Find a12 for the geometric sequence -4, -2, -1, -1/2, ...

Answers

Answer 1

9514 1404 393

Answer:

  -1/512

Step-by-step explanation:

The first term is -4, and the common ratio is -2/-4 = 1/2. Then the n-th term is ...

  an = -4·(1/2)^(n-1)

and the 12th term is ...

  a12 = -4(1/2)^(12 -1) = -4/2048

  a12 = -1/512


Related Questions

Which ordered pair (a, b) is the solution to the given system?
2a-5b=1
3a+5b=14
(1, 3)
(3, 1)
(29/5,15)
15,29/5

Answers

Answer:

2a - 5b = 1

3a + 5b = 14

Let's solve this system using elimination. Add the equations together to cancel the b-terms, then solve for a.

   2a - 5b = 1

  3a + 5b = 14

+___________

   5a - 0 = 15

        5a = 15

          a = 3

Next, plug 3 for a into either of the equations and solve for b.

 2a - 5b = 1

2(3) - 5b = 1

   6 - 5b = 1

      - 5b = -5

          b = 1

Lastly, check all work by plugging both values for their respective variables.

    2a - 5b = 1

2(3) - 5(1) = 1

        6 - 5 = 1  --  This is true

    3a + 5b = 14

3(3) + 5(1) = 14

        9 + 5 = 14  --  This is true

The solution to the system of equations is (3, 1).

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

who ever gives to correct answer I will mark the brainiest ​

Answers

Answer:

the answer is B

Step-by-step explanation:

on the Cartesian plane u have to think of the distance from both the positive and negative side

so 3 is 3 units from the origin and -6 is 6 units from the origin

Therefore the total length is 9 (3+6)

And B is the only answer which will give 9

A car weighs 3.6 tons. Find its weight in pounds.

Answers

The answer is 7,200 :)

Ms. Chapman wants to take her scout troop to Neon Nights roller rink. The employee she spoke to ahead of time said the total cost for all 9 people in the group would be $81. This includes an entrance ticket and a $3 skate rental fee for each person. Which equation can you use to find t, the cost of each entrance ticket? How much does each entrance ticket cost? $

Answers

The cost of the entrance ticket is $6.

The equation that can be used to represent the information in the question is:

Total cost = (number of students x entrance fee) + (cost to rent a skate x number of students)

$81 = 9t + ($3 x 9)

$81 =9t + $27

In order to determine the value of t, the following steps would be taken:

Combine similar terms

$81 - $27 = 9t

Subtract similar terms

54 = 9t

Divide both sides of the equation by 9

t = $6

To learn more, please check: https://brainly.com/question/13813779

Please solve of r in the problem int the photo

Answers

[tex]r = \sqrt{\dfrac{3V}{\pi h}}[/tex]

Step-by-step explanation:

Multiply both sides by 3 to get

[tex]\pi r^2h = 3V[/tex]

Then divide both sides by [tex]\pi h[/tex] and you'll get

[tex]r^2 = \dfrac{3V}{\pi h}[/tex]

To solve for r , you need to take the square root of both sides to get

[tex]\sqrt{r^2} = r = \sqrt{\dfrac{3V}{\pi h}}[/tex]

how do i solve for this?

Answers

Answer:

see explanation

Step-by-step explanation:

(16)

The mid segment ZW is half the sum of the parallel bases

ZW = [tex]\frac{38+20}{2}[/tex] = [tex]\frac{58}{2}[/tex] = 29

(17)

The lower base angles are congruent , so

∠ UYX = ∠ VXY = 35°

(18)

Any lower base angle is supplementary to any upper base angle , then

∠ VUY = 180° - ∠ UYX = 180° - 35° = 145°

(19)

[tex]\frac{UV+XY}{2}[/tex] = ZW

[tex]\frac{3x-1+7x+1}{2}[/tex] = 10 ( multiply both sides by 2 to clear the fraction )

10x = 20 ( divide both sides by 10 )

x = 2

Then

XY = 7x + 1 = 7(2) + 1 = 14 + 1 = 15

(20)

The legs are congruent , so

UY = VX

5a - 6 = 3a + 2 ( subtract 3a from both sides )

2a - 6 = 2 ( add 6 to both sides )

2a = 8 ( divide both sides by 2 )

a = 4

a bike cost 129.90 what is your total with a tax of 5%

Answers

Answer:

so you just use the equation to get the formula and extract the common denominator

Step-by-step explanation:

because i said so

someone please just help me i'm almost done with my math for today!
marking brailist

Answers

If 13 is added to the data set the range will increase by one because range is highest value minus lowest value and 13 is one unit less than the previous lowest value

therefore the answer is A

A bag contains 4 red balls and 6 blue balls. If 3 balls are selected at random, find the probability of selecting 3 red balls?

Answers

The probability is 4⋅3⋅2⋅1/10•9•8•7=(4/4)(6/0)/(10/4)=1/210 so the probability of selecting 3 red balls would be 1/210

Gino had 89€.
He used one
quarter to buy
a gumball. How
much money does
Gino have left?

Answers

Answer: 64€

Step-by-step explanation:

89 - 25 = 64

Can i have brainliest

Answer:

64 cents

Step-by-step explanation:

Assuming the 'c' symbol represents an American currency symbol

What is 9 + 10 I do not know

Answers

Answer:

21, jk its 19 if you really dont know

Step-by-step explanation:

Answer:

9 + 10 = 19

just add it

hope it helps

divide,write in simplest form 6 1/2 divided by 3/4

Answers

Answer:

Step-by-step explanation:

Answer:

8 2/3

Step-by-step explanation:

6 1/2 / 3/4

Improper fractions:

[tex]\frac{13}{2} /\frac{3}{4}[/tex]

Reciprocal:

[tex]\frac{13}{2}*\frac{4}{3}[/tex]

Simplify:

[tex]\frac{13}{1}*\frac{2}{3}[/tex]

Solve:

[tex]\frac{26}{3}=8\frac{2}{3}[/tex]

sir 柴米米米米 Read: Marley is buying ribbon to make bows. She buys 123 inches of green ribbon She buys 97 inches of plaid ribbon. She buys 237 inches of polka-dot ribbon. Lastly, sh buys 104.5 inches of red ribbon. How many inches of ribbon does Marley buy? ​

Answers

Answer:

561.5 inches

Step-by-step explanation:

You just add all the four numbers together

123+97+237+104.5=561.5

Help help help math math math

Answers

Answer:

x=12

Step-by-step explanation:

[tex](4x + 15) + (x + 5) = 180 \\ 5x + 20 = 180 \\ 5x = 60 \\ x = 12[/tex]

Answer:

12

Step-by-step explanation:

The shape of f(x) = x^3, but shifted four units to the left, eight units down, and then reflected in the y-axis (in that order)

Answers

Answer:

steps below

Step-by-step explanation:

f(x) = x³

1. shifted four units to the left: f'(x) = (x+4)³

2. eight units down: f''(x) = (x+4)³ - 8

3. reflected in the y-axis: f'''(x) = (-x+4)³ - 8

The final shape after the transformation is f(x) = -(x + 4)³ - 8.

Original function: f(x) = x³

Shifted four units to the left: f(x) = (x + 4)³

Shifted eight units down: f(x) = (x + 4)³ - 8

Reflected in the y-axis: f(x) = -(x + 4)³ - 8

Hence, the final shape of the function after these transformations is f(x) = -(x + 4)³ - 8.

Learn more about transformation here:

https://brainly.com/question/10904859

#SPJ3

True or false: 1-51 = -5?

Answers

Answer:

False

Step-by-step explanation:

Absolute value gives you a positive answer

Answer:

False

Step-by-step explanation:

The left side  

− 50  does not equal to the right side  − 5 , which means that the given statement is false.

Two wheelchair ramps, each 10 feet long, lead to the two ends of the entrance porch of Mr. Bell's restaurant. The two ends of the porch are at the same height from the ground, and the start of each ramp is the same distance from the base of the porch. The angle of the first ramp to the ground is 24°.

Answers

Answer:

It must have an angle of exactly 24°.

Step-by-step explanation:

Answer:

It must have an angle of exactly 24°.

Step-by-step explanation:

I got a 100% on my mastery test

How to solve this problem

Answers

Answer:

Step-by-step explanation:

(GIVING BRAINLIEST AND 15 POINTS FOR ANSWER) Solve five and three sixths minus two and one third.
Two and three eighteenths
two and two ninths
three and two ninths
three and three eighteenths

Answers

Answer:

three and three eighteenths

5 3/6 = 33/6

2 1/3 = 7/3 = 14/6

33/6 - 14/6 = 19/6 = 3 1/6 or 3 3/18

Distributive property 21x4

Answers

Answer:

21*4 = 84.

Step-by-step explanation:

Multiply 2 by 4 to get 8.

Multiply 1 by 4 to get 4.

Move the 8 into the tens place and move the 4 into the ones place.

Help help math math please pelsss

Answers

Answer:

116°

Step-by-step explanation:

together both angles equal 180 because they are on a straight line and are opposite of each other.

180 - 64 = 116

I hope this helps!!

Sheila is making accessories for the soccer team. She uses 883.14 inches of fabric on headbands for 38 players and 3 coaches. She also uses 324.52 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?

Answers

Answer:

29.455

Step-by-step explanation:

add the inches of fabric together and divide by the total number of players and coaches

Please help. Will give brainliest.

Answers

Answer:

i am going to but 11 bagels but i am going to buy them for a price under 5$

i am also going to buy 4 extra if we are still hungry

Step-by-step explanation:

i dunno you prob need a anwser with little thought like this becuase of auto grading systems hope this helps

A pirate was digging a hole on an island to bury his treasure. If he is able to dig a hole into the sand at 2 feet per minute, what integer would represent how deep the would be after 7 minutes?

Answers

Answer:

2(7) = 14 ft.

Step-by-step explanation:

That pirate must be a beast! or have an excavator.

Which of the following best describes the relationship between the variables on the scatter plot below?


A.
positive and negative association
B.
positive association
C.
negative association
D.
no association

Answers

A Perform the indicated operations. Show your solution in the given space below.

Answer:

C Negative Association

Step-by-step explanation:

Youll notice how the overall "line" of the graph goes down, the dots on the graph proceeding into the negative

A shuffled deck of cards is placed facedown on the table. It contains 7
hearts, 8 diamonds, 6 clubs and 3 spades. What is the probability that the top two cards are one of the clubs followed by one of the heartS?

Answers

Answer:

3/23 x 5/23 = 15/529 = 2.84%

Answer:

First find the total of 7 hearts, 8 diamonds, 6 clubs and 6 spades which is 24 altogether. Therefore we are talking about 4 types of cards. I therefore think the probability will be 2/24

IS IT 60 SOMEONE PLEASE TELL ME THE RIGHT ONE !!!

Answers

Answer:

60 is the answer you're welcome

Henry goes to the carnival with 3
friends. They each ride 5 rides at
$5.50 per ride. Two of them buy an
ice cream cone for $2.00 each. Henry
buys a hot dog for $4.00 and his
friend has a hamburger for $3.00.
Each of the 4 friends buys a drink for
$1,75. What is the total amount they
spend at the fair?

Answers

Answer:

$5.50 x 5 =  $27.5

$27.5 x 4 =  110$

$2.00 x 2 = $4.00

$4.00

$3.00

$1.75 x 4 =  7$

27.5 + 110 + 4.00 + 4.00 + 3.00 + 7 = 155.5

Step-by-step explanation:

can you me as brainliest if its right?\

my first answer was wrong

3 x 5 = 15 rides
15 x 5.50 = $82.50
2 x 2 = $4
+ $2
+ 3
4 x 1.75 = $7
= $98.50
that’s what i got

help me plssssssssssssssssssss

Answers

Answer:

Both the median and mean are 13

"One subtracted
from the
product of 4 and
a number is 11

Answers

4x-1=11 for some reason this needs to be 20 letters doodle doo
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