Write an explicit formula for the geometric sequence below and use it to find the 9th term. 256, 64, 16, 4, . . .

Answers

Answer 1

im doing this problem right now---

ok so a1=256 a2=64 a3=15 a4=4... find a9

the sequence divides by 1/4 every term

an=a1*r^n-1

an=(256)*(1/4)^n-1

replace n with 9

A9=(256)*(1/4)^9-1

A9=(256)*(1/4)^8

=(256)*(1/4)

A9=64^8

1/256 or a9= 0.00390625


Related Questions

suppose you live 6.9 miles from a hill. from your home you see a plane directly above the hill . you're angle of the elevation to the plane is 24 degree. what is the planes altitude. choices are
a 2.8 miles. b -14.7 miles. c 6.3 miles. d 3.1 miles

Answers

Answer:

d. 3.1 miles

Step-by-step explanation:

tan 24= x/6.9

x= 6tan24

x=3.072077929

x=3.1 miles

A survey is conducted at two junior high
schools asking students about the number of
sodas they consume each day.
Sodas Consumed Per Day
HE
Junior High
Junior High B
1
Based on the data shown in the graphs,
which statement is true?​

Answers

Answer:

A

Step-by-step explanation:

You people my pl

DUE IN 30 MINUTES!!!!! HELLLLLP NO DECIMALS ANSWER I would love it if would answer faaassst due in 30 minutes.

Answers

Answer: 432cm^3

Step-by-step explanation:

Answer: 432 cubed

Step-by-step explanation:

A confidence level of 95% means: 95% of the time, sample percentages will fall above the mean. 95% of the time, population data will fall between 149.61 and 150.39. the mean of 95% of the adults in the sample was 150.

Answers

Answer:

B

Step-by-step explanation:

95% of the time, population data will fall between 149.61 and 150.39.

A confidence level of 95% means 95% of the time, population data will fall between 149.61 and 150.39. The correct answer would be an option (B).

What is the sample?

A sample is a subset of data drawn from a larger population by a researcher using a predetermined selection process. These components are referred to as sample points, sampling units, or observations.

The second statement, "95% of the time, population data will fall between 149.61 and 150.39," is more accurate in terms of what a 95% confidence level implies.

When you conduct a sample survey, you can calculate a confidence interval, which is an estimate of the range of values that the population parameter is likely to fall within.

If the confidence level is 95%, it means that if you were to repeatedly sample the population and construct a confidence interval each time, 95% of those intervals would contain the true population parameter.

Thus, the correct answer would be option (B).

Learn more about the sample here:

https://brainly.com/question/11045407

#SPJ6

match the value with the appropriate ratio

pls help ill give brainly if you actually help me (:

Answers

Step-by-step explanation:

sohcahtoa

sin (x) = 12/20

cos (x) = 16/20

tan(x) = 12/16

sin (z) = 16/20

cos (z) = 12/20

tan(z) = 16/12

How is the number 6.237 read?
A. Six and two hundred thirty-seven thousandths
B. Sixty-two and thirty-seven thousandths
C. Sixty-two and thirty-seven tenths
D. Six and two hundred thirty-seven tenths

Answers

Answer:

I believe it's either between a or d

Step-by-step explanation:

I am not really sure but hope it helps

Hope you also have a great day!

Andrea uses 9.2 pints of white paint and blue paint to paint her bedroom walls. 3/5 of this
amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to
paint her bedroom walls? 1)

Answers

Answer:

You'd need 2/5 of 9.2 pints of blue paint

2/5 * 9.2 = .4 * 9.2 = 3.68 pints of blue paint

Step-by-step explanation:

Camila lives 3/10 kilometer from the park. Mariam lives 4 times as many kilometers from the park as Camila. How many kilometers from the park does Mariam live?

Answers

Answer:

1.2 kilometers

Step-by-step explanation:

0.3x4=1.2 kilometers

Answer:

1.2 kilometers away

Step-by-step explanation:

3/10 x 4

Solve the equation. x6−9=7 x = ___ (type only an integer - no words, variables, or equal signs)

Answers

Answer:

We want to solve the equation:

x*6 - 9 = 7

To solve this we need to isolate x in one side of the equation.

First, we need to add 9 in both sides of the equation to get:

(x*6 - 9) + 9 = 7 + 9

x*6 - 9 + 9 = 16

x*6 = 16

Now we can divide both sides by 6, to get:

x*6/6 = 16/6

x = 16/6 = 2.66

This is not an integer as the question wants, so i only can suppose that the question is incorrectly written.

If the equation was something like:

x/6 - 9 = 7

Using the same approach than before (the only difference is that we multiply both sides by 6 in the second step), we would get:

x/6 = 7 + 9 = 16

x/6 = 16

x = 16*6 = 96

x = 96

Which is an integer, so i suppose that the actual equation is "x/6 - 9 = 7" instead of "x*6 - 9 = 7"

Find the distance between the two points rounding to the nearest tenth (if necessary).
(-6,4) and (0, -4)

Answers

Answer:

8.9

Step-by-step explanation:

you planted sunflower seeds in your backyard and everyday the number of flowers doubles if it takes 42 days for the flowers to fill the garden how many days would it take for them to fill half of the garden
Plz HELPPP]PPPPPPPPPPPPPPPP

Answers

Answer:

41

Step-by-step explanation:

Konni and her son, Declan, went for a run. Declan ran for a total of 27 minutes and 45 seconds. Konni ran for twice as long as Declan. How much time did Konni spend running?

Answers

Answer:

Konni spent 55 minutes and 30 seconds running.

Step-by-step explanation:

27 x 2 = 54

30 x 45 = 90

90/60 = 1.5

1.5 minutes is one minute and 30 seconds.

55 minutes and 30 seconds

Just double it. 27 * 2 = 54 minutes, 45 * 2 = 90 seconds, or 1 minute and 30 seconds, so 55 minutes and 30 seconds

Which expressions are equivalent to the expression (x-y) 5/8-1/4x+y ?
​Select each correct answer.

Answers

Answer:

3x - 5y

———————

    8  

Step-by-step explanation:

Mhanifa can you please help this is due asap

Answers

Answer:

Question 1 Adjacent angles are supplementary, opposite angles are equal

Find x

62 + 5x + 3 = 1805x = 180 - 655x = 115x = 23

Find y

62 = 3y + 23y = 60y = 20Question 2Diagonals bisect each other

Find x

4x = 3x + 7x = 7

Find y

6y = 2y + 164y = 16y = 4

Correct choice is A

pls help to solve this ​

Answers

Answer:

[tex]\underline{ \underline{ \pink{\large{ \tt{ \: S \:T \: E \: P \: - \: BY \: - \: S \: T \: E \: P \: \: E\: X\: P \: L \: A \:N\: A \: T \: I \: O \: N}}}}}: [/tex]

Q. Find the range and coefficient of range of the data :

100 , 200 , 400 , 600 , 900

⇾ Solution :

largest value ( L ) = 900 & smallest value ( S ) = 100

We know , Range is the difference between the largest and smallest value. By definition ,

1. Range = Largest value - Lowest value = 900 - 100 = [tex] \boxed{ \sf{800}}[/tex]

2. Coefficient of range =[tex] \large{ \tt{ \frac{L - S}{L + S} = \frac{900 - 100}{900 + 100 } = \boxed{ \tt{0.8}} }}[/tex]

Q. If f ( x ) = 9x - 8x and x belong to { 0 , 4 , 3 ,5 }. Find the range.

⇾ Solution:

When x = 0 , f ( 0 ) = 9 × 0 - 8 × 0 = 0

When x = 4 , f ( 4 ) = 9 × 4 - 8× 4 = 4

When x = 3 , f ( 3 ) = 9 × 3 - 8 × 3 = 3

When x = 5 , f ( 5 ) = 9 × 5 - 8 × 5 = 5

Range = { 0 , 4 , 3 , 5 )

♨ Hope I helped! ♡

☃ Have a wonderful day / night ! ✎

☂ [tex] \mathfrak{Carry \: On \: Learning}[/tex]

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁


Jana, a high school principal, hosted a movie event at her school. Jana's assistant kept track of the number of students in each grade who attended the event. The distribution shown in the table
represents the number of students in each grade that were present.
Grade Level
Sophomore-56
Senior-70
Freshman-52
Junior-60
Jana knows that the grade levels are equally distributed across the school of 1,200 students. She would like to use a chi-square test to see if the proportion of individuals in each class at the
movie are also equally distributed. How many seniors would be expected at the event?

Answers

Answer:

59.5 Seniors expected

Step-by-step explanation:

"Equally distributed" means that it is expected that each grade has equal number of students for 1200 schools. This means 1200/4 = 300 students expected in each grade for 1200 students. The proportion would be 300/1200 = .25

The actual total of the school shown is (56+70+52+60) = 238

Therefore 238 * .25 = 59.5 expected students in each grade for this school

The proportion for each grade can also be found by just knowing that each grade has the same proportion.There are 4 grades so 1/4 = .25

answer first n you get brainliest

Answers

Answer:

72 meters

Step-by-step explanation:

12 times 9 is 72

Answer:

243 m²

Step-by-step explanation:

Given the scale is 4 : 6 = 2 : 3 , then

scale of areas = 2² : 3² = 4 : 9

area of scale drawing = 12 × 9 = 108 cm²

let x be the actual area then using proportion

[tex]\frac{4}{108}[/tex] = [tex]\frac{9}{x}[/tex] ( cross- multiply )

4x = 972 ( divide both sides by 4 )

x = 243

Actual area = 243 m²

According the box Plot, 50% of the students are atleast how tall?
a. 47 inches
b. 53 inches
c. 56 inches
d. 62 inches

Answers

This looks like it’s more so 56 in for that 50%

How would this triangle be classified?

Answers

Answer:

D (Isosceles Obtuse)

Step-by-step explanation:

Since 2 of the sides are the same length, that would make the triangle an isosceles.

Since 1 of the angles are over 90 degrees, that would make the triangle obtuse.

This makes the triangle an isosceles obtuse triangle.

hope this helps

Josie wants to build a slide that is 15 feet long. If the angle of elevation for the side will be 30 degree, how high in feet will the top of the slide be ?

Answers

Answer: 7.5

Step-by-step explanation: draw a right triangle to represent the slide. the slide is 15 feet long, so the hypotenuse of the right triangle would be 15 feet. The angle from the bottom is 30 degrees according to the question. You want to find the angle opposite from the 30 degree angle so use sin(30). Sin=opposite/hypotenuse so sin(30)=x/15 sin(30) is 1/2 so 1/2=x/15. You multiply by 15 on both sides to get x by itself. 1/2*15=7.5

I f m<4=30 degrees, find m<3

Answers

m<3=60°

Answer:

m<4+m<3=90° each angle of rectangle is 90°

m<3=90-30=60°

How do I do this? I don't Understand.​

Answers

the answer is 151

360- every number there is 151

what is the value of x? tangent lines acellus

Answers

Answer:

30°

Step-by-step explanation:

the three interior angles of a triangle add up to 180, so 60° + 90°+ 30° just works. Sorry it's such a bad explanation, but the answer works . I have acellus too and I entered the answer before answering your question.

A company makes 150 bags.
43 of the bags have buttons but no zips.
38 of the bags have zips but no buttons.
34 of the bags have neither zips nor buttons.
How many bags have zips on them?

Answers

38 of the bags have zips on them

rewrite (3x + 2)(x - 3) in standard form

Answers

Answer: 3x^2 − 7x − 6

What is The value of Y in this exponential growth function when X equals two y=1.5x

Answers


Y=3

Y=1.5x

If X=2 insert 2 into the equation

Y=1.5(2)
Y=3

Answer:

y = 3

Step-by-step explanation:

y = 1.5x and x = 2

y = 1.5(2)

y = 3

7 + 6 - 9 * - 2 + - 3 what is the answer
[tex]7 + 6 - 9 \times - 2 + - 3[/tex]

Answers

Answer:

28

hope this answer helps you...

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{7 + 6 - 9 \times(-2) + (-3)}[/tex]

[tex]\mathsf{7 + 6 = \bf13}[/tex]

[tex]\textsf{\bf 13}\textsf{ - 9 (-2) - 3}[/tex]

[tex]\mathsf{9(-2) = \bf -18}[/tex]

[tex]\textsf{13 - \bf(-18) }\textsf{- 3}[/tex]

[tex]\mathsf{13 + 18 = \bf 31}[/tex]

[tex]\mathsf{\bf 31}\textsf{ - 3}[/tex]

[tex]\mathsf{\bf 28}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf 28}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Cynthia rounds a number, x, to one decimal point.
The result is 6.3

Write down the error interval for x.

Answers

Answer:

[6.26,6.29]U[6.31,6.34

Step-by-step explanation:

6.26

6.27

6.28

6.29

6.31

6.32

6.33

6.34

So in interval form [6.26,6.29]U[6.31,6.34]

P is the point (16,9) and Q is the point (22. 24).
(a) Find the equation of the line perpendicular to PQ that passes through the point (5, 1).
Give your answer in the form y=mx+c.
(b) N is the point on PQ such that PN=2NQ. Find the co-ordinates of N.

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (P(16, 9) and (x₂, y₂ ) = Q(22, 24)

[tex]m_{PQ}[/tex] = [tex]\frac{24-9}{22-16}[/tex] = [tex]\frac{15}{6}[/tex] = [tex]\frac{5}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{5}{2} }[/tex] = - [tex]\frac{2}{5}[/tex] , then

y = - [tex]\frac{2}{5}[/tex] x + c ← is the partial equation

To find c substitute (5, 1) into the partial equation

1 = - 2 + c ⇒ c = 1 + 2 = 3

y = - [tex]\frac{2}{5}[/tex] x + 3 ← equation of perpendicular line

(b)

Given PN = 2NQ , then N sections PQ in the ratio 2 : 1

Using the Section formula to find coordinates of N

N = ( [tex]\frac{16(1)+22(2)}{1+2}[/tex] , [tex]\frac{9(1)+24(2)}{1+2}[/tex] )

   = ( [tex]\frac{16+44}{3}[/tex], [tex]\frac{9+48}{3}[/tex] )

    = ( [tex]\frac{60}{3}[/tex], [tex]\frac{57}{3}[/tex] )

    = (20, 19 )

PLZ HELPPPP

C candies cost 5 dollars. how much money would 12 dollars cost?

Answers

12 divided by 5 = 2.4
If you mean how much money would 12 candies cost than it would be 12 over c times 5

12/c • 5
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