1, 3/2 , 9/4 ... Find the 9th term

Answers

Answer 1

Answer:

6561/256

Step-by-step explanation:

You can notice that each term is equal to the previous term multiplied by 3/2. This means that it is a geometric series. The formula to find the nth term is as follows:

[tex]a_{n}= a_{1} *(r)^{n-1}[/tex]

The first term, a1, is 1 and r, the common ratio is 3/2 because that is what you are multiplying by. We can also substitute in n as 9 because we are looking for the ninth term:

[tex]a_{9} = 1 *(\frac{3}{2} )^{9-1}\\\\a_{9} = (\frac{3}{2})^{8}\\\\a_{9} =\frac{3^8}{2^8} \\\\a_{9} =\frac{6561}{256}[/tex]


Related Questions

Write the equation in standard form.

5−3(x−2y)=1−5x

x - y = 2
2x - 3y = -4
x + 3y = -2
2x - 2y = 4

Answers

Answer:

ik this is last but the answer is c

Step-by-step explanation:

just took the test

Please help me with this will rate brainliest

Answers

Answer:

For question 3 the answer is 20 minutes and for question 5 the answer is 1 hour

Step-by-step explanation:

If f(1)=6 and f(n) = F(n - 1) + 2 then find the value of f(4).

Answers

Hi there!

[tex]\large\boxed{f(4) = 12}[/tex]

We know that:

f(1) = 6

F(n) = F(n - 1) + 2 (Meaning, the next "n" is 2 added to the previous)

We can count up to f(4) using this logic:

f(2) = F(2 - 1) + 2 = F(1) + 2 = 6 + 2 = 8

f(3) = F(2) + 2 = 8 + 2 = 10

f(4) = F(3) + 2 = 10 + 2 = 12

I will give out brainless if you get this right
How many sides does a dodecahedron have?

Answers

Answer:

12

Step-by-step explanation:

i need help fast please

Answers

That is too long 636363663

its too long and if you want someone to do it fast it takes a long time

John lives 27 miles from school. Steven lives 9 more miles from school
than John.
How many miles does Steven live from
school?

Answers

Answer: 36

Step-by-step explanation:

27+9=36

Answer:

36

Step-by-step explanation:

27+9=36

I steven lives 9 more miles than john we are adding.

5/9 divided by 8/5 the lesson is called dividing fractions

Answers

Answer: It can sometimes be difficult to divide fractions, such as 5/9 divided by 8/5. But it's no problem! We have displayed the answer below: 5/9 ÷ 8/5 = 25/72

Step-by-step explanation: Hope this help u bru

The median annual salary for travel agents is P300,000. If the 80th percentile for the annual salary of a travel agent is P500,000, approximately what percent of the travel agents have annual salaries less than P300,000?

Answers

Using the percentile concept, it is found that 50% of travel agents have annual salaries less than P300,000.

In a data-set, if a measure is at the xth percentile, x% of the measures are less than x.The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.

In this problem, the median is of P300,000, and thus, 50% of travel agents have annual salaries less than P300,000.

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Name the properties used to solve this equation:
4/3(3/4x)=4/3 * 1/4. Given
(4/3 * 3/4)x=4/3 * 1/4 a.
1x=4/3 * 1/4. b.
x=4/3 * 1/4 c.
x=1/3 4/3*1/4=1/3

Answers

We want to see the properties used to solve the given equation.

The properties used are:

Existence of the multiplicative inverse.Associative property of the multiplication.

Let's write step by step and see which property we used on each step.

We start with:

[tex]\frac{4}{3} *(\frac{3}{4} *x) = \frac{4}{3} *\frac{1}{4}[/tex]

Now we use the associative property of the multiplication (says that we can multiply in any order we want) we rewrite this to:

[tex](\frac{4}{3} *\frac{3}{4} )*x = \frac{4}{3} *\frac{1}{4}[/tex]

Now we use the existence of the multiplicative inverse, this says that for a number a, there exist a number b such that:

a*b = 1

And we have that b = 1/a.

Then we apply that to the first factor to get:

[tex](\frac{4}{3} *\frac{3}{4}) *x = \frac{4}{3} *\frac{1}{4} \\\\x = \frac{4}{3} *\frac{1}{4}[/tex]

Again, using the same but with the numerator of the first factor of the right side and the denominator of the second factor of the right side we get:

[tex]x = \frac{4}{4} *\frac{1}{3} = \frac{1}{3}[/tex]

Then the properties used are:

Existence of the multiplicative inverse.Associative property of the multiplication.

If you want to learn more, you can read:

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y = (x - 5) (x + 2) , when x=3

Answers

Answer:

-10

Step-by-step explanation:

y = (x - 5) (x + 2)

y = (3 - 5) (3 + 2)

y= (-2) (5)

y= -2 x 5

y= -10

solve pls brainliest make sure is correct

Answers

Answer:

113/20 < 5 7/10 < 5.749 < 5.78

Step-by-step explanation:

113/20, 5.78, 5.749, 5 7/10

113/20 = 5.65

5 7/10 = 5.7

113/20 then 5 7/10 then 5.749 then 5.78

write the smallest whole number that make this statement correct 1142 > >981​

Answers

Answer:

982

Step-by-step explanation:

The teacher is asking for the smallest number which fits the statement. 982 is correct because it is only one more than 981.

The smallest whole number that make this statement correct 1142 > >981​ is,

⇒ 982

As, 1142 > 982 > 981

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Statement is,\

⇒ 1142 > ? > 982

Now, We can find the smallest whole number that make this statement correct as;

Since, 982 is just greater than 981.

Hence, The correct number is, 982

Thus, We get;

1142 > 982 > 981

Hence, The smallest whole number that make this statement correct 1142 > >981​ is,

⇒ 982

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Question 8 of 10
Find the slope of the line below. Enter your answer as a fraction or decimal.
Use a slash mark (/) as the fraction bar if necessary.

Help please

Answers

Answer:

no

Step-by-step explanation:

no

The solution is, the slope of the line below is 1/2.

What is slope?

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

here, we have,

from the given graph, we get,

the line is passing through the points (-2, -3 ) and, (2, -1 )

now , we know that,

We can find the slope of a line given two points by using the following:

m = ( y2-y1)/(x2-x1)

so, substituting the values of the coordinates of the points,

we get,

m = -1 + 3 / 2 + 2

   = 2 / 4

   = 1/2

Hence, The solution is, the slope of the line below is 1/2.

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Which statements about opposites are true? HELLP ME ASAP PLS!!!

Select each correct answer.


The opposite of a number is 1 divided by that number.

The opposite of the opposite of a number is the number itself.

A non-zero number and its opposite are located on opposite sides of zero on a number line.

The opposite of a number is always a negative number.

Answers

Statements 2 & 3 are true

show that x2-8x+20 can be writtern in the form (x-a)2 +a where a is an interger
and explain how you know x2-8x+20 is always positive

Answers

Answer:

The answer is . (x-4)²-11.

Step-by-step explanation:

PLEASE MARK AS BRAINLIEST!!!!!

Carl’s Cards will print holiday cards for $2 each plus a shipping fee of $25. Penny’s Prints offers holiday cards for $5 each with a shipping fee of $10. Create and use an algebraic equation to find out the number of holiday cards for which the cost is the same for either company. *
Using the same information from above, if you need to purchase 10 holiday cards, which company should you order from and why?

Carl's
Pennys

Answers

Answer:

the answer is 5

Step-by-step explanation:

solve pls brainliest

Answers

So yes Bc of the things that those Bc of all that

Answer:

Part a: Add 360 to -168, which is , to get 192 ft.

Part b: Subtract -168 from -132, to get -300 ft.

Hope this helped :)

Ryan is making biscuits. The recipe call for 0.25 quart of milk and 2.5 cups of flour. He has 1/5 quart of milk and 9/4 cups of flour. Explain his error

Answers

Answer:
He does not have enough milk. He only has 0.2 quarts of milk

Ryan's error lies in not utilizing the right units for measurement. He used inadequate milk and wrong flour measurement, influencing the recipe's proportion and result.

How to explain Ryans' error

Ryan's error lies in not utilizing the right units for measurement. The formula calls for 0.25 quart of drain and 2.5 glasses of flour. Ryan utilized 1/5 quart of drain (which is less than 0.25 quart), and rather than utilizing glasses for flour, he utilized 9/4 mugs (which is identical to 2.25 mugs, not 2.5 glasses).

This bungle of units and wrong measurements might lead to the rolls having the off-base consistency and taste due to the awkwardness of fixings. It's imperative to use the desired units and estimations in formulas to realize the expected result.

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A cube has an edge of 3 feet. The edge is increasing at the rate of 4 feet per minute. Express the volume
of the cube as a function of m, the number of minutes elapsed.
Hint: Remember that the volume of a cube is the cube (third power) of the length of a side.

Answers

Answer:

so it increases by 4 per minute

the volume of a cube is v=side^3

so the side length be 5+4m where m is the number of minutes

therefor the volume can be expressed as V(m)=(5+4m)³

Step-by-step explanation:

The volume of the cube can be expressed as a function of m, the number of minutes elapsed as V(m) = (3 + 4m)³ feet³.

What do we mean by volume?

The volume of an object is the total space occupied by the object in the three-dimensional space.

How do we solve the given question?

In the question, we are asked to express the volume of a cube as a function of m, the number of minutes elapsed. We are given that the initial length of the edge of the cube was 3 feet, and it increases at a rate of 4 feet per minute.

∴ We can say that the length of the edge after m minutes = 3 + 4m

As 4 feet is the increase per minute and m minutes have elapsed.

We know, that the volume of a  cube is the cube of the length of the edge.

∴ The volume = (3 + 4m)³.

Hence, the function of the volume of the cube in m can be written as,

V(m) = (3 + 4m)³ feet³.

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1) Choose the best answer.
To solve an equation, you must
which means you must perform
whatever operations are necessary so that the variable appears by itself on one side of
the equation but not on the other side.
A.use substitution
B.isolate the variable
C.check your answer
D.apply the Symmetric Property of Equality

Answers

B to solve for a variable you must isolate the variable so it’s alone on one side of the equation

The process of isolating the variable is the primary step involved in solving an equation.

Thus, option (B) is correct.

A) Substitution refers to the act of replacing a variable with a known value in an equation, which can be a useful strategy in some cases but is not a fundamental step in solving equations.

B) To solve an equation, it is necessary to perform operations that isolate the variable on one side of the equation and keep the other side free of the variable.

C)To verify if the obtained solution satisfies the original equation, but it is not a step required to solve the equation.

D) It states that if a = b, then b = a.

It is a property that allows us to interchange the positions of two equal expressions in an equation but is not directly related to solving equations.

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Can somebody help me anyone

Answers

Answer is C and D because they are not rational

8x+2y=0
Identifying Direct Variation Equations Tell whether the equation respresents Direct Variation. If so, Identify the constant of variaion.

-Giving a brainely for correct answer

Answers

Answer:

Below.

Step-by-step explanation:

They are of the form y = kx  where k is some constant.

8x + 2y = 0 is  Direct Variation because you can transform it:

8x + 2y = 0

2y = -8x

y = -4x   :-   here k = -4.

NO LINKS OR ASSESSMENT!!!

Part 2: State the Domain and Range of each graph in BOTH inequality and interval notation​

Answers

Domain = set of input value

Range = set of output values

#1Domain: -2 < x ≤ 2 or (-2, 2]Range:    -4 < y ≤ 4 or (-4, 4]#2Domain: -5 ≤ x ≤ 1 or [-5, 1]Range:    -1 ≤ y ≤ 5 or [-1, 5]#3Domain: -4 < x < 4 or  (-4, 4)Range:    -1 ≤ y < 3 or  [-1, 3)

What is the expected value for the spinner shown below? Enter your answer as a
decimal rounded to the thousandths place,
6
-5
2
-2


Answers

Anser: rely hard for me sry

explennatien:

i dont no the anser im only 6 year old

how do i prove similarities of 2D shapes through sides

Answers

Answer:

i dont know hshshshsuojvw

Just pls give an answer ._.||

Answers

Answer:

I think the answer is C

Step-by-step explanation:

You will multiply the exponents, sorry if I am wrong!

Answer:

The anwser is C, if it is right, you should give Brainliest to the other person, if you can. They were quicker.

2. Do the equations zx + 2 = 6
and }(x + 2) = 6 represent the same situation?


Answers

Step-by-step explanation:

zx+2=6

x+2=6

x=6-2

x=4

If x is 4 then

4z+2=6

4z=6-2

4z=4

divide thru by 4

z=1

What is the value of this expression?

4(610−15)+0.4

Answers

2380.4 is the answer using PEMDAS

Answer:

Work the bracket first

610 - 15 = 595

multiply by 4

595 x 4 = 2380

add 0.4

final answer is 2380.4

Solve the equation 6x+7x−3x=13+7. Be sure to check your proposed solution by substituting it for the variable in the original equation.

Answers

Answer:

x=2

Step-by-step explanation:

6x+7x−3x=13+7

10x=20

x=20/10

x=2

Evaluate and reduce:
-12/16+(11/12)

Adding and subtracting

Answers

Answer:

The answer is 1/6

Step-by-step explanation:

-12/16 + (11/12)

-3/4 + 11/12

Take LCM

-3 × 6/4 × 6 + 11 × 2/12 × 2

-18/24 + 22/24

-18 + 22/24

4/24 = 1/6

Thus, The answer is 1/6

-TheUnknownScientist 72

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