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
pav-90 [236]
2 years ago
14

Find the geometric mean between 6 and 48 given the sequence (3,6,12,24,48,96)

Mathematics
1 answer:
Sedaia [141]2 years ago
8 0

Answer:

16.97

Step-by-step explanation:

the geometric mean value of a set of n numbers is the nth root of the product of all n numbers.

so, here this means

gm =  \sqrt[6]{3 \times 6 \times 12 \times 24 \times 48 \times 96}

this would be 16.97

but careful, the problem only asks for the gm between 6 and 48 of the sequence.

so, we actually only consider the subset 6, 12, 24, 48.

therefore

gm =  \sqrt[4]{6 \times 12 \times 24 \times 48}

this is also

gm =  \sqrt[4]{3 \times 2 \times 3 \times 2 \times 2 \times 3 \times 2 \times 2 \times 2 \times 3 \times 2 \times 2 \times 2 \times 2}

=  \sqrt[4]{ {3}^{4} \times  {2}^{10}  }

=  \sqrt[4]{ {3}^{4}  \times  {2}^{4}  \times  {2}^{4}  \times  {2}^{2} }

= 3 \times 2 \times 2 \times  \sqrt[4]{ {2}^{2} }

= 12 \times  \sqrt{2}

so, we could specify the result as that simple expression

or calculate it

gm = 16.97

hey, the result is the same as for the complete sequence.

coincidence ? no, it is not. but that is a subject for a different question.

You might be interested in
Which lines are parallel to 8x + 4y = 5? Select all that apply.
Dvinal [7]

Answer:

A , B , C

Step-by-step explanation:

1) find the slope of the given line

slope = (-a/b) = (-8/4) = -2

two parallel lines have the same slope

A : correct

B : (-a/b) = -16/8 = -2 (correct)

C : correct

D : wrong (2 is different from -2)

5 0
2 years ago
Read 2 more answers
Roland's Boat Tours sells deluxe and economy seats for each tour it conducts. In order to complete a tour, at least 14 economy s
dmitriy555 [2]
At least 14 economy and at least 5 deluxe...total of 45 seats. He makes a bigger profit from selling economy seats....so we need the most economy seats we can get.

45 seats - 5 deluxe = 40 economy

so the most profit would be 40 economy and 5 deluxe
40 economy = (40 x 30) = 1200 profit
5 deluxe = (5 x 25) = 125 profit
for a maximum profit of : $ 1325
5 0
3 years ago
Walnuts for Sale. It costs $4.80 to buy 3/4 pound of chopped walnuts. How much would it cost to purchase 8.2 pounds of walnuts?
brilliants [131]
4.80/(3/4) = 6.4 per pound
8.2 * 6.4 = $52.48
Solution: $52.48 for 8.2 pounds
7 0
2 years ago
Read 2 more answers
Here is my statement about the luxury destinations
Hunter-Best [27]
Jhhhchbuhgv Gunn hub ghhhb
7 0
3 years ago
Please help!!! Imagine is attached
Paul [167]

Answer:

They're both parabolas.

One is a parabola opening up (blue), the other one is opening down.

Step-by-step explanation:

In dutch, we call them what can be translated as  mountain-parabolas and valley-parabolas.

I also saw the terms "concave up" and "concave down".

8 0
3 years ago
Other questions:
  • What is the value of h(−2) when h(x)=3x+1 ?
    10·1 answer
  • Vvggggggfgfffgggtttt
    5·2 answers
  • 12 divided by 4y+6 = 2/7
    8·2 answers
  • PLZ HELLPPP
    8·1 answer
  • What inequalities are shown by this graph?​
    5·2 answers
  • Please help me please will give brainliest ​
    11·2 answers
  • In which number does the digit 3 have a value that is 10 times as great as the value of the digit 3 in 143,728?
    5·1 answer
  • ‘z’ is subtracted from (-12) express the expression​
    8·1 answer
  • If x represent a base number in the following equation what is the value of x in 3x+101x-24x=8​
    12·2 answers
  • 100 Points!!!! Please HELP!!!
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!