IThe first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
72, 24, 8, ...
Find the 8th term.

Answers

Answer 1

Answer: the eight term is 8/243

Step-by-step explanation:

Each term in this geometric sequence is equal to the previous term, divided by 3.

72,24, 8

a = 72, r = 1/3

a = first term, r is common ratio

tn = ar^n-1

t8 = 72÷ 3^8–1

t8 = 72÷ 3^7

= 72/ 3^7

= 8/243


Related Questions

If quadrilateral WXYZ is reflected over the y-axis, what will be the coordinates of point X ′ in the image?

Answers

Answer:

(-1,6)

Step-by-step explanation:

When you reflect over the y-axis, the x value becomes the opposite sign

Answer:

-1 6

Step-by-step explanation:

i copied the first answer

HELP ASAP!! What is the output value for the following function, f(x) = 5x - 2 if the input value is 3?


A. 17
B.51
C. 13
D. 1

Please helpp!

Answers

Answer:

C) 13

Step-by-step explanation:

f(x) = 5x -2

f(3) = 5(3) -2

f(3) = 15 - 2

f(3l) = 13

Subtract -5/8 -(-1/4)
plzz answer now!

Answers

Answer: -5/18 - (-1/4) = -1/36

Step by step:

To subtract,  find the LCD and then combine

So this is your answer,

-1/36

Pls answer all 3 questions

Answers

Answer:

a) x=4

b) y=3

c) 3m-2n

You weigh six packages and find the weights to be 20, 12, 52, 16, 48, and 44 ounces. If you include a package that weighs 60 ounces, which will increase more, the median or the mean?

Answers

Answer:

median

Step-by-step explanation:

The first step is to sort the numbers from largest to smallest (you could go the other way as well).

60 52 48 44 20 16 12

The median is the middle number 44 in this case. The median has 3 numbers on its left and 3 on its right (in this case). 44 has 60 52 48 or its left and 20 16 and 12 on its right.

The mean is the average. We'll call it the new average

The mean is 60 + 52 + 48 + 44 + 20 + 16 + 12 = 252

The new mean is 252 / 7 = 36

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

The old median is the average between the middle 2 numbers (before you added 60 you had 6 numbers)

52 + 48 + 44 + 20 + 16 + 12 = the average of 44 + 20 which 64/2 = 32

The old mean was (52 + 48 + 44 + 20 + 16 + 12)/6 = 32.

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

The median increased from 44 to 32 = 12

The mean went from 32 to 36 which is 4

Answer: the median increased more  

Please help! Correct answer only please! I need to finish this assignment by today.

One morning, boats from all along the Atlantic coast docked at a busy marina.


What is the experimental probability that the next boat to dock will be from Rhode Island?

Simplify your answer and write it as a fraction or whole number.

P(Rhode Island) =

Answers

Answer:

1/4

Step-by-step explanation:

there are 24 boats in total. out of those 24 boats, six are from rhode island. so 6/24 boats are from rhode island. simplified it will be 1/4 :)

Suppose you have a bag of colored elastic bands and you choose one without looking. The probability the elastic band you choose is blue is ​P(blue​)=0.34. Write this probability as a percent and a fraction.

Answers

Answer:

0.34 can be written as 34% or 34/100.

Anyone mind helping out with my math?

Answers

Answer:

no

Step-by-step explanation:

all the numbers are multiples of each two.

For example,

2×2=4,

4×2=8,

8×2=16

So, the line would be linear.

// have a great day //

solve the system of equations below. x-2y=3 2x-3y=9

Answers

Answer: x = 9, y = 3

Step-by-step explanation:

9 - 2(3) = 3

9 - 6 = 3

2(9) - 3(3) = 9

18 - 9 = 9

Answer:

x=9, y= 3

Step-by-step explanation:

x-2y=3

2x-3y=9

Multiply the first equation by -2

-2x +4y = -6

Add this to the second equation

-2x +4y = -6

2x-3y=9

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

   y = 3

Now find x

x -2y =3

x -2(3) = 3

x-6 = 3

Add 6 to each side

x = 9

Solve x
3x+6=42 please help me get this done

Answers

_______________________________

Solution,

3x+6=42

or,3x=42-6

or, 3x=36

or,X=36/3

X=12

The value of X is 12.

hope it helps

Good luck on your assignment

____________________________

Answer:

this can be solved by using transposition method let me tell you how

Step-by-step explanation:

3x+6=42

+6 will transpose to the rhs

=3x = 42 - 6 (+WILL BECOME - WHILE TRANSPOSING LHS TO RHS)

= 3x = 36

3x will transpose and will become division

= x = 36 /3

=x =12

the value of x is 12

cuba is famous of which crop​

Answers

Sugarcane is Cuba’s famous crop. It is grown throughout the island, but mainly in the eastern half.

(08.01 LC)
Find the circumference and area of a circle with a diameter of 10 inches. Leave your
answers in terms of pi.
O C = 51: A = 20
O C = 10; A = 20
O C = 10; A = 25T
O C = 5T; A = 2511

Answers

Answer:

Area = πr^2

= π * 5^2

= 25π

Circumference = 2πr

= 2 * π * 5

= 10π

Answer:

C= 10, A= 25

Step-by-step explanation:

d= 10 in

r= d/2= 5 in

C= 2πr= 2π*5= 10 π in

A= πr²= π*5²= 25 π in²

What is the volume of a rectangular prism with l = 412 cm, w = 312 cm, and h = 6 cm?

A. 9012 cubic centimeters

B. 9412 cubic centimeters

C. 95 cubic centimeters

D. 9512 cubic centimeters

Answers

The required volume of the rectangular prism is 765792 cubic centimeters. None of the options are correct.

To find the volume of a rectangular prism, you can use the formula:

Volume = length (l) * width (w) * height (h)

Given:

l = 412 cm

w = 312 cm

h = 6 cm

Volume = 412 cm * 312 cm * 6 cm
Volume = 128544 * 6 cubic centimeters
Volume = 771264 cubic centimeters

Thus, the volume of the given rectangular prism is 771264 cubic centimeters.

Learn more about volume here:

https://brainly.com/question/31621849

#SPJ12

In ΔIJK, the measure of ∠K=90°, KI = 5.3 feet, and JK = 2.1 feet. Find the measure of ∠I to the nearest tenth of a degree. I

Answers

Answer:

[tex]\angle I = 21.6 ^\circ[/tex] is the correct answer.

Step-by-step explanation:

Please refer to the attached figure.

[tex]\triangle IJK[/tex] is shown with the following measurements:

[tex]\angle K = 90^\circ[/tex]

Side KI = 5.3 ft

Side JK = 2.1 ft

To find : [tex]\angle I[/tex] = ?

Using trigonometric identity for tangent of an angle:

[tex]tan\theta = \dfrac{\text{Perpendicular}}{\text{Base}}[/tex]

Here [tex]\theta = \angle I[/tex]

Perpendicular is side JK.

Base is side KI.

Putting the values in above formula:

[tex]tan\theta = \dfrac{\text{JK}}{\text{KI}}\\\Rightarrow tan\theta = \dfrac{2.1}{5.3}\\\Rightarrow tan\theta = 0.3962\\\Rightarrow \theta = 21.6^\circ[/tex]

Hence, [tex]\angle I = 21.6 ^\circ[/tex] is the correct answer.

How many edges does the following shape have?

Answers

The following shape has 8 edges
the following shape has 8 edges

Onesimus bought a phone for $ 75 and signed up for a single-line phone plan with 2000 monthly anytime minutes. The cost of the plan was $ 124.36 per month. Calculate the cost for 21 months assuming that the number of minutes does not exceed 2000 per month

Answers

Answer:

cost for 21 months without considering cost of phone is  $2,611.56

Total cost inclusive of cost of phone = $2,686.56

Step-by-step explanation:

cost of 2000 monthly anytime minutes plan = $ 124.36

So , in 1 month cost for given plan = $ 124.36

we have to find cost for 21 month

In 21 month, cost for given plan = 21 * cost of 1 month plan

In 21 month, cost for given plan = 21 * $ 124.36 = $2,611.56

cost for 21 months is  $2,611.56.

Note, this cost is without considering the cost of phone as it is not mentioned cost of phone is to be included or not.

In case cost of phone is included then

Total cost inclusive of cost of phone =  $2,611.56 + $75 = $2,686.56

Keenan currently does a total of 888 pushups each day. He plans to increase the number of pushups he does each day by 222 pushups until he is doing a total of 303030 pushups each day. Which equation can we use to determine xxx, the number of days that it will take Keenan to reach his goal? Choose 1 answer: Choose 1 answer:

Answers

Answer:

222x + 888 = 303030

Step-by-step explanation:

If he raises the amount of push-ups he does by 222, then we can put the x with it, which represents the number of days. Since we are adding onto the 888 a day we can put that without the variable. If you were to solve this equation you would get the amount of days it would take to reach 303030 push-ups a day.

Hope this helps!

Answer:

8+2x=30

Step-by-step explanation:

did it on khan its correct

Un padre para estimular a su hijo para estudiar matemáticas le dice: por cada ejercicio que resuelvas bien te daré 7 € y por cada uno que hagas mal me darás 1 €. Después de hacer 45 ejercicios, el muchacho se encuentra con 19 €. ¿Cuántos ejercicios ha resuelto bien?

Answers

Answer:

8 ejercicios

Step-by-step explanation:

De acuerdo a la información dada, puedes plantear las siguientes ecuaciones:

x+y= 45 (1)

7x-1y= 19 (2)

x= ejercicios que resolvió bien

y= ejercicios que resolvió mal

Primero, puedes despejar x en (1):

x= 45-y (3)

Segundo, debes reemplazar (3) en (2):

7(45-y)-1y=19

315-7y-1y= 19

315-8y= 19

315-19= 8y

296= 8y

y= 296/8

y= 37

Tercero, debes reemplazar el valor de y en (3) para encontrar x:

x= 45-37

x= 8

De acuerdo a esto, la respuesta es que el hijo ha resuelto bien 8 ejercicios.


What is the probability that a card drawn randomly from a standard deck of 52 cards is a red eight Express your answer as a fraction in
lowest terms or a decimal rounded to the nearest millionth

Answers

Answer:

=1/26

Step-by-step explanation:

In a 52 card deck there are 2 red 8's ( hearts and diamonds)

P(red 8) = number of red 8's / total

             =2/52

             =1/26

i need help pls i would really appreciate it !!

Answers

Answer : a
Sin is opposite/hypotenuse which is 8/10
And this is 4/5
‘A’ will be the answer to your question

Please help me with my question!!

Answers

Answer:

14 ornaments.

Step-by-step explanation:

To find the amount of ornaments students can make from 3 1/2 pieces of Bristol board, you will need to divide fractions. Therefore:

Begin by converting '3 1/2' to an improper fraction.

3 1/2 = [tex]\frac{7}{2}[/tex]

Divide '1/4' from the total amount by multiplying by the reciprocal.

[tex]\frac{7}{2} * \frac{4}{1} = \frac{7* 4}{2 *1} = \frac{28}{2} = 14[/tex]

Therefore, the students can make 14 ornaments.

Elliot has a total of 26 books. He has 12 more fiction books than nonfiction books. Let x represent the number of fiction books and y represent the number of nonfiction books. Which system of linear equations represents the situation?
x + y = 26 and x + y = 12
x + y = 26 and x – y = 12
x + y = 26 and –x + y = 12
x – y = 26 and x + y = 12

Answers

Answer:

x + y = 26  and x – y = 12

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

just did it

Given the explicit formula, calculate the first four (4) terms.

1. f(n) = 9+8n
2. f(n)=8(n+1)-13
3. f(n)=65-9n

plz help​ me out

Answers

Answer:

Step-by-step explanation:

Given the following explicit formula, we are to calculate the first four (4) terms of the sequence.

1)  f(n) = 9+8n

When n = 1

f(1) = 9+8(1)

f(1) = 17

when n = 2

f(2) = 9+8(2)

= 9+16

= 25

When n = 3

f(3) = 9+8(3)

f(3) = 33

when n = 4

f(4) = 9+8(4)

= 41

= 25

The first four terms are 17, 25, 33 and 41

2) f(n) = 8(n+1)-13

When n = 1

f(1) = 8(2)-13

f(1) = 3

when n = 2

f(2) =  8(3)-13

= 24-13

= 11

When n = 3

f(3) =  8(4)-13

f(3) = 32-13

= 19

when n = 4

f(4) =  8(5)-13

= 40-13

= 27

The first four terms are 3, 11, 19 and 27

3) f(n) = 65-9n

When n = 1

f(1) = 65-9(1)

f(1) = 56

when n = 2

f(2) = 65-9(2)

= 65-18

= 47

When n = 3

f(3) = 65-9(3)

f(3) = 65-27

= 38

when n = 4

f(4) = 65-9(4)

= 65-36

= 29

The first four terms are 56, 47, 38 and 29

Perform the indicated operation.

15 - 12


3

-3

-27

27

Answers

Answer:

3

Step-by-step explanation:

15-12

This is 12 taken away from 15

00000000    _    000000

0000000            000000                    000

15 marbles     --    12 marbles  =     3 marbles  

c) work out the value of 3² + 2³

d) work out the value of 2⁴ - 3²

Answers

Answer:

a) 2^6 = 2 x 2 x 2 x 2 x 2 x 2 = 64

b) 7^4 = 7*7*7*7 = 2401

c) 3^2 + 2^3

= 9 + 8

= 17

d) 2^4 - 3^2

= 16 - 9

= 7

The Skubic family and the Shaw family went on a safari tour in which they drove their own vehicles through the park to view the animals. The cost of the tour was $5.25 per vehicle plus an additional amount for each person in the vehicle. The Skubic family had 7 people in their vehicle and paid $22.75. If the Shaw family had 3 people in their vehicle, how much did they pay?

Answers

Answer:

$12.75

Step-by-step explanation:

Skubic Family-

22.75 = 5.25 + 7x

17.5 = 7x

2.5 = x

Therefore the cost for each person is equal to $2.5

Shaw Family-

2.5(3) + 5.25

7.5 + 5.25 = $12.75

Answer:

$12.75 is answer c

Step-by-step explanation:

Help please
What are the coordinates of the hole in the graph of the function?

f(x)=x2−3x−10/x−5
Enter your answer in the boxes.

Answers

Answer:

  (5, 7)

Step-by-step explanation:

A hole is found in the graph of a rational function where numerator and denominator factors cancel each other.

The x-coordinate of the hole is the value of x that makes the factor zero. The y-coordinate of the hole is the value of the simplified function after the cancelled factors are removed. It is the limit of the function value as x approaches the hole location.

__

  [tex]f(x)=\dfrac{x^2-3x-10}{x-5}=\dfrac{(x+2)(x-5)}{x-5}=x+2\qquad x\ne 5[/tex]

The hole is found at x = 5. The limit of the function value as x approaches 5 is 5+2 = 7. The coordinates of the hole are (5, 7).

Which of the following expressions represents the verbal description below?

the cube of the difference of 4 times x and 6 divided by 2 times the sum of x and 1




Answers

Answer:

((4x-6)^3)/(2(x+1))

Answer:

[tex]\frac{(4x - 6)^3}{2 (x + 1)}[/tex]

Step-by-step explanation:

the difference of 4 times x and 6                         4x - 6

the cube of the difference of 4 times x and 6   [tex](4x - 6)^3[/tex]

the sum of x and 1                                                  x + 1  

2 times the sum of x and 1                                 2(x + 1)

the cube of the difference of 4 times x and 6      

divided by 2 times the sum of x and 1            [tex]\frac{(4x - 6)^3}{2 (x + 1)}[/tex]

Therefore, the verbal description "the cube of the difference of 4 times x and 6 divided by 2 times the sum of x and 1" translates to the expression below.

                                                   [tex]\frac{(4x - 6)^3}{2 (x + 1)}[/tex]

$49 per month for unlimited calling plus 5 cents for each text message. Is this proportional or non proportional?

Answers

Answer: proptional

Step-by-step explanation:

Which graph shows a system with no solutions?

Answers

The answer is graph B because the lines never intersect; they are parallel lines.

Answer:

A Graph b

Step-by-step explanation:

Since the two lines are parellel, they will never intersect and there will be no solutions

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