Write an explicit function in terms of n that describes the following sequence:
−2, 4, −8, 16, −32, 64

Answers

Answer 1

Answer:

aₙ = -2(2)^(n-1)

Step-by-step explanation:


Related Questions

Solve log2 x = log5 3+1 by graphing. round to the nearest tenth

Answers

Answer:

the answer is 3.2

Step-by-step explanation:

x≈3.2

Can someone plz help me on this plz I beg u

Answers

Answer:

8

Step-by-step explanation:

So, lets go over a few things:

First off, all triangles have a total angle of 180 degrees.

Secondly, we know that the first two angles are 57 and 51.

Thirdly, we know that the missing angle is 9x

To solve this, we must add together the known angles, subtract them fro 180, and divide that by 9. This will give us the missing x value.

So, add together the two angles we know:

57+51

=

108

So we know 108 degrees of our triangle. We must find whats left of the 180.

To do this, subtract 108 from 180:

180-108

=

72

So our remaining angle is 72 degrres.

But recall that x isnt the misisng angle, 9x is.

So, to get x on its own, we must divide both the missing angle and 9x by 9:

72=9x

---  ---

9   9

=

8=1x

So now we know that x equals 8.

I hope this helps! :)

Answer:

X = 8

Step-by-step explanation:

Okay so we know that there are a total of 180 degrees in every triangle. We need to create the equation to define the triangle's angles. 51 + 57 + 9x = 180. Then, we will solve for x.

180 = 51 + 57 + 9x  we are going to simplify the equation by solving what we can

180 = 108 + 9x         * Now we will isolate x

180 - 108 = 9x          * Solve the left side of the equation

72 = 9x                     * Divide both sides by 9

8 = x                    

A hospital recorded the weights, in ounces, of newborn babies for two weeks. The

results are listed below.

Weights of babies born during week one: 128, 105, 80, 82, 96, 98, 87, 100, 112, 126

Weights of babies born during week two: 75, 85, 90, 97, 89, 105, 110, 127, 129, 130

Which statement is true?

Answers

Answer:

The standard deviation for week two was about 3 ounces more than the standard deviation for week one

Step-by-step explanation:

Given

[tex]Week\ 1: 128, 105, 80, 82, 96, 98, 87, 100, 112, 126[/tex]

[tex]Week\ 2: 75, 85, 90, 97, 89, 105, 110, 127, 129, 130[/tex]

See attachment for options

Required

The true statement

Checking the standard deviation

For week 1

Calculate the mean:

[tex]\bar x = \frac{\sum x}{n}[/tex]

[tex]\bar x = \frac{128+ 105+ 80+ 82+ 96+ 98+ 87+ 100+ 112+ 126}{10}[/tex]

[tex]\bar x = \frac{1014}{10}[/tex]

[tex]\bar x_1 = 101.4[/tex]

Then standard deviation

[tex]\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n}}[/tex]

[tex]\sigma_1 = \sqrt{\frac{(128 - 101.4)^2 +............+ (126- 101.4)^2}{10}}[/tex]

[tex]\sigma_1 = \sqrt{\frac{2522.4}{10}}[/tex]

[tex]\sigma_1 = \sqrt{252.24[/tex]

[tex]\sigma_1 = 15.88[/tex]

For week 2, we have:

[tex]\bar x = \frac{75+ 85+ 90+ 97+ 89+ 105+ 110+ 127+ 129+ 130}{10}[/tex]

[tex]\bar x = \frac{1037}{10}[/tex]

[tex]\bar x_2 = 103.7[/tex]

Then standard deviation

[tex]\sigma_2 = \sqrt{\frac{(75 - 103.7)^2 +................+ (130- 103.7)^2}{10}}[/tex]

[tex]\sigma_2 = \sqrt{\frac{3538.1}{10}}[/tex]

[tex]\sigma_2 = \sqrt{353.81[/tex]

[tex]\sigma_2 = 18.81[/tex]

Compare the standard deviations

[tex]\sigma_1 = 15.88[/tex]

[tex]\sigma_2 = 18.81[/tex]

Calculate the difference:

[tex]d = \sigma_2 - \sigma_1[/tex]

[tex]d = 18.81 - 15.88[/tex]

[tex]d = 2.93[/tex]

[tex]d \approx 3[/tex]

This implies that option (b) is true

PLEEEEASEEE HELP ASAP

In the diagram, the measures of ∠1 and ∠4 are 105°. The measures of ∠5 and ∠8 are 115°. Are lines c and d parallel

a p e x

Answers

Answer:

a

Step-by-step explanation:

Answer:

Option A

Step-by-step explanation:

I just got done with this same quiz and i got a 100 .

If a town with a population of 2000 doubles in size every 89 years what will the population be 267 years from now

Answers

Answer:

8,000 or 8·10³

Step by Step:

2000+2000=4000

4000+4000=8000

8000 or 8·10³

Answer:

16000

Step-by-step explanation:

This is essentially is asking 'What is 2000 * 2 * 2 * 2?'.

May I have Brainliest?

Hope that this helps!

Find the missing values in the Table of Values. Write your numbers from top to bottom in the space below with a comma between each value.

PLEASE DON'T GIVE A LINK OR DELETE THE ANSWER BECAUSE THIS IS MY SECOND TIME POSTING THIS SO PLS PLS PLS GIVE A PROPER ANSWER TO ALL OF THE PICTURES.

Answers

Answer:

Alright, with this, its essentially asking for you to plug in X into each equation for the answer.

With the first box, it asks for y = 5 - x, given the x = -2.

y = 5-x

y=5-(-2)

y=5+2

y=7

With the second box down, it wants things a bit differently, it gives you the y value, and wants for you to find the x. Given this, this question can be done backwards for the x value.

y = 5-x

6 = 5-x

x+6= 5

x=-1

With the third one, its the same thing as with the first box.

y = 5-x

y = 5-0

y = 5

Same thing with the fourth one.

y = 5-1

y = 4

If you have any question about the process or the answer, please comment below and I can help explain on what you're stuck on.

Answer:

Picture 1: (-2, 7), (-1,6), (0,5), (1,4)

Picture 2: (-2, -6), (4,6), (0,-2), (1,0)

Picture 3: (-1, -4), (8,5), (1,-2), (5,2)

if peter has 27 apples and gives Tim 7, how much does peter have?​

Answers

Answer: 20

Step-by-step explanation:

27 apples - 7 apples = 20 apples

Answer:

Peter has 20 apples

Step-by-step explanation:

27 - 7 = 20

A 16 ft ladder leans against a wall so that the base of the ladder is 5 ft away from the base of the wall. How far up the wall does the ladder reach.

Answers

Answer:

The ladder would reach 15.2 feet up

A chord consists of notes that sound good together. The C major chord starting at middle C has the following frequencies: C - 262 Hz E - 330 Hz G - 392 Hz determine the ratio of the frequency of E to C. Express the answer in a simple integer ratio. How many E waves will fit in the length of four C waves. a. 2 b. 3

Answers

Answer:

The frequency of note E is:

f(E) = 330 Hz

The frequency of note C is:

f(C) = 262 Hz

The ratio of the frequency of note E to the frequency of note C is just the quotient of these two frequencies:

r  = f(E)/f(C) = 330Hz/262Hz = 330/262 = 1.26

Now, we want to find how man E waves will fit in the length of four C waves.

Note that here the word "length" is used, so we need to work with the wavelengths, not with the frequencies.

For waves, we have the relationship:

v = f*λ

where:

v = velocity (in this case, velocity of the sound = 343 m/s)

f = frequency

λ = wavelength.

So, the length of a single E wave is:

λ(E) = (343 m/s)/(330 1/s) = 1.04 m

And the length of a single C note is:

λ(C) = (343 m/s)/(262 1/s) = 1.30 m

In four C waves, the length is:

4*λ(C) = 4*1.30m = 5.2m

The number of E waves that fit in the length of four C waves is equal to the quotient between the length of four C waves and one E wave:

N = (4*λ(C))/(λ(E) ) = (5.2 m)/(1.04m) = 5.14

So we can fit 5 E waves into four C waves.

Answer:

The ratio of the frequency of E to C can be found by dividing the frequency of E by the frequency of C:

330 Hz / 262 Hz ≈ 1.26

To express the answer in a simple integer ratio, we can divide both 330 Hz and 262 Hz by their greatest common factor, which is 2:

330 Hz / 2 = 165 Hz

262 Hz / 2 = 131 Hz

So the ratio of the frequency of E to C is:

165 Hz / 131 Hz = 15/12 ≈ 1.25

This ratio is approximately equal to 5/4

Therefore, the answer is (A) 5 to 4

Liam bought a sandwich for $4.75, a bag of chips for $2.30, and a drink for $1.15. The tax was $0.65. He gave the cashier $10.00. How much change should Liam have receive

Answers

answer:
$1.15

step-by-step explanation:
4.75 + 2.30 + 1.15 + 0.65
8.85
10.00 - 8.85
1.15

If f(1)=3 and f(n)=3f(n-1) then find the value of f(6).

Answers

Answer:

(n-1)

Step-by-step explanation:

URGENT THIS IS FOR FINALS CAN SOMEONE PLZ SOLVE IT I will brain list​

Answers

Answer:

were is the line

Step-by-step explanation:

Answer:

1- y=2x-5

2- y=-1/6x-5

Hope this helps you!!

-2/3m = 12 solve for m

Answers

Step-by-step explanation:

[tex]\\ \:\:\:\:\sf {:}\dashrightarrow \dfrac{-2}{3m}=12[/tex]

use cross multiplication

[tex]\\ \:\:\:\:\sf {:}\dashrightarrow -2=3m\times 12[/tex]

[tex]\\ \:\:\:\:\sf {:}\dashrightarrow -2=6m[/tex]

[tex]\\ \:\:\:\:\sf {:}\dashrightarrow m=\dfrac{-2}{6}[/tex]

[tex]\\ \:\:\:\:\sf {:}\dashrightarrow{\underline{\boxed{\bf{ m=-\dfrac{1}{3}}}}}[/tex]

your school is having a fundraiser in order to pay for t-shirts. They need to raise $882.69. They have already collected $92.85 in donations. Their goal is to have $190 donated each week. How many weeks do they need to fundraise?

Answers

first, find how much money they need more by subtracting $882.69 by $92.85
= $786.84
then divide by $190
= 4.14
= 5
therefore they need to fundraise for 5 weeks

There is 5 weeks do they need to fundraise.

What is the inequality?

Inequality is a Mathematical statement that shows the relation between two expressions using the inequality symbol.

Your school is having a fundraiser in order to pay for t-shirts.

They need to raise $882.69.

They have already collected $92.85 in donations.

Their goal is to have $190 donated each week.

Let, x be the number of weeks do they need to fundraise.

The number of weeks do they need to fundraise is given by;

[tex]\rm 92.85 +190x > 882.69\\\\190x > 882.69-92.85\\\\ 190x > 789.84\\\\x > \dfrac{789.84}{190}\\\\x > 4.15[/tex]

Hence, there is 5 weeks do they need to fundraise.

Learn more about inequality here;

https://brainly.com/question/15140706

#SPJ2

Jenna multiplied four numbers together and then divided by -2. The result was a positive value.

Which of the following statements MUST be true?

A) An odd number of factors were negative.
B) None of the factors were negative.
C) An even number of factors were negative.
D) All of the factors were negative.

Answers

Answer:

c

Step-by-step explanation:

PLEASEEEE HELPPP MEEE.
DUE RIGHT NOW!!

Topic: Math
Solve all the questions

Answers

Answer:

1. x= 9

2. x= −2

3. 51 inches

4. $213.11 each month

Step-by-step explanation:

1. Simplify both sides of the equation.

x + 7 + 7x= 25 + 6x

Combine Like Terms

(x + 7x) + (7)=6x + 25

8x + 7= 6x + 25

8x + 7= 6x + 25

Subtract 6x from both sides.

8x + 7 − 6x= 6x + 25 − 6x

2x + 7= 25

Subtract 7 from both sides.

2x + 7 − 7= 25 − 7

2x= 18

Divide both sides by 2.

2x/2= 18/2

2.  Subtract 5x from both sides.

x − 5x= 5x + 8 − 5x

−4x= 8

Divide both sides by -4.

−4x/−4= 8/−4

3. First find the perimeter of the trapezoid

4 + 3 + 4 + 8= 19

A square has all equal sides

8 * 4= 32

Add them together

19 + 32 = 51 inches

4. Subtract the amount she put for finance from the total

1598.66 - 320 = 1278.66

Then divide that amount by the 6 months

1278.66 divided by 6 = 213.11

$213.11 each month

Logan has $63 and would like to purchase as many packs of baseball cards as possible to add to her collection. Part A An advertisement in the newspaper shows that each pack of cards costs $1.75. At this price, how many packs of cards can Logan buy? Write the answer in the box. packs

Answers

Answer:

36 card

Step-by-step explanation:

because 1 card cost $1.75 and Logan has $63, just divide 63 by 1.75 to get the answer

63÷1.75 =36

Jeffrey's recipe for oatmeal muffins calls for 2 3/4 cups of oatmeal and makes one dozen muffins. If he makes 2 dozen muffins for a club meeting and 1 1/2 dozen muffins for a family reunion, how much oatmeal will he use?

Answers

Answer:

                              5

Jeffrey will use 9  __ cups of oatmeal

                              8

Step-by-step explanation:

2.75 cups of oatmeal per 1 dozen

2.75 x 2 = 5.5

2.75 + 2.75(1/2) = 4.125

add

5.5 + 4.125 =

9.625 cups of oatmeal

              or

9 5/8 cup

The surface area of a sphere is 200.96 square centimeters. What is the approximate volume of the sphere? Use 3.14 for π. Round your answer to the nearest hundredth. A. 696.99 cm3 B. 133.97 cm3 C. 267.95 cm3 D. 334.94 cm3

Answers

Answer:

267.95cm^3

Step-by-step explanation:

S= 4πr^2

Surface area is 200.96

π= 3.142

200.96= 4×3.142×r^2

200.96= 12.57r^2

r^2= 200.96/12.57

= 15.99

= √15.99

r = 3.9

Volume= 4/3πr^3

= 4/3× 3.142×3.9^3

= 267.95 cm^3

Rocco has a weekly reading schedule, reading for 4.5 hours per day on some days and 3.5 hours per day on the other days. He reads a total of 25.5 hours in a seven-day week. On how many days does he read for 4.5 hours?

Answers

Answer:

x = days he reads for 4.5 hours = 1 day

y = days he reads for 3.5 hours = 6 days

Step-by-step explanation:

Let

x = days he reads for 4.5 hours

y = days he reads for 3.5 hours

x + y = 7 (1)

4.5x + 3.5y = 25.5 (2)

From (1)

x = 7 - y

Substitute x = 7 - y into (2)

4.5x + 3.5y = 25.5 (2)

4.5(7 - y) + 3.5y = 25.5

31.5 - 4.5y + 3.5y = 25.5

- 4.5y + 3.5y = 25.5 - 31.5

-y = -6

y = 6

Substitute y = 6 into (1)

x + y = 7 (1)

x + 6 = 7

x = 7 - 6

x = 1

x = days he reads for 4.5 hours = 1 day

y = days he reads for 3.5 hours = 6 days

Justin likes to get 7 hours of sleep. He woke up after sleeping for 5 1/3 hour. How many more hours does he need to get the amount of sleep he likes?

Answers

Answer:

He needs 1 hour 40 minutes more to get the amount of sleep he likes or 1 2/3 hours

Step-by-step explanation:

Justin likes to get 7 hours of sleep.

He woke up after sleeping for 5 1/3 hour = 5 hours 20 mins

Number of more hours needed to get the amount of sleep he likes= 7 hours - 5 1/3 hours.

1 hour = 60 minutes

1/3 hours = 60/3 = 20 minutes

Hours         Minutes

7                     00       when we borrow 1 hour we borrow 60 minutes

5                    20

1                   40

He needs 1 hour 40 minutes more to get the amount of sleep he likes

or 1 2/3 hours

What is the solution to the inequality -3x - 5 < -20?

Answers

Answer: x>5

Step-by-step explanation: Hope this help :D

please help me dont add a link you'll get reported

Answers

Answer:

D, 245.0 in^2

Step-by-step explanation:

Formula for the surface area of a cylinder: A=2πrh+2πr^2

A = 2πrh + 2πr^2

A = 2π(3)(10) + 2π(3)^2

A = 60π + 18π  

A = 245.044

Answer:

???/

Step-by-step explanation:

Solve for x in the diagram below.

Answers

Step-by-step explanation:

x+(3x+10)=90

4x+10=90

4x=80

x=20 Ans


A. 65
B. 30
C. 10
D. 50

Answers

Answer:

50

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

D. 50

Step-by-step explanation:

∠CGF and ∠AFG add up 180° because they are same side interior angles. We can write an equation to model the situation:

m∠CGF + m∠AFG = 180°

And, we can substitute:

3x - 20 + x = 180

4x - 20 = 180

4x = 200

x = 50

Can you solve this for x? 7x-1

Answers

Answer 1/7 hope it helps

if i get 1 dollar every 2.4 hours how long will it take to get 30 dollars

Answers

Answer:

72 hours to get 30 dollars

Step-by-step explanation:

30 x 2.4 = 72 hours

2.4x30 equals 72 so it would tke 72 hours

hope this helps

Help me plsssssssssssssssss

Answers

THE ANSWER TO X IS 14

1-3x+15
-3x=12/3=4
2-5x-45
+5=50/5=10
3-4+10=14

PLS HELP DUE ASAP! WILL MARK BRAINLIEST

Answers

Answer:

24º

Step-by-step explanation:

C = (1/2)(56 + 116)

C = 86

4x - 10 = 86

4x = 96

x = 24

In a hurry
A wire is suspended between two poles. Function f, defined by the given table, represents the elevation, in feet, of a wire at a point x feet from the first pole. x 0 2 4 6 8 10 12 14 16 f(x) 28 26.25 25 24.25 24 24.25 25 26.25 28 Which statement is supported by the table? A. The two poles are 8 feet apart. B. At its lowest point, the wire is 24 feet above the ground. C. At its lowest point, the wire is 8 feet above the ground. D. The two poles are 24 feet apart.

Answers

Answer:

B. At its lowest point, the wire is 24 feet above the ground

Step-by-step explanation:

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