find the sum of the first 7 terms of the geometric sequence : 3,9,27,81,...

(with solution)

PA HELP POOO THANKSSSS

Answers

Answer 1

Answer:

3279

Step-by-step explanation:

The sum to n terms of a geometric sequence is

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

where a is the first term and r the common ratio

Here a = 2 and r = a₂ ÷ a₁ = 9 ÷ 3 = 3 , then

S₇ = [tex]\frac{3(3^7-1)}{3-1}[/tex] = [tex]\frac{3(2187-1)}{2}[/tex] = 1.5 × 2186 = 3279


Related Questions

Find the measures of angles x and y in the figure.

Answers

y = 90° (linear pair)

x = 180° - (50° + 90°) [Angle Sum Property]

x = 180° - 140°

x = 40°

=》 x = 40° & y = 90°

______

Hope it helps ⚜

y=90°

x=40°

Step-by-step explanation:

y=90 because its in a linear pairx= 40 because of angle-sum property (180-50-90=40)

92% of what number is 30?
Please answer quick!

Answers

Answer: 32.61

Step-by-step explanation:

92/100 × x = 30

x = 30 × 100/92

x = 32.61

There are two bowls. One of them has 60gems and the other has 40gems. Some of them are red. All the gems from the two bowls are now put into a third bowl. What fraction of the gems in the third bowl will be red?.

Answers

estimated 15 over 100

Triangle RAD is reflected over the x-axis to form triangleR'A'D' (not shown). Then triangle R'A'D'is

translated to form triangle R" A"D"(not shown). Point A" is shown plotted on the xy-plane after the second

transformation. Determine the coordinates of D"?

OD" (7,2)

O D" (9,-10)

OD" (4,-2)

OD" (7-10).

Answers

Answer:

(7,-10)

Very educated guess

Find the slope given two points: (-9, -2) and (-5,0)

Answers

Answer:

1/7

Step-by-step explanation:

Consider the line passing through these two points.  The increase in x (run) from the first to the second is 14; the increase in y (rise) is 2.

Thus the slope of this line is m = rise/run = 2/14, or m = 1/7

Answer:

[tex]m = \frac{1}{2}[/tex]

Step-by-step explanation:

To find the slope using two given sets of coordinates, the following function can be used:

[tex]m = \frac{y2-y1}{x2 - x1}[/tex]

Where x1,y1 are one set of coordinates and x2,y2 are the other set:

[tex]m = \frac{0 - (-2)}{-5 - (-9)}\\[/tex]

[tex]m = \frac{0 + 2}{-5 + 9}[/tex]

[tex]m = \frac{2}{4}[/tex]

This can be simplified down to:

[tex]m = \frac{1}{2}[/tex]

Hope this helps!

Please help me solve this problem asap!

Answers

Dilation and rotation.

will give brainliest

Answers

Answer:

y=-2x+9

Step-by-step explanation:

You can eliminate one by one. Since it needs to go downward, it is negative, so B and C are eliminated. y=-5x+11 will have a completely different course, so it is y=-2x+9

f – 4 ≤ 9 for f. solve for the

Answers

Answer:

f>36

Step-by-step explanation:

9

<

f

4

Multiply both sides by

4

.

9

4

<

f

4

4

Simplify.

Tap for more steps...

36

<

f

Rewrite so

f

is on the left side of the inequality.

f

>

36

The result can be shown in multiple forms.

Inequality Form:

f

>

36

Interval Notation:

(

36

,

)

Answer:

f={∞,13)

Step-by-step explanation:

f - 4 ≤ 9

f - 4-9  ≤ 0

f-13 ≤0

f=13

13- 4 ≤ 9

9 ≤ 9  

(f>13) f-4 ≤9

   Find a number less than 13

f=12

12-4 ≤9

8≤9 √  

(f<13) f-4 ≤9

   Find a number greater than 13

14

14-4 ≤9

10 ≤9 ×

What’s the answer, pls help me

Answers

Answer:

lower left

Step-by-step explanation:

v+3<=6.5

v<=3.5

-18 is less than 3.5

Step-by-step explanation:

It can't be the first one because [tex]v=-18[/tex] and were saying [tex]-v[/tex] and to negatives make a positive so our equation is

[tex]18+3[/tex] ≤[tex]-6.5[/tex] which is incorrect

The one below the first one is incorrect

It's correct since our equation is

[tex]-18+3\leq 6.5[/tex] which is correct

The top right one is correct because our equation is

[tex]18+3\leq 6.5[/tex] which is incorrect

The one below that is correct because our equation is

[tex]-18+3\geq 6.5[/tex] which is incorrect

The area of the regular hexagon is 169. 74 ft2. A regular hexagon has an apothem with length 7 feet and an area of 169. 74 feet squared. What is the perimeter, rounded to the nearest tenth? 24. 2 ft 28. 3 ft 48. 5 ft 56. 8 ft.

Answers

The perimeter of the hexagon is the sum of its side lengths

The perimeter of the hexagon is 48.5 ft

The given parameters are:

[tex]\mathbf{Area = 169.74}[/tex] --- the area of the hexagon

[tex]\mathbf{a = 7}[/tex] -- the apothem

Let the perimeter of the hexagon be p.

So, the area is calculated as:

[tex]\mathbf{Area = \frac 12 pa}[/tex]

Substitute values for Area and (a)

[tex]\mathbf{169.74 = \frac 12 \times p \times 7}[/tex]

Multiply both sides by 2

[tex]\mathbf{339.48= p \times 7}[/tex]

Divide both sides by 7

[tex]\mathbf{48.5= p }[/tex]

Rewrite as:

[tex]\mathbf{p = 48.5}[/tex]

Hence, the perimeter of the hexagon is 48.5 ft

Read more about perimeter and areas at:

https://brainly.com/question/1969956

Two ice cream machines make a total of 320 gallons in a certain amount of time. working together for the same length of time how many gallons of ice-cream can each number of machines make?
(a) 7 ice-cream machines

Answers

Answer:

7 ice cream machines can make 1,120 gallons of ice cream

Step-by-step explanation:

Divide 320 by 2

multiply 160 by 7

you should get 1,120

7 ice-cream machines makes 1120 gallons of ice-cream.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, two ice cream machines make a total of 320 gallons in a certain amount of time.

Here, quantity of ice cream made by 1 machine =320/2

= 160 gallons

Now, 7 ice-cream machines makes

160×7= 1120 gallons

Therefore, 7 ice-cream machines makes 1120 gallons of ice-cream.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ2

Find the perimeter. Simplify the answer.

Answers

Answer:

4u

Step-by-step explanation:

add up all the sides: u+u+u+u=4u

there are 5 crayons 4 pencils and 6 erasers. what is the number of crayons to total school supplies

Answers

Answer:

5 crayons to 15 school supplies

Step-by-step explanation:

since its supplies in general, add 5 crayons, 4 pencils, and 6 erasers to get 15 total

PARALLEL PERPENDICULAR OR NEITHER OR SAME LINE

Answers

Answer:

Parallel

Step-by-step explanation:

So if they have the same slope but different y-intercepts, it would be parallel because the slope stays the same so the line doesnt change, just the starting point

For example use the following equations

y = x + 2  

y = x + 3  

In the graph, these equations are parallel

What is the total volume of both storage spaces if one side of the large storage space is 4 feet long?

Answers

The total volume of both storage is 76 ft³

What is Volume of cube?

The number of cubic units that a cube totally occupies is determined by its volume. The cubic unit of measurement for the volume of a cube includes centimetres³, metres³, inches,³ feet³, etc.

A solid three-dimensional shape with six square faces or sides is known as a cube. The total amount of space a cube takes up is its volume. The cube's square form means that all of its sides are square, and as a result, all of its edges will be of equal length. As a result, the cube's length, breadth, and height are all equal.

The formula to compute the volume of cube is a³; where 'a' is the edge of the cube.

Given:

Larger box volume = s³

smaller box volume = 12 ft³

Now, the edge of larger box = 4

So, volume of larger box

= 4 x 4 x 4

= 64 ft³

Hence, the total volume is = 64 +12 = 76 ft³

Learn more about volume of cube here:

https://brainly.com/question/11168779

#SPJ2

find the equation of a line perpendicular to y=x-3 that contains the point (2,1)

Answers

Answer:

y = -x + 3

Step-by-step explanation:

y = x - 3   This equation has a slope of 1

A line that would be perpendicular to the above line would then need a slope of -1

If the line has a slope of -1 and passes through (2, 1) then we can plug into

y = mx + b to get the 'b' value

1 = (-1)(2) + b

1 = -2 + b

3 = b

Equation would be y = -x + 3

Factor the expression
n^2-15n+56​

Answers

Answer:

(n-8)(n-7) this is the answer I hope it helped you

Answer:

(x - 7)(x - 8)

Step-by-step explanation:

Factor this into the form:

(x +/- a)(x +/- b)

As the third term is a positive and the second is negative, we know that the two operators are subtract:

(x - a)(x - b)

Find the factors of 56:

1 56

2 28

4 14

7 8

The two factors we need will add up to 15, so this is 7 and 8. This means the factor form is:

(x - 7)(x - 8)

Hope this helps!

mike deposited a sum of rs 64000 in a post office for 4 years, compound annually at 4% per annum. What amount will he get on maturity

Answers

Answer:

79507

Step-by-step explanation:

because 64000(1+15/200)^3= 79507

Viviana sells handmade necklaces for $12.50 and bracelets for $10.50. On Tuesday,
she sold 24 pieces of jewelry and made $288. How many of each type of jewelry did
she sell?
x= Necklaces
y= Bracelets

Answers

Answer:

brainlest = answer

Step-by-step explanation:

the base of a triangle is five less than twice it’s height, if the area of the triangle is 6 cm^2, find the length of the base

Answers

Answer:

Base = 3 cm

Step-by-step explanation:

Area of a triangle =  [tex]\frac{1}{2} bh[/tex]

Let h = height

base =  2 times the height - 5; b = 2h-5

Area = 6 cm²

 A = [tex]\frac{1}{2}bh[/tex]

[tex]6 =\frac{1}{2}(2h - 5)(h)[/tex]             Multiply 2h(h) -5(h)

[tex]6 (2) = 2(\frac{1}{2})(2h^{2} - 5h[/tex]      Multiply both sides by 2 to remove the fraction

 12 = 2h²- 5h

2h ² -  5h  - 12 = 0                Set the equation = 0 and factor  

(2h + 3)(h - 4) = 0

2h + 3 = 0    or h - 4 = 0

2h = -3               h = 4

h = -3/2        or   h = 4        Answer can not be negative so h = 4cm

The base is 2(4) - 5; The base = 8 - 5; base = 3 cm

On this number line, zero represents sea level. Plot the following points based on the description provided by dragging and dropping the dots to the appropriate locations on the number line.
1.5 above sea level
absolute value of −4.5 −2 opposite of 4 absolute value of 1 2.5 below sea level greatest common factor of 8 and 12 −(−3) −3.5 Opposite of −5



I will give you brainleist and 50 plus points

Answers

Answer:

why didn't nobody answer this its so many points

Step-by-step explanation:

3.5 + 5 + 4 + 8.5 = 21

How can the careers or hobbies of your family members help you earn
scholarship awards?

Answers

The careers or hobbies of my family members can help me earn scholarship awards as some employers and associations offer scholarships to participants and family members.

That is, certain hobbies, skills or careers that members of my family have may involve them in certain jobs or groups that, in turn, offer the possibility of accessing scholarships and other benefits.

Thus, social and labor groups always tend to expand the opportunities of those who participate in them, as well as those of their closest people.

Learn more in https://brainly.com/question/9958317

A, B, C and D are four towns. B is 30 kilometres due east of A. C is due 30 kilometres north of A. D is due 45 kilometres due south of B. Calculate the bearing of D from B

ONLY ANSWER QUESTION B PLEASE
Giving lots of points
I will give brainlist
NO FRAUDS

Answers

Answer:

213.7°

Step-by-step explanation:

The bearing of B from D is angle ADB,  Thus, ∠ADB = arctan(30/45) ≈ 33.7°

The bearing of D from B is that angle plus 180°, Thus, 180° +33.7° = 213.7°

-----------------------------------------------------------------------------------------------------------

Part A: 135

Part B: 213.7  

------------------------------------------------------------------------------------------------------------

[RevyBreeze]

MATE!

213.7°

The bearing of B from D is angle ADB,  Thus, ∠ADB = arctan(30/45) ≈ 33.7°

The bearing of D from B is that angle plus 180°, Thus, 180° +33.7° = 213.7°

Part A: 135

Part B: 213.7  

What are the sums for both of those?

Answers

I don’t think I can help you with this but good luck! And I hope you have an amazing day! :)

Item 3 Solve. 7 2/5=2/3x−4 1/2 Enter your answer as a mixed number in simplest form in the box.

Answers

7 2/5 = 2/3x - 4 1/2

Add 4 1/2

11 9/10 = 2/3x

Multiply by 3/2

17 17/20 = x

The simplified form of the expression 7 ²/₅ = (2/3) x - 4 ¹/₂ for the value of x is 357/20 or 17.85.

What is an algebraic expression?

An algebraic expression is consists of variables, numbers with various mathematical operations,

The given expression is,

7 ²/₅ = (2/3) x - 4 ¹/₂

Simplify the expression,

37/5 = (2/3)x - 9/2

37/5 + 9/2 = (2/3)x

(74 + 45) / 10 = (2/3)x

119 / 10 = (2/3)x

357/20 = x

x = 357 / 20

x = 17.85

The simplest form for the value of x, of the given expression, is 357 / 20.

To know more about Algebraic expression on:

https://brainly.com/question/19245500

#SPJ2

Question 12 Objective: Given an acute angle of a right triangle, label the hypotenuse, opposite, and adjacent sides. What side is opposite to angle R? What side is adjacent to angle R? R S​

Answers

Answer:

Opposite: Line SQ

Adjacent: Line SR

Hypotenuse: Line RQ

Step-by-step explanation:

what is the answer to 11/12-7/9=

Answers

0.13888888888 is tour answer

Judy is trying to stack books on a shelf that is 20 inches tall. If each book is 4/5 inches thick, how many
books can she stack on the shelf?

Answers

49 because she can stack more ty

What is the missing angle ?

Answers

The whole angle is a right angle which is 90 degrees so 90-37 equals 53 which is the missing angle

Priya bought these items at the grocery store. Find each unit price.



4 rolls of toilet paper for $2. How much is the cost per roll?

Answers

Answer:

1 roll of toilet paper would cost $50

Step-by-step explanation:

Other Questions
What is the disappearance of a wave into a medium.A. SignalB. AmplitudeC. AbsorptionD. Transmission In general, a _______ intake manifold produces high torque at _______ engine rpm because of the increased amount of time between the air pulses due to the inertia of the long column of air. ,Kung ikaw si pangulong Rodrigo duterte ano ang GAGAWIN mo para matulungan Ang mga mamamayan na nasalanta Ang mga bahay at kabuhayan ng dahil sa bagyo?paano mo SILA matulungan na maibangon at mapaunlad muli Ang pamumuhay at ekonomiya nila?kailangan lng po talaga ng ans.ang crush ko OMG HELP RNOn a typical night at a restaurant, the patio lights use 202.64 kilowatt-hours of electricity and the courtyard lights use h kilowatt-hours of electricity.Which of the following expressions represents the total number of kilowatt-hours of electricity the patio and courtyard lights use? A. 202.64 - h B. 202.64 h C. 202.64 h D. 202.64 + h what as 9 squared? i need this Diane changes the size of an image with the format picture pane and keeps the original ratio of height to width of the object. What has Diane done to the image?chose D. she scaled, got 100% Mastication is performed by which of the following accessory digestive organs? he length of a rectangle is increasing at a rate of 7cm/s7cm/s and its width is increasing at a rate of 2cm/s2cm/s. When the length is 30cm30cm and the width is 20cm,20cm, how fast is the area of the rectangle increasing Devon's father is installing new wood flooring. He bought boards that are 10 ft long, 3/4 in. thick, and 11/24 in. wide. Determine the number of boards Devon's father will need for a 10 ft by 16 1/2 ft room. Plz plz help and the way to solve it plz!!! If the economy is experiencing an inflationary gap, the Fed should conduct ______ monetary policy to ______ aggregate demand. According to the critical analysis, why do the animals of Manor Farm revolt? when heat is added or subtracted from an object its temperature _____________ or _____________SUBJECT : SCIENCE What is Part 1 and Part 2? I think I have these correct. 100 if u get this right! A grandfather is ten times older than his granddaughter. He is also 54 years older thanher. How old is each of them? Help me out please !!!! Compare the amplitude of these waves. I need help with this! Please asap A breakfast cereal producer makes its most popular product by combining just raisins and flakes in each box of cereal. The amounts of flakes in the boxes of this cereal are normally distributed with a mean of 370\,\text{g}370g370, start text, g, end text and a standard deviation of 24\,\text{g}24g24, start text, g, end text. The amounts of raisins are also normally distributed with a mean of 170\,\text{g}170g170, start text, g, end text and a standard deviation of 7\,\text{g}7g7, start text, g, end text.Let T=T=T, equals the total amount of product in a randomly selected box, and assume that the amounts of flakes and raisins are independent of each other.Find the probability that the total amount of product is less than 575\,\text{g}575g575, start text, g, end text.You may round your answer to two decimal places.P(T PlzzzzzzzzzHelp Will give brainlessness