#1: Given the geometric sequence 3, 9, 27, 81...
• write the explicit formula. Determine the 20th term of the sequence

Answers

Answer 1

Answer:

3486784401

Step-by-step explanation:

a=3, r = T2/T1 = 9/3=3

Tn = ar^(n-1)

T20 = ar^(20-1)

T20 = ar^19

T20 = 3×(3^19]

T20 = 3486784401

Answer 2

Answer:

The given geometric series is:

3,9,27,81

Step-by-step explanation:

common ratio: r = ([tex]a_n +1/ a_n[/tex])

                        r = 3

20th term of geometric series is that :

[tex]3^{1} =3\\3^2=9\\3^3=27\\3^4=81\\3^5=243\\.\\.\\.\\.\\.\\3^20 = 3486784401[/tex]


Related Questions

Miranda mixed 34.5 fluid ounces of blue paint, 40.5 fluid ounces of red paint, and 2 fluid ounces of black paint to make purple paint. She poured the same amount of the purple paint into 14 jars. How much paint did she pour in each jar

Answers

Answer:

5.5

Step-by-step explanation:

Miranda mixes 34.5 fluid ounces of blue paint

40.5 fluid ounces of red paint.

2 fluid ounces of black paint to produce a purple paint

She pours this purple paint into 14 jars

Therefore the amount of paint in each jar can be calculated as follows

= 34.5 + 40.5 + 2

= 77/14

= 5.5 fluid ounces

Hence there are 5.5 fluid ounces of purple paint in each jar

Answer:

5.5

Step-by-step explanation:

What is an additional expression that has the value of -8?

Answers

Answer:

-12 + 4

Step-by-step explanation:

If the population changes by 2.5% per year, what percentage does it change in 5 years

Answers

The population changes to 12.5% in 5 years.

Which of the following best describes the graph above?
OA. both a relation and a function
OB. function only
OC. neither a relation nor a function
OD. relation only

Answers

Answer:

The answer you are looking for is B) Function only.

Step-by-step explanation:

A function graph would mean that each x value corresponds to one y value, in a function multiple x values can have the same output but one x value cannot have more than one output.

A relative graph means each x value has their own unique output value and each x value (f(x)) has one output but cannot share that output with any other x value.

In this case x=5 which means it can only be a function.

Hope this helps!

I will mark brainliest: ;​

Answers

I’m going to have to say true because it is appropriate that you can use the solutions from any equation by just graphing two of the sides that were used from the following problem.

I am in need of help

Answers

Answer:

q = 4.9

m∠R = 27.1°

m∠S = 136.9°

Step-by-step explanation:

To solve the triangle we will use the cosine rule and the sine rule

In the given triangle

∵ q is the opposite side of ∠Q

∵ s is the opposite side of ∠S

∵ r is the opposite side of ∠R

m∠Q = 16°

r = 8 and s = 12

→ By using the cosine rule to find q

q² = r² + s² - 2 r s cos∠Q

→ Substitute the values of r, s, and ∠Q in the rule above

∵ q² = (8)² + (12)² - 2(8)(12)cos(16°)

∴ q² = 23.43775438

→ Take √ for both sides

∴ q = 4.841255455

→ Round it to the nearest tenth

q = 4.9

→ To find angles R and S we will use the sine rule

∵ [tex]\frac{r}{sin(R)}[/tex] =[tex]\frac{q}{sin(Q)}[/tex] = [tex]\frac{s}{sin(S)}[/tex]

→ Use the first two ratios to find m∠R

∵ [tex]\frac{8}{sin(R)}[/tex] = [tex]\frac{4.841255455}{sin(16)}[/tex]

→ By using cross multiplication

∴ 4.841255455 × sin(R) = 8 × sin(16)

→ Divide both sides by 4.841255455

∴ sin(R) = 0.4554807874

→ Use [tex]sin^{-1}[/tex] to find m∠R

∵ m∠R =  [tex]sin^{-1}[/tex] (0.4554807874)

∴ m∠R = 27.0958732

→ Round it to the nearest tenth

m∠R = 27.1°

∵ The sum of the measures of the angle in a triangle is 180°

m∠S + m∠Q + m∠R = 180°

→ Substitute the values of m∠Q and m∠R

∵ m∠S + 16° + 27.1° = 180°

∴ m∠S + 43.1 = 180

→ Subtract 43.1 from both sides

m∠S = 136.9°

i need help pleaseeeee!!!!

Answers

Answer:

280 mins

Step-by-step explanation:

please graph the line y= -2/3x + 2

Answers

The slope is -2/3 and the y-intercept is 2. It should look something like this. Let me know if you need more of an explanation.

i neeeedd helpp asap

Answers

I think the 3rd one

Answer:

oh it c .

Step-by-step explanation:

6x + 3 > -33 on a number line

Answers

Answer:

Step-by-step explanation:

1. This two-way table shows the results of asking students if they prefer to have gym class in the morning or the afternoon. morning afternoon total grade 6 15 8 23 grade 8 18 21 38 grade 10 12 26 38 total 45 55 100 a. How many students participated in the survey? b. How many students in grade 8 prefer to have gym in the morning? c. How many grade 10 students participated in the survey? d. How many students prefer to have gym in the afternoon? **When you give your answers, label them as a, b, c, and d.​

Answers

a)There are 200 students who attended the survey.

b)There are 18 students who prefer the gym in the morning.

c)There are 38 grade 10 students who participated in the survey.

d)There are 110 student students who prefer to have a gym in the afternoon.

What is a data table?

A data table is a piece of writing made up of rows, columns, and cells that each contain a particular value. They keep data that people can access later and update as required.

The given data is shown in table,

The data table's title, column headers, and row headers can all aid a user in better comprehending the data in the table. Data tables present information in a format resembling a grid with rows and columns.

To enable users to find patterns and draw conclusions from data, they arrange information in ways that are simple to scan.

Thus, there were 200 students who participated in the poll, 18 of whom preferred the gym in the morning, 38 grade 10 students, and 110 of them preferred to have a gym in the afternoon.

Learn more about the table here,

https://brainly.com/question/10670417

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write an equation in slope- intercept form (0,4) slope 5
I need help so pls

Answers

Answer:

5,4

Step-by-step explanation:

5,4


explanation; step by step

Dan charges $15 per hour for walking dogs. How much will he earn for 5
hours? *
$70
$65
O $75

Answers

All you have to do is do 15 times 5 = 75

Answer:

I'm pretty sure its 75 cause 15 x 5 is 75

Step-by-step explanation:

a golfer hits a golf ball up in the air from a platform which is 10 feet above the ground. The table models the height h of the golf ball in feet as it travels a horizontal distance d. Consider the graph of the coordinates below which model the balls path. Which of the following is the domain for the graph?

Answers

Answer:

The domain (x) is the height of the ball

the answer is 0 is less then or equal to d is less then or equal to 412

amys mom.made.60 cookies her mom made her.brother Jeff has eaten 10 cookies what is the percentage of the cookies that are remaining?​

Answers

Answer:

the answer is c

Step-by-step explanation:

plzzz help i will give brainliest if i can

Answers

Answers: choice C and choice E

Plugging x = 3 and y = -1 into both equations of choice C lead to a true result (the same number on both sides). This is why the system of equations listed in choice C is one possible answer. Choice E is a similar story.

If your teacher didn't mean to make this a "select all that apply" type of problem, then it's likely your teacher may have made a typo.

BRO I NEED HELP THIS DUE IN 4 MINS!

Answers

Answer:

440 computers in warehouse B

Step-by-step explanation:

1030=A+B

A=b+150

replace the formula.

a=b+150

so replace the "a"+b=1030

so then it'd be b+150+b=1030

now that's easy.

2b+150=1030

-150       -150

2b=880

/2      /2

b=440

An electrician charges $75 per hour on top of a set fee of $50 for every house call. Write an equation for C, in terms of t, representing the total cost of the electrician's services if the electrician spends t hours at the house working.

C=?

Please help

Answers

Answer:

C= 75t + 50

This is the equation to use.

The equation that represents the total cost for a house will be C = 75t + 50.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

An electrical expert charges $75 each hour on top of a set expense of $50 for each house call.

Let 't' be the number of hours and 'C' be the total cost of the service. Then the equation is given as,

C = 75t + 50

The condition that addresses the all-out cost for a house will be C = 75t + 50.

More about the linear equation link is given below.

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Help it’s due soon!

Answers

Answer:

25%

Step-by-step explanation:

i would say c because it increased by 30%





Elliot has a total of 26 books. He has 12 more fiction books than nonfiction books. Let x represent the number of fiction books and y represent the number of nonfiction books.

The system of equations models the total costs for each.

x + y = 26
x – y = 12

Answers

Answer:

19 fiction books

7 nonfiction books

Step-by-step explanation:

your welcome if it helped

Step-by-step explanation:

Write an equation in slope-intercept form of the line shown.
(2,-1) (4,-4)

Answers

Answer:

add 44 and 21 and you will get the answer

Answer:

y = -3/2x+2

Step-by-step explanation:

The slope for a slope equation is y = mx+b

Since it's decreasing from left to right the first part of the equation (mx) is -#x. The second part of the equation (+b) will be +2 because the y-intercept is (0,2). If it were a negative # then it would be -7, or -4, or - whatever.

Now you have to find the slope. To find the slope simply do y1-y2/x1-x2 or y2-y1/x2-x1. Let's follow this equation. say that (2,-1) is 1 and (4,-4) is 2.

-1+4/2-4 = 3/-2 = -3/2. The equation would be y = -3/2x +2. Let's check our work by substituting  our variables with numbers using the set (2,-1). Pleases tell me if I'm wrong or if this is confusing.

Solve for c:

3-(2c-8)=7

Please include a step-by-step so I know how you did it

Answers

Answer:

c = 2

Step-by-step explanation:

3 - (2c - 8) = 7

3 - 2c + 8 = 7

-2c + 11 = 7

-2c = -4

c = 2

hope this helps, pls mark brainliest :D

What is 8×9÷6+2-8.53²+⅖​

Answers

8×9÷6+2-8.53²+⅖​

= -58.3609

The answer to this would be -58.3609

You decide to invest $997.90 at an interest rate of 17% l, how long will it take to triple your money? Round to the nearest whole number.

Answers

Answer:

Approximately 18 years

Step-by-step explanation:

Triple: 997.90*3. which is 2993.7

997.90*0.17*x=2993.7

(x is time)

169.643x=2993.7

x=2993.7/169.643

x= approximately 17.64....... years/

18 years.

Hope this helps plz hit the crown :D

how many solutions can be found for the equation 4x-8-4x=9

Answers

Answer:

no solutions

Step-by-step explanation:

Tyra competed on a trivia game show. 10 points were awarded for correct answers, and 5 points were deducted for incorrect answers. She answered 2 questions correctly, but answered one incorrectly. How many points does she have?

Answers

Answer:

15

Step-by-step explanation:

10+10-5=15

Answer:

It is 15

Step-by-step explanation:

Hope this helped have an amazing day!

Total consumption of fruit juice in a particular country in 2006 was about 2.05 billion gallons. The population of that country in 2006 was 500 million. What was the average number of gallons of fruit juice consumed per person in the country in​ 2006?

Answers

Answer:

4.1 gallons per person

Step-by-step explanation:

The total consumption of fruit juice is 2.05 billion

The total population is 500 million

Therefore the average number of gallons fruit juice consumed per person can be calculated as follows

=total consumption/total population

= 2,050,000,000/500,000,000

= 4.1 gallons per person

help please i need to get this done​

Answers

ANSWER X=4. You basically plug what y equals to into the second equation the solve for x.

Answer:

x = 4

y = -7 or (-7, 4)

Step-by-step explanation:

y = -2x + 1

4x + y = 9 replace y in the second equation with (-2x + 1) since y is equal to it

4x + (-2x + 1) = 9 add like terms

2x + 1 = 9 subtract 1 from both sides

2x = 8 divide both sides by 2

x = 4 since y = -2x + 1 replace x with the value we found

y = (-2) × 4 + 1 = -7

Select the correct answer. Based on the table, which city has the highest temperature in January? City January Temperature (°C) New Orleans 7 Philadelphia -4 Phoenix co Rochester -8 San Antonio 5 OA New Orleans B. Philadelphia O C. Phoenix D. Rochester O E. San Antonio​

Answers

Answer:

knew Orleans

Step-by-step explanation: i think i'm not really sure

Based on the table, Phoenix has the highest temperature in January. Therefore, the correct option is option C among all the given options.

What is temperature?

The physical concept of temperature indicates in numerical form how hot or cold something is. A thermometer is used to determine temperature. Thermometers are calibrated using a variety of temperature scales, which historically defined distinct reference points including thermometric substances.

The most popular scales are the Kelvin scale (K), which is mostly used for scientific purposes, the Celsius scale (°F), as well as the Celsius scale, which has the unit symbol °C. Based on the table, Phoenix has the highest temperature in January.

Therefore, the correct option is option C.

To know more about temperature, here:

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Find the range of the graphed function.


A. Y is all real numbers

B. Y>_0

C. 0<_y<_10

D. -9<_y<_5

Btw, <_ or >_ is the greater than or equal to or less than or equal to sign.

Answers

Answer:

The range of the function should be:

-9 ≤ y ≤ 5

Hence, option D is true.

Step-by-step explanation:

We know that the set of values of the dependent variable for which a function is defined.

From the given function, we can easily observe that the graph is kind of oscillating between the y-value y = 5 and y = -9.

i.e.

at y = 5, the graph gets its maximum value

at y = -9, the graph gets its minimum value

Thus, the range of the function should be:

-9 ≤ y ≤ 5

Hence, option D is true.

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