if 2 + 2^2 + 2^3 +...+ 2^n = 510 then n = ?

Answers

Answer 1

Answer:

N= 8

Step-by-step explanation:

Answer 2

Answer:

n = 8

Step-by-step explanation:

This Geometric series. r = 2 and a = 2

[tex]S_{n}= \dfrac{a(r^{n}-1)}{r-1}\\\\\\\dfrac{2(2^{n}-1)}{2-1}=510\\\\\dfrac{2*(2^{n}-1)}{1}=510\\\\2*(2^{n}-1) = 510\\\\2^{n-1}=\dfrac{510}{2}\\\\2^{n} - 1 = 255\\\\2^{n}=255+1\\\\2^{n} = 256\\\\2^{n} =2^{8}[/tex]

n = 8


Related Questions

if you sold 60 cups of lemonade , how many cups of orange drink did you sell

Answers

Answer: 0, I think, hope this helps

Step-by-step explanation:

Answer:

you sold 40 cups of orange drink.

Step-by-step explanation:

60*2=120 (the cups of lemonade, multiplied by the cost equals how much you earned from lemonade.)

240-120=120 (how much you earned total, minus 120, how much you earned from lemonade, equals the remainder, how much total you earned for the oragne drinks. )

120/3=40 (the amount you earned for the orange drinks, divided by three, how much you earned for each, which equals 40. and equation would be

240=2x+3y

240=2(60)+3y

240=120+3y

240-120=120-120+3y

120=3y

120/3=3y/3

40=y

Hope this helps!

Please help me to solve this question. Thank you​

Answers

Answer:

cheating in exam mmmmmmmm

the square root of negative 9 is not negative 3 because..​

Answers

Answer:

You cant have a negative square root

Explanation:

The answers will always be positive or a perfect square

Hope this Helps

1. Anthony and his sister, Ciara, are saving their money to buy $240 MP3 players. They each plan to buy their own player.
Anthony starts off with $50 in his bank account and adds $20 each week. Ciara starts off with $10 in her bank account and
adds $30 each week. Complete each of the tables below based on the information given. The first table has been started for
you.
Anthony
Ciara
Week (x)
Process
Total dollars
(y)
Week (x)
Process
Total dollars
(y)
0
50 + 20.0
50
0
1
50 + 20 1
70
1
2
2
3
3
3
4
4
5
5
8
00
8
10
10

Answers

Answer:

See below.

Step-by-step explanation:

Anthony                                                              Ciara

Week (x)    Process     Total dollars    Week (x)    Process  Total dollars

                                             (y)                                                      (y)

0                50+20•0        50                     0            10+30•0          10

1                 50 + 20•1       70                      1             10+30•1           40

2                 50 + 20•2      90                    2             10+30•2          70

3                 50 + 20•3      110                    3             10+30•3        100

4                 50 + 20•4      130                   4             10+30•4        130

5                 50 + 20•5      150                   5             10+30•5        160  

8                 50 + 20•8      210                   8             10+30•8        250

10                50 + 20•10    250                 10            10+30•10        310

Due to the accuracy of the tape measure Avani used, the amount of foam needed to cover the play area is
.

Answers

Answer:

The length of Due to the accuracy of the tape measure Avani used, the play area is 7.5 meters. The width of the play area is the amount of foam needed to cover the play area is 5.3 meters.

Step-by-step explanation:

Answer:

39.8

Step-by-step explanation:

edge 2022

The points in the table lie on a line. Find the slope of the line.

Answers

Slope is 2 keystrokes keystrokes

Answer:

[tex] - \frac{4}{5} [/tex]

Step-by-step explanation:

Slope of line

[tex] = \frac{ - 6 - ( - 8)}{ - 5 - ( - 2.5)} \\ \\ = \frac{ - 6 + 8}{ - 5 + 2.5} \\ \\ = \frac{2}{ - 2.5} \\ \\ = - \frac{20}{25} \\ \\ = - \frac{4}{5} [/tex]

2x+4 divided by 4 =8

Answers

Answer:

X = 14

Step-by-step explanation:

In pic

(Credits: Symbolab)

(Hope this helps can I pls have brainlist (crown)☺️)

May I please receive help?

Please?

Answers

Answer:

19

Step-by-step explanation:

take total divide by 5 and boom nice

Answer:  19

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

Explanation:

Let's say x is the measure of angle 1, aka angle ABC. We'll also say the variable y is equal to angle 2, aka angle CBD.

Angles x and y add to angle ABD, which is 95 degrees

x+y = 95

Since angle 2 is four times that of angle 1, we also know that,

y = 4x

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

Let's apply substitution to solve for x

x+y = 95

x+4x = 95 ... replace y with 4x

5x = 95

x = 95/5

x = 19 which is the measure of angle 1

y = 4x = 4*19 = 76

x+y = 19+76 = 95 which helps confirm the correct answer.

HELP ME PLEASE!! I"M TRYING :(

Answers

Answer:

3/8×4/5

= 3/10

...........

option a

Answer:

3/10

Step-by-step explanation:

HOPE IT HELPS U!!!!

What is the slope passing through the points (11,-5) and (1,20)

Answers

Answer:

-2.5 or -5/2

Step-by-step explanation:

To find the slope we need to find the change in y and divide it by the change in x:

m = change in y ÷ change in x

m = (-5 - 20) ÷ (11 - 1)

m = 25 ÷ -10

m = -2.5 or -5/2

Hope this helps!

pls help me with this if you can

Answers

1) Let L = the larger # and S = the smaller #.

A large # is 5 more than twice a smaller #.....This gives Eq 1) L = 5 + 2S

Their sum is 80...This gives Eq 2) L + S = 80.

Substitute Eq 1) into Eq 2), you get

L + S = 80

5 + 2S + S = 80

3S = 75

S = 75 / 3 = 25

L = 5 + 2S

  = 5 + 2(25)

= 5 + 50

 = 55

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

2) [-7,2)

- Vocabulary

· Interval

A set of values between two endpoints.

· Inequality

A mathematical expression which shows that two quantites are not equal.

Answer:

1) x = 25

2) 2(25)+5 = 55

-12<= x < 6

x <2 and x <= -7

Step-by-step explanation:

1) x

2) 2x + 5

x + 2x + 5 = 80

3x = 80 - 5

x = 75/3

x = 25

-24 <= 2x - 10

-24+10 <= 2x

-14/2 <= x

-7 <= x

2x -10< -6

2x < - 6 + 10

x < 4/2

x < 2

3 ft
10 ft
Perimeter:
Area:

Answers

Step-by-step explanation:

The area = 3 × 10 = 30

The perimeter = 2(3 + 10) = 26

please give me a brainliest answer

Can someone pls help me

Answers

9 is your answer

................................

Using Pythagorean theorem

[tex]\\ \sf\longmapsto B^2=H^2-P^2[/tex]

[tex]\\ \sf\longmapsto B^2=(√97)^2-4^2[/tex]

[tex]\\ \sf\longmapsto B^2=97-16[/tex]

[tex]\\ \sf\longmapsto B^2=81[/tex]

[tex]\\ \sf\longmapsto B=9[/tex]

Which of the following intervals is equivalent to the statement -3 1. (-3,9]
2. [-3,9)
3. (-3,9)
4. [-3,9]

Answers

Answer: choice 3

Step-by-step explanation:

Tom made $90 for 5 hours of work.
At the same rate, how many hours would he have to work to make $126?

Answers

7 Hours

Step-by-step explanation:

Very simple, 90/5 is 18, so that means Tom makes 18 dollars an hour, multiply 18 by 7 and you get 126.

(Thanks and Brainiest Appreciated)

At a pumpkin patch, if Armando guesses the weight of his pumpkin within 0.3 pounds, he gets to take the pumpkin home for free. If his pumpkin weighs 4.9 pounds, which two equations can be used to find the minimum and maximum weights he can guess in order to get his pumpkin for free

Answers

Answer:

4.6 ≤ w ≤ 52.

Step-by-step explanation:

Lowest value = 4.6 and highest = 5.2.

So weight w ≥ 4.6

and w ≤ 5.2.

What is cos(45°)?
45°
1
Cos (459) = VI?
[]
COS
=
Hint: Remember to rationalize the denominator.

Answers

Answer:

[tex]\rm \dfrac{\sqrt2}{2}[/tex]

Step-by-step explanation:

A right angled ∆ is given to us and we need to find out the value of cos 45° ( with rationalized denominator ) . As we know that in a right angle ∆ , the value of cosine is ,

[tex]\rm\implies cos\theta =\dfrac{base}{hypotenuse} [/tex]

In the given triangle ,

Value of base = 1 Value of hypotenuse = 2

On substituting the respective values ,

[tex]\rm\implies cos45^\circ =\dfrac{1}{\sqrt2} [/tex]

For rationalizing the denominator , multiply numerator and denominator by 2 , we have,

[tex]\rm\implies cos45^\circ=\dfrac{1(\sqrt2)}{(\sqrt2)(\sqrt2)} [/tex]

Simplify ,

[tex]\rm\implies \boxed{\pink{\frak{ cos45^\circ=\dfrac{\sqrt2}{2} }}}[/tex]

Can somebody pls help me I appreciate it

Answers

y=3-2x

please mark brainliest and have a nice day!

Rabbit populations can double every 30
days. If there are 10 rabbits on a farm,
how many rabbits will be on the farm
after 120 days?
First, complete the equation:
Future Amount = [?](1+10
=

Answers

160 rabbits. 120/30=4
This means you will DOUBLE the 10 rabbits 4 times.
10+10=20
20+20=40
40+40=80
80+80=160

Remember what we know about vertical angles and solve for x.
Then tell me the measure of Angle A.
(show your work)

Answers

Answer:

m<a is 32º

Step-by-step explanation:

4x-8=2x+12

   +8       +8

4x=2x+20

-2x     -2x

2x=20

÷2

x=10

4x-8

4(10)-8

40-8

32

Find the equation of the line that passes through (-1,2) and is perpendicular toy=1−2x.Leave your answer in the formy=mx+c

Answers

The answer is y=1/2x+2.5

A sunflower is 15 inches tall and grows 2 inches a week. How many weeks will it take for the
Sunflower to be 23 inches tall?
Need help making an equation!!

Answers

Answer:

4 weeks

Step-by-step explanation:

15 + 2x = 23

2x = 8

x = 4

Help meee plssss…………..

Answers

Answer:

therefore m=-3•5

Step-by-step explanation:

-39=18+4m

collect like terms

4m=18-39

4m=-14

divide both sides by 4m

m= -3•5

An umbreela is made by stitching 12 triangular piece of cloth of two different colours with each piece measuring 40cm,40cm,and 18cm.How much clothes of each is required to make the umbrella?

Answers

Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

In pic

A line passes through point (-2, 5) and has a slope of 3. Points A(x 3) and B(-2, y lie on the line.
The value of xis
and the value of yis

Answers

Answer:

x = -8/3

y = 5

Step-by-step explanation:

Finding the equation of the line:

y = 3x +c

Substituting (-2,5) into 'y=3x+c':

5 = -6 + c

c = 11

Hence,

y = 3x + 11

For finding x:

Substituting (x, 3) into 'y = 3x +11':

3 = 3x + 11

3x = -8

x = -8/3

For finding y:

Substituting (-2, y) into 'y = 3x + 11':

y = -6 + 11

y = 5

Hope this helps and be sure to have a wonderful time at Brainly! :D

How would you teach something you have learned this year in Math to someone younger than you? Write more than 5 sentences

Answers

Answer:

ok here ya go

Step-by-step explanation:

A way that I would teach someone something that I learned in math this year to someone else is simple. I would start by writing everything out so that they have a visual of what I am teaching them. I would also use a visual of a real world situation so that it relates to something they would understand. Teaching someone younger than you means they probably will not understand as easy as you understood it so, I would be very slow and make sure if they are confused to help them. I would also make sure not to be too bossy, understanding that they may not understand and that is ok.

Need help asap pls pls pls

Answers

Answer:

I would say the answer is A) y = x + 3

Step-by-step explanation:

Reason is, if you replace x with the different numbers listed under x and add 3 to them, they would equal the corresponding numbers listed under y.

For example:

x-value

(5) = (2) + 3

y-value

Hope this helps :)

A. Y=x+3 is the correct answer

Someone pls help me :c tysm if u do :))

Answers

Answer:13

Step-by-step explanation: Your going up on the number line.

Hope I was able to help! :)

add 8 to m, multiply the result by 4, then add 3 to what you have

Answers

(8 + m)4 + 3

This is ur answer have a good day

Find the measures of the following angles

Answers

Answer:

HGD: 117

FDG: 180

Step-by-step explanation:

Answer:

<HDG = 117 degrees

<FDG = 63 degrees

Step-by-step explanation:

Its a straight line

These are supplementary angles

If its a striaght line its 180 degrees.

We already know theres a 63 degrees so we jsut gotta subtract

180-63=117

So 117 degrees for HDG

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