Find the 9th term of the geometric sequence 9, -27, 81, ...

Answers

Answer 1

Answer:

59049

Step-by-step explanation:

nine times negative 3 8 times

Answer 2

Answer:

a₉ = 59049

Step-by-step explanation:

The nth term of a geometric sequence is

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

where a₁ is the first term and r the common ratio

Here a₁ = 9 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{-27}{9}[/tex] = - 3 , then

a₉ = 9 × [tex](-3)^{8}[/tex] = 9 × 6561 = 59049


Related Questions

There are 3 boxes. One of them contains gold.
In each box, there is a message, and one of them is true.
Box 1. "The gold is not in Box 2".
Box 2: "The gold is in this box".
Box 3: "The gold is not in this box".
Which box has the gold?

Answers

It is box 1
Box 2 does not because box 1 said box 3 said it has not box 1 hasnt said anything about its box

Since only one box contains gold, then the gold must be in Box 2.

Let's analyze the statements in each box:

Box 1 says, "The gold is not in Box 2." If this statement is true, it means the gold cannot be in Box 2.

Box 2 says, "The gold is in this box." If this statement is true, it means the gold must be in Box 2.

Box 3 says, "The gold is not in this box." If this statement is true, it means the gold cannot be in Box 3.

Now, let's consider the possibilities:

If Box 1 is true, then the gold is not in Box 2 (as stated in Box 1), and it is also not in Box 3 (since Box 3 would be false, and only one box contains the gold).

As per Box's 1 statement, the gold is not in Box 2.

If Box 3 is true, then the gold is not in Box 3 (as stated in Box 3), and it is also not in Box 2 (since Box 2 would be false, and only one box contains the gold).

Therefore, the gold must be in Box 1.

To learn more about the puzzle tests;

https://brainly.com/question/28681162

#SPJ3

Help
help please please

Answers

Answer:

1. A

2. C

Step-by-step explanation:

I could be wrong, that's my best guess. Im so sorry if im wrong, have a good day

Which fraction equals a repeating decimal 3/10 6/12 1/3 3/4

Answers

Answer:

1/3

Step-by-step explanation:

because 1/3 is 0.333333

Put the in order 7/16 1/2 3/8 9/32 5/16 15/32 ??? Put from greatest to least

Answers

1/2, 15/32, 7/16, 3/8, 5/16, 9/32 is the order from greatest to least
Least to greatest:
9/32, 5/16, 3/8, 7/16, 15/32, and 1/2

g(x)=23x+1; find g (-3), g (0),and f (9x+6)

Answers

Answer:

x= -1/23

Step-by-step explanation:

HELP PLSSS THIS IS HARD SOMEONEEE

Answers

Answer:

correct option is f(x,y) -----> ( -y,x) option 1.

Answer:

correct option is f(x,y) -----> ( -y,x) option 1.

Step-by-step explanation:

helppppppppppppppppp​

Answers

Hope this helps xoxoxoxo

Write equation in slope intercept from of the line

Answers

Answer:

y= 1/2x + 3

Step-by-step explanation:

good luck lmk if u have any more questions

Need help on the 2 questions ASAP and SHOW WORK PLEASE !!!! 50 points ????

Answers

Answer:

-4 - 8-=-4

Step-by-step explanation:

i will give brainliest please help
Please help. Point M is the mid-point of PQ. The coordinates of P and M are given below. M (5, -2) and P (11, -10) Based on the information given, what is the coordinates of Q?

Answers

Answer:

Q(-1 , 6)

Step-by-step explanation:

Midpoint M(5 , -2)

[tex]Midpoint = \left(\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2} \right)\\\\P(11 , -10) \ ; x_{1} = 11 \ & \ y_{1}=-10\\\\\left(\dfrac{11+x_{2}}{2},\dfrac{-10+y_{2}}{2}\right)= \left( 5 , -2 \right )\\\\\dfrac{11+x_{2}}{2}=5 \ ; \dfrac{-10+y_{2}}{2}=-2[/tex]

11 + x₂ = 10         ;  -10 + y₂ = -4

      x₂ = 10 - 11   ;      y₂ = - 4 + 10

      x₂ = -1          ;       y₂ = 6

Q(-1 , 6)

the coordinates of point Q is (-1,6)

PLEASEEEEE HEELP MEEEE DO THIS WORK THANK U!

Answers

Answer:

There are no solutions.

Step-by-step explanation:

Put it in an equation

x + 5 = x − 13

Let's solve your equation step-by-step.

x + 5 = x − 13

Step 1: Subtract x from both sides.

x + 5 − x = x − 13 − x

5 = − 13

Step 2: Subtract 5 from both sides.

5 − 5 = − 13 − 5

0 = − 18

Answer:

There are no solutions.

The equation of the cables for a suspension bridge is modeled by the equation
y-48 = 0.0025x2, in feet. How far is the lowest point of the cables above the bridge?
The lowest point of the cables is
feet above the bridge.

Answers

The lowest point of the cables above the bridge is 48 feet above the bridge.

The statement give us a parabola equation in standard form, the vertical distance of the lowest point above the bridge is determined by the y-coordinate of the vertex. Hence, the lowest point of the cables above the bridge is 48 feet above the bridge.

We kindly invite to check this question on parabolae: https://brainly.com/question/8495869

Express (2+3)
as a trinomial in simplest form,

Answers

Answer:

A trinomial is an algebraic equation composed of three terms and is normally of the form a[tex]x^{2}[/tex] + bx + c = 0, where a, b and c are numerical coefficients. The number “a” is called the leading coefficient and is not equal to zero (a≠0). For instance, x² − 4x + 7 and 3x + 4xy – 5y are examples of trinomials.

Step-by-step explanation:

Please recheck your question.

Rationalise the denominator of: -7/(√11 - √5)​

Answers

[tex] \sf \underline{ \red{Solution - }} \\ [/tex]

Given,

[tex] \sf{\quad { \dfrac{-7}{\sqrt{11} - \sqrt{5}} }} \\ [/tex]

The denominator is √11 - √5.

We know that

Rationalising factor of √a-√b is √a+√b.

Therefore, the rationalising factor of √11-√5 is √11+√5.

On rationalising the denominator them

[tex] \longrightarrow \sf{\quad { \dfrac{-7}{\sqrt{11} - \sqrt{5}} \times \dfrac{(\sqrt{11} + \sqrt{5})}{(\sqrt{11} + \sqrt{5})} }} \\ [/tex]

Multiplying (√11 + √5) with both the numerator of the fraction.

[tex] \longrightarrow \sf{\quad { \dfrac{-7(\sqrt{11} + \sqrt{5}) }{(\sqrt{11} - \sqrt{5})(\sqrt{11} + \sqrt{5})} }} \\ [/tex]

Performing multiplication in the numerator and by using identity (a + b)(a - b) = a² - b², solving further in the denominator.

[tex] \longrightarrow \sf{\quad { \dfrac{-7\sqrt{11} -7\sqrt{5}}{(\sqrt{11})^2 - (\sqrt{5})^2} }} \\ [/tex]

Writing the squares of the numbers in the denominator.

[tex] \longrightarrow \sf{\quad { \dfrac{-7\sqrt{11} -7\sqrt{5}}{11 -5} }} \\ [/tex]

Performing subtraction in the denominator.

[tex] \longrightarrow \quad \underline{ \boxed{ \dfrac{ \textbf{ \textsf{-7 }}\sqrt{ \textbf{ \textsf{11 }}} - \textbf{ \textsf{7}}\sqrt{ \textbf{ \textsf{5 }}}}{ \textbf{ \textsf{ 6}}}} } \\ [/tex]

Hence, the denominator is rationalised.

pls help me with this if you can

Answers

1) Let L = the larger # and S = the smaller #.

A large # is 5 more than twice a smaller #.....This gives Eq 1) L = 5 + 2S

Their sum is 80...This gives Eq 2) L + S = 80.

Substitute Eq 1) into Eq 2), you get

L + S = 80

5 + 2S + S = 80

3S = 75

S = 75 / 3 = 25

L = 5 + 2S

  = 5 + 2(25)

= 5 + 50

 = 55

-----------------------------------------------------------------------------------------------------------------

2) [-7,2)

- Vocabulary

· Interval

A set of values between two endpoints.

· Inequality

A mathematical expression which shows that two quantites are not equal.

Answer:

1) x = 25

2) 2(25)+5 = 55

-12<= x < 6

x <2 and x <= -7

Step-by-step explanation:

1) x

2) 2x + 5

x + 2x + 5 = 80

3x = 80 - 5

x = 75/3

x = 25

-24 <= 2x - 10

-24+10 <= 2x

-14/2 <= x

-7 <= x

2x -10< -6

2x < - 6 + 10

x < 4/2

x < 2

For brainily please help

Answers

Answer:

FH is the smallest side.

Step-by-step explanation:

This is called the relation between angles and sides where the smallest angle will have the smallest side opposite one another.

That means if measure G is the smallest then FH is the smallest side as FH is the opposite of measure G.

You can also say GH is the biggest or largest side since GH is opposite of measure F and measure F has the biggest angle.

So, FH is the smallest.

The shortest side is opposite to the smallest angle.
So FH is the correct answer.

Which of the following relations is a function?

O {(9,0), (10,3), (11, 6), (11, 9)}
O {(1, 1), (1, 2), (1, 3), (1,4)}
O {(1, 3), (2, 10), (6, 24), (24, 6)}
O {(0,6), (-1, 10), (-1, 14), (-3, 18)}

Answers

Answer:

O {(1, 3), (2, 10), (6, 24), (24, 6

What is the standard form of function f?


f(x)=4(x+6)+5


Substitute numerical values into the equation for a, b, and c.

Answers

Answer:

A = 4; B = -1 ; C = -29

Step-by-step explanation:

y = 4(x + 6) + 5

y = 4x + 24 +5

y = 4x + 29

Standard form: Ax + By = C

 4x - y = -29  

Answer:

Step-by-step explanation:

Hope this Helps ;)


A recent report found that a local creamery has a 35% market share in a certain region. Employees in the marketing
department of the creamery conduct a survey to confirm the results by randomly selecting 300 residents from the regon
The employees asked the question which brand of ice cream do you usually purchase to each resident Use a normal
approximation to calculate the probability that at most 80 of these people will choose the creamery's brand. Use a T1-83,
83 plus, or T-34 calculator to find the probability
- Round your answer to four decimal places


Answers

Using the normal approximation to the binomial, it is found that there is a 0.0015 = 0.15% probability that at most 80 of these people will choose the creamery's brand.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex].

In this problem:

35% market share, hence [tex]p = 0.35[/tex].300 residents are surveyed, hence [tex]n = 300[/tex].

The mean and the standard deviation are given by:

[tex]\mu = np = 300(0.35) = 105[/tex]

[tex]\sigma = \sqrt{np(1-p)} = \sqrt{300(0.35)(0.65)} = 8.26[/tex]

Using continuity correction, the probability that at most 80 of these people will choose the creamery's brand is [tex]P(X \leq 80 + 0.5) = P(X \leq 80.5)[/tex], which is the p-value of Z when X = 80.5, thus:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{80.5 - 105}{8.26}[/tex]

[tex]Z = -2.97[/tex]

[tex]Z = -2.97[/tex] has a p-value of 0.0015.

0.0015 = 0.15% probability that at most 80 of these people will choose the creamery's brand.

A similar problem is given at https://brainly.com/question/25298431

A line with a slope of 2 passes through the point (-8, 2). What is its equation in
point-slope form?

Answers

Hello!

y-y1=m(x-x1)

y-2=2(x-(-8)

y-2=2(x+8)

And that's our equation in point-slope form. Hope this helps!

~Just a joyful teen

[tex]SilentNature\\(GraceRosalia)[/tex]

Miss Weight's recipe for Soup calls for
1 1/4 teaspoons of salt. She wants to
use 1/2
that amount. How much salt
Will she use?

Answers

Answer: 5/8 of a teaspoon of salt

Step-by-step explanation:

half of 1 is 1/2 or 4/8

half of 1/4 is 1/8

4/8 + 1/8 = 5/8

how do i do it?can someone help

Answers

Answer:

2

Step-by-step explanation:

(4/3)^10 * (3/4)^6

Here lefts (4/3)^4

Arrange the following in descending order: 1/5,3/7,7/10

Answers

Answer:

7/10 - 3/7 - 1/5

Step-by-step explanation:

3/7-7/10-1/5

Step-by-step explanation:

Find the slope of the line that passes through (10,10) and (1,2)

Answers

Answer:

8/9

Step-by-step explanation:

[tex]m = \frac{10 - 2}{10 - 1} = \frac{8}{9} [/tex]

The price of a television was reduced from $2000 to $1400. By what
percentage was the television reduced?

Answers

Answer:

30%

Step-by-step explanation:

2000-----100%

1400------x%

x=(1400×100)÷2000

X=70%

final we go 100%-70%=30%

Television price reduced for 30%

Multiply.5/9 3/10 Express your answer in the simplest form.



1 23/27 15/90 1/4 1/6

Answers

Step-by-step explanation:

5/9×3/10= 15/90 simplification is 1/6

the correct is 1/6

Answer:

The 4th answer is correct

Step-by-step explanation:

[tex]\frac{5}{9} *\frac{3}{10} \\\\[/tex]

[tex]\frac{5*3}{9*10}[/tex]

[tex]\frac{15}{90}[/tex]

Now you can make the answer as the simplest form divide both sides by 15

[tex]\frac{15}{90} =\frac{1}{6}[/tex]

ANSWER IS,

[tex]\frac{1}{6}[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

6) Which numbers are irrational?
7.27, 5/9, square root of 15 , square root of 196

Answers

Answer:

The square route of 15 is irrational

A shipment of sugar fills 2 4/5 containers. If each container holds 2 3/7 tons of sugar, what is the amount of sugar in the entire shipment?
Write your answer as a mixed number in simplest form.

Answers

Answer:

6 4/5 tons

Step-by-step explanation:

Multiply the number of containers by the amount in each to find the total amount of sugar:

2 4/5 * 2 3/7 = 14/5 * 17/7 = 2*17/5 =34/5 = 6 4/5


Betty was charged 15 1/2% interest for the year
on her loan of £2 400. James was charged 12% interest for the year on his loan of £4 000.
How much more interest did James pay for the
year?
HELP PLEASE

Answers

Answer: James was charged with $180 more for the year that Betty

Step-by-step explanation: So I dont know how your money currency  works sorry, also Ive never done this kind of math problem so I dont know if its right

Select the correct answer. What is the slope of the line that goes through the points (-4,1) and (4,-5)?

A. -4/3

B. -3/4

C. 3/4

D. 4/3​

Answers

Answer:

b

Step-by-step explanation:

edge2020

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