What is the COMMON RATIO of the geometric sequence: 3024, 504, 84,
14, ...*
2

Answers

Answer 1

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

To find the common ratio of a geometric sequence, we  can divide one of the terms by the one before it

[tex]r = \frac{u_n}{u_{n-1}}[/tex]

Let's try to apply that to the sequence in the question prompt:

[tex]r = \frac{504}{3024}\\\\r = \frac{1}{6}[/tex]

The common ratio must be the same all throughout the sequence, so we can try this with two other values from the sequence just to be sure

[tex]r = \frac{84}{504}\\\\r = \frac{1}{6}[/tex]

Now we can be sure that the common ratio of this geometric sequence is [tex]\frac{1}{6}[/tex]

Note: [tex]r[/tex] is usually used to denote the common ratio

Good luck!


Related Questions

which of these angles is NOT congruent to angle 5? if you are good with angle stuff answer more of my questions

Answers

Answer:

The 1,3 line?

Step-by-step explanation:

The angle that is not congruent to angle 5 is angle 6

The angles that are congruent to angles 5 are corresponding to angle 5, the vertical angles of angle 5 and the opposite exterior angles of angle 5.

These angles are:

Angle 1, angle 8, and angle 4

Other angles are not congruent to angle 5

Hence, the angle that is not congruent to angle 5 is angle 6

Read more about parallel line and transversal at:

https://brainly.com/question/24607467

A road starts at sea level and climbs steadily, reaching an elevation of 2000 feet after 8 miles l, as shown in the diagram

Answers

I believe the answer is 1500

The area of a rectangle is 54x y9 3 6x y4 yards, 8 square yards. If the length of the rectangle is which expression represents the width of the rectangle in yards?

Answers

Answer:

[tex]b=9x^6y^4[/tex]

Step-by-step explanation:

Area of a rectangle, [tex]A=54x^9y^8[/tex]

Let us assume, the length of the rectangle, [tex]l=6x^3y^4[/tex]

We need to find the expression for the width of the rectangle.

The formula for the area of a rectangle is given by :

[tex]A=lb[/tex]

b is width

Put the values of A and l in the above formula and solve for b.

[tex]b=\dfrac{A}{l}\\\\b=\dfrac{54x^9y^8}{6x^3y^4}\\\\=9x^{9-3}y^{8-4}\\\\=9x^6y^4[/tex]

So, the width of the rectangle is [tex]9x^6y^4[/tex].

in scientific
notation
(3.46% 10%) + (3.2 x 106)

Answers

Answer:

339.26

Step-by-step explanation:

413 ÷ 19
ive try so hard to solve this
note: theres a remainder

Answers

Answer:

21.7

Step-by-step explanation:

hope this helps!!!

the answer is 21.7!!!!!!!!!

need help help me guys,​

Answers

Hello!

[tex]\large\boxed{x + 2}[/tex]

[tex]\frac{2x^{2} +x}{2x-2} + \frac{x-4}{2x-2}[/tex]

The denominators are equal, so we can simply combine the numerator:

[tex]\frac{2x^{2} +x+ x - 4}{2x-2}[/tex]

Combine like terms in the numerator:

[tex]\frac{2x^{2} +2x - 4}{2x-2}[/tex]

Factor out 2 from the entire fraction:

[tex]\frac{2(x^{2} +x - 2)}{2(x-1)}[/tex]

Cancel out 2 from both the numerator and denominator:

[tex]\frac{x^{2} +x - 2}{x-1}[/tex]

Factor the numerator to simplify further:

[tex]\frac{(x + 2)(x - 1)}{x-1}[/tex]

Cancel out x - 1:

[tex]x + 2[/tex]

If you can do this then pls do it correctly my report card is coming on Friday I want good grades :))

Answers

54 divided by 5 is 10.8 which is her height multiply by 2 because it twice her height which is 21.6 the do 54-21.6 which gives you an answer of 32.4

Answer:

32.4

Step-by-step explanation:

So if we divide 54 by 5 we get 10.8   ( her height

then we multiply 2 by her height which is   10.8 and that will give us 21.6 .

the last step is subtracting, So we get Sharon's height which is 54 and subtract that by 21.6 and that will gives us 32.4! :D

( 5) + ( 1 ) = (5)(1)

6 7 (6)(7)

Answers

Answer:

57

Step-by-step explanation:

I don't know that Ise ay but I think it's 57 haha if it's not after i'm sorry

Tamika ran 120 meters in 21.6 seconds. Enrique ran 120 meters in 22.4
seconds. Who had the fastest time, Tamika or Enrique?
O A. Tamika
OB. Enrique
SUBMIT

Answers

Tamika ran the fastest time at 21.6 seconds in 120 meters because the faster you run the less time you have on your timer.

At a bakery, two workers earn the same amount of money in one afternoon, working the same number of hours. Rheehan is a manager and makes $16 an hour. He also receives $4 in tips. John makes $11 an hour and receives $29 in tips. How many hours did each worker work at the bakery that afternoon?​

Answers

Answer:

5 hours

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Property

Step-by-step explanation:

Step 1: Set up Equations

h is the amount of hours. Both workers make the same amount of money (l).

Rheehan:   l = 16h + 4

John:   l = 11h + 29

16h + 4 = 11h + 29

Step 2: Solve for h

Subtract 11h on both sides:                    5h + 4 = 29Subtract 4 on both sides:                       5h = 25Divide 5 on both sides:                          h = 5

Which absolute value inequality has −7 and 4 as two of its solutions?

A. |x| − 3 30
D. |−7x| ≥ 49

Answers

Answer:

|x|-3 30

Step-by-step explanation:

|x|-3 30

|-7x|>=49

in |7x|>=49,

28>=49

which doesn't work

Hope this helps!

Let f be defined as shown. What is f^-1(-4)?

Answers

Answer:

maybe -4/f if your just evaluating

Step-by-step explanation:

Answer:

It's 9

Step-by-step explanation:

I just got it right.

A.christy saved $3 per week more than Kevin
B. Kevin saved $10 per week more than christy
C.christy saved $18 per week more than Kevin
D. Kevin saved $20 per week more than christy

Answers

Answer:

Option (A)

Step-by-step explanation:

From the table attached,

Savings of Kevin in 2 weeks = 92 - 46 = $46

Therefore, per week savings of Kevin = [tex]\frac{46}{2}[/tex] = $23

Since, y = 26x represents the amount saved by Christy.

x = Number of weeks

y = Amount saved

For x = 1 week

Amount saved by Christy in one week = $26

Difference in amounts saved by Christy and Kevin = 26 - 23 = $3

Therefore, Christy saved $3 per week more than Kevin.

Option (A) will be the correct option.

how do i solve this
(-15b - 7) - (-2b)

Answers

Answer:

13b + 7

Step-by-step explanation:

Combine like terms. (-15b - 7) - (-2b), add -15b to both sides, the equation then becomes (-7) - (13b). Swap the equation around to become (13b) - (-7), a subtraction sign and then a negative makes the negative a positive. The equation then becomes 13b + 7.

What is -5(2x + y - 4)

Answers

Answer: [tex]-10x-5y+20[/tex]

Step-by-step explanation:

Multiply each term in the parenthesis by -5:

[tex]-10x-5y+20[/tex]

[tex]-5*2x-5y-5*(-4)[/tex]

Calculate the Product:

[tex]-5*2x-5y-5*(-4)[/tex]

[tex]-10x-5y-5*(-4)[/tex]

Solution:

[tex]-10x-5y+20[/tex]

Please mark brainliest if this helped you :)

Please help me out with this one! I need step by step instructions (30 points!)

Answers

Answer:

WAT DO U MEAN 30 POINTS UR ONLY GIVING 5

Step-by-step explanation:

ITS LITTERALLY RIGHT NEXT TO IT

If in 2003 a girl was 6 years of age then what year is it , now that she is 22?

Answers

If she was 6 in 2003, that means she was born in 1997. That means when she is 22, the year is 2019.

Question 2
Create an angle adjacent to ZBAC using point A as its vertex and AB as one of its sides. Set the measure of the new angle equal to mZBAC
from question 1. Extend a ray from point A beyond BC. Label the intersection of the ray and BC as point D. Paste a screenshot of your work
below.

Answers

Answer:

Step-by-step explanion

PLATO answer

Answer:

Plato and Edmentum sample answer

There is also question 3 in case you can't find it

Like and Rate! Brainly!

SOMEONE PLEASE HELP WITH THIS KHAN ACADEMY QUESTION ONLY DO IT IF YK WHAT U DOING DONT GUESS

Answers

Answer:

A. 32.5

Step-by-step explanation:

1st, HELLO! Sorry I took a while to answer. You are probably already done but...

You need to find the distance for each line segment. So, since AB is flat, we know it is equal to 4. If you form a triangle on BC, the legs would be 8 and 5. So, 8^2+5^2=89=c^2 so c=sqrt89 or about 9.4. Now, CD has legs of 4, so (4^2)*2=32=c^2. C~5.656~5.7. DE has legs of 8 and 5 so 8^2+5^2=64+25=89. Sqrt89 is about 9.4. EA is 4. So, combine them all and you get

4+9.4+5.7+9.4+4=32.5

:)

i need help with geometry

Answers

Answer:

C. SAS

Step-by-step explanation:

We already have the two pairs of sides that we know are congruent, but we also know that angles NTP and QTM are congruent because they are on opposite sides of the same intersection (I call them bowtie angles if that helps to understand). These two pairs of sides and the angles between them show that the triangles are congruent because of SAS (Side-Angle-Side Theorem).

Hope this helps :)

simplify: 11(4u + 6)

Answers

Answer:

44u+66

Step-by-step explanation:

11(4u+6)=44u+66

The drama club is printing t-shirts for its members. The printing company charges $6.50
per shirt plus a setup fee of $40.
2. Which of the following are solutions for this problem? Hint: There are TWO correct
answers.
t = 25 C = 202.50
Ot= 35 C = 205
O t = 50 C = 365

Answers

Given:

Setup fee = $40

Additional charges = $6.50 per t-shirt

To find:

The solutions for this problem.

Solution:

Let C be the total cost for t t-shirt.

Additional cost of 1 t-shirt = $6.50

Additional cost of t t-shirt = $6.50t

Setup fee = $40

Then, Total cost = setup fee + Additional charges

[tex]C=40+6.50t[/tex]

For t=25,

[tex]C=40+6.50(25)[/tex]

[tex]C=40+162.5[/tex]

[tex]C=202.5[/tex]

So, t = 25, C = 202.50 is a solution.

Similarly,

For t=35,

[tex]C=40+6.50(35)[/tex]

[tex]C=40+227.5[/tex]

[tex]C=267.5\neq 205[/tex]

So, t = 35, C = 205 is not a solution.

For t=50,

[tex]C=40+6.50(50)[/tex]

[tex]C=40+325[/tex]

[tex]C=365[/tex]

So, t = 50, C = 365 is a solution.

Therefore, the correct options are A and C.

please answer right.

Answers

Answer:

C) 8x-4

Step-by-step explanation:

Ultimately you want the two problems to be equal.  It is not 6x because if you distribute 3 in this case, you will get 18x so it is 8x, it is also not -12 because it will be -36 as a result, so your answer is 8x-4.

Use the coordinates J(7, 8), K(1, 2) and L(5, 2) for △JKL.

The centroid for △JKL is at point M. What is JM rounded to the nearest tenth?
Group of answer choices

4.3

4.8

7.2

2.4

Answers

Answer:

The answer is the second option 4.8

Step-by-step explanation:

I just did the test.

The distance between the point JM will be; 4.81 units.

What is the centroid of the triangle?

The centroid of a planar figure or firm figure, also known as the point of intersection or center of the figure, is the mean absolute position of all of the other points on the subject's surface.

The centroid of the triangle is given by;

(x, y) = [(x₁ + x₂ + x₃) / 3, (y₁ + y₂ + y₃) / 3]

Given that the coordinates J(7, 8), K(1, 2) and L(5, 2) for △JKL. Then the centroid for △JKL is at point M is given;

(x, y) = [(7 + 1 + 5) / 3, (8 + 2 + 2) / 3]

(x, y) = (13/3, 12/3)

(x, y) = (13/3, 4)

Therefore, the distance between the point JM is calculated as given;

D² = (13/3 - 7)² + (4 - 8)²

D² = 7.1111 + 16

D² = 23.11

D = √23.11

D = 4.81 units

The distance between the point JM will be; 4.81 units.

More about the centroid of the triangle link is given below.

brainly.com/question/10708357

#SPJ2

What percent of 90 is 45?

Answers

Answer:50%Hope this helps!!

Answer:

Hi, I'm getting confused as what you're trying to imply here. But I'll assume that it's 90% of 45. In this case.

Step-by-step explanation:

90% * 45 = 40.5

Therefore: 40.5 (final answer)

Cheers! :)

pls help i need a good grade in english !!

Answers

Answer:

Recursive formula → [tex]a_n=-9n+19[/tex]

Step-by-step explanation:

Recursive formula given for the sequence is,

[tex]a_1=10[/tex] and [tex]a_n=a_{n-1}-9[/tex]

Therefore, sequence will be,

10, 1, -8, -17........

Explicit formula for an arithmetic sequence is,

[tex]a_n=a_1+(n-1)d[/tex]

Here, n = number of term

d = common difference

Therefore, recursive formula will be,

[tex]a_n=10+(n-1)(-9)[/tex]

    = 10 - 9n + 9

    = 19 - 9n

[tex]a_n=-9n+19[/tex]

Look at this formula showing the relationship between temperature degrees Celsius and temperature in degrees Fahrenheit C = 5/9 * (P - 32) Which of these equations represents the given formula written in terms of H = 9/5 * (C + 32) H = 9/5 * (C - 32) P = 9/5 * C + 32 F = 9/5 * C = 32

Answers

Answer:

The equation which represents the given formula written in terms of P is  

P = 9/5 * C + 32

Step-by-step explanation:

Seems the question is: Which of these equations represents the given formula written in terms of P. If so, we will make P the subject of the given formula.

C = 5/9 * (P - 32)

This can be written as

[tex]C = \frac{5}{9} \times (P-32)[/tex]

Multiplying both sides by 9, we get

[tex]9 \times C = 9 \times \frac{5}{9} \times (P-32)[/tex]

[tex]9C = 5 \times (P - 32)\\[/tex]

Now, divide both sides by 5, we get

[tex]\frac{9C}{5} = \frac{5 \times (P - 32)}{5}[/tex]

This gives

[tex]\frac{9}{5} \times C = P - 32[/tex]

Now, Add 32 to both sides of the equation

[tex]\frac{9}{5} \times C + 32 = P - 32 + 32[/tex]

This becomes

[tex]\frac{9}{5} \times C + 32 = P[/tex]

Hence

[tex]P = \frac{9}{5} \times C + 32[/tex]

That is,  P = 9/5 * C + 32

Hence, the equation which represents the given formula written in terms of P is  P = 9/5 * C + 32.

Find the answer of 400% of 90

Answers

Answer:

360 I think

Step-by-step explanation:

Answer:

360

Step-by-step explanation:

(400 x 90)/100

After 2 hours, Ernie had travelled 192 miles. If he travels at a constant speed, how far will he have travelled after 5 hours?

Answers

Answer:

the answer is "480"

Step-by-step explanation:

so 192 divided by 2 hours is 96 so thats 96 miles per hour then I simply do 96 x 5 hours

Answer: 480

Step-by-step explanation:

Since we know that after two hours Ernie travelled 192 miles, we need to find the miles for one hour. We can find this by dividing the miles by the number of hours travelled so far. 192/2 = 96. We now know that Ernie travels 96 miles an hour. In order to calculate it for 5 hours, we need to times the 96 by 5. 96 * 5 = 480. Ernie travelled 480 miles in 5 hours.

1. Arianna is standing at the bottom of a hill at the zoo. The angle of
elevation from her to the top of the hill is 17 degrees. If the hill is 50 feet
tall, how long is the walkway up the hill?

Answers

Given that,

The angle of  elevation from her to the top of the hill is 17 degrees.

The hill is 50 feet tall.

To find,

The length of the walkway.

Solution,

h = 50 feet

Let the length of the walkway up the hill is x m. It is the hypotenuse of the right angle triangle. Using trigonometry as follows :

[tex]\sin\theta=\dfrac{50}{x}\\\\x=\dfrac{50}{\sin(17)}\\\\=171.01\ \text{feet}[/tex]

Hence, the walkway up the hill is 171.01 feet.

Other Questions
5.2 cm 5.2 cm 12cm Greatest common factor of 50,50 Eric has 14 1/2 yard of fabric. He makes several napkins, using 1/2 yard of fabric for each. He then makes 6 placemats, using 7/8 yard of fabric for each. Eric has 1/4 yard of fabric left. How many napkins has he made? PLS SHOW WORK IF U CAN Which geologic change would occur on the surface at a divergent plate boundary along a mid-ocean ridge? Listen and choose the correct image that matches the audio.listen to audioGroup of answer choicesBoy and girl doing dishesWoman in wheelchair sweeping a living roomTwo ladies with several food ingredients on a table, getting ready to fix a mealWoman and girl sprinkling colored sugar on some cookies Selected account balances for the year ended December 31 are provided below for B-Fun Company: Selling and administrative salaries . . . . . . . . . . . . . . . . . .$110,000 Purchases of raw materials . . . . . . . . . . . . . . . . . . . . . . . .$290,000 Direct labor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ? Advertising expense . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . $80,000 Manufacturing overhead . . . . . . . . . . . . . . . . . . . . . . . . . .$270,000 Sales Commissions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . $50,000Inventory balances at the beginning and end of the year were as follows: Beginning of the Year End of the YearRaw materials . . . . . . . . . . . . . . . . . . . . . $40,000 $10,000Work in process . . . . . . . . . . . . . . . . . . . ? $35,000Finished goods . . . . . . . . . . . . . . . . . . . . $50,000 ?The total manufacturing costs for the year were $683,000; the goods available for sale totaled $740,000; and the cost of goods sold totaled $660,000. Assume that in the following year the company expects to produce 50,000 units and manufacturing overhead is fixed. What average cost per unit and total cost would you expect to be incurred for direct materials? Answer my screen shot plz IM STILL NOT OUT ITS ANNOYING P.S. NO QUESTION Which of the following is a dependent clause?at the mallshopping at the mallafter they went shopping at the mallDel and Kay ate lunch after they went shopping at the mall In the early 20th century muckrackers were able to inflict Americans how The group I element are very active.Why? Simplify:(4x + 8)/2 The greater the mass of an object (a) the easier the object starts moving(b) the more balanced it is(c) the greater its inertia.(d) the more space it takes up Zinc metal reacts with hydrochloric acid to produce zinc chloride and hydrogen gas as seen in the chemical equations below:Zn(s) + 2HCl(aq) === ZnCl2(aq) + H2(g)What type of equation is described above?F. Double ReplacementG. Single ReplacementH. DecompositionJ. Synthesis How does climate change effect biodiversity If the monthly income of the IBM employees follows a SYMMETRICAL NORMAL distribution, with a median of $5000 and a standard deviation of $200. What would be the mean monthly income? * 2 x=-80 can u solve this A helium balloon is tied to a top-pan balance. A metal block of mass 100 g is placed on the balance. The reading on the balance is 91 g. Which statement can be deduced from this experiment? In the figure below, quadrilateral PQRV and quadrilateral RSTU are divided into two congruent halves by line PT, and PQ RQ and RS TS.Note: picture not drawn to scale If mA. 126B. 72C. 54D. 108 In a speech, voice and tone are the same thing.True or false