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
Rasek [7]
3 years ago
11

If a geometric sequence has a1 = 256 and a8 = 512, find the exact value of the common ratio ????.

Mathematics
1 answer:
marusya05 [52]3 years ago
7 0

Answer:r=1.104

Step-by-step explanation:

Given

First term a_1=256

a_8=512

Also a_8 can also be written in

a_8=ar^7

where r=common difference

512=256r^7

2=r^7

r=\left ( 2\right )^{\frac{1}{7}}

r=1.104

You might be interested in
You have just started a colony on Mars. One of the biggest concerns for the colony is government. What is your colony going to d
777dan777 [17]

Answer:

we will use democracy so that everyone gets a say in what happens to the colony, second the government will make the decisions and the people will provide options and different ideas, and i believe its the best type because everyone has a say in what happens and the government isn't too powerful and has as much power as the people do.

Step-by-step explanation:

3 0
2 years ago
Simplify 29-4.37+(5.68)
vitfil [10]
Your answer is 30.31
Hope this helps!
4 0
3 years ago
Read 2 more answers
Let X be the number of Heads in 10 fair coin tosses. (a) Find the conditional PMF of X, given that the first two tosses both lan
inn [45]

Answer:

Follows are the solution to the given point:

Step-by-step explanation:

For option A:

In the first point let z be the number of heads which is available on the first two trails of tosses so, the equation is:

P(X=k | z=2 ) = \begin{pmatrix} 10-2\\ k-2\end{pmatrix} (\frac{1}{2})^{k-2} (\frac{1}{2})^{10-k}

                         = \begin{pmatrix} 8\\k-2\end{pmatrix} (\frac{1}{2})^{k-2} (\frac{1}{2})^{10-k} \ \ \ \ \ \ \ \ \  \ \\\\

                                                                                                       k= 2,3..........10For option B:

P(X=k | X \geq 2 ) =  \sum^{10}_{i=2}  \begin{pmatrix} 10-i\\ k-i\end{pmatrix} (\frac{1}{2})^{k-i} (\frac{1}{2})^{10-k}

                                                                                                k= 2,3, 4.........10

8 0
3 years ago
Can you please help meee
Lubov Fominskaja [6]

Answer: y = 4x + 5/4

Step-by-step explanation: Plug in the slope and y-intercept into the equation y = mx + b, where m is the slope and b is the y-intercept, and such that m, b ≠ 0.

5 0
2 years ago
If 3 workers can paint a room in 2 hours, then approximately how long does it take 4 workers to paint the same room? Assume the
Olin [163]

It takes 1.5 hours for 4 workers to paint the same room

<em><u>Solution:</u></em>

Given that 3 workers can paint a room in 2 hours

To find: Time taken for 4 workers to paint the same room

Assume the time needed to paint the room is inversely proportional to the number of worker

time $ \propto \frac{1}{\text { number of workers }}\\\\time =k \times \frac{1}{\text { number of workers }}

Where, "k" is the constant of proportionality

<em><u>3 workers can paint a room in 2 hours</u></em>

Substitute number of workers = 3 and time = 2 hours

time =k \times \frac{1}{\text { number of workers }}\\\\2 = k \times \frac{1}{3}\\\\k = 6

Therefore,

\text {time}=6 \times \frac{1}{\text { number of workers }}

To find time taken for 4 workers to paint the same room, substitute number of workers = 4 in above expression

time = 6 \times \frac{1}{4} = 1.5

Thus it takes 1.5 hours for 4 workers to paint the same room

6 0
3 years ago
Read 2 more answers
Other questions:
  • What is the standard form of 3x+(2-4x)
    13·1 answer
  • What is the radius of a sphere with a surface area of 100TCm ?
    7·1 answer
  • Gordon, Henry and Sarah share £48 in a ratio 2:3:1. How much money does each person get?
    9·1 answer
  • I have no clue how to solve question 10 and if u know how to it goes with the pie chart. So please help me
    12·1 answer
  • The solutions to the equation<br>=2x^2+x-1=2are ×= -3/2 or x=<br>​
    13·1 answer
  • Ramona is counting the posts between mile markers on the highway. In 1 mile, she counts 33 posts if the posts are evenly spaced,
    6·1 answer
  • 241 ten in base five?
    6·1 answer
  • Quarters are currently minted with weights normally distributed and having a standard deviation of 0.065. New equipment is being
    14·1 answer
  • PLEASE ANSWER!!! How many lines can be drawn through point C that are parallel to line L
    8·1 answer
  • Find the time required for an investment of 7,000 dollars to grow to 14,000 dollars at an interest rate of 4% per
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!