1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ohaa [14]
2 years ago
15

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

Mathematics
2 answers:
jonny [76]2 years ago
5 0

Answer:

N= 8

Step-by-step explanation:

Bumek [7]2 years ago
3 0

Answer:

n = 8

Step-by-step explanation:

This Geometric series. r = 2 and a = 2

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}

n = 8

You might be interested in
Write the following integers in a decreasing order. 1. 0,7,-3,9,-132,36​
Elan Coil [88]
ANSWER:
36 > 9 > 7 > 0 > -3 > -132

Hope it helps u!
6 0
3 years ago
Read 2 more answers
A scientist measured the amount of rain that fell in a town during
allochka39001 [22]

Answer:

1.47 mm

Step-by-step explanation:

In week 1 there was 2.6 mm

In week 4 there was 4.07

You want to find the difference of week 1 and 4 meaning you have to subtract week 4's value from week 1's to find how much more rain there was in week 4 than week 1

You would do 4.07-2.6

This is equal to 1.47

THEREFORE there was 1.47 mm more rain in week 4 than week 1

6 0
3 years ago
A water company charges a connection fee each month of $22 and an additional $2.30 per cubic foot of water used. Which function
EastWind [94]

Answer

Find out the total monthly charges for x cubic feet of water used .

To prove

As given

A water company charges a connection fee each month of $22 and an additional $2.30 per cubic foot of water used.

Than the equation become

Total monthly  charges for x cubic feet of water used = Monthly connection fee + charges for x cubic feet of water

thus

f(x) = 22  + 2.30x

where x is the  x cubic feet of water used .

Therefore Option (B) is correct i.e f(x) = 22  + 2.30x .



4 0
3 years ago
Read 2 more answers
Four girls have 2.20 to share equally. How much money will each girl get?
Nata [24]

Answer:

0,55

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The perimeter of a rectangle downtown courtyard is 174 feet. The width of the rectangle is twice the length. Find the length and
kirill [66]

Answer:

Step-by-step explanation:

L = Length

W = Width

W = 2L

   2W + 2L = 174

2(2L) + 2L = 174

            6L = 174

              L = 29 ft

W = 2(29) = 58 ft

5 0
3 years ago
Other questions:
  • A family drives 412 miles in 110 of an hour. What is their rate of speed in miles per hour?
    11·1 answer
  • Help please I can’t figure this one out
    8·2 answers
  • What is 12(x+9)=-108
    14·2 answers
  • the smith have 2 children. the sum of their ages is 21, and the product of their ages is 110. how old are the children
    12·1 answer
  • What are the solutions of the inequality graph the solutions -12r<-24
    7·1 answer
  • the sum of nine times a number and fifteen is less than or equal to the sum of twenty four and ten times the number
    5·1 answer
  • Draw a diagram that shows how the expression can represent the area of a figure 8(3x-1)
    15·1 answer
  • Ming won 121 lollipops playing
    5·2 answers
  • Stephanie thinks of a positive number.
    7·2 answers
  • A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 5 inches. The height of the cone is 15 inc
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!