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

Can y’all help me this for my homework

Answers

Answer:

12.5 km per litre

Step-by-step explanation:

Calculating the amount of kilometres per litre:

Since 507km requires 40.5 litres:

1 litre would require 507/40.5

= 12.5185185

≈ 12.5km per litre

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

Evaluate. 2 > 8 - 4/3h

Answers

Answer: h>9/2

Step-by-step explanation:

A cyclist rides her bike at a rate of 30 miles per hour. What is this rate in kilometers per hour? How many kilometers will the cyclist travel in 5 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.

Answers

Answer:

48240

Step-by-step explanation:

Part one

1 mile per hour = 1.60 kilometers per hour

30 miles per hour = ?

Step 1: Set up a fraction.

The units must be on the same level. And the rate in KM (kilometer) per hour will be a variable, "[tex]k[/tex]". It does not matter whether they are top or bottom.

[tex]\frac{1.60}{1} = \frac{k}{30}[/tex]

As you can see, 1 mile per hour and 30 miles per hour are at the same level, leaving the rest on the same level, as well.

Step 2: Solve

[tex]\frac{1.60}{1} = \frac{k}{30}[/tex]

Cross multiply

1.60 × 30 = 48

1 × k = 1

Therefore, the rate is 48 kilometers per hour.

Part 2

This part is mainly the same as the first part. Fractions. However, since we've already found out the answer for part one, it will be simple.

Step 1: Multiply the result to 5.

48 × 5 = 240

Therefore, the cyclist will travel 240 kilometers in 5 hours.

240km

Step-by-step explanation:

First, to make everything more clear, rewrite it like this-

1 mile = 1.6km

So we have to multiply 30 (miles) by 1.6 (km)

30 x 1.6 + 48

So it is 48km per hour, now we have to calculate how many km does she ride in 5 hours.

We have to multiply 48 by 5 which equals 240

So the answer is 240km

plzz help me with this question

Answers

Answer:

The answer to this question is C

[tex]y = \frac{3}{2} x + 7 \\ \\ y = \frac{1}{2}x + 1 [/tex]

please help me with this

Answers

Answer:

Step-by-step explanation:

sum of angles of a triangle=180°

9x-2+3x-19+3x+6=180

15x-15=180

15x=180+15=195

x=195/15=13

m∠G=9x-2=9×13-2=117-2=115°

a line containing the points (4, y) and (-3, 2) has a slope of 3/2.

Answers

Answer:

y=14.5

Step-by-step explanation:

A slope of 3/2 means that for every unit it moves to the right, it will move 1.5 units up. The x of 4 is 7 more than the -3 of our other point. 7*1.5=12.5, and 12.5+2=14.5.

HELP RN PLEASE!!!!!!!!​

Answers

What is the question

Step-by-step explanation:

this is the answer

hopes it helps

Can someone help me please thank you

Answers

Di ko alam Yan sorry

Step-by-step explanation:

Bobo ako eh ML nalng Joke lang Tanong nalng kayo Ng iba

Answer:

152

Explination:

this is answer

Brainliest answer: thx(:

HELP PLEASE!!
Write a recursive rule for an=1/3•4^n-1

A.) an=1/3•an-1
B.) an=4•1/3an-1
C.) an=1/3•4an-1
D.) an=4•an-1

Answers

Answer:

D.) an = 4 * an-1

Step-by-step explanation:

a(n) = (1/3) * 4^(n-1)

a(n-1) = (1/3) * 4^(n-1-1) = (1/3) * 4^(n-2)

Thus,

a(n) = (1/3) * 4 * 4^(n-2) = 4 * [(1/3) * 4^(n-2)] = 4 * a(n-1), so that

a(n) = 4 * a(n-1).

in fiq Q.3 measure the angle which the ladder makes with (I) the ground (2) the wall​

Answers

Step-by-step explanation:

for measuring the angle use the protractor !

Ken bought a new car and had to borrow $6,500 from the bank. The bank charged
Ken 3.7% in simple interest for the 5 years Ken had the bank loan. What's the total
amount Ken will have to repay the bank?

Answers

Answer: 65005.037

Step-by-step explanation:

I=?

P=6,500

R=037

T=5 years

 I=  6,500+037+5= 65005.037

Do the ratios 2/1 and 18/10 form a proportion?

Answers

Answer:

2

9/5

Step-by-step explanation:

2/1 = 2

18/10 (divide by 2 up and down) = 9/5

PLEASE HELP ME!! I’ll give brainliest!!

Rena sells candles. The graph shows the number of candles sold and the
income from the sales. It represents a linear function.

Which statement best describes Rena's income from selling these candles?

A. She gets $6 per candle.
B. She gets $6.50 per candle.
C. She sells 6 candles per dollar.
D. She sells 6.5 candles per dollar.

Answers

Answer:

B.) She gets $6.50 per candle.

Step-by-step explanation:

19.5 (the price of 3 candles) divided by 3 is 6.5.

is is B

you find the slope by doing y2-y1 over x2-x1

that becomes 58.5-19.5 over 9-3 which equals 6.5

is 5(1/5^3) = 5(5^3)

Answers

Answer:

5(1/5^3) ≠ 5(5^3)

Step-by-step explanation:

5(1/5^3) = 5(5^3)

5/27 = 625

5(1/5^3) ≠ 5(5^3)

The sides aren't equal, so this equation is FALSE.

Answer:

Step-by-step explanation:

Short answer: No they are not the same.

5 * 1/5^3 = 1/5^2. One of the 5s in the denominator cancels out.

5^1 * 5^3 = 5^(1 + 3) = 5^4. Nothing cancels here. The powers add.

I need the answer and why

Answers

Answer:

66

Step-by-step explanation:

Express the values below I’m scientific notation 52,800g, 255.6m, 0.04109cm!?

Answers

Answer:

1) 5.28 x 10^4 g

2)2.556 x 10^2 m

3)4.109 × 10^-2cm

Have a nice day!!!!!

Answer:

52,800 in scientific notation is [tex]5.28[/tex] × [tex]10^4[/tex].

255.6 in scientific notation is [tex]2.556[/tex] × [tex]10^2[/tex].

0.04109 in scientific notation is [tex]4.109[/tex] × [tex]10^{-2}[/tex].

how to solve the attachment question?

Answers

Answer:

y = 100 - 0.08^ x

Step-by-step explanation:

What is the equation of the line in point slope form with a slope of m=-2/3 passing through the point (-5,-2)

Answers

Answer:

[tex]m=− 32​ ≈−0.666666667[/tex]

Step-by-step explanation:

What is the significance of a correlation coefficient of − 0 . 97 ?

Answers

Answer:

The points all lie very close to the line of fit, and the

line is decreasing.

Step-by-step explanation:

Brainliest maybe

Answer: A.) The points all lie very close to the line of fit, and the line is decreasing.

What is a correct congruence statement for the triangles shown?
Enter your answer in the box.
ΔQDJ=Δ____

Answers

Answer:

GAP but if not that AGP

Step-by-step explanation:

Answer:

ΔQDJ ≅ GAP

Step-by-step explanation:

Use the order of corresponding vertices.

Q and G, D and A, J and P are corresponding considering the marks on the lines.

ΔQDJ ≅ GAP

What is the answer for x?

Answers

The value of x is 5 by using external angle

Answer:

Step-by-step explanation:

The triangle’s angles add up to 180 degrees

so 40 + (16x + 2) + ∠C = 180

The straight angle is 180°

so ∠C = 180 - (23x + 7)  

∠C = 180 - 23x -7

∠C = 173 - 23x

and then 40 + (16x + 2) +(173 - 23x) = 180

40 + 16x + 2 + 173 - 23x = 180

215 - 7x = 180

-7x = 180 - 215

-7x = -35

x = 5

please give me a brainliest answer

write the equation of the line parallel to the given line y = 2x - 4

Answers

Answer:

y=2x-8

Step-by-step explanation:

Plot the line and use the parallel slope to create the line and then find the y-intercept

Jones needs to travel from Town A to Town B in 2 hours. If the distance between between two towns is 320km. At what speed will Jones need to drive?

Answers

Answer:jone cần lái xe với tốc độlà:

Step-by-step explanation:   320/2=160(km/h)

Simplify to create an equivalent expression
-5(3p+3) + 9(-7+p)
The answers are:
A)-5p-78
B)-6p-78
C)-6p-48
D)-6p+78

Answers

The answer is B. -6p-78. Pls mark brainliest.

I need a answer PLEASE

Answers

Answer:

it's the third one. x=47/3

Step-by-step explanation:

if needed in decimal form: 15.666

mixed number form: 15 2/3

Answer:
It’s option 3: x = 47/3

Explanation:
When cross multiplied, it becomes
7*8 = 1 * 3x+9
56 = 3x+9
Subtracting on both sides,
56-9 = 3x+9-9
47 = 3x
Dividing on both sides,
47/3 = 3x/3
47/3 = x

I hope you understand

What is an equation of the line that passes through the points (2,6) and (1, 1)?

Answers

Answer: y=5x+b

Step-by-step explanation:

I used the slope intercept equation, which supplied me the solution.

m=5

b=0

LY!
Fill in the missing numbers to complete the pattern:
2.6, 3.1,
4.6, 5.1

Answers

The pattern is adding 0.5 each time. So the missing values are:
3.6 and 4.1

Hooke’s Law for an elastic spring states that the distance a spring stretches varies directly as the force applied. If a force of 180 newtons stretches a spring 5 cm, how much will a force of 270 newtons stretch the same spring?

Answers

Answer:

7.5m

Step-by-step explanation:

Set up a proportion and cross multiply to find the unknown

Hope this helps

The elongation of spring by 170 newtons force maintaining the given ratio is 7.5 cm.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given question,

Elongation of spring in 180 newtons = 5 cm

The ratio of elongation to force applied = 5/180

The force the second time is 270 newtons.

Let's say the elongation at this time is x cm.

The ratio of elongation to force applied = x/270

Both ratios must be the same.

Therefore,  x/270 = 5/180

x = 270/36 = 7.5 cm

Hence "The elongation of spring by 170 newtons force maintaining the given ratio is 7.5 cm".

For more information about ratios and proportions,

brainly.com/question/26974513

#SPJ5

Solve the equation. 9 ( − 2 ) =

Answers

Answer:

- 18

Step-by-step explanation:

9 ( - 2 )

= 9 x ( - 2 )

= - 18

Therefore, - 18 is the answer of the given equation.

Answer:

-18

Step-by-step explanation:

the parentheses mean to multiply, so 9 times 2 is 18, but since it is a negative and a positive that you're multiplying, then it would be negative 18

Simplity using properties of exponents. Write your answer using a
single whole number exponent and the same base as given in the
expression below.

Answers

Simplifying Expressions Using the Properties of Exponents (Four Examples)Daniel Ozimek

Other Questions
uh help me rn. :,) i have no idea what this is. I think that twixt the negroes of the South and the women at the North, all talking about rights, the white men will be in a fix pretty soon. "Aint I a Woman?," Sojourner Truth Which of the following choices best describes the syntax in this quotation? complex simple what did a homecoming queen in brooklyn, mississippi recently give to a homecoming nominee in honor of her late mother? what quadrant is 4,6 in? 2. is/ she/ as/ Mai/ easy-going/ not/ as Political Machines According to the readings, would you consider life in the cities during the Gilded Age to be a positive or negative experience Defend your opinion . please help ill give brainiest to the best answer.........Explain the rhyming couplet in your own words. Write the slope intercept form of the equation given the slope of 4 and the y interceptof (0,-2) Part A and Part C the same? Why or why not? After World War I, did consumerism increase or decrease? 1. Think about the character you used during the Living the Great Depression"activity. Is your character male or female? How old is your character? Whatis your character's position in life? What is your character's background?Does your character have other people who are dependent on him or her?Everything about a person and his or her background can influence thethoughts and opinions a person has.2. Next, think of all the details about your character and how they mightinfluence his or her opinions. Fill out a RAFTS chart to identify yourcharacter's point of view when telling about his or her experiences duringthe Great Depression. In doing this, you will need to decide who yourcharacter is going to communicate with in this assignment because youwill be writing a letter reflecting on your situation and your opinions aboutit.3. Acting as if you were your character, write a letter to the person you haveidentified as your audience (perhaps a teacher would be best). In your letter,make sure that you write using your character's point of view and voice.Also, make sure to include whatever feelings you may have had when youwere in that person's role. what is the expanded form of 203,574 Match the questions and answers. Refreshments sold to the passengers were dirty-looking, handedby dirtier hands, coming out of filthy receptacles and weighed inequally unattractive scales. These were previously sampled bymillions of flies.How does the phrase "sampled by millions of flies" affect themeaning of the essay?The phrase creates an image of the refreshmentsO covered with many flies, which implies anunappetizing and inedible selection of food.The phrase emphasizes the extraordinary smell ofo the refreshments, which implies that flies wereattracted to them.The phrase relates how millions of flies flew into theO train compartments, which implies that the train'swindows were left open.The phrase indicates that the train's passengerswere unfazed by the flies, which implies the d. Period 3 element with 6 valence electrons No false answers, get it right, you get brainliest and all that stu*pid stuff like that, just help me, it's the last question! what do the symbols on a fire extinguisher indicate Match the situation to the most appropriate graph #7 A student conducts an experiment in which she drops objects, each with a different mass, all from the same height. She uses a stopwatch and records the time it takes for each object to hit the ground. Which of the following is the Independent Variable in her experiment? What is the source of the magma that erupts from a volcano?outer coreinner coremantleEarth's oceans