What is the sum of the first 10 terms of the geometric series 2 + 6 + 18 + 54 + 162 + ...?

Answers

Answer 1

2 + 6 + 18 + 54 + ...

 This is a geometric sum and there is a way to find the sum of however many terms as you would like.

 The initial term is S1 = 2, the ratio of successive terms is r = 3.

 The sum for a geometric sequence of the first n terms is given by

 Sn = S1(1 - rn)/(1 - r)

Apply this formula for n = 10.


Related Questions

angel 1 and angel 2 form a right angle. Writ a conjecture about each value or geometric relationship

Answers

Answer:

it's angle not angel.

Step-by-step explanation:

what decimal is equivalent to 4/100 + 5/10

Answers

Answer: 0.54

Step-by-step explanation:

im not sure if your talking about turining the fraction into a decimal but this is how it would look as a decimal.

Please help me ASAP!! And please don’t just answer randomly for points..thanks

Answers

Answer:

46

Step-by-step explanation:

3x3=9

5x7=35

9+35=46

Answer:

44 inches

Step-by-step explanation:

Cut off the pertruding bit of the shape

3inches × 3 inches = 9 inches

5 inches × 7 inches = 35 inches

9 inches + 35 inches = 44 inches

After solving a series of mathematical problems using a complicated formula, Mark uses the same formula to solve another problem he could have solved using a much simpler formula. Mark's continued reliance on the complicated formula BEST illustrates:

Answers

Answer:

C. mental set

Step-by-step explanation:

A mental set generally refers to the brain's tendency to stick with the most familiar solution to a problem and stubbornly ignore alternatives. This tendency is likely driven by previous knowledge (the long-term mental set) or is a temporary by-product of procedural learning (the short-term mental set).

is this correct? if not what is the correct answer?

Answers

6 soaps comparing to the other 5 = 30 different comparisons:

30 x 2,000 = 60,000

Answer: H. $60,000

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!7

Answers

Answer:

The answer is B final answer becuase its all positive.

A line includes the points (8,6) and (6, 10). What is its equation in point-slope form?​

Answers

Answer:

-2

Step-by-step explanation:

-4/2

or -2

yeah- ya. right?

The answer is going to be -2.

Johnny ate seven apples, his bus comes around 3 in the morning, the neighbors dog took a dump on the ground weighing 2.67 kilograms. Whats the mass of the sun??​

Answers

Answer:

mass if the sun is 123

Step-by-step explanation:

I saw the dog take a dump

2.3/2.4 representing slope in proportional relationships

Answers

Answer:

Ok

Step-by-step explanation:

Ok

Which of the following represent the same level of precision? Check all that
apply.
A. 90 liters
B. 5.9 liters
C. 13.6 liters
D. 94 liters

Answers

Answer:

I got C&B

Reasoning: just did this test, however the answer might be different for anyone else.

5.9liters and 13.6 liters, and  90 liters and 94 liters represents the same level of precision.

What is precision?

Precision is a number that shows an amount of the information digits and it expresses the value of the number.

Same level of precision refers to degree of significant figures or how many numbers after the decimals.

According to the given question, we have to find the numbers which represent same level of precision.

From the given options,

5.9 liters and 13.6 liters have the same level of precision because there is only one number after the decimal.

And, 90 and 94 have the same level of  precision (no decimal).

Learn more about precision here:

https://brainly.com/question/15276983

#SPJ2

a restaurant bill is $53.15. what is the estimated total cost of the bill with a

15% tip?


not a multi choice you enter a answer !

Answers

Answer: the answer is 7.95 because 15% tip on 53.15 is 7.95

hi! I need help ! Triangles geometry angles table.

Answers

Answer:  

145°

Step-by-step explanation:  

[Finding the non-label angled in the triangle] 180° - 75° = 105°

 

Finding 3: (x = angle 3)  

[Sum of a triangle's angles] 105° + 40° + x (angle 3) = 180  

[combine like terms] 145° + x = 180°  

[subtracting 145 from both sides] 35° = x  

   () We can test that this is correct by adding 40 and 35 together, to get angle 1 as it is an exterior angle

Finding 4: (x = angle 4)  

180 - 35 = 145°

Have a nice day!  

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)  

- Heather

m-(-584)=866 simplified

Answers

Answer:

282 thats what i got

Step-by-step explanation:

Answer:

m = 282

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

m + 584 = 866

Step 2: Subtract 584 from both sides.

m + 584 (−584) = 866 (−584)

m = 282

PLA HELP PLS PLS PLA

Answers

Answer:

y=3x-1

Step-by-step explanation:

I solved it by using graph paper so if you start out at (2,4), and go down 3 and left 1 you would end up at (-1,3)

Can you please help I’ll give you points I need help if I can’t pass this I can’t play in my basketball game Sunday

Answers

Answer:

  m∠X = 70°

Step-by-step explanation:

In congruent triangles, corresponding parts have the same measures. In ΔABC and ΔXYZ, the corresponding parts are ...

  ∠A = ∠X = 70° . . . . . . . . . . . matches choice A

  ∠B = ∠Y = (90° -70°) = 20°

  ∠C = ∠Z = 90°

  AB = XY = √(3.5² +9.6²) ≈ 10.22 cm

  BC = YZ = 9.6 cm

  AC = XZ = 3.5 cm

Answer:

 m∠X = 70°

Step-by-step explanation:

In congruent triangles, corresponding parts have the same measures. In ΔABC and ΔXYZ, the corresponding parts are ...

 ∠A = ∠X = 70° . . . . . . . . . . . matches choice A

 ∠B = ∠Y = (90° -70°) = 20°

 ∠C = ∠Z = 90°

 AB = XY = √(3.5² +9.6²) ≈ 10.22 cm

 BC = YZ = 9.6 cm

 AC = XZ = 3.5 cm

6m in the ratio 7:3:5

Answers

Step-by-step explanation:

which one of the 3 categories represent the 6m ?

the 7 ? the 3 ? or the 5 ?

I suspect it is the 3 (the middle), because it is the only one working with 6 using only integer numbers.

you really have to be more careful about putting all relevant information here for a question.

so,

in general, we see that a "whole" set of distance types has 7 + 3 + 5 = 15 parts (in our case equally long distance segments).

the length of the first type (whatever it is) is 7 parts of the whole 15 parts. = 7/15

the length of the second type is 3 parts of the whole 15 parts (and we suspect this type to be 6m). = 3/15

and the length of the third type is 5 parts of the whole 15 parts. = 5/15

since we now know (or rather assume) that 6m = 3 parts, we can then calculate that 1 part of the 15 is 6/3=2m.

aha !

so then 7 parts are 2×7 = 14m.

and 5 parts are 2×5 = 10m

I guess that's what you needed to find, right ?

just to practice : what would it be, if 6m stands for the 7 ?

we still have the 15 parts of the whole.

but now 7 parts stand for 6m.

1 part is then 6/7m.

3 parts would then be 3×6/7 = 18/7m

5 parts would be 5×6/7 = 30/7m

you see now, why I think the 6m were meant for the 3 part category ?

SOMEONE HELP ASAPPPPPPPPP PLS WILL MAKE BRAINLEST

Answers

The answer is SAS, since two sides and one angle of one triangle is congruent to the another triangle.

i need help finding the product but i have to simplify. it., -w(-2w^2-3w+1)​

Answers

Answer:

I have simplified it to −

2 ^ 3 − 3 ^2 +  

Step-by-step explanation:

Answer:

[tex] \large\color{green}{ \tt{2w³ +3w² −w}}[/tex]

Step by Step Solution:

Use the distributive property to multiply – w by – 2x – 3w + 1.

[tex] \large\color{green}{ \tt{−2(−w)w² −3(−w)w−}}[/tex]

Multiply −2 and −1 to get 2.

[tex] \large\color{green}{ \tt{2ww² − 3(− w)w − w}}[/tex]

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

[tex] \large\color{green}{ \tt{2w³ − 3(−w)w − w}}[/tex]

Multiply −3 and −1 to get 3.

[tex] \large\color{green}{ \tt{2w³ + 3ww − w}}[/tex]

Multiply w and w to get w².

[tex] \large\color{green}{ \tt{2w³ + 3w² - w}}[/tex]

Hope It's Help

Which method is best used to solve -2/3c=16

Answers

Answer:

-24

Step-by-step explanation:

-2/3c = 16

c = 16 : -2/3

c = 16 . 3/-2

c = 8 . 3/-1

c = 8 . -3

c = -24

Answer:

-24

Step-by-step explanation:

-2/3c = 16

c = 16 * 3/-2

c = -8 * 3

c = -24

a cube has a side length of x^5 cm express the volume of the cube as a power to a power

Answers

Answer:

V = x^15

Step-by-step explanation:

(x^5)^3 = x^15

I lowered the points because people were stealing them.

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Domain ~

[tex] - 6 \leqslant x \leqslant - 1[/tex]

Range ~

[tex] - 5 \leqslant x \leqslant - 3[/tex]

Domain and range are correct in the other answer. Slope is -2/5 (negative two fifths), and y-intercept is not applicable because the line segment does not cross the y axis, however if you need an answer the line would keep going and would cross the y axis at 5.4 or 27/5 (not sure which form you need)

the perimeter of a school volleyball courts 177 feet and the length is twice the breath what are the denominations of the volleyball court​

Answers

Answer: L = 59 feet, W = 29.5 feet

Step-by-step explanation:

Let P be the perimeter, L the length, and W the breath [breadth?] of the volleyball court.  We'll assume it is rectangular.

We know that the P of the rectangle is 2L+2W:  

 P = 2L+2W

We also are told that:

 L = 2W

We can use this definition of L in the forst equation:

P = 2L+2W

P = 2*(2W)+2W

P = 6W

P = 177 feet

Therefore 177 ft = 6W, and

W = 29.5 feet

The total for the length is 177 - 2W, or (177 - 59) ft

2L = (177 - 59)

2L = 118

L = 59 feet

What is the slope of this graph? m=[slope)
100
80
60
Number of cups
40
20
16
20
8 12
Sugar (pounds)

Answers

Answer:

Step-by-step explanation:

If the ratio of two numbers is 8 : 1, the smaller number is what fractional ... 20. 80 m to 16 m. 21. 75 g to 100 g. 22. 36 cm to 72 cm. 23. 54 g to 90 g there you go hope it helps

Please help with this question and if you can explain because I’m confused. - thank you

Answers

y = 32, x = 43

To figure this out, you have to use what you know to find all sorts of measures.

Lets start with the 75 degree angle. We know that the opposite side is a vertical angle, so that is also equal to 75 degrees. Since the angle to the big triangle is a supplementary angle, we know that the sum of 75 degrees and that angle is 180 degrees. Do the math and we get 180 - 75, or 105 degrees. The angles of a triangle always add up to 180, so 105 + 43 + y = 180. Solve for y: [tex]148+y=180=148-148+y=180-148=y=32[/tex]. So y is equal to 32 degrees. Now to find x, we know that the bases of the triangles are parallel, and that there is a line that goes straight from angle y to one of our unknown angles. Because the triangle bases are parallel and the y to unknown line does not change, we can tell that those are the same. So y = unknown angle 1, or 32 = 32. So, we know the measure of one angle. The other unknown angle is vertical to the other angle we found earlier, 105. So, we get 105 + 32 + x = 180. Evaluate: [tex]32+105+x=180=137+x=180=137-137+x=180-137=x=43[/tex]. So x is equal to 43.

(04.01 LC)

The equations y = −3x + 1 and y = 2x − 4 are shown in the graph.

graph of y equals 2 times x minus 4 and y equals negative 3 times x plus 1

Which is the solution to the system of equations? (1 point)

Group of answer choices

(−2, −1)

(−2, 1)

(−1, −2)

(1, −2)

Answers

Answer:

(1, −2)

Step-by-step explanation:

−3x + 1 = 2x − 4

−5x + 1 = − 4........subtract 2x from both sides

-5x = -5.................subtract 4 from both sides

x  = 1.......................divide both sides by - 5

now that you have x value find y by plugging in the x value in either one of the equations (I'll be using y = -3 +1)

y = -3(1)+1

y = -3+1.............multiply

y = -2................add

Find the 13th term of the arithmetic sequence – 3x – 5, 4x – 12, 11. – 19,.

Answers

Answer:

13 = 81 x - 89

Step-by-step explanation:

Answer:

81x-79

Step-by-step explanation:

I'm going to assume that the last expression is 11x-19 instead of 11.-19. First things first, we find a pattern in this arithmetic sequence. We can see that each expression adds 7x-7 to get the next term. We then can create a formula for this. Since the first expression is -3x-5, and it repeadetly adds 7x-7, we can get (-3x-5)+(7x-7). But we're not done here yet.

We can notice that the first term doesn't add any 7x-7 to it. The second term adds 1 of the (7x-7)'s, and the third term adds 2. The relationship between the term number and the number of (7x-7)'s added to -3x-5 always subtracts one. I'm going to add t as #term to show that t-1 is the number of (7x-7)'s that are added to (-3x+5)So, we can add a (t-1) to this expression to get (-3x+5)+(7x-7)* (t-1). Now that we have the formula, we insert 13 as t into the equation and simplify.

=(-3x+5)+(7x-7)*12

=(-3x+5)+84x-84

=81x-79

Note that this is just my way of solving these types of things, but an alternative way is to keep adding 7x-7 to the sequence until you get to the 13th expression. That works too. Hope this helps! Good luck! (I'm not really sure if this answer is correct, but please let me know if it is wrong)

Did I get this right originally? I think I did.

Answers

Yes you did great job

that’s what I thought first, but the things right. each x value IS associated with only one y value. If there was more than one arrow pointing from one x value, it wouldn’t be a function, because it would mean one x value has more than one y value. I hope that made sense!

F) A wall in a house is currently 12 feet long and a contractor wants to add 108 inches to the wall. How long will the
extended wall be in yards?

(A) 5yards

(B) 7yards

(C) 8yards

(D) 10yards

(E) 17yards

Answers

B 108 = 3 12=4 since the technical answer is 7 yards

What is the Slope of the equation y = x - 2

Question 4 options:

1


-2


2


0

Answers

Answer:

1

Step-by-step explanation:

Answer:

The slope for the equations y = x - 2 is answer A - 1

Step-by-step explanation:

Graph attached Below

Hope I helped,

Brainliest is always appreciated.

I'll mark u as brainliest pls help with these 2 questions ​

Answers

Answer:

3, 10

Step-by-step explanation:

1.

5x-1=14 ->

5x=15 ->

x=3.

2.

15+3x=45 ->

3x=45-15=30 ->

3x=30 ->

x=10.

Hope that help! :)

Answer:

1.) x=3

2.)x=10

Step-by-step explanation:

for the first problem you would add 1 to both sides, and you would get 5x=15, then you would divide both sides by by 5 to get x by itself. 5x/5=x and 15/5=3, so x=3. you can also plug it in. 5(3)-1=14

for the second one you wpuld subtract 15 from both sides, and you would get 3x=30. divide both sides by 3 which is x=10. plug it in, 15+3(10)=45.

Other Questions
please help !! find the measure of 1 and 2. justify your answers Rewrite 2/9+5/12 with a common denominator. please help me in questions 19, 21, 24 and ill mark u as brainliest i promise what was the edict of nantes issued in an effort to do most elements are (1) metals (2)nonmetals (3)gases (4)made in labs How much wax is needed to make one spherical candle? aufbau principlewhat is the meaning of the principle Write money amounts using a leading zero if necessary & with 2 decimal places (For example: 0.80 or 0.72 or 1.23)630 miles in 10 hoursmiles per hourdonut hole per kid24 donut holes for 8 kids$$3.50 for 5 lbs. of apples$32 for a 14 2/9 km taxi ride.per poundper km$ Solve the problem below by finding a common denominator.5/6+1/8 describe fully the single transformation that maps triangle A onto triangle B. Taaolsbi unscrambled Competition is to be expected in capitalist economies.TrueFalse What might scientists learn about the evolution of human behavior from studying cognitive behavior in animals? how do you write the names and formulas for ionic compounds with polyatomics What is the 4 MAJORELEMENTS OF A TORTWhat is 4 major elements of a tortWhat is the 4 major elements of a tort Hey does anyone mind translating this for me I cant really read in Spanish please and thank you! Solve for X:6(4X - 6) + 5 = 8X + 4X - 28 + 12X + 5 - 8 What is the average rate of change of the function f(x)=4x^2+3x on the interval [1,5] True or False: Attention must be given to the long-term effects of hazardous materials on the environment. Deer are herbivores. What effects do you think a high deer population would have on Wesselman Woods?