Write the explicit formula for the sequence. 27,18,12,8

Answers

Answer 1

Answer:

a(n) = 27*(2/3)^(n - 1)

Step-by-step explanation:

The first four terms are 27, 18, 12, 8.

Find the common ratio:

To do this, let that ratio = r, and write and solve 27r = 18.  Thus, r = 2/3.

The general explicit formula for this sequence is

a(n) = a(1)*(2/3)^(n - 1), or, since a(1) = 27, a(n) = 27*(2/3)^(n - 1)


Related Questions

111 is 15% of what number

Answers

Answer:

16.65

Step-by-step explanation:

15 percent of 111 is the same as 15 per hundred of 111. We can therefore make the following equation:

15/100 = X/111

To solve the equation above for X, you first switch the sides to get the X on the left side, then you multiply each side by 111, and then finally divide the numerator by the denominator on the right side to get the answer. Here is the work to illustrate:

15/100 = X/111

X/111 = 15/100

X*111/111 = 15*111/100

X = 1665/100

X = 16.65

or

The work above shows the long way to explain how to calculate 15 percent of 111 in order to give you a foundation and better understanding of how to calculate percentage. In the future, you could use this simplified formula:

(Y * P)/100

In our problem "What is 15 percent of 111?", Y is 111 and P is 15:

(111 * 15)/100 = 16.65

And once again you see that the answer is 16.65.

Answer:

740

Step-by-step explanation:

If we substitute "what number" in the question "111 is 15 percent of what number?" with 740, we get this sentence: 111 is 15 percent of 740. Since this statement is true, we know that our answer is correct.

Following shows the steps on how to derive this formula

Step 1: If 15% of a number is 111, then what is 100% of that number? Setup the equation.

111          Y

------  =   -------

15         100%

Step 2: Solve for Y

Using cross multiplication of two fractions, we get

15Y = 111 x 100

15Y = 11100

Y = 11100

100 = 740

Formula = Number x 100     111 x 100

                 --------------------- = ------------  = 740

                   Percent              15

Hope this helps

please help me out. is it A B C D?​

Answers

The answer is: B sorry if I’m wrong

Can anyone help me with these 3 questions having trouble understanding

Answers

Answer:

1. up

Step-by-step explanation:

iyi dersler Good by

iyi dersler

Alexandra missed 52 questions on her multiple choice science final and earned a
grade of 74%. How many total questions were on the final exam?

Answers

Answer:

Step-by-step explanation:

100-74-26

26%->52

100%->52÷26×100

             = 200

At the end of a year, the gross debt of a country stood at about $17 trillion. Express this amount
dollars per person, assuming that the population of the country is about 303 million
The gross debt is about $ per person
(Type a whole number. Round to the nearest hundred as needed.

Answers

56,105.61 is the answer rounded to the nearest hundred

Answer:

Your answer

56100 per person

Mark it as Brainlist answer. Follow me to get more answer

Step-by-step explanation:

What is 4•(5+3)=4•8=

Answers

Answer:

32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

I hope this helps, and have a great day! :)

What is the area of the rectangle in the coordinate plane?

Answers

Answer:

70 square units

Step-by-step explanation:

14 x 5 = 70 square units

Hope that helps!

30. Which reason justifies the statement below?


A. Definition of Congruence
B. Angle Addition Postulate
C. Supplement Theorem
D. Definition of Vertical Angles

Answers

D definition of vertical angless
Yw

The correct reason for the statement ∠1 ≅ ∠2 will be;

⇒ Definition of Vertical Angles.

Option D is true.

What is Vertical angles?

When the two lines are crosses to each other at a point then the vertical angles are formed.

Given that;

∠1 and ∠2 are formed between two lines which crosses at a point.

Now,

The two lines are vertical lines which passes through a point and ∠1 and ∠2 are formed between them.

So, By definition of Vertical Angles;

∠1 ≅ ∠2

Therefore,

The correct reason for the statement ∠1 ≅ ∠2 will be;

⇒ Definition of Vertical Angles.

Learn more about the vertical angles visit:

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Solve each multi-step equation. Show your work. A - 2 + 3 = -2

Answers

Answer:

a is -3

Step-by-step explanation:

negative 3 minus 2 is negative 5 plus 3 is negative 2

I will mark you brainliest if you get the question right

Answers

Answer:

the answer of this question is

x+13+10x+13+2x-2=180

13x+24=180

13x=156

x=12

q=10.12+13

123

Answer:

P = 25

Q = 133

R = 22

Step-by-step explanation:

x + 13 + 10x + 13 + 2x - 2 = 180 add x's

13x + 13 + 13 - 2 = 180 add number's on left

13x + 24 = 180 subtract 24 from both sides

13x = 156 divide both sides by 13

x = 12

x + 13 = 12 + 13 = 25

10x + 13= 10(12) + 13 = 133

2x -2 = 2(12) - 2 = 22

help


There are 4 housekeepers working on each floor. One room only requires one housekeeper. If the housekeepers try distributing the work equally, how many housekeepers need to clean more rooms that the others?

Answers

35 rooms + 3 suites = 38 total rooms.

38 / 4 = 9.5

2 house keepers can clean 9 rooms each and 2 house keepers can clean 10 rooms each

2 Housekeepers need to clean more rooms than the other two.

9. Convert to fractions and write in simplest form.
A) 0.02
B) 12%
C) 0.5%
D) 1.12

Answers

Answer:

A) 1/50

B) 6/5

C) 1/2

D) 28/25

HELPP I NEED THIS BY 2:30

The second angle of a triangle is 7 more than twice the first angle. The third angle is 3 less than the first. Find all
three angles if the sum of their angles is equal to 180°. (Let x = the measure of the first angle)

Answers

Answer:

44, 95, and 41

Step-by-step explanation:

[tex](x) + (2x +7)+(x-3)=180\\4x +4 = 180\\4x = 176\\x = 44[/tex]

If the ratio of AB:BC is 7:4,
what is the length of AB?

If the ratio of AB:AC is 8:7, what is the length of AC?

PLZ HELP

Answers

Answer:

The answer will be :-

2. AB = 31.5 in

3. AC = 5.25 in

Solve and check the equation.
x/9=x/10-4

Answers

start by getting like terms to one side.
x/9 - x/10 = -4
now make the fractions have a common denominator so that you can subtract
10x/90 - 9x/90 = -4
now simplify
x/90 = -4
now multiply each side by 90 to get rid of the fraction
x = -360
to check, just plug in the value of x into your original equation
it should come out to
-40 = -40

Answer:

x = -360

Step-by-step explanation:

x/9 = x/10 - 4

=> x/9 - x/10 = -4

=> x/10 - x/9 = 4

=> 9x/90 - 10x/90 = 4

=> -x/90 = 4

=> -x = 90(4)

=> x = -360

WHO KNOWS HOW TO DO THIS LET ME KNOW

Answers

Answer:

Step-by-step explanation:

7). Since, ∠4 and ∠5 are the linear pair of angles,

    m∠4 + m∠5 = 180° [Supplementary angles]

    72° + m∠5 = 180°

    m∠5 = 180° - 72°

    m∠5 = 108°

8). Since, ∠6 and ∠7 are the vertically opposite angles,

    Therefore, ∠6 ≅ ∠7

    m∠6 = m∠7

    3x + 94 = 9x - 38

    9x - 3x = 94 + 38

    6x = 132

    x = 22

    m∠6 = 3(22) + 94 = 160°

    m∠7 = 9(22) - 38 = 160°

9). Since, ∠2 and ∠3 are the linear pair of angles, both the angles will be supplementary.

    m∠2 + m∠3 = 180°

    (13x + 54) + (2x + 36) = 180°

     15x + 90 = 180°

     15x = 90

     x = 6

     m∠2 = 13(6) + 54 = 132°

     m∠3 = 2(6) + 36 = 48°

‼️ANSWER QUICKLY THIS IS A TIMED TEST ‼️The community garden in your neighborhood has three
different types of vegetable plants: peppers, tomatoes, and
cucumbers. The ratio of the number of peppers to tomatoes
to cucumbers is 1:5:3. If there are 48 cucumber plants in the
garden, how many total vegetable plants are there in the
garden?

Answers

I’m not 100% sure but I think it’s 80

Do set of numbers DO NOT form a Right Triangle?
O 9, 12, 15
5, 12, 13
3,4,5
O 4,5,6

Answers

Answer:

The ans is 3,4,5

Step-by-step explanation:

Hope it helps you Tq

At lunch, Darius ordered a slice of pizza for $2.75, French fries for $1.20, and a drink for $1.35. Sale tax was $0.37. If Darius paid for his lunch with a $10 bill, how much change did he get back?

Answers

Answer:

he gets 4.33 dollars back

Step-by-step explanation:

add 2.75+1.20+1.35+0.37= 5.67

10-5.67=4.33 $

Answer:

4.33

Step-by-step explanation:

if u add 2.75 1.20 and 1.35 plus the additional 37 cents u get 5.67 then u do 10- 5.67

Tom plans to save twice as much next month as he did during the months he saved over $30 a month. How much will Tom save next month?

This question is a multiple-choice answer.

A. $63
B. $126
C. $86
D. $43

Answers

Answer: i think it is A tell me if i am wrong!

Step-by-step explanation:

Write the exact value of the side length of a square with an area of



95 square units

Answers

a= square root of A= square root of 95≈9.74679 so 9.75

The side length of the square is a = 9.75 units

What is the area of a square?

A square is a four sided quadrilateral with all of the side having equal lengths. The total internal angle of a square is 360° with each side perpendicular to each other.

A square is a 4 sided polygon where all the sides are of equal length.

The area of the square is the square of any one of its side

Let a be the side of the square

Area of the square = a²

Given data ,

Let the area of the square be represented as A

Now , the value of A is

Area of the square = a²

The exact value of the side length of a square with an area of 95 square units can be found by taking the square root of 95.

√95 ≈ 9.74679434481 (approximate value)

Hence , the exact value of the side length of the square is approximately 9.74679434481 units

To learn more about area of square click :

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The angle measures of a triangle are shown in the diagram below.
What is the value of x?

Record your answer in the grid. Be sure to use the correct place value.

8 points total

7 points correct answer

1 point correct bubbling on grid

Answers

Answer:

6x+90+11x+5=180(sum of interior angle of triangle)

17x=180-95

x=85/17=5 is your answer

Find the circumference of the circle.
10 cm
The circumference is cm.
(Type an exact answer in terms of t.)

Answers

Answer:

the answer is either one or two answers

62.83 or 31.42

Step-by-step explanation:

This is the formula i used.

C=2πr

Circumference = 2·π·5 ≈ 31.41593 / 2·π·10 ≈ 62.83185

therefore,

t = 31.41593

      or

t = 62.83185

List the next 4 multiples for the number 21.

Answers

Answer:

21,42,63,84,105 126,147,168,189, and 210.

I hope this helps.

7(4g) + 3(5h) +2(-3g) g=1/2, h=1/3

Answers

Answer:16

Step-by-step explanation:

pa help po dito please need Napo kase ehhh​

Answers

(1) 4/5
(2) 7/9
(3) 6/10
(4) 8/8 or 1 whole
(5) 8/9

Samantha works in a chocolate factory at a conveyor belt that is 18 inches wide and moves large amounts of chocolate to packaging. She counts 225 chocolates in a rectangular section of the conveyor belt measuring 6.5 inches long and 18 inches wide. What is the approximate number of chocolates per square inch of the conveyor belt, rounded to the nearest hundredth?

Answers

Answer:

1.92 chocolates per in²

Step-by-step explanation:

Given that:

Dimension of conveyor belt :

6.5 inches long and 18 inches wide (6.5in * 18in)

Area of conveyor belt = 6.5 * 18 = 117 in²

Number of chocolate = 225

Number of chocolates per square inch :

225 / 117

= 1.9230769 chocolates

= 1.92 chocolates per in²

Marco is building with bricks. He needs 560 bricks total to build a wall, but only has 445. The price per 5 bricks is $25. How much money does Marco need for a total of 115 bricks?

Answers

2,875 bricks because you just going to multiply how many bricks you have by how much they are each for example (115*25)

Answer:

575$

Step-by-step explanation:

If each 5 bricks is 25$  and Marco already has 445 all he needs is 115 more bricks and 115 divided by 5 is 23 so 23 groups of 5 bricks and 23*25 is 575$

I hope this was helpful!!

Which solution value satisfies the inequality x + 10 > 12?
Question 1 options:

A)

x = 3

B)

x = –1

C)

x = 0

D)

x = 2

Answers

Answer:

A) x=3

Step-by-step explanation:

As for B, C, and D,

if x=-1, 9>12 is not true,

if x=0, 10>12 is not true

if x=2, 12>12 is not true

HELP ASAP!! Mrs. Walsh is in search of a birthday gift for her niece and decided to shop at Kohls. Mrs. Walsh just had a nice shopping spree there, therefore she had $15 Kohls cash to use. She also had a friends and family coupon for 25% off the entire purchase. Mrs. Walsh made sure to search the fine print and there was nothing noted saying she cannot use BOTH coupons. Which coupon should Mrs. Walsh use first, or does it matter? Will this always be the case? How do you know? Show your work. ​

Answers

Answer:

The best answer would be the 25% off the entire purchase. Say for example Mrs. Walsh was willing to spend 100$ that would be 25% dollars she saved. But when it comes to save the most amount of money. If she spends under 60 dollars use the 15 dollars off. If it’s over 60 use the 25% off coupon

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