Find the sum of the first 10 terms in this geometric series.
1+3+9+27+...

Answers

Answer 1

Answer:

29524

Step-by-step explanation:

The sum of the first  n  terms is  [tex]S_n=a_1\frac{1-r^n}{1-r}[/tex]  where [tex]a_1[/tex] is the first term and r is the common ratio.

For the sequence in this question,  [tex]a_1=1,\,r=3[/tex].

[tex]S_10=(1)\frac{1-3^10}{1-3}=\frac{-59048}{-2}=29524[/tex]


Related Questions

Help me
With stepsss pleaseee

Answers

Answer:

Step-by-step explanation:

What is the midpoint of 1 and 2 and 3 and 4?

Answers

The midpoint of 1 and 2 and 3 and 4 is (2,3).

The formula for midpoint = (x1 + x2)/2, (y1 + y2)/2.

The end of a line at a point that is equally distant from both ends, a time interval between an event's beginning and end.

The point on a graph or figure where the figure stops might be referred to as the endpoint. It can be the point joining the sides of a polygon (the vertex), the common endpoint of two rays making an angle, the two extreme points of a line segment, the one end of a ray.

Use numbers, fractions, mixed numbers, or decimals to enter two points. The midpoint calculator displays the required research:

Halfway between the two specified pointsOne endpoint and a midpoint are provided.The separation of two endpoints.Additionally, the calculator offers a link to the Slope Calculator, which will solve and display the work necessary to identify the slope, line equations, and x and y intercepts for any given pair of points.

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Given (x – 7)2 = 36, select the values of x.
x = 13
x = 1
x = –29
x = 42

Answers

Answer:

The values are 13 and 1

I hope this is correct

5/6 - 1/4 please answer needed quick

Answers

Answer:

7/12

Step-by-step explanation:

write all numerators above the least common denominator 12

10-3/12

subtract

10-3=7

Answer 7/12

Answer:

I already said it in the comments 5 min ago but 7/12

Step-by-step explanation:

PLEASE ANSWER ASAP!
The question is on the screenshot

Answers

Answer:

A

Step-by-step explanation:

Cross multiply

2x8 over 3x6

Answer:

B. i beleive

Step-by-step explanation:

Please help:( if anyone is good at algebra, assist me in this tragic time

Answers

Step-by-step explanation:

x -2 -1 2 7

y -6 -6 -2 3

All y are in under root

So sorry if it’s wrong

Helen told her mom she got 85% on a recent math test. She remembered the test was out of 60. What was her actual mark? *

Answers

Answer: 85% out of how many questions.

Step-by-step explanation:

what’s the perimeter of a rectangle that’s

6m
6m
9m
9m

Answers

Answer:

30

Step-by-step explanation:

perimeter is the outside of a shape so just add them all together honestly

Using the graph below with the following point find the length of the two diagonals to determine if TUVW is a rectangle or not T(-5,0) U(7,3) V(9,-6) W(-3,-9)

Answers

The lengths of each diagonal are given as follows:

[tex]TV = \sqrt{232}[/tex][tex]WU = \sqrt{244}[/tex]

As the lengths are different, the polygon TUVW is not a rectangle.

How to obtain the diagonals?

The diagonal length is obtained using the formula for the distance between two points, presented as follows:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

In which [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the coordinates of each point.

The first diagonal is TV, and the length is given as follows:

[tex]TV = \sqrt{(9 - (-5))^2 + (6 - 0)^2} = \sqrt{232}[/tex]

The second diagonal is WU, and the distance is given as follows:

[tex]WU = \sqrt{(-3 - 7)^2 + (-9 - 3)^2} = \sqrt{244}[/tex]

A rectangle has diagonals of equal length, hence the polygon for this problem is not a rectangle.

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Multiply: -z^3(5 + z - 4z^2)

Answers

Answer:

4z^5 - z^4 - 5z³

Step-by-step explanation:

-5z³ - z^4 + 4z^5

—4 (-z^3) z^2 + z (—z^3) + 5 (—z^3)

Which graph best represents a function with a domain of all real numbers greater than or
equal to 1 and less than or equal to 2?

Answers

The graph best represents a function with a domain of all real numbers greater than or equal to 1 and less than or equal to 2 are area between equation x + y [tex]\geq[/tex] 1 and x + y [tex]\leq[/tex] 2 .

Which function has a domain that includes all real numbers?

The collection of all potential inputs for a function is known as its domain. For instance, the domain of f(x)=x2 is all real numbers, and the domain of g(x)=1/x is all real numbers other than x=0.

How do you plot all real values on a graph?

The real numbers are all the numbers that make up the real number line, per definition. Thus, all real numbers can be graphed by simply drawing a number line. The number line is a graph of all real numbers since it contains all of the rational numbers.

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What is the volume of the solid hemisphere?

Answers

Answer:

volume of the hemisphere

[tex] \frac{1}{2} \times \frac{4}{3} \times \pi \times {3}^{3} \\ \frac{2}{3} \times 27 \times \pi \\ 18\pi {cm}^{3} [/tex]

Janelle is on the drill team. At her last
practice, Janelle improved her best time
by 3/8 of a second. Which shows 3/8 written in
decimal form?

Answers

Answer:

3/8=0.375

Step-by-step explanation:

The cost to hire a tent consists of two parts. $c + $d per dayThe total cost for 4 days is $27. 10 and for 7 days is $34. 30. Write down two equations in c and d and solve them

Answers

The cost to hire a tent consists of a fixed cost of $17.50 and a variable cost of $2.40 per day.

Let's call the total cost of hiring a tent for 4 days as T4, and the total cost of hiring a tent for 7 days as T7.

The first equation is the cost for 4 days:

T4 = c + 4d

The second equation is the cost for 7 days:

T7 = c + 7d

We know the values of T4 and T7 from the problem statement:

T4 = $27.10 and T7 = $34.30

We can now use these two equations and their corresponding values to solve for c and d:

Substitute the value of T4 into the first equation:

$27.10 = c + 4d

Substitute the value of T7 into the second equation:

$34.30 = c + 7d

Now we have a system of two equations with two variables (c and d).

Subtract 4d from both sides of the first equation:

$27.10 - 4d = c

Subtract c from both sides of the second equation:

$34.30 - c = 7d

Now we can substitute the value from step 4 into step 5:

$34.30 - $27.10 + 4d = 7d

7d = $34.30 - $27.10 + 4d

3d = $7.20

d = $7.20 / 3 = $2.40

Now we have the value of d, we can substitute it back into the first equation to find the value of c:

$27.10 = c + 4d

$27.10 = c + 4($2.40)

$27.10 = c + $9.60

c = $27.10 - $9.60

c = $17.50

Therefore, c= $17.50 and d= $2.40

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There are two numbers such that one of the numbers is 5 2/7 more than twice the other number. If you multiply the smaller number by 5, the product is twice the larger number. What are the two number? Please no links and answer fast!

Answers

Answer:

Smaller number: 10 4/7

Bigger number: 26 3/7

Step-by-step explanation:

How I did this problem was very simple, so first I made my different numbers, the smaller number being x, and the larger number being

2x+5 2/7. Then, I did the equation 5x=4x+ 74/7. How I got this equation was I multiplied 5 2/7 into 2 and got 74/7. After the equation, I got my answers, then double checked them.

You are welcome!

Please answer question plz!!!!!

Answers

Answer:

V = 214.32

Step-by-step explanation:

Remark

You have to be a little careful with this question. The temptation is just to take the difference of the heights. That is not correct. The difference has to be multiplied by the base to get the volume.

Formula

V = (h1 - h2)* Base

Givens

h1 = 32.9

h2 = 29.1

Base = 56.4

Solution

V = 56.4 ( 32.9 - 29.2)

V = 56.4 * 3.8

V = 214.32

Amare is buying museum souvenirs. He buys 3 animal figures
and 6 bookmarks for $33. Later he goes back to buy 3 more
figures and return 3 of the bookmarks, spending another $6.
In the system, fis the price of a figure and b is the price
Al Pisto
of a bookmark.
3f + 6b = 33
3f-3b = 6
How much does each figure cost? How much does each bookmark cost?

Answers

Answer:

Each animal figure cost $2 dollars and each bookmark cost $4.50 dollars

Step-by-step explanation:

I got this answer is because second part of the question it says "Later he goes back to buy 3 more figures and return 3 of the bookmark spending another $6". The information this gives us is that since he bought nothing but animal figures and bought 3 animal figures and spent $6 dollars that tells us that each animal figure cost $2 dollar knowing this we can figure out the first part since in the first part he spent $33 dollars in total and bought 3 animal figures and 6 bookmarks and we know each animal figure cost $2 dollars we know in total he spent $6 dollar on animal figures and he spent $27 dollar on bookmarks doing division 27 divided by the number of bookmarks he bought we figure out the cost of one bookmark so doing this the answer is one animal figure is $2 dollars and one bookmark is $4.50.

I hope this help this is less of a math problem and more of a logic one this took me a while of rereading to figure out!

Give me a thanks.

What is one way you could use the positive feelings from a situation toward a future motivation?

Develop a positive personal process and focus
Remember the “How could I do better?” mentality
Tell the adults in your life to hold you accountable
Be content with not being successful at everything

Answers

Answer:

One way to use positive feelings from a situation towards future motivation is to focus on the positive aspects of the experience and try to replicate them in the future. For example, if you had a particularly enjoyable and successful project at work, you might try to identify the specific factors that contributed to your success and seek out similar opportunities in the future. This approach can help you to build on your strengths and experiences and maintain a positive and motivated outlook. Additionally, setting specific goals for yourself and tracking your progress can help to keep you motivated and on track towards future success.


Simplify
(12 – 3) + 15+5 (-2)

Answers

Answer:

14

Step-by-step explanation:

The multiplication must be done before the addition and subtraction.

(12 – 3) + 15+5 (-2)

becomes (9) + 15 + 5(-2), which in turn becomes

                 (9) + 15 - 10, or 14

             

help help help i’ll kiss u please

Answers

I Think its 563... Hope i helped!:D this app has alot of link scams so: mthway is a good help!:))

Answer:

500 cm2

Step-by-step explanation:

THIS ISNT MY WORK THIS IS THE WORK OF WALBER000

The dimensions of the prism are 7 cm, 9 cm and 20 cm.

So the three areas we want to find are three rectangles, with the sides:

7 cm and 20 cm, 9 cm and 20 cm, 9 cm and 20 cm

The area of each rectangle is:

rectangle_1 = 7 * 20 = 140 cm2

rectangle_2 = 9 * 20 = 180 cm2

rectangle_3 = 9 * 20 = 180 cm2

Summing all these three areas, we have:

Total area = 140 + 180 + 180 = 500 cm2

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Help me out with this question (geometry)

Answers

Answer:

m<8=m<4=105

m<4=180-(4x-1)

=180-4x+1

105 =-4x+181

4x= 181-105

4x=76

X=19

m<6=180-105

=75

y-31=75

y =75+31

y=106

X+y=19+106

=125

Is y 2x 3 in slope intercept form?

Answers

Answer:

y=2x+3

Step-by-step explanation:

y=mx+b

y=2x+3

Mary reached chool at 7:30 AM, and left for home at 12:45 PM. How long he tayed in the chool
Anwer with explanation

Answers

Answer:

5 hours and 15 minutes.

Step-by-step explanation:

7:30 - 8:00 is 30 minutes

8:00 - 12:00 is 4 hours

12:00 - 12:45 is 45 minutes

30 minutes plus 45 minutes is 1 hours and 15 minutes

4hours + 1 hour and 15 minutes is

5 hours and 15 minutes

or

5 1/4 hours

or

315 minutes.

I am not sure what form you want.

HURRY, GIVING BRAINLIEST

Answers

Answer:

8

Step-by-step explanation:

I attached an image below. Basically the symbols || means absolute value, meaning the distance between that number and 0. It will always be a positive number. Then, I solved the equation as normal using PEMDAS, multiplying first then going left to right, then I got 8.

Hope this helps !!

-Ketifa

Find the
equation of the circle with center at (3, -2) and radius of 3.

Answers

(x-3) *squared* + (y + 2) *squared* = 6


Can someone help me?

Answers

Answer:

+6 dollars

Step-by-step explanation:

Can someone please help me with math.

Answers

Answer:

5. B) 55

6. D) 15

Step-by-step explanation:

5.

One of the properties of a triangle is that the sum of angles in a triangle will always equal (180) degrees. One can apply this here, form an equation and solve for (x). Remember, a box around an angle indicates that the measure of the angle is (90) degrees.

90 + x + 35 = 180

Simplify,

125 + x = 180

Inverse operations,

x = 55

6.

This triangle is a right triangle, as mention earlier, a box around an angle indicates that the angle measure is (90) degrees. One of the criteria of a triangle to be considered a right triangle is that it must contain a (90) degree angle. One of the properties of a right triangle is that it follows the Pythagorean theorem, the Pythagorean theorem states the following,

[tex]a^2+b^2=c^2[/tex]

Where (a) and (b) are the legs or sides adjacent to the right triangle, and (c) is the hypotenuse or side opposite the right angle.

[tex](9)^2 +(12)^2 = (c)^2[/tex]

Simplify,

[tex]81+144=c^2\\\\225=c^2[/tex]

Inverse operations,

c = 15

Decrease #2000 by 20%

Answers

Answer:

400

Step-by-step explanation:

2000 divided by 20% is 400

7. You have $2 worth of quarters, dimes, and nickels
and you have 12 total coins. How many of each do you
have?

Answers

Answer:

6 quarters, 4 dimes, and 2 nickels

That would be 6 quarter, 4 dimes, and 2 nickels

whats the value of x? ill give brainliest

Answers

Answer:

150°

Step-by-step explanation:

180-30=150...............

Answer:

150º

Step-by-step explanation:

the value of q is 180º, so 180 - 30 = 150

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