Find the 9th term of the geometric sequence whose common ratio is 1/3 and whose first term is 2.

Answers

Answer 1

Answer:

2/6561

Step-by-step explanation:

Geometric sequence formula : [tex]a_n=a_1(r)^n^-^1[/tex]

where an = nth term, a1 = first term , r = common ratio and n = term position

given ratio : 1/3 , first term : 2 , given this we want to find the 9th term

to do so we simply plug in what we are given into the formula

recall formula : [tex]a_n=a_1(r)^n^-^1[/tex]

define variables : a1 = 2 , r = 1/3 , n = 9

plug in values

a9 = 2(1/3)^(9-1)

subtract exponents

a9 = 2(1/3)^8

evaluate exponent

a9 = 2 (1/6561)

multiply 2 and 1/6561

a9 = 2/6561


Related Questions

Pls help me with 13 you will get Brainly the instructions are to evaluate the following a=6, b=3,c=2 please answer this question pls you will get Brainly for the best answer but please provide step-by-step explanation also

Answers

You have to plug in the values into the equation.

Since a=6, all the a's in the equation would be replaced by 6 and same goes for the b.

^ means exponent btw

= -[2(6)^2 -6- (5(6)^2-3(3)) -4(6)^2 +2(3)]

Calculate/ simplify

= -[2(36)-6 - (5(36) -9)-4(36)+6]

Multiply all the things in parenthesis

= -[72-6-(171)-144+6]

Add/subtract

= -[-243]

Negative times negative becomes positive therefore, the answer becomes 243

Trigonometry, just the first one, will mark as brainliest if helpful

Answers

Answer:

a = -0.5

b = −1.73

c = −0.70

d = [tex]-\frac{\sqrt{2} }{2}[/tex] ≈ -0.70710678

Step-by-step explanation:

EXPLAIN Q(a):

sin(−30)

Use the property sin(−x)=−sin(x).

−sin(30)

Get the value of sin(30) from trigonometric values table.

-0.5

8 divided by 0.61 show me how you solved it

Answers

8/0.61=13.114… then round if needed

A taxi cab company charges an initial fee of $4 and then $5 per mile for a ride. Use the equation c = 5x + 4 to complete the table

Answers

Answer:

Plug in the number of miles for x and solve for c- this will be your total number.

Step-by-step explanation:

Plug in the values you need for your table and solve for c.

3. Mr Chen's salary was $2800. He spent $1500 and gave the rest equally to each of his 3 daughters and 2 sons. How much did each daughter receive? Ans:​

Answers

Answer:

$260 each

Step-by-step explanation:

Combined, Mr. Chen as 5 children. 2800-1500 = 1300. 1300/5 = $260 per child.

How do I solve this?

Answers

Answer:The solution is in the attached file

Step-by-step explanation:

Solution:

Note that:

Slope of line = 4Given point: (1, 13)Point slope form formula: y - y₁ = m(x - x₁)

Use the formula to obtain the equation of the line.

y - y₁ = m(x - x₁)=> y - 13 = 4(x - 1)=> y - 13 = 4x - 4=> y = 4x - 4 + 13=> y = 4x + 9

The equation of the line is y = 4x + 9.

Consider the equation y=2^x+1-7

Answers

2278753378947864-:$#hdsh

Why did Marie Antoinette need to marry the French family?

Answers

Their common desire to destroy the ambitions of Prussia and Great Britain and to secure a definitive peace between their respective countries led them to seal their alliance with a marriage

When factoring x2−10x−24 ,you need two numbers that multiply to equal -24 and add to -10.

Answers

Answer:

-12 and 2; it is factored as [tex](x+2)(x-12)[/tex]

Step-by-step explanation:

Since their product is negative, one is positive and the other is negative.

Moreover, since the sum is negative the greater of the two is negative.

Considering that factors of 24 are 1, 2,4,6, 12, 24 you have the following options:

-24 and 1. Sum gets to -23. Nope.

-12 and 2. Sum is indeed -10. Check!

-6 and 4. Sum is -2. Nope again.

The two numbers are thus -12 and 2. The factorization becomes

[tex]x^2-10x-24 = (x+2)(x-12)[/tex]

How much income with benefits can she expect? $43,500 $48,500 $53,500 $56,000.

Answers

Answer:

56,000

Step-by-step explanation:

Basically you add 48,500+2,500+5000 and you get 56,000 which should be D. :)

Answer:

56,000

Step-by-step explanation:

edge 22

Joe takes part in math competitions. A particular contest consists of 25 multiple-choice questions, and each question has 5 possible answers. It awards 6 points for each correct answer, 1. 5 points for each answer left blank, and 0 points for incorrect answers. Joe is sure of 12 of his answers. He ruled out 2 choices before guessing on 4 of the other questions and randomly guessed on the 9 remaining problems. What is his expected score? 69. 2 75. 6 90. 8 97. 2.

Answers

The expected score that Joe can obtain provided the probability of the left-out questions being correct as per the given situation is 90.8.

Points secured by Joe by answering correctly = 12*6 = 72

What is probability?

Probability is the conversion of possibilities or occurrences in numbers.

Now, the probability of a correct guess in the questions in which Joe eliminated 2 choices = 1/3

So, the possible marks of Joe in those 4 questions = 1/3*4*6=8

Probability of correct guess in remaining 9 random guesses= 1/5

So, the possible marks that Joe can score in those 9 random guesses = 1/5*9*6 = 10.8

Therefore, the expected score of Joe = 72+8+10.8 = 90.8

To get more about probability refer to the link,

brainly.com/question/25870256

HELP WITH I NEED THE AREA OF THIS TRIANGLE AND I WILL GIVE BRAINLIEST TO BEST STEP BY STEP ANSWER

Answers

Solution:

Note that:

Area of triangle = 1/2 x Base x Height

Use the formula to find the area.

1/2 x 8mn x 4m²=> 4mn x 4m²=> 16m³n units³

The area of the triangle is 16m³n units³.

An item is regularly priced at $40. Miguel bought it on sale for 30% off the regular price. How much did Miguel pay?

Answers

Answer: 28

Solution:
(Based on the given conditions formulated:)

40 x (1 - 30%)

40 x (1 - 0.3)
Calculate the sum or difference

40 x 0.7
Calculate the product or quotient

= 28

HELPPP!!

Can someone tell me the exact answer to 165 divided by 26? Do I put 6.34615384615 in? Or what do I put!!!!!! Do not say 6.34615384615

Answers

Answer

6 with a remainder of 9

Step-by-step explanation:

Answer:

6.35

Step-by-step explanation:

"How many times does 26 go into 165?" is the same as asking "How much is 165 divided by 26?" Thus, the answer can be calculated as follows:

165/26 = 6.35

Tip: When you get a question like "How many times does 26 go into 165?", just think of it as how many times you can fit 26 into 165.

When you have a 90-degree angle in a triangle, what happens to the law of cosines? What formula does it "turn in to"?

Answers

Answer:

Pythagorean Theorem

Step-by-step explanation:

a² + b² = c²

The sum of the square of the hypotenuse is equal to the sum of the squares of the sides of the right triangle.

When you have a 90-degree angle in a triangle, the Law of Cosines simplifies to the Pythagorean theorem: c² = a² + b².

When you have a 90-degree angle in a triangle, it means that the triangle is a right triangle.

In a right triangle, one of the angles is exactly 90 degrees, and the side opposite to this right angle is called the hypotenuse.

The Pythagorean theorem relates the lengths of the sides of a right triangle and is a special case of the Law of Cosines.

The Law of Cosines is given by:

c² = a² + b² - 2abcos(C)

Where:

c is the length of the side opposite angle C.

a and b are the lengths of the other two sides.

C is the angle opposite side c.

Now, when you have a right triangle and C is the right angle (90 degrees), the cosine of the right angle becomes zero.

This is because the cosine of 90 degrees is 0.

Therefore, the Law of Cosines simplifies to:

c² = a² + b² - 2abcos(90°)

c² = a² + b²

Hence, c² = a² + b² is the well-known formula for the Pythagorean theorem, which relates the squares of the lengths of the two shorter sides (legs) of a right triangle to the square of the length of the hypotenuse.

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ3

Savannah needs to buy a bag of dog food that will last for 2 weeks (14 days). estimates that a 20 lb bag will be enough

Answers

Answer:

3 because it just is and that's just why because it is the answer is 3

randy read a book in the afternoon. He looked at his watch when he started and finishing reading. How long did randy read

Answers

The length of the time that randy read is 45 minutes.

What is time?

Time is known to be an element that is often measured or that is measurable.

From the image attached, Randy started reading at 4:10 and Randy finished reading at 4:55.

We therefore need to subtract:

4:55 - 4:10 = 45 minutes

So, Randy is said to read  for 45 minutes.

It is a period via which an action, process, etc. is alive or continues such as duration. One can tell the time by counting the minutes and seconds.

Learn more about time from

https://brainly.com/question/25607827

The straight line joining points A(p,3) and B(1,-1) has length 5, workout the value of p

Answers

Answer:

d^2 = <y2-y1>^2 + <x2 -x1) ^2

so

p =4

 A lawn sprinkler sprays water in a circular area of grass. The diameter of the circular area of grass is 15 ft.   What is the area that this sprinkler sprays with water?


Answers

Answer:

56.25[tex]\pi[/tex]ft² or 176.715 ft²... it depends of if you round or not

Step-by-step explanation:

area = πr², r=7.5, 7.5*7.5=56.25

A quadrilateral has vertices at (1,1), (4,2), (0,4), and (5,5). What is the perimeter of the quadrilateral?

Answers

Answer:

  3√10 +√26 ≈ 14.6 units

Step-by-step explanation:

In order to find the perimeter of the figure, we need to determine the lengths of its sides. A plot of the points on a graph reveals that three sides are a length that is the hypotenuse of a right triangle with legs 3 units and 1 unit. Those lengths are ...

  c² = a² +b²

  c = √(3² +1²) = √10

The remaining longer leg is the hypotenuse of a right triangle with legs 5 units and 1 unit. Its length is ...

  c = √(5² +1²) = √26

__

The perimeter of the figure is the sum of its side lengths. The sum of the lengths of the three short sides and the long side is ...

  3√10 +√26 ≈ 14.59 . . . units

The perimeter of the quadrilateral is about 14.6 units.

What is the slope of the line shown?
у
(-6, 7)
(-2, 6)
(2,5)
(6,4)
X

Answers

Answer:

The slope of the line shown is -1/4.

Step-by-step explanation:

Change in y/Change in x = - 1/4

find the area of the parallelogram

Answers

Area = base x perpendicular height

=7.7 x 2
=15.4 m2

Which graph represents the given function?

Answers

Answer: it’s b

bye don’t have a good day have a great day

Step-by-step explanation:

Angie was given the system of equations. Angie’s work is shown in the table.
7x+y=−12
7x+4y=−6
Where did Angie make an error? Justify your answer.


Step 1; because she should have multiplied the second equation by -1.


Step 2; because she should have eliminated the y-value.


Step 3; because she used substitution incorrectly.


Step 4; because the solution is (2,-26).

Answers

Angie made an error because she used substitution incorrectly in step 3.

System of equation

7x + y =−12

7x + 4y = −6

subtract equation(i) from (ii) to eliminate x

Therefore,

3y = 6

y = 6 / 3

y = 2

Therefore,

7x + 2 = -12

subtract 2 from both sides of the equation

7x = -12 - 2

7x = - 14

x = - 14 / 7

x = -2

(-2, 2)

Therefore, Angie use substitution incorrectly in step 3.

learn more on system of equation here: https://brainly.com/question/1818941

Gretta is having a birthday party and is buying pizza for everyone. She buys 32 pizza for 8.00 dollars. What is the unit rate?

Answers

Answer

= 4 pizzas per dollar

Step-by-st:ep explanation:

This is a fraction equal to

32 pizza ÷ 8 dollars

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 8

32 pizza ÷ 8

8 dollars ÷ 8

=

4 pizza

1 dollar

=

4 pizza

dollar

= 4 pizzas per dollar

Hope this helps!

Slope of (-9, -3) and (7, -7)

Answers

Answer:

it will be -10/-2 which will get you a slope of positive 5 since the negatives cancel out with each other

Step-by-step explanation:

Answer:

Its an up slope function that measures up to 10 apart diagonal. Also, I included a picture.

hope this helps!

This is the graph of f(x). What is the value of f(2)?
A. 2
B. 16
C. 8
D. 4

Answers

Answer:

D

Step-by-step explanation:

When x=2, f(x)=4. This means that f(2)=4.

Does acute isosceles exist?

Yes Or no..

Answers

Answer:

YES

Step-by-step explanation:

isoceles triangles CAN be acute in real.

Just try to look at an isoceles triangle, if there is one angle that is obtuse, then there HAS to be an angle that is acute.

Thanks!

Answer:

Yes, acute isosceles triangles exist.

Step-by-step explanation:

the cost of cab fare is $12.00 write and solve an equation to show the total with a 13% tip add

Answers

Answer:

13.56$

To write an equation, we need to think about what this is asking us. It's asking us to take a number and increase the total % to be 113% of the original number. This looks something like

[tex]y = 1.13x[/tex]

Where y is amount with a tip and x is amount before a tip. To calculate for 12 dollars, we plug 12 into x and it comes out as 13.56 dollars

Hope it helps!

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST THANKS

Answers

Answer:

rectangle, square, and trapezoid

Step-by-step explanation:

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