answer.
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
Charra [1.4K]
2 years ago
5

Insert two geometric means between 729 and 64​

Mathematics
1 answer:
Liula [17]2 years ago
8 0

Answer:

324 and 144

Step-by-step explanation:

We require

a₁, a₂, a₃, a₄

where a₂ and a₃ are the required geometric means

The n th term of a geometric sequence is

a_{n} = a₁(r)^{n-1}

where a₁ is the first term and r the common ratio

Here a₁ = 729 and a₄ = 64, thus

729(r³) = 64 ( divide both sides by 729 )

r³ = \frac{64}{729} ( take the cube root of both sides )

r = \sqrt[3]{\frac{64}{729} } = \frac{4}{9} , then

a₂ = 729 × \frac{4}{9} = 81 × 4 = 324

a₃ = 324 × \frac{4}{9} = 36 × 4 = 144

Thus

729, 324, 144, 64

You might be interested in
John buys 6 shirts. For every shirt you purchase you get one for 30% off. If the normal price for each shirt is $20.00 dollars,
algol [13]

Answer:

78.

Step-by-step explanation:

the reason this is 78 is because you divide 6 by two then get 3. 3*20=60. 30% of 20 is 6. 6*3 is 18 plus 60=78

6 0
2 years ago
On a test, leo is asked to completely factor the polynomial 3x3 – 3x 5x2 – 5. he uses double grouping to get (x2 – 1)(3x 5). has
Agata [3.3K]

No, Leo's answer is not a product of prime polynomials because x2 – 1 can be factored. This is a difference of squares. He should continue factoring to get

(x – 1)(x + 1)(3x + 5).

8 0
2 years ago
Read 2 more answers
Let Î be a Bernoulli random variable that indicates which one of two hypotheses is true, and let P(Î = 1) = p. Under the hypothe
Natasha_Volkova [10]
I am so confused on this can u help me
5 0
2 years ago
adam and betty purchased a printer together for $258. If adam paid $18 less than twice betty, how much money did Adam pay for th
LenKa [72]

Answer:

Step-by-step explanation:

Let A = Adam, B = Betty

Adam and Betty purchased a printer together for $258.

This means we can say A + B = 258.

We are also told Adam paid $18 less than twice Betty.

You can write this as:

Adam = 2 x Betty - 18

A = 2B - 18

Substitute "A" into the A + B equation and you get:

A + B = 258

2B - 18 + B = 258

3B - 18 = 258

Add 18 to both sides.

3B = 258 + 18

3B = 276

Divide both sides by 3 to find B

B = 276/3 = 92 (This means Betty paid $92).

Since the total that they paid together was $258.

This means Adam pays the Total - How much Betty paid

Adam = 258 - 92 = $166

4 0
2 years ago
Read 2 more answers
Eight teams of high school students helped clean up trash in the community. Afterwards, they shared 23 pizzas equally. How many
USPshnik [31]
Answer:
each team got 2.875 pizzas

Explanation:
We are given that:
number of teams = 8 teams
number of pizzas = 23 pizzas
Now, these 23 pizzas will be divided equally among the 8 teams.
So, to get the amount that each team will get, all you have to do is divide 23 by 8 and get the result as follows:
amount that each team gets = 23/8 = 2.875 pizzas

Hope this helps :)
3 0
2 years ago
Other questions:
  • Describe in detail how you would create a number line with the following points: 1, 3.25, the opposite of 2, and – (–4fraction o
    14·2 answers
  • Factorise: 3x²+3px-2mx-2mp
    15·1 answer
  • A 2.2 GB game is being downloaded onto your laptop. When you have downloaded half a gigabyte, you notice that your computer has
    10·1 answer
  • Which of the statements about the graph of the function y = 2x are true? Check all of the boxes that apply. The domain is all re
    14·2 answers
  • Jacob has $1,000 in a checking account and withdraws $40 each week. His account requires a minimum balance of more than $400. Wr
    15·1 answer
  • To a survey of 290 newspaper reader, 181
    6·1 answer
  • A tank contains 1000 L of pure water. Brine that contains 0.05 kg of salt per liter of water enters the tank at a rate of 5 L/mi
    12·1 answer
  • What is logarithmic form of 81^1/2=9
    14·1 answer
  • Interpret the average rate of change of –14/3 that you found previously. What does this mean in terms of the waterslide, from x
    13·2 answers
  • Solve -x2 - 3x = 4 over the set of complex numbers
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!