the 6 term of a G.P is -2\27 and it's first term is 18.what is the common ratio​

Answers

Answer 1

Answer:

r = - [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

The n th term of a GP is

[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 18 and a₆ = - [tex]\frac{2}{27}[/tex] , then

18 [tex]r^{5}[/tex] = - [tex]\frac{2}{27}[/tex] ( divide both sides by 18 )

[tex]r^{5}[/tex] = - [tex]\frac{1}{243}[/tex] ( take the fifth root of both sides )

r = [tex]\sqrt[5]{-\frac{1}{243} }[/tex] = - [tex]\frac{1}{3}[/tex]


Related Questions

The coordinates of the vertices of a polygon are A(-2,1), B(-2,4), C(0,7), D(2,4), and E(2,1). What is the
perimeter of the polygon?
a. Graph the polygon
b.
Find the length of AB.
C.
Find the length of BC.
d. Find the length of CD.
e. Find the length of DE.
f.
Find the length of AE.
g.
Find the perimeter. Round your answer to the nearest tenth.

Answers

Answer:

b

Step-by-step explanation:

I am posting this so people can get points so just answer it for point idrk haha

Answers

Answer:

thank youuuu

Step-by-step explanation:

you are so nice

brainliest pls

Answer:

tyyyy

Step-by-step explanation:

solving slope with work tho please

Answers

Answer:

First is 5/2

second is 1

Answer:

1. A. slope = 5/2

2. A. slope = 1

Step-by-step explanation:

To find the slope you can input the x and y values of two points into this expression: [tex]\frac{y2 -y1}{x2 - x1}[/tex]

1. To find the slope, I'm going to use points (2, 3) and (4, 8). Let's input them into the expression:

[tex]\frac{8-3}{4-2}[/tex]

Simplify:

8 - 3 = 5

4 - 2 = 2

The slope is 5/2.

2. To find the slope, I'm going to use points (0, 0) and (1, 1). Let's input them into the expression:

[tex]\frac{1-0}{1-0}[/tex]

Simplify:

1 - 0 = 1

1 - 0 = 1

The slope is 1/1, or just 1.


The value of y is directly proportional to the value of x.If y when x = 40, what is the value of y when x = 140?

Answers

Answer:y=14

Step-by-step explanation:

CAN SOMEONE ANSWER THIS QUICK!

Answers

You can’t see the questions try taking the picture directly over the book

what was the significancHeather has an international cell phone plan.


The number of texts she sent in September can be represented by x.


She pays $30 per month plus $0.05 per text.


Her bill for September was $60.

What is x, the number of texts Heather sent during the month of September?

Answers

Answer: x = 500

Step-by-step explanation:

1. You turn it into 30 + 0.05x = 60

2. Subtract 30 from both sides to get 0.05x = 30

3. Then divide 30 by 0.05 and get 600

4. Write down x = 600

please and thank you

Answers

Answer:

(1) x=5    (2) [tex]8\sqrt{3}[/tex]    (3) [tex]4\sqrt{3}[/tex]  (4) x=30

Step-by-step explanation:

What is the slope of a line perpendicular?

y=-3/4x +3

Answers

4/3
Remember if two lines are perpendicular, the product of their slopes are -1

Answer:

4/3        equation however is y = 4/3x + 3 (the plus three can be changed to anything

Step-by-step explanation:

Lemme just tell you this:

If you are looking for the equation of a completely perpendicular line,

just find the COMPLETE OPPOSITE of the current slope. -3/4x would be 4/3 because it is the opposite in terms of positive or negativeness and the way the numbers are arranged. Change the sign, flip the number, and you are good to go.

The function g(x)=2x^2+16x+31 is at a minimum when x=-4. True or False?

Answers

Answer:

The answer is true.

Step-by-step explanation:

If h(x)=2(x^2+5)+10, what is the value of p(13)

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]h(x) = 2( {x}^{2} + 5) + 10 [/tex]

[tex]h(x) = 2 {x}^{2} + 10 + 10[/tex]

[tex]h(x) = 2 {x}^{2} + 20[/tex]

_________________________________

[tex]h(13) = 2 \times ({13})^{2} + 20[/tex]

[tex]h(13) =( 2 \times 169 )+ 20[/tex]

[tex]h(13 )= 338 + 20[/tex]

[tex]h(13) = 358[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

The sum of two numbers is 22 and the sum of their squares is 250. Find the following information numbers

Answers

Answer:

REEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE100016784994

Step-by-step explanation:

REEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

**

Which of the following could be the equation
of the graph shown to the left?


a. y+5=-12x-3
b. y+5=-12x+3
c. y-5=-12x-3
d. y-5=-12(x+3)

Answers

Answer:

b

Step-by-step explanation:

b should be the answer

Charlotte wants to know which website has more user engagement per a single dollar expense.

Answers

Answer:

Part 1:

Total number of comments divided by the expenses

Total number of likes divided by the expenses.

Part 2:

Yes. According to both definitions, website A has more user engagement per a single dollar expense.

Step-by-step explanation:

User Engagment: Likes and comments

Website A:

500 comments/$20,000= .025

3500 likes/$20,000= .175

Website B:

450 comments/$47,000= .0095

3500 likes/$47,000= .07

Website A has more user engagement per a single dollar expense.

Answer:

Top Answer Worked for me

Step-by-step explanation:

A group of friends receives a dinner bill for $87.50. The sales tax rate is 5%. They want to leave a 15% tip on the total bill after tax. How much money will they pay for their dinner with tax and tip?

Answers

Answer:

105 total

Step-by-step explanation:

Answer:

$105.66 is your answer.

The table and graph both represent the same relationship.
Which equation also represents that relationship?

Answers

Answer:

x = 1

Step-by-step explanation:

From the table shown in the picture,

For input value x = 1, output values of y = 2, 4, 6, 8, 10

Similarly, from the graph shown,

For input value x = 1, output values of y = 2, 4, 6, 8, 10

Therefore, both will represent the same relationship.

From the graph attached, straight line parallel to y-axis is x = 1.

Therefore, x = 1 will be the correct option.

Help please and thanks

Answers

Answer:

No, it is not function. The answer is the last option in the multiple choice sequence.

Step-by-step explanation:

Please can someone help me?? I’ll give brainliest to the correct answer!!

Which situation does NOT show causation?

A) When the student population at a school increases, the number of teachers at the school increases

B) when the amount of sugar in a quart of apple juice is reduced, there are fewer calories in each serving

C) When there are more workers on a project, the project is completed in less time.

D) When there is more protein in an athlete’s diet, the athlete scores more points in a game.

Answers

Answer: D

Step-by-step explanation:

Find the distance between the two points M(-4,-1) and Z (3, 3).

Answers

Answer:

d = 8.062258

Step-by-step explanation:

d=√ (3−(−4))2+(3−(−1))^2

d=√ (7)^2+(4)^2

d=√ 49+16

d=√ 65

d=8.062258

WILL GIVE BRAINLIEST TO CORRECT ANSWER(S)!

Part A: What is the value of the correlation coefficient?

A: 0.42
B: -0.65
C: 0.65
D: ± 1.00
E: -0.42

Part B: How strong is the relationship between the two data sets?

A: Very strong
B: Moderately strong
C: No strength
D: perfect
E: weak

Part C: Choose the function that best represents the data.

A: f(x)=-0.65x+260.08
B: f(x)=260.08x-3.66
C: f(x)=0.41x+260.08
D: f(x)=-3.66x+260.08
E: f(x)=3.66x+260.08

Part D: If the trend stays the same, how much should Gracie expect to pay for her energy bill when the mean temperature for the next month is forecasted to be 10°F?

A: $296.08
B: $2,597.18
C: $223.48
D: $253.58
E: $264.18

Answers

Answer:

A and E are the answers

a distributor wants to make 1000 pounds of trail mix that is 8% raisins. He will use a mix that is 5% raisins and a mix that is 20% raisins. How many pounds of each should he use?

Answers

Answer:

200 pounds 20% raisins

800 pounds 5% raisins

Step-by-step explanation:

Let number of 5% be x

and number of 20% be y

x + y = 1000

Also;

5% of x + 20-% of y = 8% of 1000 pounds

= 0.05x + 0.2y = 80

From i , x = 1000-y

0.05(1000-y) + 0.2y = 80

50-0.05y + 0.2y = 80

0.15y = 30

y = 200

x = 1000 - y

= 1000-200 = 800

He will use 800 pounds for a mix that is 5% raisins and 200 pounds for a mix that is 20% raisins.

Given that,

A distributor wants to make 1000 pounds of trail mix that is 8% raisins.

He will use a mix that is 5% raisins and a mix that is 20% raisins.

We have to determine,

How many pounds of each should he use.

According to the question,

Let number of 5% raisins be x,

And number of 20% raisins be y.

Then,

He will use a mix that is 5% raisins + A mix that is 20% raisins = Distributor trail mix.

[tex]x + y = 1000[/tex]

And,

He will use a mix that is 5% raisins of x + and a mix that is 20% raisins of y =  1000 pounds of trail mix that is 8% raisins.

5% of x + 20% of y = 1000 of 8% raisins

[tex]0.05 x+ 0.20y = 80[/tex]

On solving both the equation,

[tex]x + y =1000\\\\x = 1000-y[/tex]

Substitute the value of x in the equation 2,

[tex]0.05 (1000-y) + 0.20y = 80\\\\0.05 \times 1000 - 0.05y + 0.20y = 80\\\\50 + 0.15y = 80\\\\0.15y = 80-50 \\\\0.15y = 30\\\\y = \dfrac{30}{0.15}\\\\y = 200[/tex]

Substitute the value of y in the equation 1,

[tex]x + y = 1000\\\\x + 200 = 1000\\\\x = 1000-200\\\\x = 800[/tex]

He will use x = 800 pounds a mix that is 5% raisins and y = 200 pounds for a mix that is 20% raisins.

Hence, He will use 800 pounds for a mix that is 5% raisins and 200 pounds for a mix that is 20% raisins.

To know more about Equations click the link given below.

https://brainly.com/question/18916524

Pedro answered 10 math problems in 4 minutes. Which ratio accurately compares math problems to minutes?

Answers

Answer:

can't see the answers but I think it's 2.5

A sandwich shop has 4 different types of sandwiches: ham (H), turkey (T),
chicken (C), or PB&J (P). And each sandwich can be ordered with white bread (w),
multi-grain bread (M), or rye bread (R).

Answers

Answer:

1111111234567890-0987654321`1q2wert6y7890p[poiuytrewqqwertyui

Step-by-step explanation:

qwertyuiopoiuytrewqwertyuio

Helen is typing a report and is using two different sizes of fonts, as shown below. What is the ratio of the height of a letter typed using font I to the height of a letter typed using font II?
2/9
1/3
3
9
WILL RECIEVE BRAINLIST

Answers

Tff coo I FTC con got a CFC fav. Tvtttttv gggt

Answer: 2/9

Step-by-step explanation:

A cereal box says that now it contains 20% more. Originally, it came with 18.5 ounces of cereal. How much more cereal is in the box now?

Answers

Answer:

3.7 oz more of cereal

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Kelvin bought a package of 1000 Jolly Ranchers. The package contains 5 flavors. 25% of the candies are red and pink. The remaining are green, purple, and blue.


Select all the statements that are true.



75% of the candies are green, purple, and blue.

The package does not contain an equal percentage of each color candy.

Kelvin has 250 red and pink candies.

The number of red and pink candies are the same as green, purple, and blue candies.
Kelvin has 700 green, purple, and blue candies.

Answers

Answer:

The package does not contain an equal percentage of candy

75% of the candies are green purple and blue

This was fun lol.

Hope this helped :)

A company that teaches self-improvement seminars is holding one of its seminars in Belmont. The company pays a flat fee of $250 to rent a facility in which to hold each session. Additionally, for every attendee who registers, the company must spend $4 to purchase books and supplies. Each attendee will pay $14 for the seminar. Once a certain number of attendee register, the company will be breaking even. How many attendees will that take?

Answers

Answer:

Step-by-step explanation:

250 for place  4 for books each.

If they charge 14 per person, 4 of that goes for the books and 10 will be applied to the rental fee.

250/10= 25 people to break even. Any people beyond that  is a profit of 10.00 since the other 4 will still go to the books.

Two of the angles of a triangle measure 50° and 80°. Classify the triangle.
Equilateral
А
Isosceles
В
Scalene

Answers

Answer:

B) Scalene

because if in an isosceles triangle,2 angles are the same while equilateral have 3 angles the same

Your friend claims the measure of an exterior angle will always be greater than the sum of the nonadjacent interior angles measures. Is your friend correct> Explain your reasonings. ​

Answers

Answer:

your friend is wrong

Step-by-step explanation:

There is a theorem in geometry called the Exterior Angle Theorem which was developed by Euclid (Greek mathematician that lived in Alexandria around 300 B.C.) that states that the exterior angle of a triangle will always equal the sum of the 2 nonadjacent interior angles.

If you look at the attached image, °d = °a + °c

Jordan and Ellen recycle cans. Jordan recycles 7 cans for every 12 cans Ellen recycles. Last week, Jordan recycles 42 cans.



What number, c, can be multiplied by 12 to determine the number of cans Ellen recycled last week?

Answers

Answer:

are there multiple choices?

Step-by-step explanation:

I think the answer is 6 .

The tree diagram below shows all of the possible outcomes for flipping three coins.

A tree diagram has outcomes (H, H, H), (H, H, T), (H, T, H), (H, T, T), (T, H, H), (T, H, T), (T, T, H), (T, T, T).

What is the probability of one of the coins landing on tails and two of them landing on heads?
One-fourth
StartFraction 3 over 8 EndFraction
One-half
Three-fourths

Answers

Answer:   3/8, I had got it correct on Edge 2020 :)

Answer:

the correct answer is A

Step-by-step explanation:

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