Find an explicit formula for the geometric sequence -9\,,-18\,,-36\,,-72,...

Answers

Answer 1

Answer:

[tex]f(x)=-9(2)^(^x^-^1^)[/tex]

Explanation:

First, we find the common ratio by dividing any term by its previous term. We should do this a couple of times to make sure it's consistent. In this case, our common ratio is 2. Our first (or 1th) term of the sequence is -9, so our formula becomes

[tex]f(x)=-9(2)^(^x^-^1^)[/tex].


Related Questions

Noah has 19 bacon pancakes on his plate, and Mackenzie has x less bacon pancakes than Noah. Choose the expression that show how many bacon pancakes Mackenzie has.​

Answers

Answer:

19-x

the expression that show how many bacon pancakes Mackenzie is 19 - x

write the product in standard form (2x + 5) ^2

Answers

Answer:

4x^2+20x+25

Step-by-step explanation:

(2x+5)^2 = (2x+5) (2x+5)

Using the foil method : 2x(2x) = 4x^2

(2x) (5) = 10x

(2x) (5) = 10x

5 (5) = 25

Combine like terms

The equation y+6=1/3(x-9) is written in point- slope form. What is the equation written in slope-intercept form?

Answers

Your answer would be option three,  y = 1/3 x -9 :)


What is the Standard Form of 82?

Answers

Answer:

8.2 x 10^1

Step-by-step explanation:

There is a lighthouse on top of a cliff. The light of the lighthouse is 200 feet above sea level. It can be seen on the deck of a ship that is 25 feet above sea level. If the angle of depression from the light of the lighthouse to the deck of the ship is 30 degrees, then how far from the cliff is the ship, to the nearest foot?

Answers

Answer:

Step-by-step explanation:

It is C

Answer: C- 303

Step-by-step explanation:

27. A bag contains 2 red and 4 yellow apples. Brandon selects 2 apples at random. What
is the probability that he has chosen 2 yellow apples?

Answers

Answer:12/30

Step-by-step explanation:

Total apple =6

Yellow apples = 4

4/6

3/5

(4/6)*(3/5)= 12/30

Question 3 of 10
Which best describes how empirical probability is which which best describes how empirical probability is determined?
A. By considering all possible outcomes
B. By deciding which events are unpredictable
C. By deciding which events are random
D. By personal experimentation and testing
SUBMIT

Answers

Answer:

B. By personal experimentation and testing

Step-by-step explanation:

The answer is b. By deciding which events are unpredictable

A smaller box of cereal is $2.89 for 14.5 oz. The family size is $4.99
for 30 oz. Which is the better deal? explain.

Answers

Answer:

the better deal will be the family size for $4.99 and 30oz, because the family box come with 30oz per box and with that many oz it can be shared by the family depending on how much cereal they they get.

Step-by-step explanation:

Work out m and c for the line: y = 7 − x

Answers

You see it’s dfuunny how I have no clue wigs I could tho xx

The line y = 7 − x has a slope(m) of - 1 and y-intercept b is 7.

What are lines and their slopes?

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, an equation of a line y = 7 - x.

We can rearrange this in the form of slope-intercept form which is

y = mx + b.

y = - x + 7.

y = (-1)x + 7.

The slope (m) of this line is - 1 and the y-intercept(b) is 7.

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Q14.
Dev has been counting the number of steps he takes each day.
The table below shows the data for one week. The data for Wednesday is missing.
Mon Tue Wed Thu Fri
Sat
Sun
5034 5412
?
5208 6117 3982 3472
Dev took the median number of steps on Wednesday.
What is the smallest number of steps that Dev could have taken on Wednesday?

Answers

Answer:

hi rashi thanks for me ok bye

3
Triangle ABC is similar to triangle DEF.
+
12 units
D
A
8 units
6 units
What is the value of k in units?
A 9 units
B 10 units
C 16 units
D 4 units

Answers

Answer:

16units is the correct answer

Find the LCD of the given rational equation: 9/x-1+-3x/x+6=4x/x^2-7x+6

Answers

Answer: the answer would be A.

(x-1)(x-6)(x+6)

Step-by-step explanation:

a p e x

The LCD of the given expression is (x-1)(x-6)(x+6).

What is LCD?

The least common denominator (LCD) is the smallest number or expression that can be a common denominator for a set of fractions.

What is the LCD in the given expression?

Factor the denominator of the right side of the equation.

[tex]\frac{9}{x-1}-\frac{3x}{x+6}=\frac{4x}{(x-1)(x-6)}[/tex]

From this, it is conclude that the common denominator will be [tex](x-1)(x-6)(x+1)[/tex].

Therefore, the LCD of the given expression is (x-1)(x-6)(x+6).

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Naitik exercised for
2/3 hours ,while Aryan exercised for
3/4
hours.Who
exercised for a longer time? step by step answer​

Answers

Answer:  Aryan spent more time exercising.

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

Explanation:

Use your calculator to convert each fraction into decimal form

2/3 = 0.67 approximately

3/4 = 0.75 exact

The decimal 0.75 is larger than 0.67, in which we can think of it like saying "75 is larger than 67".

So 0.67 < 0.75 which leads to 2/3 < 3/4.

Aryan spent more time exercising.

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

We could stop there, but if you wanted to know how much longer he spent exercising, then we subtract the two fractions to get

3/4 - 2/3

9/12 - 8/12

(9-8)/12

1/12

Aryan spent 1/12 of an hour longer exercising compared to Naitik

1/12 hour = (1/12)*60 = 60/12 = 5 minutes

He spent 5 extra minutes exercising.

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

Notes:

2/3 hours = (2/3)*60 = 40 minutes3/4 hours = (3/4)*60 = 45 minutes45-40 = 5 extra minutes of exercise

15 points, solve a right triangle. Please simplify your answers as it says in the picture.

Answers

Given:

In triangle EFG, [tex]EF=10\sqrt{2}, m\angle G=90^\circ,m\angle E=60^\circ[/tex].

To find:

The measures of FG, EG and angle F.

Solution:

In triangle EFG,

[tex]m\angle E+m\angle F+m\angle G=180^\circ[/tex]           [Angle sum property]

[tex]60^\circ+m\angle F+90^\circ=180^\circ[/tex]

[tex]m\angle F+150^\circ=180^\circ[/tex]

[tex]m\angle F=180^\circ-150^\circ[/tex]

[tex]m\angle F=30^\circ[/tex]

In a right angle triangle,

[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\sin E=\dfrac{FG}{EF}[/tex]

[tex]\sin (60^\circ)=\dfrac{FG}{10\sqrt{2}}[/tex]

[tex]\dfrac{\sqrt{3}}{2}\times 10\sqrt{2}=FG[/tex]

[tex]5\sqrt{6}=FG[/tex]

Similarly,

[tex]\sin F=\dfrac{EG}{EF}[/tex]

[tex]\sin (30^\circ)=\dfrac{EG}{10\sqrt{2}}[/tex]

[tex]\dfrac{1}{2}\times 10\sqrt{2}=EG[/tex]

[tex]5\sqrt{2}=EG[/tex]

Therefore, the required measures are [tex]FG=5\sqrt{6}, EG=5\sqrt{2}, m\angle F=30^\circ[/tex].

((-3)^2)^4
Simplify the expression wrote your answer as a power

Answers

Answer:

(-3)^8

Step-by-step explanation:

1 hour 31 minutes =
minutes

Answers

Answer:

91 minutes

Step-by-step explanation:

1 hour= 60 minutes.

31 minutes + 60 minutes = 91 minutes.

If this helps please mark as brainliest

Answer:

91 minutes

Step-by-step explanation:

1 hour = 60 minutes

60 + 31 = 91 minutes

Population Inferences

The Mitchell Junior High newspaper staff conducted two samples in which 40 students were randomly selected to represent the entire 600 member student

population. The results of the two surveys are shown below.

7:45 AM

START TIME

12

14

SAMPLE #1

SAMPLE #2

8:30 AM

START TIME

18

19

9:00 AM

START TIME

10

7

Read the headline and state of the headline is supported by the data.

OVER 300

STUDENTS

WANT TO

START AFTER

8:00 AM

A

Supported

Not Supported

Answers

Answer:

Over 300 students did not support start time after 8:00am

Step-by-step explanation:

Given

[tex]N = 600[/tex] --- population

[tex]n = 40[/tex] --- sample

See attachment for dataset

Required [True/False]

Over 300  wants start time after 8:00am

First, we calculate the number of samples that wants start time after 8:00am

[tex]x = 8:30am\ start + 9:00am\ start[/tex]

For sample 1

[tex]x_1 = 18[/tex]

The corresponding value of x1 in the overall population is:

[tex]X_1 = \frac{x_1}{n} * N[/tex]

[tex]X_1 = \frac{18}{40} * 600[/tex]

[tex]X_1 = \frac{18 * 600}{40}[/tex]

[tex]X_1 = \frac{10800}{40}[/tex]

[tex]X_1 = 270[/tex]

For sample 2

[tex]x_2 = 19[/tex]

The corresponding value of x2 in the overall population is:

[tex]X_2 = \frac{x_2}{n} * N[/tex]

[tex]X_2 = \frac{19}{40} * 600[/tex]

[tex]X_2 = \frac{19* 600}{40}[/tex]

[tex]X_2 = \frac{11400}{40}[/tex]

[tex]X_2 = 285[/tex]

None of X1 and X2 is greater than 300.

Hence, over 300 students did not support start time after 8:00am

None of X1 and X2 is greater than 300. so, over 300 students did not support start time after 8:00 am.

The population is 600 and the sample is 40.

What are Population Inferences?

The population of inference refers to the population (or universe) to which the results from a sample survey are meant to generalize.

Over 300 students did not support start time after 8:00 am

For sample 1

[tex]\rm x_{1} =18\\[/tex]

The corresponding value of x1 in the overall population is:

[tex]\rm X_{1} =\frac{x_{1} }{n} \times N\\\rm X_{1} =\frac{18}{40} \times 600\\\rm X_{1} =\frac{10800}{40}\\ \rm X_{1} =270\\[/tex]

For sample 2

[tex]\rm x_{2} =19[/tex]

The corresponding value of x2 in the overall population is:

[tex]\rm X_{2} =\frac{x_{2} }{n} \times N\\\rm X_{2} =\frac{19}{40} \times 600\\\rm X_{2} =\frac{11400}{40}\\ \rm X_{2} =285\\[/tex]

None of X1 and X2 is greater than 300.

Hence, over 300 students did not support start time after 8:00 am.

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Help.... help i don’t need a link I need someone who can help me out.

Answers

Answer:

-11/12

Step-by-step explanation:

First add the numerator

5/8 + 3/4

Get a common denominator

5/8 + 3/4*2/2

5/8 + 6/8

11/8

Then subtract the denominator

-2/3  - 5/6

-2/3 *2/2   -5/6

-4/6 - 5/6

-9/6

Then divide

11/8 ÷ -9/6

Copy  dot flip

11/8 * -6/9

Simplify

11/8 * -2/3

11/3 * -2/8

11/3 * -1/4

-11/12

PLS HELP ASAPPPP ASPAP PZLZLZ

Answers

Answer:

c???

Step-by-step explanation:

Question 1 of 12
Liam sorted music albums in his collection into three genres as shown
Genre
Rock
Country
Holiday
Count
7
3
5
Which statements identify correct ratios for the album collection Select all that apply
The ratio of holiday music albums to the entire collection is 5:10.
The ratio of rock music albums to country music albums is 7 to 3.
The ratio of rock music albums to holiday music albums is 5 to 7
The ratio of country music albums to the entire collection is 1 to 5.
There is 1 holiday music album for every 3 albums in the collection

Answers

Answer:

Step-by-step explanation:

When writing a summary about the theme you should....

A
Include the theme in the first sentence.











B
Write what the message shows you.











C
Write details about the story.











D
All of the above.

Answers

Answer: D, All of the above

Step-by-step explanation:

I think this would be all of the above but I’m sorry if it’s wrong. Hope this helps :-)

How many million bacteria were in the dish at 10 a.m.?​

Answers

Answer:

Fraction form: 1/4

Exponential form: 2^-2

Expanded form: 1/4 (Not sure if thats correct)

Step-by-step explanation:

Answer:

Its 1/4 he was right

Step-by-step explanation:

Write the number in scientific notation. 0.00000625

Answers

6.25 x 10^6

Please, someone correct me if im wrong. J trust in my answer tho, dont worry.

If im correct, mark be branliest tysm!
Have a nice day

The number 0.00000625 in scientific notation is [tex]6.25\times 10^{-6}[/tex].

To write the number 0.00000625 in scientific notation, we can follow these steps:

First Move the decimal point to create a number between 1 and 10.

In this case, we can move the decimal point 6 places to the right to obtain 6.25.

Count the number of places moved to determine the exponent.

Since we moved the decimal point 6 places to the right, the exponent will be -6.

Write the number in scientific notation.

0.00000625 can be written as  [tex]6.25\times 10^{-6}[/tex].

Therefore, the number 0.00000625 in scientific notation is [tex]6.25\times 10^{-6}[/tex].

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Three people invest at a ratio of 1:4:7. If the partnership is worth $636,000, what did
each person invest?

Answers

Step-by-step explanation:

212×3= 636 two hundred and twelve multiple by three equals six hundred and thirty six

what is a valid inference

Answers

Answer:

Deduction is inference deriving logical conclusions from premises known or assumed to be true, with the laws of valid inference being studied in logic. Induction is inference from particular premises to a universal conclusion.

Step-by-step explanation:

Find the Area of the figure below, composed of a rectangle with a semicircle
removed from it. Round to the nearest tenths place.

Answers

Answer:

Area of the figure = 25.7 units²

Step-by-step explanation:

Area of the given figure = Area of rectangle ABCD - Area of the semicircle with diameter CD

Area of the rectangle ABCD = Length × Width

                                               = BC × AB

                                               = 8 × 4

                                                = 32 units²

Area of the semicircle = [tex]\frac{1}{2}\pi r^{2}[/tex]

Here, r = radius of the semicircle

r = [tex]\frac{\text{Diameter}}{2}[/tex]

r = [tex]\frac{1}{2}(CD)[/tex]

r = [tex]\frac{4}{2}[/tex]

r = 2 units

Therefore, area of the semicircle = [tex]\frac{1}{2}\pi (2)^2[/tex]

                                                       = 2π

                                                       = 6.28 units²

Area of the given figure = 32 - 6.28

                                         = 25.72 units²

                                         ≈ 25.7 units²

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Answers

Step-by-step explanation:

always begin any problem by writing what you know

circumference is

u = 2 pi r

1)

u=3.14

r=?

3.14 = 2 pi r

Solve for r

the rest of the problems you just plug the numbers into the formula

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3. Write an equation of the line that passes through (2, 3) and is perpendicular to y=-1/2x - 5

Answers

Answer:

y=2x-1

Step-by-step explanation:

A line that is perpendicular has a slope that is a negative reciprocal of the given equation. The slope of the given equation is -1/2, so the negative reciprocal would be 2.

Then, using slope-intercept form, plug in the point values (2,3) into the equation and solve for b.

y=mx+b

y=2x+b

3=2(2)+b

-1=b

Therefore the equation is y=2x-1


A boat can travel 395 miles on 79
gallons of gasoline. How far can it travel
on 21 gallons?

Answers

86………………………………………………

What is MR?

MR =

help me plz

Answers

Answer:

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

MR = MN+NP+PQ+QR

MN=4 and MN≡QR so QR=4

PQ=6 and PQ≡NP so NP=6

MR = 4+6+6+4 = 20

Other Questions
If cos(x) = 3/5 and sin x < 0, find sin(2x) as a fraction in simplest terms. sin(2x) = It's supercalifragilisticexpialidociousEven though the sound of it is something quite atrociousIf you say it loud enough, you'll always sound precociousSupercalifragilisticexpialidociousUm diddle diddle, diddle um, diddle ay x4Because I was afraid to speakWhen I was just a ladMe father gave me nose a tweakAnd told me I was badBut then one day I learned a wordThat saved me achin' noseThe biggest word you ever heardAnd this is how it goes, ohSupercalifragilisticexpialidociousEven though the sound of it is something quite atrociousIf you say it loud enough, you'll always sound precociousSupercalifragilisticexpialidociousUm diddle diddle, diddle um, diddle ay x4He traveled all around the worldAnd everywhere he wentHe'd use his word and all would sayThere goes a clever gentWhen Dukes and MaharajahsPass the time of day with meI say me special wordAnd then they ask me out to teaOh! SupercalifragilisticexpialidociousEven though the sound of it is something quite atrociousIf you say it loud enough, you'll always sound precociousSupercalifragilisticexpialidociousUm diddle diddle, diddle um, diddle ay x2 ?Now, you can say it backwards, which is docious-ali-expi-listic-fragi-cali-rupusBut that's going a bit too far, don't you think?So when the cat has got your tongueThere's no need for dismayJust summon up this wordAnd then you've got a lot to sayBut better use it carefullyOr it could change your lifeFor example? ?Yes?? One night I said it to me girlAnd now me girl's my wife Oh, and a lovely thing she's tooShe's, supercalifragilisticexpialidociousSupercalifragilisticexpialidociousSupercalifragilisticexpialidociousSupercalifragilisticexpialidocious!-disney ABCD is a quadrilateral with A(8,21),B(10,27),C(26,26) and D(18,2). Determine whether ABCD is a trapizoid Someone please help me answer this question:( Is 864,050 divisible by 10? Hello! I need help ASAP and no links The long term result of the__ was to reinforce differences between Protestants and Catholics. Complete the analogy.Yell is to whisper as tame is to01. CalmTom02. wild3. animalo 4.scream Choose the items that CORRECTLY describe a step in the juvenile justice system.A grand jury must decide if a juvenile is to be charged with a crime.Detained juveniles must have a hearing within 72 hours.When a juvenile is taken into custody, he/she is turned over to an "intake officer" who investigates the case.A "Disposition Hearing" is held to determine the punishment for a juvenile.Juveniles found guilty of a crime must be sent to "boot camp" or "YDC."HELP BRO IM DESPERATE Is this question false? How to solve for K when given your anode and cathode equations and voltage pls helllllllllllllpppppppppp mmmmmmmmeeeeee !!!!!!Please help ASAP!!!!!AB and BC form a right angle at their point of intersection, B. If the coordinates of A and Bare (14, -1) and (2, 1), respectively, the y-intercept of AB is 4/3 and the equation of BC is y= 6 X + If the y-coordinate of point Cis 13, its x-coordinate is An increase in the atomic number____the atomic radius moving from left to right across a period.Answer here during photosynthesis plants take in___from the atmosphere and release___ back into the atmosphere 1.-Con base en el texto, reconoce el sistema de escritura al que se hace referenciaEste sistema de escritura sumerio data de 3 200 aC y surge de una necesidad tener un registro ms eficiente de datos, otras y otros aspectosde un imperio en desarrollo Con el tiempo, buscaron expresar realidades ms complejas. Para este fin utilizaron tablas de arcila hmeda, enlas que con la ayuda de un punzon (estiete) se labraban signos dispuestos en lineas horizontales. Estos no representaban sonidos, puesnicamente eran la conjuncin de imgenes Este primer sistema de escrtura fue considerado un arte desarrollado con ayuda de escridas yconsttuia un oficio al que pocos accedian1) Escritura cuneiforme2) Escritura ideogrfica3) Jeroglificos4) Petrogidos HURRY TIMED QUIZ 10 POINTSWhich of the following are real-life examples of United States foreign aid at work?i. buying textbooks for school children in Afghanistanii. water treatment facilities in Iraqiii. providing drugs to combat AIDS in AfricaA.i and ii onlyB.i and iii onlyC.ii and iii onlyD.i, ii, and iii Which of the following equations is quadratic?A.) x(x^2 + 1) = 0B.) 5(4x + 2) = 3C.) (x + 3)(x + 4) = 5 How did Rome display their power Some one plz help meh I need to understand and I dont