Find the sum of the geometric series 1 - 4/5 + (4/5)² - (4/5)³ + ... - (4/5)²⁹

Answers

Answer 1

Answer:

Step-by-step explanation:

Given,

1st term (a) = 1

Common ratio (r) = -4/5

last term (l) = - [tex](4/5)^{29}[/tex]

Now,

Sum (S) = (lr- a)/(r - 1) =[(4/5)³° - 1]/(-9/5)

             = -0.99876206/-1.8

             = 0.5548678111

Sorry bro couldn't get answer in fraction.


Related Questions

HELP ASAP MY TEST IS 45 MINUTES HELP
Solve the proportion.
a) x = 8
b) x = 7
c) x = 6
d) x = 5

Answers

Answer:

C is the answer

Step-by-step explanation:

1.

x/9=8/12

2. First simplify the equation

8/12=4/6=2/3

3. Find the factor

9

3*3

9*1

4. Multiply by 3/3

2/3*3/3=6/9

So, 6 is the answer

Hope this helped,

Kavitha

Answer: C. x=6

Step-by-step explanation: x/9=8/12

8/12/2/2=4/6/2/2=2/3

2×9/3

18/3

x=6

​  

 

HELP 5TH GRADE MATH B ,N ,N

Answers

Because 5 is 1/2 of 10, & you are cutting the ingredients by 1/2 of the original recipe.

Estimate 14.429 - 5.16 by first rounding each number to the nearest tenth.

Help pls

Answers

Answer:

9.23

14.43-5.2=9.23

Step-by-step explanation:

Mark me brainliest plZZZZZZZZZZZZZZZZZZZZZZZZZ

PLEASE ANSWER QUICKLY

Answers

The answer is B! Your welcome

Pick all the names for this shape. Sides that appear to be parallel are parallel

A. Parallelogram
B. Rectangle
C. Trapezoid
D. Quadrilateral

Answers

Answer:

I would say a parrallelogram

Step-by-step explanation:

PLZ HELP I BEGG!! 100 POINTS AND BRANLIEST

Answers

Answer:

Vertical angles are opposite angles that are formed from two intersecting lines. From this, the vertical angle to 3 is 5

Answer:

Step-by-step explanation:

<3 is a right angle so its opposite angle is vertical to it. The answer is <5.

equivalent fractions,please help me!!

Answers

Answer:

54/81 is the answer

Step-by-step explanation:

A spinner has two colored regions — purple and orange — and is divided in such a way so that the probability that the spinner lands on purple is 0.9. Suppose we spin the spinner 12 times and let X = the number of times it lands in the purple region.

Calculate the mean and standard deviation of X. Round to 4 decimal places, when necessary.

μx =

σx =

Answers

Answer:

The answer is "32 and 4.6648".

Step-by-step explanation:

binomial distribution of x

probability of sucess[tex](P)=32\%=0.32[/tex]

randomly selected number by giraffes [tex]n=100[/tex]

now

[tex]\mu_x=np\\\\[/tex]

    [tex]=(100)(0.32)\\\\=32\\\\[/tex]

[tex]\Sigma_x=\sqrt{np(1-p)}[/tex]

     [tex]=\sqrt{100(0.32)(1-0.32)}\\\\=\sqrt{21.76}\\\\= 4.664761\\\\=4.6648[/tex]

Answer:

10.8

1.0392

Step-by-step explanation:

for the shape of the probability histogran it is D) Skewed left

How can the logarithmic expression be rewritten? Select True or False for each statement. Statement True False 4 log3 c + 4 log; d = log2 (cd)* å (In a + In b) = ln Va464 3 Ine + 2 ln $ = In ( ) 0​

Answers

Answer:

TrueFalse False

Hope it helps :)

The first two logarithmic expressions are true and the third one is false.

What is a logarithm?

The logarithm is exponentiation's opposite function in mathematics.

This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b. For instance, because 100 = 10², the logarithm of 100 in base 10 is 2, or log10 = 2.

Given, [tex]4log_3c + 4log_3d = 4log_3cd[/tex].

= [tex]log_3(cd)^4[/tex] it is true.

[tex]\frac{3}{4}(lna + lnb) = \frac{3}{4}ln(ab)[/tex].

= [tex]ln(ab)^{\frac{4}{3}}[/tex] it is true.

[tex]3lne + 2lnf = lne^3 + lnf^2[/tex].

= [tex]ln(e^3f^2)[/tex] it is false.

learn more about logarithms here :

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I need the answer fast

Answers

Answer:

7,500,000

Step-by-step explanation:

(4.8 x 10^2) is 480 now divide by 0.000064 since (6.4 x 10^-5)  is 0.000064 and you get 7,500,000.

Hope this help's !

Answer:

7,500,000

Step-by-step explanation:

^^^^^^^^^^^^

A tutor charges $5 for each class he takes per day that lasts for an hour. For each additional hour he tutors he charges $3.
Match the number of hours he tutors for in the first column with the money he makes from it.
4
2
DRAG & DROP THE ANSWER
܃ ܃ ܃ ܃
$14
5
$17
3
$11
$20

Answers

Answer:

4, $17

2, $11

Step-by-step explanation:

Given data

Charge= $5

Additional Charge= $3 per hour

The total charge will be

y= 5+3x

Number of hours

1. for  4 hours

The total will be

y= 5+3(4)

y= 5+12

y= $17

2. for  2 hours

The total will be

y= 5+3(2)

y= 5+6

y= $11

Solve for x.
Need help, Thank you!!
Also, i need explanation.

Answers

Answer:

7.) x = 12

9.) x = 4

Step-by-step explanation:

7.) Angle Y and Angle X both add up to 180

=> 40 + 12x - 4 = 180

=> 36 + 12x = 180

=> 12x = 180 - 36

=> 12x = 144

=> x = 12

9.) Angle W and Angle X add up to 180

=> 145 + (-1) + 9x = 180

=> 144 + 9x = 180

=> 9x = 180 - 144

=> 9x = 36

=> x = 36 / 9

=> x = 4

Hope this helps!

What is the intermediate step in the form (x + a)2 = b as a result of completing the
square for the following equation?
x2 – 14 = 2x – 14

Answers

Answer:

y=(x-1)^2 -1

Step-by-step explanation:

If you put it in the form (x-a)^2=b

The answer will be (x-1)^2=1

Select the correct answer.
Which equation represents a function?

Answers

Answer:

D

Step-by-step explanation:


4.Maria tossed a coin three times. She wrote
a list of her possible outcomes. How many
outcomes on her list had at least one Tail?


A. 1
B. 3
C. 7
D. 8

Answers

Answer:

(a) 1

Step-by-step explanation:

In each outcome triplet, each flip has a chance to be H or T. Thus, the following describes all the possible outcomes:

HHHHHTHTHHTTTHHTHTTTHTTT

We see that the only option without one tail is the first one, HHH, so the answer is (a) 1.

Re-write the quadratic function below in Standard Form
y = -4(x – 7)(x - 1)

Answers

Step-by-step explanation:

y = -4(x – 7)(x - 1)

= -4(x²-8x+7)

= -4x²+32x-28

3x+3(x+y)3, x, plus, 3, left parenthesis, x, plus, y, right parenthesis

Answers

Answer: =12x+9y

Step-by-step explanation: Hope this help :D

Overnight, a pipe cracked and started to leak into a basementThe graph shows the depth of the water in relation to time
A.) How many inches does the water rise each hour?
B.) How deep is the water after four hours?
C.) How long will take for the water to reach a depth of 80 inches?

Answers

Answer:

Each hour the water will rise 10 in. After 4 hours the water will be 40 in deep. It will take 8 hours for the water to reach a depth of 80 in.

Find the vertices of the hyperbola. Enter the smallest coordinate first.

Answers

Answer:

([-3], [0]), ([3], [0])

Step-by-step explanation:

The given equation of the hyperbola is presented as follows;

[tex]\dfrac{x^2}{9} - \dfrac{y^2}{49} = 1[/tex]

The vertices of an hyperbola (of the form)  [tex]\dfrac{x^2}{a^2} - \dfrac{y^2}{b^2} = 1[/tex] are (± a, 0)

The given hyperbola can we presented in a similar form as follows;

[tex]\dfrac{x^2}{9} - \dfrac{y^2}{49} = \dfrac{x^2}{3^2} - \dfrac{y^2}{7^2} = 1[/tex]

Therefore, by comparison, the vertices of the parabola are (± 3, 0), which gives;

The vertices of the parabola are ([-3], [0]), ([3], [0]).

The volume of a rectangular prism is 165 cubic inches. The base of the prism has an area of 15 square inches.
What is the height of the prism?
Enter your answer in the box

Answers

Answer:

H = 11

Step-by-step explanation:

volume is 165

base is 15.

V = Bh

165 = 15 x ?

? = 11

check answer

15 x 11 = 165

consider the first six terms
in the sequence -11,-4, 3, 10, 17,24

Answers

Answer:

Next term is 31

Step-by-step explanation:

The numbers keep going up by 7.

If this has helped you please mark as brainliest

Can i get a hooiiiiyaaaaaa

Answers

Answer:

Nooooooooooooooooooooo

Answer:

hooiiiiyaaaaa

Tara picks out 4 paint colors (beige, blue, green, and gray) to paint 4 rooms in her house (living room, dining room, main bedroom, and kitchen).

What is the probability that tara first paints her bedroom green?



ASAP!!!!!

Answers

im going to guess it's [tex]\frac{1}{4}[/tex]

Why is 6/5 not equivalent to 3/2

Answers

Answer:

It is the first choice

Step-by-step explanation:

[tex] \frac{3 \times 2}{2 \times 2} = \frac{6}{4} \\ \\ \frac{6}{4} \: \: is \: not \: equal \: to \: \: \: \: \frac{6}{5} [/tex]

The ratio 3 / 2 is multiplied by 2 on both the denominator and numerator to get the value 6 / 4, but the denominator part is not equal to 5, hence  6/5 is not equivalent to 3/2, so option A is correct.

What is the ratio?

It is the comparison of one quantity with another. For example, if your weight is 30 kg and your father's weight is 90 kg, then the ratio of weight is 1:3.

Given:

6 / 5 and 3 / 2

As you can see the numerator of 3 / 2 is multiplied by 2 to get the value 6, so the denomination should also be multiplied by the number 2,

(3 × 2 ) / (2 × 2)

6 / 4

But the result came as 4 on the numerator,

Thus, 6 / 5 and 3 / 2 are not equivalent.

To know more about Ratios:

https://brainly.com/question/13419413

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G(x)=3/x find g'(x) a) by using the quotient rule: b) by first rewriting the expression using exponents and then differentiating.

Answers

Answer:

a) The quotient rule is:

if: f(x) = 1/g(x)

Then:

[tex]f'(x) = -\frac{1}{(g(x))^2}*g'(x)[/tex]

In this case, we have:

G(x) = 1/x

Then we can write this as:

G(x) = 1/h(x) with h(x) = x, and h'(x) = 1

Using the above rule we get:

G'(x) = -(1/h(x)^2)*h'(x) = -1/x^2

b) For a function like:

f(x) = x^n

we have that:

[tex]f'(x) = n*x^{n - 1}[/tex]

Here we can write G(x) = x^-1

Then we have n = -1

If we use the above rule, we get:

[tex]G'(x) = (-1)*x^{-1-1} = -1*x^{-2} = \frac{-1}{x^2}[/tex]

So we got the same result using both methods.

A shelf is built on a wall, as shown below. What is the value of x?

Answers

Answer:

X=25

Step-by-step explanation:

All angles of a triangle add up for 180

We know that there is a 90 degree right angle.

So (x+25)+(2x-10)=180-90

Remove parenthesis since they don't matter in this problem.

x+25+2x-10=90

Combine similar terms

3x+15=90

Subtract 15 from both sides

3x=75

Divide both sides by 3

x=25

Find the volume of the cone. Round your answer to the nearest tenth if necessary. Use 3.14 for n.
12 cm
6 cm
The volume of the cone is about
cm?

Answers

Answer:

113.112cm^3

Step-by-step explanation:

Given data

Height= 12cm

Diamter= 6cm

Radius= 3cm

The expression for the volume of a cone is given as

V= 1/3*πr^2h

Substitute

V= 1/3*3.142*3^2*12

V=  1/3*3.142*9*12

V=  1/3*339.336

V=113.112cm^3

Hence the volume is 113.112cm^3

Tristan has 3 bottles of water and 4 bottles of juice in his ice chest. What is the probability that he will reach into the chest and pull out two bottles of juice in a row if he does not replace the first one?All answers should be given as a fraction in simplest form!
Any help would be appreciated, Thanks!!!

Answers

Answer:

Step-by-step explanation:

P(j=1st) =4/7

P(j=2nd) =3/6

P(j two in a row) = (4/7)*(3/6)= 12/42 = 6/21 = 2/7

P(j two in a row) = 2/7

A tailor needs to make uniforms for 32 students from a piece of cloth. If the length of that piece 45 3/4m and each student requires 1 1/8m, calculate the length of cloth that would be left

Answers

Answer:

uniform for 1 student = 1 1/8 = 9/8

uniform 32 students = 32 x 9/8 = 36m

Total cloth = 45 3/4 = 183/4 = 45.75m

Cloth left = 45.75 - 36 = 9.75m i hope that helps

help me plz help me I need help

Answers

I don’t know either, I missed the same question

Step-by-step explanation:

-30/100 * 140 = 420/10, 0 gets canceled, so x= 42

-64/100 * 40/1 = 64 *4/10 = 256/10 (simplify by 2) = 128/5 (I'm not sure on this one)

-z = 10

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