The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 50, 60,72,... Find the 8th term.

Answers

Answer 1

Answer:

179.159

Step-by-step explanation:

Given the sequence :

50, 60, 72,..

The sequence given is a geometric sequence :

For a geometric sequence ;

ar^(n - 1)

a = first term

r = a2 / a1 = 60 / 50 = 1.2

The 8th term ; n =8

a8 = ar^(n - 1)

a8 = 50*1.2^(8 - 1)

a8 = 50*1.2^7

a8 = 50*3.5831808

a8 = 179.15904

a8 = 179.159 (nearest thousandth )


Related Questions

On a scale drawing 1cm represents 4 m.What length on the drawing would be used to represent 6.5 m

Answers

Answer:

1.6cm

Step-by-step explanation:

1cm=4m

      =6.5m

6.5÷4=1.625 round it off to the nearest tenths=1.6

Anyone can help ? I have no clue what the answer maybe

Answers

Since both the triangles are similar,

(y-2)/(y+4) = 4/8

8(y-2) = 4(y+4)

8y - 16 = 4y + 16

8y - 4y = 16 + 16

4y = 32

y = 32/4

y = 8


The perimeter of triangle PQR:
4 + 6 + (8-2)

= 10 + 6

= 16 ft.

Write an inequality to represent a number is at most two".​

Answers

Answer:

Step-by-step explanation:

X<= 2

Which is x is less than or equal to 2.

Answer:

[tex]n\leq 2[/tex]

Step-by-step explanation:

help me for brainlist

Answers

Answer:

72,000

Step-by-step explanation:

PLS HELP BRAINLIEST !!!! BE SERIOUS PLS

dont want to report anyone :((

Answers

I say the answer would be No because the triangles are not the same Width, length or height..

In 2011, a professional climber scaled the outside of the Burj Khalifa, making it all the way to 828 meters (the highest point on which a person can stand) in 6 hours.

Answers

Answer:

276 meters in the first 2 hours

Step-by-step explanation:

Given that,

Professional climbers climb 828 meters in 6 hours.

Let us assume we need to find how far did they climb in the first 2 hours.

6 hours = 828 m

⇒ 1 hour = 138 m

So, in 2 hours,

2 hours = 138 × 2 m

= 276 m

So, the climber climb 276 meters in the first 2 hours

7th grade and 30 points
i have to show work

Answers

Answer:

Step-by-step explanation:

amount of discount = $10

percentage discount = $10/$39.99 ≅ 0.25 = 25%

amount of sales tax = $1.95

sales tax rate = $1.95/$29.99 ≅ 0.065 = 6.5%

cost of jeans × 1.60 = $39.99

cost of jeans = $39.99/1.60 ≅ $24.99

discounted selling price = $29.99

markup = $29.99/$24.99 ≅ 1.20 = 20%

Help Plz!!
What system is Y = 2x + 1 and Y = -2x + 5?
A. Consistent system
B. Dependent system

Answers

Answer:

consistent

Step-by-step explanation:

plz help fast i have to find the surface area of a 3d shape

Answers

label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area. Hope this helps! plz mark brainliest if possible

Step-by-step explanation:

Amanda bought tickets for a concert for $218. Jamie bought tickets to the same concert but paid 14% less than Amanda. What were the price of Jamie's tickets?

Answers

Answer:

Jamie's tickets = $187.48

Step-by-step explanation:

The amount for which Amanda bought tickets = $218

Jamie bought tickets to the same concert but paid 14% less than Amanda.

Jamie's tickets = [tex]218-14\%\ of\ 218[/tex]

We can solve it as follows :

[tex]218-14\%\ of\ 218=218-\dfrac{14}{100}\times 218\\\\=218-30.52\\\\=\$187.48[/tex]

So, the price of Jamie's tickets is $187.48.

Can someone help me find the area

Answers

Answer:

84

Step-by-step explanation:

8x6=48

2x4=8

4x7=28

48+28+8=84

Which one is the correct answer please please.

Answers

Answer:

option 1

plz mark as brainiest

Step-by-step explanation:

Answer:

1/2 (option 1)

Step-by-step explanation:

the equation is in y=mx+b form (slope-intercept form)

y: y-axis

m: slope

x: variable

b: y-intercept

Leila bought lunch at school. She had a sandwich and a shake that cost her $8. Her shake cost
$3.75. Solve the equation 8 =s +3.75 to find the cost of Leila's sandwich, s.

Answers

Answer: I think that the sandwich is $4.25 (I'm not sure)

Answer:

s=4.25

Step-by-step explanation:

look at the screenshot for the steps! :)

How long does it need to keep $600 in an account that pays 2.75% annual simple interest to earn $264?

Answers

Answer:

16 years

Step-by-step explanation:

Principal amount (P) = $600

Rate of interest (R) = 2.75%

Simple interest (S.I.) = $264

Let t denotes time period.

[tex]S.I.=\frac{PRT}{100}[/tex]

[tex]264=\frac{600(2.75)t}{100} \\\\t=\frac{264(100)}{600(2.75)}[/tex]

[tex]t=16[/tex] years.  

Therefore,

interest of $264 will be earned in 16 years.

find the distance round to the nearest tenth (-8, -6) (-3,-2)​

Answers

Answer:

[tex]\displaystyle d \approx 6.4[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft 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 (-8, -6)

Point (-3, -2)

Step 2: 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+8)^2+(-2+6)^2}[/tex][√Radical] (Parenthesis) Add:                                                                        [tex]\displaystyle d = \sqrt{(5)^2+(4)^2}[/tex][√Radical] Evaluate exponents:                                                                    [tex]\displaystyle d = \sqrt{25+16}[/tex][√Radical] Add:                                                                                              [tex]\displaystyle d = \sqrt{41}[/tex][√Radical] Evaluate:                                                                                        [tex]\displaystyle d = 6.40312[/tex]Round:                                                                                                            [tex]\displaystyle d \approx 6.4[/tex]

Answer:

6.4

Step-by-step explanation:

d=√((−3−(−8))^2+(−2−(−6))^2)

d=√((5)^2+(4)^2)

d=√(25+16)

d=√(41)

d=6.403124

d=6.4

Two​ trains, Train A and Train​ B, weigh a total of 379 tons. Train A is heavier than Train B. The difference of their weights is 255 tons. What is the weight of each​ train?

Answers

Answer: A = 317

B = 61

Step-by-step explanation:

The following equation can be gotten from the question given. This will be:

A + B = 379 ........ i

A - B = 255 ........ ii

From equation i, make A the subject of the formula

A = 379 - B ...... iii

Put the value of A in iii into equation ii

A - B = 255

(379 - B) - B = 255

379 - B - B = 255

379 - 2B = 255

2B = 379-255

2B = 124

B = 124/2

B = 62 tons

Since A + B = 379

A + 62 = 379

A = 379 - 62

A = 317 tons

Tell whether the equation has one, zero, or infinitely many solutions.9(x − 3) + 15 = 9x − 11.

Answers

Answer:

Zero solutions; there are no variables and thus there are no solutions

Step-by-step explanation:

We start out with the equation 9 (x - 3) + 15 = 9x - 11

Which simplifies to 9x - 27 + 15 = 9x - 11

The 9x terms cancel each other out, and we're left with 15 - 27 = -11

And we end up with -12 = -11, which is not true.

This tells us that the equation has zero solutions, because no matter what value we substitute for x, the equation will not be true.

Answer:

No solution

Step-by-step explanation:

9(x-3)+15= 9x-11

9x-27+15=9x-11

-15 on both sides

9x-27=9x-26

add 26 on both sides

9x -1=9x

add 1 on both sides

9x=9x+1

divide 9 on both sides

x=x+1/9

No solution

Find C. Leave your answer in simplified radical form.

Answers

9514 1404 393

Answer:

  7√2

Step-by-step explanation:

The triangle is a "special triangle", an isosceles right triangle. The side lengths of this triangle have the ratios 1 : 1 : √2. Multiplying these ratio values by 7, the length of the leg, you find ...

  c = 7×√2

  c = 7√2

_____

If you like, you can go through the Pythagorean theorem and/or trigonometry to find the same thing.

  7/c = sin(45°)

  c = 7/sin(45°) = 7/(1/√2) = 7√2

Or ...

  c² = 7² + 7² = 98 . . . . using the Pythagorean theorem*

  c = √98 = 7√2

__

* This requires you recognize the triangle is isosceles, so the other leg is also 7. Of course, you know that as soon as you see a 45° acute angle in a right triangle.

Hi, could someone help me with these two questions please? Thank you!

Answers

7 is option C
8 is option A

I need help please help me

Answers

Answer:

8×3x - 8×y

Step-by-step explanation:

24x-8y this is the answer

One inch equals 2.54cm.A ribbon 100in.long is how many cmlong?​

Answers

Answer:

fesgqwa

Step-by-step explanation:

Answer:

254 cm

Step-by-step explanation:

multiply the 100 by the 2.54

A class used cars and vans to go on a field trip because all of the buses were already in use. They Used 10 vehicles to go on the trip. Each car holds 5 students and each van holds 13 students. If 82 students went on the trip, then how many of each type of vehicle did the class use?

Answers

Answer:

4 vans, 6 cars

Step-by-step explanation:

6 cars , 4 vans hope it helped

Will GIVE BRAINLIEST

A ganza is a percussion instrument used in samba music.

a. Find the surface area of each of the two labeled ganzas in terms of π , rounded to the nearest thousandths and as a decimal, round to the nearest whole number.

Surface area of smaller ganza =
π≈
cm2
Surface area of larger ganza =
π≈
cm2
b. The weight of the smaller ganza is 1.1 pounds. Assume that the surface area is proportional to the weight. What is the weight of the larger ganza to the nearest tenth of a pound?

The weight of the larger ganza is about
pounds.

Answers

Answer:

1036.2 sq. cm

Step-by-step explanation:

The surface area of the smaller ganza = 2πr2 + 2πrh

surface area = 2 x 3.14 x 3.5 x 3.5 + 2 x 3.14 x 3.5x 10

surface area = 76.93+ 219.8

surface area = 296.73 sq. cm

The surface area of the larger ganza  = 2πr2 + 2πrh

surface area = 2 x 3.14 x 5.5 x 5.5 + 2 x 3.14 x 5.5x 24.5

surface area = 189.97+846.23

surface area = 1036.2 sq. cm

a. The surface area of the smaller ganza is [tex]296.73cm^{2}[/tex]

    The surface area of the larger ganza is [tex]1036.2cm^{2}[/tex]

b. The weight of the larger ganza is [tex]3.84[/tex] pounds.

Surface area :

From given figure,

Radius of smaller ganza ,[tex]r_{1}=3.5/21.75cm[/tex]

height of smaller ganza, [tex]h_{1}=10cm[/tex]

a. The surface area of the smaller ganza is,

              [tex]S_{1}= 2 \pi r^{2} + 2\pi rh[/tex]

              [tex]S_{1}=2 * 3.14 * 3.5 * 3.5 + 2 * 3.14 * 3.5* 10\\\\S_{1}=76.93+ 219.8\\\\S_{1}=296.73cm^{2}[/tex]

The surface area of the larger ganza

               [tex]S_{2}= 2\pi r^{2} + 2\pi rh[/tex]

               [tex]S_{2}= 2 * 3.14 * 5.5 * 5.5 + 2 * 3.14 * 5.5* 24.5\\\\S_{2}= 189.97+846.23\\\\S_{2} = 1036.2 cm^{2}[/tex]

b. Since, the surface area is proportional to the weight.

and The weight of the smaller ganza is 1.1 pounds.

            [tex]\frac{1.1}{w}=\frac{296.73}{1036.2}\\ \\ w=\frac{1036.2*1.1}{296.73}\\ \\w=3.84[/tex]

Learn more about the surface area here:

https://brainly.com/question/16997207

What is the solution of the system of equations?
x + 3y= -4
3x + 9y = –12
A. (-1,-1)
B. no solution
C. infinely many solutions
D. (1,3)

Answers

The answer for your question is B. There is no way of solving this that would come out to a full answer of just a number.

Whats the answer to this i can't figure it out can someone help.

Answers

Answer:

D!

Step-by-step explanation:

TRUST ME :) SINCE IT'S A RIGHT ANGLE YOU DO 90 DEGREES MINUS THE NUMBER IT GIVES, 38 TO GET 52. THEN YOU DIVIDE 52 BY 2 BECAUSE THERE'S OLP AND NLO :))) you get 26 after that. I hope I helped!

help I will give brainiest it will mean alot. find the scale factor​

Answers

The scale factor is 4 . I assume both pictures are the same

Answer:

Step-by-step explanation:

16:1

A membership at a yoga studio costs $35 per month. Write an equation for the cost of the membership, c, that you pay if you keep your membership for m months How much will you membership cost if you keep it for 20 months​

Answers

The answer would be C + 20m
So basically the equation is c +20m. :3

Please help due in 5 minutes !

Answers

It’s 8:1 hope this help

what is the answer for this question ?:A set of multiples of 5 less than 30​

Answers

Answer:

A = {5,10,15,20,25}

Step-by-step explanation:

Someone please help me?

Answers

Answer:

Option 2 (open circle at 6 with arrow going to the right.

Step-by-step explanation:

Open circle means "excluding that number". Since x>6, x cannot be 6 so we have an open circle at 6. x>6 also means x has to be greater than 6, so we have the arrow going to the right since 7 is greater than 6, 8 is greater than 6, and so on so forth.

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