The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
6, 18, 54, ...
Find the 9th term.

Answers

Answer 1

Answer:

19683

Step-by-step explanation:

1. find the ratio

this is geometric so..

54÷18=3

18÷6=3

2. set up the problem

3(3)^9-1

3^8= 6561

6561(3)=19683

Answer 2

The 9th term of a sequence is 39, 366.

What is Geometric Progression?

In mathematics, a sequence known as a geometric progression (GP) is one in which each following term is generated by multiplying each preceding term by a constant integer, known as a common ratio. This progression is sometimes referred to as a pattern-following geometric sequence of numbers.

We have the series: 6, 18, 54, ...

as, the series in Geometric Progression.

So, the common ratio = 18/6 = 3

and, 54/ 18= 3

Using the formula

[tex]a_n[/tex] = a[tex]r^{n-1[/tex]

So, for n= 9

[tex]a_9[/tex] = a[tex]r^{9-1[/tex]

[tex]a_9[/tex] = a[tex]r^{8[/tex]

[tex]a_9[/tex] = 6 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3

[tex]a_9[/tex] = 39,336

Learn more about geometric Progression here:

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Related Questions

Can someone help me pls pls help with this question

Answers

Answer:

D.

Step-by-step explanation:

The mean is 11,000

can you please answer these four questions​
the other answer is 6 8 /11

Answers

Answer:

First question: C. 20 7/12

Second question: B. 242

Third question: D. 4.8

Fourth Question: C. 2 5/18

Step-by-step explanation:

Answer:

20 7/12

Step-by-step explanation:

=6 1/2 + 4 2/3 + 9 5/12

=19 19/12

=19 + 1 7/12

=20 7/12

A surveyor asks people whether or not they support their senator's vote on a bill. Choose the type of data that is collected. Group of answer choices quantitative qualitative neither quantitative nor qualitative Not enough information is given

Answers

Answer:

Quantitative data

Step-by-step explanation:

The type of data collected when a surveyor asks people whether or not they support their senator's vote on a bill is "quantitative data."

Quantitative data is a type of research data that can be calculated, measured, and formulated using numbers. It is derived using quantitative research, which allows the researcher to gather and analyze data.

Hence, in this case, the surveyors will gather the data based on two groups, those that support the senator's bill and those against it. He will then compare the quantitative numbers gotten from each group.

Solve for x. Assume that lines which appear tangent are tangent.

CAN YALL HELP ME ASAP

Answers

Answer:

48

Step-by-step explanation:

By intersecting tangent and secant theorem:

[tex]27(27 + x) = {45}^{2} \\ 729 + 27x = 2025 \\ 27x = 2025 - 729 \\ 27x = 1296 \\ x = \frac{1296}{27} \\ x = 48[/tex]

Yes the answer is 48.

Round 27346 to 2 significant figures i need a step by step expansion

Answers

Answer:

27000

Step-by-step explanation:

We want to round 27346 to 2 significant figures.

Now, the number already has 5 significant figures, so to reduce it to 2 sig figures, we will have to reduce the 3 digits from the right to zero so that we can have just 2 significant figures by approximating.

Thus, 3 is less than 5 and so 7 cannot increase. Thus, we will have 27000 as the number when reduced to 2 significant figures.

Emiko makes shibori scarves and sells them for 48 each on a website for hand made goods the expression 48s represents the total price of buying s scarves.

Answers

Answer:

Step-by-step explanation:

true

1. number of scarves

2. price per scarf

Step-by-step explanation:

multiply 9 with 3.4? what will be the answer
PLEASE HELP ME FAST

Answers

[tex]\boxed{30.6}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]9 \times 3.4 \\ = 30.6[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

write each verbal phrase as an algebraic expression.
1. the sum of 8 and t
2. the quotient of g and 15
3. the product of 5 and b
4. the difference of 32 and x

Answers

Answer:

1. 8 + t

2. g/15

3. 5b

4. 32 - x

Step-by-step explanation:

1. the sum of 8 and t

8 + t

2. the quotient of g and 15

g/15

3. the product of 5 and b

5b

4. the difference of 32 and x

32 - x

Solve the problem. An experiment consists of randomly choosing a number between 1 and 10. Let E be the event that the number chosen is even. Assuming that each of the numbers between 1 and 10 is equally likely to be chosen, find P(E).
A) .5
B) .8
C) .1
D) .2

Answers

Answer:

A.

Step-by-step explanation:

1. the required probablilty is: P=(number_of_even_numbers)/(number_of_all_the_numbers);

2. according the condition the number of all the numbers is 10; the number of even numbers is 5 (they are: 2; 4; 6; 8; 10), then

3. P=5/10=0.5 (option 'A').

Warner was paid $375.25 for working 25 hours. What was his hourly pay?

Answers

Answer:

$15.01 an hour

Step-by-step explanation:

[tex]\frac{375.25}{25}=15.01[/tex]

Gina types 150 words in 3 minutes. Linda types 80 words in 2 minutes. How much
longer would Linda take to type 8 pages that contain 500 words on each page?​
full working

Answers

Answer:

20 minutes

Step-by-step explanation:

It would take 20 minutes longer for Linda to type 8 pages that contain 500 words on each page.

need it asap please!!!!

Answers

the answer is 0 & 0 is a rational number. so the answer is rational.

Answer:

they are rational numbers

What is the y-value when x = 8?
14
12
10
8
2.
0 2 4 6 8 10 12 14
2 6

Answers

Answer:

4

Step-by-step explanation:

go on the x-axis where you see 8

go up until you get to the line

go toward the y-axis to the left and read ( it said 4)

Write a recursive rule for -3, -1, 2,6,11

Answers

Answer:

números enteros que comprende a los positivos y negativos

A band of 17 pirates stole a sack of gold coins. When they tried to divide the fortune into equal portions, 3 coins remained. In the ensuing brawl over who should get the extra coins, one pirate was killed. The wealth was redistributed, but this time an equal division left 10 coins. Again an argument developed in which another pirate was killed. But now the total fortune was evenly distributed among the survivors. What was the least number of coins that could have been stolen

Answers

Answer:

The least number of coins that could have been stolen is 3,930.

Step-by-step explanation:

In the beginning, there are N coins to be distributed among 17 pirates, and we know that if we divide evenly these coins, there are 3 coins remaining.

Then we can write the total number of coins as a multiple of 17 plus 3.

N = 17*k + 3

where k is an integer.

After that, a pirate is killed, so now we have 16 pirates, and now there are 10 coins left, so now we can write N as a multiple of 16 plus 10:

N = 16*j + 10

where j is an integer.

Finally, having 15 pirates, the total number of coins can be divided evenly, then N is a multiple of 15

N = 15*m

where m is an integer.

So we have these 3 equations:

N = 17*k + 3

N = 16*j + 10

N = 15*m

So we can express equations like:

15*m = 16*j + 10

15*m = 17*k + 3

Where we need to find solutions such that both of these variables are integers.

For the first one we can write:

15*m - 16*j = 10

One way to do it, is to write this like a linear equation:

m = (16*j + 10)/15

Graph this, and find the pairs of points in the line that have bot integer values, or we can just find some values of j such that:

16*j + 10 is a multiple of 15.

For example, with j = 5 we have:

m = (16*5 + 10)/15 = 6

so j = 5 and m = 6 is a possible solution.

Now if we use m = 6 in the other equation:

15*m = 17*k + 3

we can see if k is also an integer:

k = (15*m - 3)/17

replacing m by 6:

k = (15*6 - 3)/17 = 5.1

This solution does not work.

Let's find others:

if j = 20  (at this point we already know that the possible values of j "jump" by 15 units, like 5 + 15 = 20) then:

m = (16*20 + 10)/15 = 22

Then:

j = 20 and  m = 22 is another solution.

Same as before, let's use m = 22 in the equation for k:

k = (15*22 - 3)/17 = 19.2

Let's find another solution for m.

if  j = 35

m = (16*35 + 10)/15 = 38

Using this value of m in the k equation we get:

k = (15*35 - 3)/17 = 33.4

Let's find another solution for m.

if we take j = 50 we get:

m = (15*50 + 10)/15 = 54

Using this in the k equation we get:

k = (15*54 - 3)/17 = 47.5

Eventually, for j = 5  + 15*16 = 245 we get:  (arrived by iteration, just try each time using the previous value of j plus 15)

m = (16*245 + 10)/15 = 262

replacing this in the k equation we can find:

k = (15*262 - 3)/17 = 231.

So the first solution is:

j = 245, m = 262, k = 231

Then:

N = 262*15 = 3,930

The least number of coins that could have been stolen is 3,930.

FREE BRANLEIST URGENT WITH EQUATION!! WILL REPORT AND GET BANNED IF LINKS AND INCORRECT ANSWERS

Answers

Answer:

ok so a it' probabily 21 or a number between 1-10

Step-by-step explanation:

Answer:

q.10 142 degree

q.11 x=11

q.12 complementary angles

Lines A and B are parallel
A
1/2
3/125°
B
5/6
7/8
m 6 = [ ?] ​

Answers

Answer:   55

==============================================

The 125 degree angle and angle 6 are supplementary. This is because of the same side interior angles theorem.

Let x be the measure of angle 6. Add this to 125, set the sum equal to 180, and solve for x.

x+125 = 180

x = 180-125

x = 55

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

Or you could approach it this way:

y = measure of angle 2

y+125 = 180

y = 55

angle 6 = angle 2 (corresponding angles)

angle 6 = 55 degrees

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

Yet another way you could solve:

z = measure of angle 3

z+125 = 180

z = 55

angle 6 = angle 3 (alternate interior angles)

angle 6 = 55 degrees

A similar approach using alternate interior angles would involve angle 5 = 125, and then noticing that x+125 = 180 solves to x = 55

In circle C with mZBCD = 106 and BC = 6 units find area of sector BCD.
Round to the nearest hundredth.
D
с
B

Answers

Answer:

33.30 units²

Step-by-step explanation:

Central angle = m<BCD = 106°

Radius (r) = 6 units

Area of sector BCD = central angle/360° × πr²

Plug in the values into the formula

Area of sector BCD = 106/360 × π × 6²

Area of sector BCD = 106/360 × π × 36

Area of sector BCD = 33.3008821

Area of sector BCD = 33.30 units² (nearest hundredth)

Make an equation that is equal to 2/3

Answers

Answer:

Replace the 4 with a 3 to make the equation true

8/12 you can put 8 in the first box and make 8 times 1 = 8 and make the second box 12 the 8 in the first box would be put over 1 so it can multiply. When rounded down you are left with 2/3


Determine the mode of the following data set:
-- 3, 12, 5, 12, 11, 2, 3, 10, 7, 6, 1, 4
a. 12
b. 3 and 12
c. no mode
d. 5

Answers

Step-by-step explanation:

3 AND 12 MAY BE

HOPE IT HELP U ...

please help thx 7th grade

Answers

Answer:

All of them except a trapezoid

Step-by-step explanation:

The playground has two pairs of sides that are congruent to each other (70 = 70, 50 = 50), but a trapezoid only has ONE pair of sides that are congruent to each other; the other two are not the same. Therefore, this playground can be any shape besides a trapezoid.

All but not the trapezoid :)

PLEASE PLEASE HELP ME Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each quadratic equation with its solution set.

Answers

Answer:

solution below

Step-by-step explanation:

quadratic formula (note the + before the radical is ±)

[tex]\frac{-b+\sqrt{b^2-4*a*c}}{2a}}[/tex]

Let's plug in the numbers and simply for the first one

[tex]\frac{-(-8)+\sqrt{-8^2-4*2*5}}{2*2}}=\frac{8+\sqrt{24}}{4}}[/tex]

this simplies to

[tex]\frac{8+2\sqrt{6}}{4}=\frac{4+\sqrt{6}}{2}[/tex]

Do this same process with all the other ones

△JKL has vertices at J(−2, 4), K(1, 6), and L(4, 4). Determine whether △JKL is a right triangle

Answers

Answer:

Not a right triangle

Obtuse isosceles triangle.

Sides: J = 3.606   K = 6   L = 3.606

Step-by-step explanation:

hope helps you

have a nice day

The zeros of a parabola are 6 and -5. If (-1, 3) is a point on the graph, which equation can be solved to find the
value of a in the equation of the parabola?
O3 = a(-1 + 6)-1-5)
O 3 = a(-1-6)(-1 +5)
O -1 = a(3+6)(3-5)
O-1 = a(3-6)(3+5)

Answers

Answer:

3 = a(-1-6)(-1+5).

Step-by-step explanation:

y = a(x - 6)(x + 5)

When x = -1, y = 3 so we have:

3 = a(-1-6)(-1+5).

Find the quotient of z1 by z2. .Express your answer in trigonometric form.

Answers

Answer:

[tex]\frac{z_1}{z_2} = 3(cos(240^o) + isin(240^o))[/tex]

Step-by-step explanation:

Given

[tex]z1 = 12(cos(320^o) + isin(320^o))[/tex]

[tex]z2 = 4(cos(80^o) + isin(80^o))[/tex]

Required

[tex]Quotient = \frac{z_1}{z_2}[/tex]

We have:

[tex]Quotient = \frac{12(cos(320^o) + isin(320^o))}{4(cos(80^o) + isin(80^o))}[/tex]

Divide 12 by 4

[tex]Quotient = \frac{3(cos(320^o) + isin(320^o))}{(cos(80^o) + isin(80^o))}[/tex]

Solve using the following rule:

[tex]\frac{(cos(a) + isin(a))}{(cos(b) + isin(b))} = \cos(a - b) + isin(a - b)[/tex]

So, we have:

[tex]Quotient = \frac{3(cos(320^o) + isin(320^o))}{(cos(80^o) + isin(80^o))}[/tex]

[tex]Quotient = 3(cos(320^o-80^o) + isin(320^o-80^o))[/tex]

[tex]Quotient = 3(cos(240^o) + isin(240^o))[/tex]

Hence:

[tex]\frac{z_1}{z_2} = 3(cos(240^o) + isin(240^o))[/tex]

In parallelogram ABCD shown, point E and F are located on diagonal BD and point G is located on side AB such that GE and CF are perpendicular to BD. Prove: trainge BEG is similar to traingle DFC​

Answers

Answer:

Match the Statement number with the Reason number.

Step-by-step explanation:

Statements:

1.GE is perpendicular to BD

CF is perpendicular to BD

2. Angle GED equal 90

Angle DFC equal 90

3. Angle GED is congruent to Angle DFC

4. Angle GBE is congruent to Angle FDC

5. Triangle BEG is similar to DFC

Reasons:

1.Given

2. Definition of perpendicular lines

3. Transitive property

4. Alternate Interior Angles

5. AA Similarity

By satisfying essential conditions for two triangles to be similar, we can say that triangle BEG is similar to triangle DFC.

What is a parallelogram?

A quadrilateral in which opposites sides are equal and parallel. Also, opposite angles are equal to each other.

As we know that AB║ DC

so,∠GBE = ∠CDF (alternate angles)

∠GEB= ∠DFC = 90°

so triangle BEG≈DFC​

Therefore, we can say that triangle BEG is similar to triangle DFC

to get more about parallelograms visit:

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PLS HELP
a) What is the equation of line A

b) What is the equation of line B

Answers

The equation of line A : y = 4
The equation of line B : x = 8

Answer:

The equation of a line A:x=4The equation of a line B:y=8

Step-by-step explanation:

i hope this helps u have a nice day .

what degree of rotation about the origin will cause the triangle below to map onto itslef

Answers

Answer:

[tex]360^o[/tex]

Step-by-step explanation:

Given

The attached plot

Required

Which degree maps the triangle onto itself

The degrees that can map a point, line, or shape onto itself are:

[tex]\theta=360,720,1080,1440, 1800, 2160, 2520, 2880, 3240, 3600[/tex]

i.e. multiples of 360

Looking at the given options

[tex](a)\ 360^o[/tex] is correct because it can be found in the listed multiples

In other words, it will map point [tex](x,y)[/tex] to point [tex](x,y)[/tex]

PLEASE HELPPPP MEEEEE, JUSTFIY PLZZ​

Answers

Answer:

a. Unsure

b. True

c. Unsure

d. True

A - False

B - True

C- False

D- True

if a bag of rice weighs 55 kg find the weight of 123 bags of rice​

Answers

Answer:

6765

Step-by-step explanation:

the answer is 6765

Answer: 6,765 kg

Step-by-step explanation:

55 x 123 = 6,765kg of Rice

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