Compute the following sum of a geometric sequence: S = 0.936 + 0.935 + ... + 0.92 + 0.9 + 1 (Round your answer to two decimal places.)

Answers

Answer 1

The sum of the given geometric sequence to 2 dp is 936.00

To get the sum of a geometric sequence, we will use the formula for calculating the sum to infinity of the sequence as shown:

[tex]S_\infty=\frac{1}{1-r}[/tex]

a is the first term

r is the common ratio

Given the sequence  S = 0.936 + 0.935 + ... + 0.92 + 0.9 + 1

a = 0.936

r = 0.935/0.936 = 0.998

Substitute into the formula

[tex]S_\infty=\frac{0.936}{1-0.999}\\S_\infty=\frac{0.936}{0.001}\\S_\infty=936[/tex]

Hence the sum of the given geometric sequence to 2 dp is 936.00

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Related Questions

9÷108 please tell me

Answers

Answer:

108 ÷ 9 = 12

Step-by-step explanation:

Answer:

0.083333333333333

Step-by-step explanation:

The mean monthly rent of students at Oxnard University is $770 with a standard deviation of $239. John's rent is $1275. What is his standardized z-score?

Answers

(1275-770)/239 = 505/239

One of the legs of the obtuse isosceles △ABC and △DBE lie on the same line sharing vertex B without overlapping. The sides DE and AC intersect at point F, DC = 12 in, m∠BDF=m∠BCF=30°. Find AE and CE.
GIVE FULL EXPLANATION

PLZ HELP ILL GIVE 100 POINTS

Answers

9514 1404 393

Answer:

  AE = CE = 12 in

Step-by-step explanation:

Angles BDF and BCF are base angles of their respective isosceles triangles. That means the a.pex angle of each, DBF and ABC respectively is ...

  180° -2×30° = 120°

In your diagram, BC is 120° from the -x axis, so is 60° from the +x axis. It bisects the angle DBE. Similarly, BE is 120° from the +x axis, so is 60° from the -x axis. It bisects angle ABC. In an isosceles triangle, the a.pex angle bisector is an altitude and is the perpendicular bisector of the base segment. Any point on that line is equidistant from the base vertices.

Point C lies on the perpendicular bisector of DE, so CD ≅ CE = 12 in.

Point E lies on the perpendicular bisector of AC, so EC ≅ EA = 12 in.

The measurements of interest are ...

  AE = CE = 12 in.

_____

Additional comment

Point F serves no purpose except to confuse the issue. Each of the angles that reference point F could be described equally well using a different point:

  ∠BDF = ∠BDE

  ∠BCF = ∠BCA

This makes it more obvious that the triangles of interest are similar.

Answer:

12

12

Step-by-step explanation:

see the below figure

i got that both triangles are similar

we get that in triangle ABC angle BCF is 30

so angle A is also 30 (isosceles)

so the remaining angle ABC is 120

and angle CBD becomes 180 - 120 = 60

now in triangle BDE angle BDF is 30

so angle BED is also 30

now angle EBC becomes 120 - angle CBD = 120 - 60

and got angles ABE EBC CBD as 60 each

so three 60 degree angles are formed at vertex B as shown in the figure

 tw0 30 30 120 degree triangles are similar

BC becomes perpendicular angular bisector of ED

C is a point on that line which is at equal distance from the base vertices

so CD = CE = 12

here BE is perpendicular bisector of AC

so AE = EC = 12    

pocket folders are $0.39 each at the store. If Carolyn paid $7.02, how many did she buy?

Answers

Answer:

18 pocket folders

Step-by-step explanation:

divide 7.02 by .39

if tan2
x = 3 then value of
x is

Answers

Answer:

If tan2 x = 3 then the value of x is 3. So three is your answer!

Step-by-step explanation:

-7+0.3(-4x+20)+8.8x
Help me plz
This is 8th grade math btw

Answers

Answer:

7.6x−1

Step-by-step explanation:

Expand by distributing terms

−7−1.2x+6+8.8x

Collect like terms.

(−7+6)+(−1.2x+8.8x)

Simplify

−1+7.6x

Regroup terms.

7.6x−1

the quotient of 28
divided by four
increased by 3


Answers

Step-by-step explanation:

28 / 4 = 7

7 + 3 = 10

so, 10 is your answer

Answer:

Step-by-step explanation:

28 ÷ 4 = 7

7 + 3= 10

Select the correct answer. Given the domain {-4,0,5), what is the range for the relation 12x + 6y= 247 OA (-12, 4, 6) ОВ. 12,4,9) Oc. 12, 4, 6) OD. 44, 4, 14) I'll give brainliest!​

Answers

The range for the relation 12x + 6y= 247 is,

Range = {49.17, 41.17, 31.17}

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The function is,

⇒ 12x + 6y = 247

Now,

We have;

The domain is, {-4,0,5)

Hence, The range of the function is find as;

Put x = - 4;

⇒ 12x + 6y = 247

⇒ 12 × - 4 + 6y = 247

⇒ - 48 + 6y = 247

⇒ 6y = 247 + 48

⇒ 6y = 295

⇒ y = 49.17

Put x = 0;

⇒ 12x + 6y = 247

⇒ 0 + 6y = 247

⇒ 6y = 247

⇒ y = 41.17

Put x = 5;

⇒ 12x + 6y = 247

⇒ 60 + 6y = 247

⇒ 6y = 247 - 60

⇒ 6y = 187

⇒ y = 31.17

Thus, The range for the relation 12x + 6y= 247 is,

Range = {49.17, 41.17, 31.17}

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Can some one double check this for me?

Answers

Answer:

Yep everything is correct!

You jsut multiply the beginning value with out the “0”

And then after that for every zero you see from 10-10000 just add the amount of “0”s.

Answer:

its all correct !!

Step-by-step explanation:

good job!

mark me brainliest :D

Write the equation of the line that passes through the point (-3, 1) and is perpendicular
3
to a line whose slope is 2

Answers

y = -2x - 5 is the answer; hope this helps

explain how the model represents 5/ 1third

Answers

Here is ur perfect answer

HELP PLEASE NO LINKS!!!

Answers

Answer:

D. 1/(3^8)

Step-by-step explanation:

^^^This is the answer

PLEASE HELP!!!!!!!!!!!!!!!!!

Answers

Answer:

7.11[tex]\leq[/tex]-7.1

Step-by-step explanation:

Answer:

Question 1- C. 7.11 > -7.1

Question 2- True

Question 3- -3 < -1 and -3 ≤ -1

Question 4- I don't know

Question 5- {3,4}

Step-by-step explanation:

I ran it through the calculator only on question 4 I didn't know the answer

-Rocketgamer360

Work out the circumference and area of glass needed for the top of a display cabinet which has a diameter of 1.8m

Answers

Answer:The area of a circle with radius 0.2865 is 0.2579

Step-by-step explanation: Area of a circle in terms of radius:

Area = π·r2 = 3.14·0.292 = 0.26 square meters(*)

Area of a circle in terms of diameter:

Area = π·(d

2

)2 = 3.14·(0.57

2

)2 = 3.14·(0.29)2 = 0.26 square meters(*)

Area of a circle in terms of circumference:

Area = C2

= 1.82

= 3.24

(4·3.14)

= 3.24

12.56

= 0.26 square meters(*)

The circumference of circle is 5.652m.

What is Circumference of circle?

The circumference of a circle is its boundary or the length of the complete arc of a circle.

The formula for the circumference of a circle is expressed using the radius 'r' of the circle and the value of 'pi'. It is expressed as, Circumference of a circle formula = 2πr. While using this circumference formula, if we do not have the value of the radius, we can find it using the diameter.

For example:

If the radius of the circle is 25 units, find the circumference of the circle. (Take π = 3.14)

Solution: Given, radius = 25 units

Let us write the circumference formula and then we will substitute the value of r (radius) in it.

Circumference of circle formula = 2πr

C = 2 × π × 25

C = 2 × 3.14 × 25 = 157 units

Therefore, the circumference of a circle is 157 units.

Given:

diameter= 1.8 m

radius= 0.9m

Now, Circumference of circle

=2πr

= 2* 3.14 * 0.9

= 5.652 m

Hence, the circumference of circle is 5.652m.

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Please help asap thank you!!

Answers

Answer:

No

yes

No

Step-by-step explanation:

yes it is a scalene triangle

the area of the triangle is 28.5

Pls Help I Need This Answer ASAP ​

Answers

Answer:

h = -2

Step-by-step explanation:

1. Simplify the left hand side: 8h = -16

2. DIvide both sides by 8: h = -16 ÷ 8 = -2

Hope this helps!

Answer:

ℎ = − 1 6 /7

Step-by-step explanation:

Step 1: Combine like terms.

ℎ − 8 ℎ + 1 9 ℎ − 5 ℎ = − 1 6

7 ℎ = − 1 6

Step 2: Divide both sides of the equation by the same term.

7 ℎ = − 1 6

7ℎ/7=−16/7

Step 3: Simplify

ℎ=−16/ 7 = Answer

HELP!! YOU'LL GET BRAINLIEST​

Answers

Answer:

b = 1

Step-by-step explanation:

B because math it’s b

please assist me

NO LINKS!!

Answers

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today, I hope you are having a nice day!

We can solve this in two steps, Comprehension and Solving. I'll go ahead and start with Comprehension.

If you have any questions feel free to ask away!!

Comprehension

We know according to the laws of geometry that all angles in a triangle add up to 180 degrees.

We also know that in an isosceles angle, the base angles are equation to each other.

Now that we know what we need to know, we can setup an equation.

[tex]2x-6+(2x)=180[/tex]

We can do this because first of all, we know that 2x-6 is one of the angles and as per the base angles of an isosceles triangle we know that both base angles are x, therefore we can add 2x to get 180 degrees.

I'll start solving now.

Solving

We can solve this by using the equation we made above and solving it with algebra.

[tex]2x-6+2x=180\\4x-6=180\\4x=186\\x=46.5[/tex]

We know that x is equal to 46.5 degrees. We can check that by inputting it into the equation.

[tex]2(46.5)-6+2(46.5)=180?\\4(46.5)=186?\\46.5=46.5[/tex]

We've proven that our answer is correct by double checking,

Therefore the answer is 46.5!

Cheers!


According to the concept of tragic hero, can we consider the happy prince and the swallow tragic heroes?

Answers

Answer:

Both Prince and swallow were alike because both were kind, fully sympathy for the needy and suffering people. Both gave all which was there with them. the swallow gave his own life by carrying out all the errands commanded by the Prince.

Step-by-step explanation:

PLEASE HURRY NEED HELP!!!!!
The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.88 before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the total cost of the meal? Round your intermediate calculations and answer to the nearest cent.

Answers

Answer:

80.22

Step-by-step explanation:

6% of a value is 510

Answers

Answer:

The value is 8500

Step-by-step explanation:

Of means multiply and is means equals

6% * V = 510

Change percent to decimal form

.06V = 510

Divide each side by .06

V = 510/.06

V =8500

Answer:

9

(6 ÷ 100) 150

6÷2×3

9

ans 9

What is 6 3/4 percent of 800

Answers

Answer:

answer is 746.

have a nice day and do good in math

pls help!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

72w^3

how: factor 8w^3= 2^3 times w^3

factor 9w= 3^2 times w

multiply each factor with the highest power

2^3 times 3^2 times w^3

=72w^3

5.
Use the quadratic model y = -4x^2 - 3x + 4 to predict y if x equals 5.

A. -89

B. -111

C. -411

D. -51

Answers

You should try C I’m not sure but try I guess!

Answer:

B. -111

Step-by-step explanation:

y = -4x^2 - 3x + 4

x = 5

y = -4(5)^2 - 3(5) + 4

y = -4(25) - 15 + 4

y = -100 - 15 + 4

y = -111

...............................................................................................................................................

Please, write -4x^2 (not 04x2).

Then the quadratic model is y = -4x^2 - 3x + 4.

Now substitute 5 for x:  y(5) = -4 (5)^2 - 3(5) + 4

Simplifying,                     y(5) = -4(25) - 15 + 4 = -100 - 11 = -111.

​Combined, there are ​Asians, Africans,​ Europeans, and Americans in a village. The number of Asians exceeds the number of Africans and Europeans by . The difference between the number of Europeans and Americans is . If the number of Africans is​ doubled, their population exceeds the number of Europeans and Americans by . Determine the number of​ Asians, Africans,​ Europeans, and Americans in this village

Answers

There are 123 Asians, 25 Africans, 21 Europeans and 8 Americans in the village.

To determine the number of Asians, Africans, Europeans, and Americans in the village, the following calculation must be performed:

 

A.S + A.F + E.U + A.M = 177 A.S = A.F + E.U + 69 E.U - A.M = 13 E.U = A.M + 13 2A.F = E.U + A.M + 29 A.F + E.U + 69 + A.F + E.U + A.M = 177 A.F + A.M + 13 + 69 + A.F + A.M + 13 + A.M = 177 2A.F + 3A.M = 177 - 13 - 13 - 69 E.U + A.M + 29 + 3A.M = 82 A.M + 13 + A.M + 29 + 3A.M = 82 5A.M = 82 - 13 - 29 A.M = 40/5 A.M = 8 E.U = 8 + 13 = 21 A.F = (21 + 29) / 2 = 25 A.S = 177 - 25 - 21 - 8 = 123

Therefore, there are 123 Asians, 25 Africans, 21 Europeans and 8 Americans in the village.

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30/80=e/40 what is the answer?

Answers

Answer:

15

Step-by-step explanation:

Testing a conjecture
What is the distance between -5 and 2?
units
So what do you think the answer would be

Answers

Answer:

the answer is 7

Step-by-step explanation:

–4x – 5 + 2x = –11
i need help solving for x in this equation

Answers

Answer:

x is 3

Step-by-step explanation:

-2x is -6

2x is 6

x is 3

Answer:

X=3

Step-by-step explanation:

-4(3)=-12

-12-5=-17

2(3)=6

-17+6=-11

Help help help help help help help

Answers

Answer:

90

Step-by-step explanation:

If here are approximately 15000 red cabs in Hong Kong. This represents approximately 80% of the total taxis. Find the total number of taxis in Hong Kong.

Answers

Answer: 18,750

Step-by-step explanation: First you divide 80 by 100, getting .80. Then you divide 15,000 by .8, getting 18,750 cars.

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