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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

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You are traveling in a car. Your speed is 40 miles per hour. What is your speed in feet per minute?
Korvikt [17]

Answer:

3520.176 feet per minute

Step-by-step explanation:

First, we must convert 40 miles per hour (mph) to miles per minute (mpm):

40 mph = 40 miles/hour / 60 minutes/hour = 0.6667 miles per minute

Next, we convert miles per minute to feet per minute by multiplying 5280 ft per mile:

0.6667 mpm = 0.6667 miles/minute * 5280 ft/mile = 3520.176 feet per minute

8 0
2 years ago
A hardware store rents vacuum cleaners that customers may use for part or all of a day, up to 12 hours, before returning. The st
jek_recluse [69]

The flat fee that the store charges is $14 and the cost for 7 hours is $56

A linear equation is on the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

let f for the total rental cost of a vacuum cleaner for x hours

Using the points (1, 20) and (3, 32) from the table:

f-f_1=\frac{f_2-f_1}{x_2-x_1} (x-x_1)\\\\f-20=\frac{32-20}{3-1} (x-1)\\\\f(x)=6x+14

The flat fee that the store charges is $14

The reasonable domain is 1 ≤ x ≤ 12

The cost for 7 hours is:

f(7) = 6(7) + 14 = 46

Find out more on linear equation at: brainly.com/question/14323743

4 0
2 years ago
These numbers are common multiples of ________.
Ksenya-84 [330]
The answer is B) 2 and 3
5 0
3 years ago
Juan ramirez sells suits in a major department store on weekends. He earns a commission of 5 percent on the first 10 suits, and
Allisa [31]
 Juan Ramirez made $185.00

For the first 10 suits he made $12.50 each suit, then he made $20 for the additional 3. 

250*.05=12.50

250*.08=20

12.50*10=125

3*20=60

125+60=185.
3 0
3 years ago
A fishing boat was out to sea for 6 months and traveled a total of 8,578 miles.in the first month the boat traveled 658 miles ho
Fofino [41]

Answer:

try 7,920 miles

Step-by-step explanation:

I just took 8,578 - 658 and got 7,920.

7 0
3 years ago
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