Find the 8th term of the geometric sequence –4, 12, –36, 108, –324,

Answers

Answer 1

Answer:

pls mark me as brainliest

Step-by-step explanation:

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by

3

gives the next term. In other words,

a

n

=

a

1

r

n

1

.

Geometric Sequence:

r

=

3

This is the form of a geometric sequence.

a

n

=

a

1

r

n

1

Substitute in the values of

a

1

=

4

and

r

=

3

.

a

n

=

(

4

)

(

3

)

n

1

Remove parentheses.

a

n

=

4

3

n

1

Substitute in the value of

n

to find the

n

th term.

a

8

=

4

3

(

8

)

1

Subtract

1

from

8

.

a

8

=

4

3

7

Raise

3

to the power of

7

.

a

8

=

4

2187

Multiply

4

by

2187

.

a

8

=

8748


Related Questions

HELP ASAP HELP ASAP HELP ASAP HELP ASAP

Answers

it’s the second, the penultimate and the last one :)

3(2 + x)
x + 2x + 2 + 4
x + x + x + 1 + 1 + 1 + 1 + 1 + 1
It’s the second answer, I took the test and got it correct

Brenda is buying a computer monitor that is 25 centimeters tall and has a distance of 65
centimeters between opposite corners. What is the width of Brenda's new monitor?
centimeters

Answers

Answer:

60 cm

Step-by-step explanation:

Use Pythagorean.

The width and height are the legs and the diagonal is the hypotenuse of the right triangle.

[tex]w = \sqrt{d^2-h^2}[/tex][tex]w = \sqrt{65^2-25^2} =\sqrt{4225-625} =\sqrt{3600} =60[/tex]

Look at the diagram and apply Pythagorean theorem

[tex]\\ \tt\hookrightarrow x^2=65^2-25^2[/tex]

[tex]\\ \tt\hookrightarrow x^2=4225-625[/tex]

[tex]\\ \tt\hookrightarrow x^2=3600[/tex]

[tex]\\ \tt\hookrightarrow x=60cm[/tex]


What is the ratio of 5 to 9?

Answers

Answer:

5:9 or 5/9

Step-by-step explanation:

A ratio between two (or more) numbers can be written in two (common...) forms, in this case:

5:9

and

5/9

Answer:

To simplify the ratio 5:9, we find the greatest common divisor of 5 and 9, and then we divide 5 and 9 by the greatest common divisor. Or if you want to know if its equivalent you would be able to divide evenly by the same number for both for example, 15:27 are equivalent since they both can be divided by themselves three times

Step-by-step explanation:

Please help find area ​

Answers

Answer:

28.26 m^2

Step-by-step explanation:

Given that the area of a circle is [tex]\pi r^2[/tex], we have to plug in the value of the radius and simplify. The radius is half the diameter, which is a line that splits the circle into halves. Thus, the radius here is 3. 3^2 is 9, and we can shorten pi to 3.14. 3.14 x 9 is 28.26, so the area of the circle is 28.26 m^2.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Solve for x.
50 = x - (-14)

Answers

Answer:

x = 36

Step-by-step explanation:

Multiply the numbers

50 = x -1 (-14)

50 = x + 14

Subtract 14 from both sides of the equation

50 = x + 14

50 - 14 = x + 14 - 14

Simplify

x = 36

[RevyBreeze]

can someone help me with this math problem?

Answers

Step-by-step explanation:

Sum of the interior angles is (180)(8-2)=1080.

so 119+140+124+6x+132+132+102+6x=1080

from here just solve for x

Robin dropped a lacrosse ball from a building. After each bounce the height of the ball is measured and recorded in the table. What is the height of the ball after bounce 7?

Answers

Answer:

2.5 cm

Step-by-step explanation:

From the first 4 bounces, we find that the height of the lacrosse ball after each bounce is 1/4 the height that it was after the previous bounce. Therefore, since the 7th bounce is 6 bounces after the first bounce, we can set up an equation to find the balls height (y), after some number of bounces after the first one:

[tex]y=10240*(\frac{1}{4})^x[/tex].

Plug-in 6 for x to get 2.5.

Hope this helps :)

help pls I have ask this one so many time and so many time I have gotten the wrong answer can some pls help me?

Answers

Answer:

52pi

Step-by-step explanation:

You need the area of the large grey circle, minus the white circle, plus the small grey

Large grey = 8^2 * pi = 64pi

White = 4^2 * pi = 16pi

Small grey = 2^2 * pi = 4pi

64pi - 16pi = 48pi, 48pi + 4pi = 52pi

Which expressions below equal an irrational number? Choose all that apply.

Answers

Answer:

see below

Step-by-step explanation:

An irrational number is a real number that cannot be written as a simple fraction.  (Irrational means not rational).

0.2476931 + 12.4139 = 12.6615931   irrational

1/√3  x  √3/√10 = √3 / √30 = √10 / 10  irrational

243/3 - 16/6 = 486/6 - 16/6 = 470/6 = 235/3  rational

∛21 x 3 = 8.276772529  irrational

(√9 + √6) - (4 - √6) = 3 +2√6 - 4 = -1 + 2√6 = irrational

How to solve these 3 problems

Answers

Answer:

a. decay; b. growth; c. decay; d. neitherr = 4; a = 1; y = 1·4^xa. an = 3(5^(n-1)); b. f(x) = (3/5)(5^x); c. exponential growth; d. y-intercept: 3/5; first term: 3.

Step-by-step explanation:

There are two kinds of exponential problems here.

exponential functions of the form f(x) = a·b^xexponential sequences of the explicit form an = a1·r^(n-1)

The second problem gives you a table that suggests the sequence form, but it asks for the exponential function form. The third problem does something similar.

__

1.

In an exponential function of the form f(x) = a·b^x, the function grows if b>1 and decays if b<1. Using this check, we can easily answer ...

  a. 0.4 < 1 . . . decay

  b. 1.3 > 1 . . . growth

  c. 1/2 < 1 . . . decay

  d. 1 = 1 . . . neither growth nor decay; the function is constant: j(x) = 1.

__

2.

The value of x is given starting at 1, so we can consider this a geometric sequence. The common ratio is r = 16/4 = 4. The first term is a1 = 4, so the explicit formula for the sequence is ...

  an = 4·4^(n-1)

When this is expanded to get rid of the constant in the exponent, we have ...

  an = 4·(4^n)·(4^-1) = 1·4^n

We recognize this form as matching the functional form f(x) = a·r^x. The multiplier of the exponential factor is a=1. In summary, ...

  r = 4; a = 1; f(x) = 1·4^x

__

3.

The first term of this geometric sequence is a1 = 3. The common ratio is r = 15/3 = 5. Using the explicit formula, we have ...

 a. explicit form: an = 3·5^(n-1)

Using the method of question 2 to write the functional form, we find ...

  an = 3(5^n)(5^-1) = (3/5)(5^n)

  b. functional form: f(x) = (3/5)(5^x)

  c. function family: exponential growth functions

 d. y-intercept: (3/5) . . . . read this from the f(x) form

     1st term: the first term listed in the given sequence is 3

_____

Additional comment

The "y-intercept" of a sequence is irrelevant (undefined), as the sequence term numbering starts with 1, not 0. The domain of the explicit formula is natural numbers, which does not include 0.

Similarly, the "first term" of a function f(x) needs further definition. Here, we've answered the question by saying the first term is f(1). There is no conventional definition of a "first term" for a continuous function.

help someone marking brainliest

Answers

Answer:

take the equation and search it is 1828281'9292

Write the times of four trains as 12 hr. clock
a. 14:32
b. 16:30
c. 06:45
d. 10:29

Answers

Answer:

a 2:32

b 4:30

c 6:45

d 10:29

Round 5,099.620 to the nearest hundred place

Answers

Answers and Step-by-step explanations:

When rounding, you should always look at the placement behind what you are trying to round to. So instead of looking at the hundred's placement, which is 0, we need to look at the ten's placement.

(Important:) When rounding, you should always remember that if a number is 1 - 4 when rounding, it does not round up the the next placement. If a number is 5 - 9, then it gets rounded to the next placement.

Hundred's placement: The 9 in the ten's spot (5,0[9]9.620) is on the 5 - 9 scale, so the hundred's placement rounds up to the next number.

5,100.620

Hundredth's placement: Anytime that the "th" is at the end of a word like "hundred" in rounding, it means to go behind (or to the right of) the decimal point. So, 2 falls into the 1 - 4 scale, so it doesn't get rounded.

5,099.600 (or 5,100.600 because of the answer earlier.)

I hope this helps.

X+4Y=-8
find the x intercept:
find the y intercept:
graph the line.

Answers

Answer:

x-intercept = (-8, 0)

y-intercept = (0, -2)

Step-by-step explanation:

Given linear equation is: x + 4y = - 8

For x - intercept: Plug y = 0 in the above equation.

[tex]\implies x +4(0) = -8\\\\\implies x +0 =-8\\\\ \implies x = -8\\\\ \boxed{\red{\bold{\implies x- intercept = (-8,\:0)}}}[/tex]

For y - intercept: Plug x = 0 in the given linear equation.

[tex]\implies 0 +4y = -8\\\\\implies 4y=-8\\\\ \implies y = \frac{-8}{4}\\\\ \implies y = -2\\\\ \boxed{\purple{\bold{\implies y- intercept = (0,\:-2)}}}[/tex]

What is the minimum value for the function shown in the graph? Enter your answer in the box. A sinusoid function graphed on a coordinate plane. The horizontal x-axis ranges from negative 3 pi to 3 pi in increments of pi over 2. The vertical y-axis ranges from negative 7 to 1 in increments of 0.5. The function begins at begin ordered pair negative 3 pi comma negative 5.5 end ordered pair and increases in increments of pi over 2 until reaching begin ordered pair 3 pi comma negative 5.5 end ordered pair. The function begins at begin ordered pair negative 3 pi comma negative 5.5 end ordered pair and decreases to a minimum value of begin ordered pair negative 5 pi over 2 comma negative 6 end ordered pair. The graph then increases to a maximum value of begin ordered pair negative 3 pi over 2 comma negative 5 end ordered pair and decreases to a minimum value of begin ordered pair negative pi over 2 comma negative 6 end ordered pair. The graph then increases to a maximum value of begin ordered pair pi over 2 comma negative 5 end ordered pair and decreases to a minimum value of begin ordered pair 3 pi over 2 comma negative 6 end ordered pair. The graph then increases to a maximum value of begin ordered pair 5 pi over 2 comma negative 5 end ordered pair and decreases to a minimum value of begin ordered pair 3 pi comma negative 6 end ordered pair.

Answers

The sinusoidal function graph has a period of 2·π and a minimum point

with coordinates (-0.5·n·π, -6) where n = -5, -1, 3, ...

Response:

The minimum value of the function is -6

How to find the minimum value of a function?

The minimum value of a function is the lowest vertex value of the

function.

The given graph description, is the graph of the following function;

f(t) = 0.5·sin(t) - 5.5

The minimum value is given at the location where, sin(t) = -1, which gives;

f(t) = 0.5 × (-1) - 5.5 = -6

The minimum value of the function is therefore;

f(t) = -6

Learn more about the graphs of functions here:

https://brainly.com/question/26254100

If the equation is solved, which is true?


If -2 - v = 16, then v = 14.0

If -2 + v = 16, then v = 18.0

If -2 + v = 16, then v = 14

If v + -2 = 16, then v = -8

I don't know yet

Answers

Answer:

second option is true:

-2 + v = 16

Step-by-step explanation:

do them all:

-2 - v = 16

-v = 18;   v = -18   (NOT 14)  FALSE

-2 + v = 16

v = 18  TRUE

-2 + v = 16

v = 18    (NOT 14)  FALSE

v + (-2) = 16

v = 18   (NOT -8)    FALSE

Anyone know how to figure this out?

Answers

Answer:

  (a) f(x) = 110x -x^2

  (b) $55

Step-by-step explanation:

(a)

You figure out part (a) by following directions. Multiply (110 -x) by x. Use the distributive property to simplify it:

  f(x) = 110x -x^2

__

(b)

You know that the vertex of a parabola is on the line of symmetry, and that any two points with the same y-value are located symmetrically about that line. The function f(x) = x(110 -x) is zero for x=0 and for x=110. The vertex (maximum) of the function will be located halfway between these values, at ...

  x = (0 +110)/2 = 55

She should charge $55 to maximize her revenue.

evaluate the expression c+20

Answers

u can’t evaluate- lol

can someone please help with my math :I !!

Answers

Answer:

go to the right 2 and up 6

Step-by-step explanation:


Complete the statement: If 8 = m/4, then
m - 12= Explain

Answers

Answer:

m=2

Step-by-step explanation:

4x2= 8 and so 8= 2/4

then m-12= so if your going based on the first scenario it's 2-12=10.

brainliest for correct answer

Answers

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The formula for calculating the slope is [tex]\frac{y_{1}-y_{2} }{x_{1}-x_{2}}[/tex].

We can use the two points (-8,0) and (-6,1). We can now substitute and solve the equation.

[tex]\frac{1-0}{-6-(-8)}=\frac{1}{2}[/tex]

Express the fractions as equivalent decimals.5/25

Answers

Answer:

0.2

Step-by-step explanation:

5 divided by 5 is 1

25 divided by 5 is 5

1/5 is the same as 1 divded by 5

=0.02

Answer:

th5

Step-by-step explanation:

e answer is 5

udeeeeee5t is the most

A car accelerates from 25 km/hr in 30 seconds what is the acceleration

Answers

The acceleration is 5/6
(Im not that sure bout it tho)

20 POINTS and BRAINLY!!
Two companies are selling boxes of candy. The pieces of candy you get from Company A is represented by the table below. The pieces of candy you get from Company B is represented by and equation, with y representing the total number of pieces for X boxes. Find the Total number of pieces you would get from buying 18 boxes of candy from the company with the fewest pieces per box.

⚠Warning!⚠ If you enter a ton of gibberish (Example: hvdfhldwvfvi;yrguyegriyfb) Just for my points, I will report you and every answer you have ever answer, so please try to answer with words, don't be greedy, please!

Answers

Answer:

396

Step-by-step explanation:

Which two values of x are roots of the polynomial below?
x2 + 5x + 11

Answers

answer

[tex] \frac{ - 5 + \sqrt{19} }{2} = - 0.321[/tex]

[tex] \frac{ - 5 - \sqrt{19} }{2} = - 4.679[/tex]

-0.321 and - 4.679 s.w z

Fill in the missing digit to make the number divisible by
6.   234,56 ____   (2)
7.   389,57_____    (5)
8.   630,62 ______(10)
9.. 611,81_______ (3)
10. 525.43 _____ (9)

Answers

Answer:

Step-by-step explanation:

6. 0 ,234,560 is divisible by 2.

7. 389,570 is divisible by 5.

8. 630,620 is divisible by 10.

9. 6+1+1+8+1=17 +(1)

   611,811 is divisible by 3.

10. 5+2+5+4+3=19

multiple of 9 are 9,18,27,...

to make the sum 27 we have to add 8 to 19.

525,438 is divisible by 8.

Mr. Mason spent 25 of class time on test review. What fraction of class time was not spent on test review?
Write with a fraction pla

Answers

Answer:

3/5

Step-by-step explanation:

If Mr Mason spent 2/5 of class time on a test review, then he will spend:

1 - 2/5 = 5/5 - 2/5 = 3/5 of class time NOT on the test review

Answer:

[tex]\frac{3}{5}[/tex]

Thinking behind the answer:

[] Let's say that the total class time is 5/5, or equal to one. This one represents the whole class period.

[] Now, if 2/5 of that class time are spent on test review, whatever chunk of class that's left is not spent on test review.

[] We can use subtraction to find our answer.

Step-by-step explanation:

[tex]\frac{5}{5}-\frac{2}{5}=\frac{3}{5}[/tex]

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

The radius of a circle is 8 feet. What is the circle's area?

Answers

Answer:

A=πr2=π·82≈201.06193ft²

Answer:

Step-by-step explanation:

r = 8

pi = 3.14

Area = pi * r^2

Area = pi * r * r               That's what the 2 means.

Area = 3.14 * 8 * 8

Area = 200.96 square feet

Why would bankruptcy make owning a car more expensive?
A. It causes a loss of assets.
B. It increases the cost of insurance.
C. It relieves a person of their debts.
D. It harms a person's credit report.
SUBMIT

Answers

Answer:

its not a. On some test it may be

Step-by-step explanation:

Bankruptcy make owning a car more expensive as It causes a loss of assets. Thus, option (A) is correct.

What is Bankruptcy?

Bankruptcy refer to the situation in which individuals or other entities that are unable to pay their creditors back can seek partial or complete relief from their debts. Bankruptcy is typically imposed by a court order that is frequently requested by the debtor, and then legal process is undertaken.

In order to pay the expenses, the business owner has to sell their cars to decrease the amount of the debt. This kind of the situation arises at the time of the insolvency of the business and court also order starting the process of dissolution.

Therefore, it can be concluded that Since bankruptcy results in the loss of assets, having a car becomes more expensive. Hence,  option (A) is correct.

Learn more about Bankruptcy here:

https://brainly.com/question/1142634

#SPJ5

terry buys beads by the bag to make jewlery there are 25 beads in each bag which equation can he use to find the number of beads in any number of bags if n equals any number of bags and t equal the total number of beads

Answers

Answer:

n*25=t

Step-by-step explanation:

n is the number of bags and 25 is the amount of marbles so we just put it into a simple multiplication function to show how many  marbles would be in n bags.

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