Select the correct answer.
1-
What is the sum of the first 10 terms of this geometric series? Use
Sn=
6,144 + 3,072 + 1,536 + 768 + ...
OA. 11,520
OB
12,276
OC. 23,040
OD. 24,550

Answers

Answer 1

Answer:

B

Step-by-step explanation:

The sum to n terms of a geometric series is

[tex]S_{n}[/tex] = [tex]\frac{a(1-r^{n}) }{1-r}[/tex]

where a is the first term and r the common ratio

Here a = 6144 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{3072}{6144}[/tex] = [tex]\frac{1}{2}[/tex] , then

[tex]S_{10}[/tex] = [tex]\frac{6144(1-(\frac{1}{2}) ^{10}) }{1-\frac{1}{2} }[/tex]

     = [tex]\frac{6144(1-\frac{1}{1024}) }{\frac{1}{2} }[/tex]

     = 12288(1 - [tex]\frac{1}{1024}[/tex] ) ← distribute

     = 12288 - 12

     = 12276 → B

Answer 2

Answer:

B. 12,276

Step-by-step explanation:


Related Questions

PLZ HELP i jus want answer

Answers

Answer:

B. midpoint

Step-by-step explanation:

UT is located in the middle of UT as the lengths of ST and US are equal

i like boys
the subject is your mom

Answers

Answer:

i like woman

Step-by-step explanation:

the subject is your dad

A car salesperson makes 25% commission on each car sold. If the salesperson just sold a vehicle for $42,000, how much in commission was made?

Answers

Answer:

$10500

How I Found This Answer:

$42000 ÷ 4 = $10500

Hope This Helps.

The mathematics department has just received a $200000 donation. The department wants to invest in an annuity so that they can gove a prize every month to its most improved math student for next 15 years. The bank is offering 4.5% compounded monthly. What would be the size of the department’s monthly prize offered?

Posted this question 1000times plz someone answer, i beg plz help

Question about financial application functions

Plz help me with this question ASAP( being timed)

Plz show all working

Thank you so much God bless you

Answers

i think the answer is 6.7

2+3=8,
3+7=27,
4+5=32,
5+8=60,
6+7=72,
7+8=??

Answers

Answer:

98

Step-by-step explanation:

rotate 270° counterclockwise

Answers

Answer:

When rotating a point 270 degrees counterclockwise about the origin our point A(x,y) becomes A'(y,-x). This means, we switch x and y and make x negative.

Step-by-step explanation:

8. Your doctor records your height x (in inches) and your weight y (in
pounds) each time you have a medical exam.
Is this a function?

Answers

No, this is not a function

What is the value of (x)​

Answers

Answer:

x = -2

Step-by-step explanation:

12 + x = 10

x = 10 - 12

x = -2

Answer:

X=-2 12+(-2)=10

12-2=10

10=10

7/8 b - 2 b + 4 C where a equals -3 b equals 5 C equals 6 ​

Answers

Answer:

18.375

Step-by-step explanation:

I need this answer asap

Answers

Answer:

247

Step-by-step explanation:

the answer is 247!!!!!!!!!!!!!!!!!!

Pls Help me I’ll give brainliest

Answers

Answer:

3. 6/10 9/15 4. 62.5/100 0.625 5. 6/25 %24 6. 0.62 %62

Step-by-step explanation:

You have to find two numbers that would also be quivilant to whatever number. Please mark branliest.

if two angles are supplementary and one angle is 75 degrees what is the measure of the other?

Answers

Answer:

105 degrees

Step-by-step explanation:

supplementary angles equal 180 so 180-75=105

10 When line a is drawn in the xy-plane, it passes through quadrants II and III, but not through quadrants I and IV. Which of the following could des ribe line a ? A) The slope is 1 and the x-intercept is 0. B) The slope is () and the y-intercept is 5. C) The slope is -1 and the y-intercept is 0. D) The slope is undefined and the x-intercept is -5.​

Answers

Answer:

D the slope is undefined and the y intercept is -5

Step-by-step explanation:

quadrant II and III are on the left. the only way for a line to pass through those two quadrants without passing through I and I would have to be a negative x intercept. The slope would have to be undefined which would make a diagonal line. if the slope was 1 or anything higher it would end up hitting the other quadrants.

the distance from the base of a flagpole to a point on the ground is 24 feet. the flagpole has a height of 18. what is x the distance from the top of the flagpole to the ground.

Answers

You can solve this by doing Pythagorean theorem. I think thats what its called... a^2+b^2=c^2. So 24 squared plus 18 squared is 900. The square root of 900 is 30. The legnth of the third side is 30.

The distance from the top of the flagpole to the ground is 30 feet.

What is Pythagorean theorem?

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.

Given the distance from the base of a flagpole to a point on the ground = 24 feet

height of flagpole = 18 feet

the distance from the top of the flagpole to the ground is x

by Pythagorean theorem, we can find the distance

h² = b² + p²

h = hypotenuse = x

b = base = 24 feet

h = height = 18 feet

x² = 24² + 18²

x² = 576 + 324

x = √900

x = 30 feet

Hence the value of x is 30 feet.

Learn more about Pythagorean theorem;

https://brainly.com/question/14930619

#SPJ5

how can you get 2 1/2÷5/8​

Answers

Answer: 4

Step-by-step explanation:

Change the 2.5 to an improper fraction, then multiply by the reciprocal of 5/8.

[tex]2\frac{1}{2} /\frac{5}{8} =\frac{5}{2}*\frac{8}{5}=\frac{40}{10} =4[/tex]

Conversion a mixed number 2 1/

2

to a improper fraction: 2 1/2 = 2 1/

2

= 2 · 2 + 1/

2

= 4 + 1/

2

= 5/

2

To find new numerator:

a) Multiply the whole number 2 by the denominator 2. Whole number 2 equally 2 * 2/

2

= 4/

2

b) Add the answer from previous step 4 to the numerator 1. New numerator is 4 + 1 = 5

c) Write a previous answer (new numerator 5) over the denominator 2.

Two and one half is five halfs

Divide: 5/

2

: 5/

8

= 5/

2

· 8/

5

= 5 · 8/

2 · 5

= 40/

10

= 10 · 4/

10 · 1

= 4

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 5/

8

is 8/

5

) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step , cancel by a common factor of 10 gives 4/

1

.

In words - five halfs divided by five eighths = four.

5) The school that Lexy goes to is selling tickets to the annual talent show. On the first day
of ticket sales the school sold 14 adult tickets and 11 student tickets for a total of $128. The
school took in $88 on the second day by selling 14 adult tickets and 1 student ticket. What
is the price of each adult ticket and student ticket?
$6.00 for adult tickets and $4,00 for student tickets
how do you work it out

Answers

Answer:

Adult ticket is $6

Student ticket is $4, as you said.

Step-by-step explanation:

We'll call adult tickets x and student tix y.

14x + 11y = 128

14x + y = 88

First, solve the second equation for y in terms of x:

y = 88- 14x

Then substitute that for y into the first equation:

14x + 11(88-14x) = 128

14x + 968 - 154x = 128

-140x = -840

x = 6  The adult ticket is $6, like you said.

Now take that and solve for y:

y = 88 - 14(6)

y = 88 - 84

y = 4 The student ticket is $4, as you said.

Hope this helps. Feel free to ask questions so you can understand.

Triangle One or Triangle Two, which one is a right triangle?

Explain how you know.

Answers

Answer:

The first triangle is because right triangles are tilted on a 90 degree angle


At Paulson Middle School, 75% of the sixth grade class is making a B or higher. If there are 21 students
making a B or higher, then how many students are in the class?

Answers

Answer:

28 students

Step-by-step explanation:

x = Number of students

21 students = 75 percent of x = 3/4 x

3/4 x = 21

x = 21 * (4/3) = 7*4 =  28

Answer:

About 16

Step-by-step explanation:

How many solutions are shown by the graph of the quadratic function? A zero B one C two D three​

Answers

Answer: B) one

A solution to a quadratic is the same as the root or x intercept (when talking about real numbers). The graph shows that we have exactly one x intercept, which is where the parabola touches the x axis. So we have one root.

A flower garden is circular. The diameter of the garden is 20 feet. Which is the closest to the total area of the garden?

Answers

Answer:

40

Step-by-step explanation:

The total area of the garden is  31.75 sq meters

The first step is to calculate the radius if the circle

The diameter of the garden is 20 feet

2π × radius= 20

2π × 3.14= 20

6.28π= 20

π= 20/6.28

π= 3.18

The area of the flower garden can be calculated as follows

= π × radius²

= 3.14 × 3.18²

= 3.14 × 10.1124

= 31.75 sq meters

Hence the total area of the garden is 31.75 sq meters

Please see the link below for more information

https://brainly.com/question/21760828?referrer=searchResults

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

Answers

Answer:

480y  

Step-by-step explanation:

multiply 6 x 8 x 60= 480

PLSS HELP ASAP!! I WILL GIVE YOU BRAINLYEST!!ONLY ANSWER IF U KNOW HOW TO!!

What is the difference between how you find the surface area of rectangular
prisms and how you find the surface area of triangular prisms? (write in complete sentences)

Answers

Triangular prism formula is w•(1/3b•h) while rectangular prisms formula is b•h•w

b- base h- height w- width

(5x^4y^7)(6x^2y)= ?I don't know how to do this I need step by step​

Answers

Answer:

y7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Group like terms:

(5x⁴y⁷)(6x²y) = 5·6x⁴x²y⁷y

= 30x⁴⁺²y⁷⁺¹

= 30x⁶y⁸

Find the slope of the line that passes through the two points.
(10.1) and (7,7)

Answers

Answer:

m = -2

Step-by-step explanation:

I believe that you meant (10, 1) and (7, 7) because otherwise I wouldn't be able to answer it.

So y2-y1/x2-x1 is your equation

First plug in the numbers

7-1/7-10

6/-3

-2

Therefore, m = -2

‼️‼️‼️‼️Please Help I really need to submit this by the end of the day and will automatically give branch to first answer‼️‼️‼️‼️‼️

Answers

Answer:

1. 9 = x

2. y = 2

Just copy these steps on paper, then submit.

Writing it yourself will help you, trust me :)

1. 2(x + 5) = 3x + 1

2(x + 5) = 3x + 1

Distribute the 2

2x + 10 = 3x + 1

-1                    -1

2x + 9 = 3x

-2x         -2x

9 = x

2. 3y - 4 = 6 - 2y

3y - 4 = 6 - 2y

     +4    +4

3y = 10 - 2y

+2y       +2y

5y = 10

Divide both sides by 5

y = 10/5

y = 2

Bill bought a table on sale for $630. This price was 72% of the original price.
What was the original price?

Answers

Answer:

The original price was $875.

Step-by-step explanation:

a = p * w

630 = 72% * w

630 / 0.72 = $875

$875 should be the original price, I hope this helps!

I need helpppp
Find the value for y when x =2: y= 2x+5

Answers

Answer:

y = 9

Step-by-step explanation:

If y=4x-5,what is the value of y when x is 7

Answers

Answer:

23

Step-by-step explanation:

y=4x-5

=4(7)-5

=28-5

=23

Y=4x-5

Input x=7

Y=4(7)-5

Multiple 4(7)

28-5

Sub 28-5

FINAL ANWSER IS 23

what is the slope help pls?

Answers

Answer:

y=7x-6

Step-by-step explanation:

You would first pick two coordinates in this case would be ( 0, -6), (1,1). You would find your slope by using the formula y2-y1/x2-x1. Which would give you a slope of 7/1 which is equal to 7. Then you would use point slope formula which is y-y1=m(x-x1). would would plug in the numbers and it would say

y-(-6)=7(x-0). Then you would simplify the y-(-6) which would be y+6 then you would distribute the 7. Your whole equation would look like y+6=7x+0. Then you would use inverse operations and subtract -6 from the left side of the equals and subtract it from 0 giving you -6. Therefore your whole equation would be y=7x-6. Hoped this helped.

CAN SOMEONE PLEASE HELP ME ON THIS PLEASE SHOW THE WORK I REALLY JUST NEED ANYONE BRO TO BREAK IT DONE FOR ME

Answers

Answer:

I geuss we'll neva know

*cues music*

Step-by-step explanation:

Other Questions
Amber bought 3 kg of walnuts for $6.75 per kg and 4 kg of almonds for $8.69 per kg. She gave the cashier a $100 bill. What should Amber get back in change? Summary of the Latin American revolution In French write the sentence that means "One left "or "We left." What TYPE of conflict is present? In The tiger rising (-8y^5+2X)-3y^5Do you know the answer represent x[tex] \geqslant [/tex]3 on a number line HELP PLEASE! and please give out good answers.What is the best measure of center to use to summarize the data set?1. Median2. Mode3. Range 4. Mean Put the numbers below in numerical order from least to greatest.-9, 12, 0, 99, -107, 3, 5, -421. 0,3,5,-9, 12, -42, 99, -1072.-9,-42, -107, 0, 3, 5, 12, 993.-107,-42, -9,3, 5, 12, 99, 04.-107, -42, -9,0, 3, 5, 12, 99 PLZZZZ HELP!!! ASAP IT IS DUE TODAY!!!!!! if [tex]\sqrt{ 7-y[/tex] = 6 , then y = ? Whats the answer for this? How many meters does light travel 8 hours? The speed of light is 3x10(8th power)m/s? what s this pls helpppppp What is the Golgi's function pls help In a class where there are a total of 80 pupils, 20 are girls and the remainingare boys. What percent of the class are boys? x3 - 3x^2- 54x + 112 Please help me with this question. Plz, help me I will give you a brainlist and Extra points. If you help me. Select the expression that matches subtract 3 from 4/9 of 20.A. 20(4/93)B. (4/920)3C. 4/9(203)D. 3(4/920) 4 (10-x) = 8x + 4 What is x? what is the answer to this question marking brainliest if it's correct and explain