PLEASE HELP ME 20 PTS
Consider the series Three-halves + three-fourths + StartFraction 3 Over 8 EndFraction + StartFraction 3 Over 16 EndFraction + ellipsis

What expression defines Sn?

S Subscript n Baseline = 3 (one-half Superscript n)
S Subscript n Baseline = three-halves (one-half Superscript n)
S Subscript n Baseline = 3 (1 minus one-half Superscript n)
S Subscript n Baseline = three-halves (1 minus one-half Superscript n)

PLEASE HELP ME 20 PTSConsider The Series Three-halves + Three-fourths + StartFraction 3 Over 8 EndFraction

Answers

Answer 1

Answer:

The answer is C

Sn=3(1-1/2^n)

Step-by-step explanation:

Answer 2

The expression which defines [tex]S_{n}[/tex] is option c which is [tex]S_{n} =3(1-1/2){n}[/tex].

What is geometric progression?

A geometric progression is basically a sequence in which all the terms have a common ratio. It is also known as G.P.

How to find sum of G.P.?

We have been given a sequence as 3/2+3/4+3/8+3/16+.....

If we carefully see the sequence then we will find that this sequence is a Geometric progression because there is a common ratio between all the terms that is 1/2.

Ratio of first and second term=3/4/3/2=1/2

We know that Sum of GP when n<1 is [tex]a(1-r^{n} )/1-r[/tex]

we have to just put the value of =3/2 and r=1/2 in the above formula.

[tex]S_{n}[/tex]=3/2(1-[tex]1/2^{n}[/tex])/1-1/2

=3/2(1-[tex]1/2^{n}[/tex])/1/2

=3*2/2(1-[tex]1/2^{n}[/tex])

=3(1-[tex]1/2^{n}[/tex])

Hence the expression which denotes [tex]S_{n}[/tex] is 3(1-[tex]1/2^{n}[/tex]).

Learn more about geometric progression at https://brainly.com/question/12006112

#SPJ2


Related Questions

Can anyone help me ASAP please

Answers

Are you Muslim by any chance?

You pick a card at random, put it back, and then pick another card at random. 3 4 5 6 What is the probability of picking a 5 and then picking a 3?

Answers

Answer:

1/16

Explanation:

You have a 1/4 chance both times but in probability you multiply when in a sequence of events. 1/4*1/4= 1/16

g if we want to calculate a confidence interval of the difference of two proportions what is the standard error (do not pool for this answer)

Answers

Answer:

The standard error is [tex]s = \sqrt{\frac{\pi_1(1-\pi_1)}{n_1}+\frac{\pi_2(1-\pi_2)}{n_2}}[/tex], in which [tex]p_1,p_2[/tex] are the proportions and [tex]n_1,n_2[/tex] are the sample sizes.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The standard error is:

[tex]s = \sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

For the difference of proportions:

For proportion 1, the standard error is:

[tex]s_1 = \sqrt{\frac{\pi_1(1-\pi_1)}{n_1}}[/tex]

For proportion 2, the standard error is:

[tex]s_2 = \sqrt{\frac{\pi_2(1-\pi_2)}{n_2}}[/tex]

For the difference:

The standard error is the square root of the sum of the squares of each separate standard error. So

[tex]s = \sqrt{(\sqrt{\frac{\pi_1(1-\pi_1)}{n_1}})+(\sqrt{\frac{\pi_2(1-\pi_2)}{n_2}})^2} = \sqrt{\frac{\pi_1(1-\pi_1)}{n_1}+\frac{\pi_2(1-\pi_2)}{n_2}}[/tex]

The standard error is [tex]s = \sqrt{\frac{\pi_1(1-\pi_1)}{n_1}+\frac{\pi_2(1-\pi_2)}{n_2}}[/tex], in which [tex]p_1,p_2[/tex] are the proportions and [tex]n_1,n_2[/tex] are the sample sizes.

how many 1/8 cups are in 4/4

Answers

Answer:8

is the answer

Find the value of x. If necessary, write your answer in simplest radical form.
12
9

Answers

Answer:

3√7

Step-by-step explanation:

9²+B²=12²

simplify

81+B²=144

minus the 81

B²= 63

HELP! PLEASEE I’ve been stuck!! I WILL GIVE BRAINLY,,, THANK YOU SM

Answers

Answer:

$119

Step-by-step explanation:

08:00 - 12:15 = 4hrs 15mins

13:00 - 17:15 = 4hrs 15mins

Total hours worked = 8hrs 30 mins

$14/hr

14 × 8 = 112

30 mins is half of an hour so 14/2 = 7

$7 for 30 mins

112 + 7 = 119

$119

hope this helps ^^

Complete the blanks:

Horizontal lines have _____
slope and vertical lines have slope.
Horizontal lines have _______ equations that say __= any number.
Vertical lines have equations that say __= any number.

Answers

Answer:

Horizontal lines have __zero___

slope and vertical lines have   undefined   slope.

Horizontal lines have ___linear____ equations that say _y_= any number.

Vertical lines have equations that say _x_= any number.

Answer:

To write the equation of a horizontal line, we only need to specify where it intersects with the y-axis. This will look like y=k, where k is where the line crosses the y-axis.

The equation of a vertical line always takes the form x = k, where k is any number and k is also the x-intercept .

Step-by-step explanation:

Mark me brainliest plzzzzzzzzzzzzzzzzzzzzzz

Your neighbor's are building a dog pen in the shape of a right triangle. The legs of the triangular pen measures 9 meters and 12 meters. Find the perimeter of the enclosed space

Answers

Use the Pythagorean Theorem. If you find the sum of the two legs squared (81+144), you get 225. Take the square root and you get 15. Now add 9+12+15. The perimeter is the sum: 36.

Find the distance between the two points rounding to the nearest tenth (if necessary).
(-6, 6) and (3, -6)

Answers

Answer:

[tex]\displaystyle d = 15[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-6, 6)

Point (3, -6)

Step 2: Identify

(-6, 6) → x₁ = -6, y₁ = 6

(3, -6) → x₂ = 3, y₂ = -6

Step 3: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]:                                                          [tex]\displaystyle d = \sqrt{(3--6)^2+(-6-6)^2}[/tex][√Radical] (Parenthesis) Subtract/Add:                                                           [tex]\displaystyle d = \sqrt{(9)^2+(-12)^2}[/tex][√Radical] Evaluate exponents:                                                                      [tex]\displaystyle d = \sqrt{81+144}[/tex][√Radical] Add:                                                                                                 [tex]\displaystyle d = \sqrt{225}[/tex][√Radical] Evaluate:                                                                                         [tex]\displaystyle d = 15[/tex]

I NEED HELP PLEASEeeee

Answers

Answer:

All false jhgffyyhvfftuhvgfy

Find the 12th term of the geometric sequence 5, 20, 80, ...5,20,80

Answers

Answer:

a₁₂ = 20971520

Step-by-step explanation:

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 5 and r = a₂ ÷ a₁ = 20 ÷ 5 = 4 , then

a₁₂ = 5 × [tex]4^{11}[/tex] = 5 × 4194304 = 20971520

which polygon matches this set of ordered pairs?
A (1,3),B(1,9),c(4,9),d(4,3)

Answers

Answer:

B

Step-by-step explanation:

if 7x - 9 equals 15, what is the value of 7x +1

Answers

Answer:

25

Step-by-step explanation:

First,

7x - 9 = 15

=> 7x = 15 + 9

=> 7x = 24

[tex] = > x = \frac{24}{7} [/tex]

Now putting its value in 7x + 1,

= 7x + 1

[tex] = 7 (\frac{24}{7} ) + 1[/tex]

[tex] = 7 \times \frac{24}{7} + 1[/tex]

= 24 + 1

= 25 (Ans)

Name the postulate, if possible, that makes the triangles congruent. *​

Answers

it should be ASA since they told you that there are 2 angles and one side that are equal

Answer:

answer is ASA

Step-by-step explanation:

two triangles are congruent by angle side angle theorem.

What clockwise rotation is equivalent to a 90° counterclockwise rotation?

Answers

Answer: 270°

Step-by-step explanation:

A full rotation is 360° so to find out the clockwise equivalent of a 90° counterclockwise rotation, deduct the counterclockwise rotation from 360°:

= 360 - 90

= 270°

If you rotated 90° counterclockwise, you would get to the same point as if you rotated 270° clockwise.

What is the equation of the line that is parallel to y minus 3 x = 2 and that passes through (6,1)?

Answers

Answer:

y = 3x - 17

Step-by-step explanation:

y - 3x = 2

y = 3x + 2

Parallel slope (m) = 3

Passes through (6, 1)

Slope-intercept:

y - y1 = m(x - x1)

y - 1 = 3(x - 6)

y - 1 = 3x - 18

y = 3x - 17

hope this helps!! feel free to clarify

Find the value of the variable. Round decimal to nearest tenth if necessary. ​

Answers

Given:

In a right angle triangle,

Length of legs are x and 7.

Length of hypotenuse = y

Measure of angle between leg 7 and hypotenuse = 33 degrees.

To find:

The value of x and y.

Solution:

In a right angle,

[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]

[tex]\tan (33^\circ)=\dfrac{x}{7}[/tex]

[tex]7\times \tan (33^\circ)=x[/tex]

[tex]7\times 0.6494=x[/tex]

[tex]4.5458=x[/tex]

Approximate the value to the nearest tenth.

[tex]x\approx 4.5[/tex]

In a right angle triangle,

[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]

[tex]\cos (33^\circ)=\dfrac{7}{y}[/tex]

[tex]y=\dfrac{7}{\cos (33^\circ)}[/tex]

[tex]y=\dfrac{7}{0.83867}[/tex]

[tex]y=8.34655[/tex]

Approximate the value to the nearest tenth.

[tex]y\approx 8.3[/tex]

Therefore, the correct option is D.

1 gold plate weight 30 mg if the weight of some plates is 450 ml mg find the number of plates​

Answers

Answer:

15 plates

Step-by-step explanation:

450 divided by 30 = 15, meaning 30 x 15 would be 450 mg. This also means that if the weight of some plates was 450 mg, there would be 15 plates.

Answer:

15

Step-by-step explanation:

Your units are a little confused.

The mass (total ) is 450 mg

1 plate weighs 30 mg

1 plate / 30 mg  =  x plates / 450 mg             Cross multiply

1 * 450 = 30x                                                   Divide by 30

450 / 30 = x

x = 15

There are 15 gold plates.

Sove for X choose one. Pls

Answers

those arcs are congruent since the chords inside are congruent. so we can just make the equation
2x= x+40
which simplifies down to x=40

100 POINTS !!!! Let f(x)=√3x and g(x)=x-6 What's the smallest number that is in the domain of fog?

Answers

Answer:

6

Step-by-step explanation:

fog(x) = √3(x-6)

Domain => 3(x-6) ≥ 0

<=> x-6≥ 0

=> x ≥ 6

so, the smallest number is 6

As

(fog)(x)=f(g(x))

g(x)=x-6

f(g(x))

f(x-6)√3(x-6)

So

x-6≥0x≥6

Smallest no is 6

The table shows the number of gallons of water

Answers

Answer:

Hello! answer: 360

Step-by-step explanation:

The rule is multiply by 30 I found this out by using the info shown in the table like...

120 ÷ 4 = 30 90 ÷ 30 = 3 60 ÷ 30 = 2 and so on matching up with the chart! so what I did was 12 × 30 to get the final answer to follow the pattern so... 12 × 30 = 360 therefore the answer is 360 HOPE THAT HELPS!

The first day of a water polo tournament the total value of tickets sold was $1540. One-day passes sold for $10
and tournament passes sold for $20. The number of tournament passes sold was 23 more than the number of day
passes sold. How many day passes and tournament passes were sold?

Answers

Answer:

59 tournament passes and 36 one-day passes were sold.

Step-by-step explanation:

Since the first day of a water polo tournament the total value of tickets sold was $ 1540, and one-day passes sold for $ 10 and tournament passes sold for $ 20, and the number of tournament passes sold was 23 more than the number of day passes. sold, to determine how many day passes and tournament passes were sold, the following calculation must be performed:

20 x 33 + 10 x 10 = 760

20 x 63 + 10 x 40 = 1,660

20 x 58 + 10 x 35 = 1,510

20 x 59 + 10 x 36 = 1,540

Thus, 59 tournament passes and 36 one-day passes were sold.

Sam is practicing speed skating at an ice rink.The distance around the rink is 150 yards. He skated around the rink 5 times. How many feet did Sam skate

Answers

2250 feet
u multiply 150*5 and then convert 750 yards to feet
I believe 2250 feet because 150 yards is 450 in feet times 5 is 2250. hope this helps!

Let BC=CD=12cm, and the length of arc BD=15cm. Find the area, in square centimeters, of sector BCD.

Answers

Answer:

option b : 90 sq. cm

Step-by-step explanation:

1) Area of circle with radius = 12cm

Area = π r^2

= 3.14 * (12) (12)

= 3.14 * 144

= approx 452.4

2) Circumference of circle with radius = 12cm

Circumference = 2πr

= 2 * 3.14 * 12

= approx 75 .4

3) Arc length = 15cm ......(given)

[tex] \frac{area \: of \: sector}{total \: area} = \frac{arc \: length}{circumference} [/tex]

[tex] \frac{area \: of \: sector}{452.4} = \frac{15}{75.4} [/tex]

[tex]area \: of \: sector \: = \frac{15 \times 452.4}{75.4} [/tex]

[tex] = \frac{6786}{75.4} [/tex]

[tex] = 90 {cm}^{2} [/tex]

The x-intercept is the point on the x-axis where the line crosses it. The
y-coordinate of the line's x-intercept is always zero. The x-coordinate of the
x-intercept is the number where it crosses the x-axis. A line with an x-
intercept of (5,0) crosses the x-axis at the number 5. A line with an x-
intercept of (-5,0) crosses the x-axis at -5.
Which of these coordinates could be a line's x-intercept?
A
(3,1)
B
(0,-12)
С
(-5,4)
(-7,0)

Answers

Answer:

D

Step-by-step explanation:

In desperate need. for answer 11 and 12.
Question 11 has to have an answer with explanation and
Question 12 has 3 parts. I need answers to all three with explanations for all three.

Answers

11. The answer would be 3:30 because in all it took her 3:50 minutes so subtract from 7:20 you get 3:30

Hence, Solve the equation
X Х
1- x
4x=​

Answers

I’m not sure I understand what’s going on here. But if you’re saying x=1, and the problem is 4x=?. Then 4(1)=4

Solve for r.

K=4r-7s

r=

Answers

Answer:

[tex]r=\frac{k+7s}{4}[/tex]

Step-by-step explanation:

HELPP!!! ALMOST OUT OF TIME

Answers

Answer:

option 2 is correct

Step-by-step explanation:

Another 2 btc please

Determine if lines AB and CD are parallel, perpendicular, or neither. A(-3,8), B(3,2), C(7,1), D(5,-1)

Answers

Answer:

Step-by-step explanation:

The slope of line AB is

[tex]\frac{2-8}{3-(-3)} = \frac{-6}{6} = -1[/tex]

The slope of line CD is

[tex]\frac{-1-1}{5-7} = \frac{-2}{-2} = 1[/tex]

Since the slopes multiply to [tex]-1[/tex], these lines are perpendicular to one another.

The lines AB and CD are perpendicular to one another.

What is the slope?

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

where (x₁, y₁) and (x₂, y₂) are the two points that you are trying to find the slope between.

let (x₁, y₁ ) = A(-3,8), and (x₂, y₂ ) = B(3,2)

The slope of line AB is;

m =  ( y₂ - y₁ ) / ( x₂ - x₁ )

m = ( 2 - 8) / ( 3 +3 )

m = -1

let (x₁, y₁ ) =  C(7,1) and (x₂, y₂ ) = D(5,-1)

The the slope of line CD is;

m =  ( y₂ - y₁ ) / ( x₂ - x₁ )

m = ( -1 - 1) / ( 5 - 7 )

m = 1

Since slope of AB and CD are not equal the lines are not parallel therefore, these lines are perpendicular to one another.

Learn more about slope here:

https://brainly.com/question/2503591

#SPJ2

Other Questions
1. T = tall an t = short TT and Tt would result in the following phenotype Does anyone know he answers for 2 and 3? Need full work and explanations If y varies directly with x and y = 28 when x = 4, what is y when x = 3? Which algebraic expression represents 10 less than a number? A. n + 10 B. 10 n C. n 10 D. 10n How do vaccinations provide protection against pathogens?O Antibodies manufactured in a lab are injected into the patient. Thiscauses the release of antigens that will provide protection againstspecific organisms.O Shots containing antibodies are injected into the circulatory system.These antibodies are transported to the cells where they areneeded.O A dead or changed virus or bacteria is injected into the body. Thistricks the body into producing pathogen-specific antibodies forfuture protection.White blood cells are artificially produced in a lab and made into avaccine. This is then injected into the body to provide protectionagainst all organisms. Which elements does strong narrative writing always contain? Check all that apply. i need help i can't tell if water gets cold faster when it's hot or when it's cold? Help mePleaseWhich of the following involves the conversion of natural habitats into farmland Edward invested $43,800 in an account which yields 4.8% annually and is not compounded. How much will be in the account after 2 years? 1"Grandpa, don't die!" Emma Abrams choked with deep conviction. "You mean everything to me. I can't live without you!" This was the part of the script where Emma was supposed to burst into real tears, yet her big blue eyes were like a desert. Emma tried to think of something despairing, like the time her toddling brother sliced his finger on a piece of broken glass while she was watching him, or the devastation she felt when learning that her cat had run away. These sad reflections did nothing to moisten her eyes. "Well, don't panic, Emma," she coached herself. "When it counts in the audition today, you'll cry real tears. You've just got to!"2It was difficult to study the script in the car with all of the bumps, turns, and sudden stops typical of trips into New York City, but Emma was determined to make sure that she had each line memorized word for word. She had studied every line nonstop since her agent had called with the good news. It was her first Broadway audition and her entire family had helped her to prepare. Her older sister helped her choreograph a dance, her father improvised with her by playing the part of Grandpa at the dinner table, and her little brother listened to her read her lines. No one was more constant in helping Emma realize her thespian ambitions than her mother, though. Mom was the one who accompanied Emma to her piano, voice, dance, and drama lessons each weekday after school. She went to every audition and performance with Emma, and Emma wished with all her heart that Mom was here with her now.3Emma appreciated her mother's constant companionship and support of her acting career. Her mother was always present backstage at the Dutch Apple Dinner Theater where Emma was currently starring in Annie on Friday and Saturday nights. Mom was the driving force behind her daughter's acting career, but she refused to drive in New York City. The big city frightened Mrs. Abrams and made her jittery. Since she was already nervous about Emma's big audition, Mrs. Abrams thought it best if she just stayed home. Emma tried to behave like a grown-up when her mother told her she wouldn't be going, but inside Emma felt panicky and alone.4Emma's father continued to navigate through the heavy traffic streaming into the city. As the skyline of New York City came into view, Emma started to cry. She knew she should have begged her mother to come with her but now it was too late! Her father looked into the rearview mirror and said, "Wow, honey! If you can do that during the audition, you're a shoo-in." He was genuinely impressed and didn't realize that her tears were real. Emma stared out the window, feeling sorry for herself.5Emma watched her dad hand his car keys to the parking attendant. They walked in silence for several blocks, with Emma holding her father's arm. She wanted to ask her father to come in to the audition with her, but she knew he'd be uncomfortable around a bunch of stage mothers. Emma soon found herself being escorted into a crowded lobby. She waved good-bye to her father and disappeared inside the theater.6When she emerged from the audition several hours later, Emma was exhausted but triumphant. "I don't ever want Mom to come to an audition where I have to cry again!" she declared as they left the theater together.7Knowing his daughter's flair for the dramatic, Mr. Abrams quickly said, "Now don't be angry with your mWhich of the following would be the BEST summary of Emma Finds a Way?A.Emma goes to an acting audition in New York City with her father. Although her mother is her usual acting companion, she stays home this trip. Emma missed her mother on the trip, and she realizes that her mothers support and encouragement are so important that it helps her even when her mom is not with her.B.Emma goes to an acting audition in New York City with her father. Although her mother is her usual acting companion, she stays home this trip since she knows Emma can do it on her own. Emma missed her mother on the trip, and she realizes that she values her mothers support and encouragement.C.Emma goes to an acting audition in New York City with her father. Although her mother is her usual acting companion, she stays home this trip since she knows Emma is not prepared. Emma missed her mother on the trip, and she realizes that she cannot audition without her mother.D.Emma goes to an acting audition in New York City with her father. Although her mother is her usual acting companion, she stays home this trip. Emma missed her mother on the trip, but she realizes that she will not ever need her mother's support to be successful. what equation represents the model shown below? Please help me on both of these if u can In WXY, the measure of Y=90, WY = 5, XW = 13, and YX = 12. What ratio represents the cosine of X? How did u get 4/3. Because Im confused Can a state use its laws against trespassing as a means to arrest illegal aliens? will mark brainliest Select the correct text in the passage. In this excerpt from "The Road Not Taken" by Robert Frost, which pair of lines casts doubt on the certainty the speaker felt when choosing one path over the other? Two roads diverged in a yellow wood, And sorry I could not travel both And be one traveler, long I stood And looked down one as far as I could To where it bent in the undergrowth; Then took the other, as just as fair, And having perhaps the better claim, Because it was grassy and wanted wear; Though as for that the passing there Had worn them really about the same, And both that morning equally lay In leaves no step had trodden black. Oh, I kept the first for another day! Yet knowing how way leads on to way, I doubted if I should ever come back. Why might Nixon's expansion of the war into Cambodia have created such a strong response from students in America? In trapezold ABCD, point D has coordinates D(1,3). If the trapezoid is translated2 units left and 5 units down, what are the coordinates of D'? Item 4Review the images from "Why We Buy What We Buy."Which statement best integrates the ideas from the text with the information provided in the images?Advertisers rely more on illustrations than words to make similar products stand out from the rest. Advertisers for similar products create appealing slogans and brands to make their product more memorable to buyers. Advertisers rely on similar words, phrases, slogans, and images to appeal to different types of customers. Print advertising is the most effective way to highlight what makes one product better than the rest. A bakery sells chocolate, vanilla, and strawberry cakes. The cakes are sold randomly to customers. If there are 6 chocolate cakes, 12 vanilla cakes, and 9 strawberry cakes, what is the probability that you order a cake and get a vanilla or strawberry cake?