step explanation:

The question is incomplete, as the graph or points of each city are not given.

So, I will provide a general explanation.

To calculate the equation of line through two points;

Start by writing out the coordinates of the two points.

For instance:

[tex]London = (4,6)[/tex]

[tex]Warsaw = (20,10)[/tex]

This points will be represented as:

[tex](x_1,y_1) = (4,6)[/tex]

[tex](x_2,y_2) = (20,10)[/tex]

Calculate the slope (m)

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

[tex]m = \frac{10 - 6}{20 - 4}[/tex]

[tex]m = \frac{4}{16}[/tex]

Simplify

[tex]m = \frac{1}{4}[/tex]

The equation is then calculated as:

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

This gives:

[tex]y = \frac{1}{4}(x - 4) + 6[/tex]

Open bracket

[tex]y = \frac{1}{4}x - 1 + 6[/tex]

[tex]y = \frac{1}{4}x +5[/tex]

Apply the above steps in the original question

Two different banks, Bank A and Bank B, offer accounts with exactly the same annual interest rate of 6.85%. However, the account from Bank A has interest compounded monthly, whereas the account from Bank B compounds interest continuously. To decide which bank to open an account with, you calculate the amount of interest you would earn after three years from an initial deposit of $5000 in each bank’s account. How much interest would you earn from each account? Which bank’s account earns more – and how much more?

Answers

Answer:

Solution given:

For bank A.

rate[R]=6.85%

principal [P]=$5000

time [T]=3years

now since simple interest is given by this bank

we have

Simple interest=PTR/100

=5000×6.85×3/100=$1027.5

For bank B

rate[R]=6.85%

principal [P]=$5000

time [T]=3years

now since compound interest is given by this bank

we have

compound interest=P((1+R/100)^T-1)

=$5000((1+6.85/100)³-1)=$1099.49

since

Bank B gives more interest .more amount is

1099.49-1027.5=$71.99 or $72

What's the slope of this line? Someone plz answer plz.

Answers

Answer:

0.5

Step-by-step explanation:

Answer:

[tex] \frac{1}{2}x + 5[/tex]

please help me


i’m stuck

Answers

Answer:

14 mins

Safest answer and may be correct

move numbers to the table to show the value of x that satisfies each question
equation 2^x = 16
4^x = 1/16

Answers

The first empty box the answer is 3
The second empty box the answer is -3

i rlly need help on this question and you won’t help

Answers

Answer:

lol wheres the question

Step-by-step explanation:

Where is the question at?

Question 3
A bucket contains 4 red marbles, 10 blue marbles, 7 yellow marbles, and 5 green marbles.
What is the probability that you will get a blue, then a yellow with replacement?
a: 17/52
b: 10.796
c: 35/388
d: 10/26

Answers

It looks like it could be c but I’m not sure

simplify.
PLEASE HELP ITS DUE IN 5 MINUTES
(top number is a 6)

Answers

Answer:

[tex]\frac{24}{11}+\frac{6\sqrt{5} }{11}[/tex]

Step-by-step explanation:

Multiply the fraction by the conjugate and solve (would explain more but you're on a time crunch)

hey what's the answer !!

[tex] \sqrt{98 - ( 17)} [/tex]

(ノ≧∇≦)ノ ​

Answers

Answer:

√98-17

=√ 81

=√ (9)^2

=9 is ans

Answer:

[tex] \sqrt{98 - ( 17)} [/tex]

[tex] {\sqrt{81}} [/tex]

[tex] {\sqrt{9²}} [/tex]=±9

is your answer

please help me ill give you the crown thing if its right no joke

Answers

Answer: Third option

Step-by-step explanation:

The amount in each of the 3 busses (g) is fixed and equal, so 200+3g represents that

Solve for x.
[tex]25x = 100[/tex]

Answers

Answer:

Solution given:

[tex]25x = 100[/tex]

[tex]x = \frac{100}{25}[/tex]

[tex]x = 4[/tex]

x=4 is a required answer.

Let's check

25x=100x=100/25x=4/1x=4

x is 4

Help me please!!!!!!!!!!!!!!


Can someone talk to me please?

Answers

Answer:

hi

Step-by-step explanation:

Answer:

sure why not .

Hi!:D

Step-by-step explanation:

can I have brainiest

9. Joanna is considering two job offers. Phoenix Fashions offers

$1500/month plus 2.5% commission. Styles by Rebecca offers

$1250/month plus 5.5% commission.

a) Create a linear system by writing an equation for each salary.

b) What value of sales would result in the same total salary

for both jobs?

c) Which job should Joanna take? Explain your answer.

Answers

Answer:

A] 1500 + 0.025x , 1250 + 0.055x ; B] Sales value = 8333

C] Offer 1, if prefers more fix salary over additional incentive. And, offer 2 if  prefers additional incentive over fix salary.

Step-by-step explanation:

Let the sales be = x

A] Offer 1 = 1500 + 2.5% comm on sales = 1500 + 2.5%x = 1500 + 0.025x

Offer 2 = 1250 + 5.5% comm on sales = 1250 + 5.5%x = 1250 + 0.055x

B] Value of sales, resulting in total salary : at equation 1 = equation 2

1500 + 0.025x = 1250 + 0.055x

1500 - 1250 = 0.055x - 0.025x → 250 = 0.03x

x = 250 / 0.03 →  x (Sales value) = 8333

C] Which job she should take, would depend on her preferences.

If she wants more fixed salary, & less above per unit achievement, she should take offer 1 as fixed salary 1500 > 1250. If she wants less fixed salary & more additional incentives, she should take offer 2, as commission 5.5% > 2.5%

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