algebra ll

find a geometric means between 4096 and 972? my answers is (0.75)^4 if it wrong can you give the right answer and show the work as simple as you can. thank you

1. 👍 0
2. 👎 0
3. 👁 106
1. we want the square root of their product
sqrt (4096 * 972)
I do not like those big numbers so let's look for a common factor like maybe 4
yes, 4 works
sqrt [(1024*4)* (243*4) ]
= 4 sqrt (1024*243)
hmm, try 4 again
1024/4 = 256
so take 2 out
= 8 sqrt (256*243)
well we could probably divide 256 by 16 and take another 4 out but this is easy enough now
= 1995

1. 👍 0
2. 👎 0
posted by Damon
2. thank you

1. 👍 0
2. 👎 0

Similar Questions

1. Math

Find four geometric means between 4096 and 972. an=a1*r^n-1 a6=972*r^6-1 4096=972r^5 4.2=r^5 1.3 972(1.3)=1296 1296(1.3)=1728 1728(1.3)=2304 2304(1.3)=3072 answer=1296,1728,2304,3072 Now that I look at it, do I have the a1 and a6

asked by Jon on March 4, 2008
2. math

find the 15th term in the geometric sequenc below 20,10,5,2.5,.... a. - 25 b. - 5 4096 4096 c. 5 d. 25 4096 4096

asked by Julie on May 16, 2013
3. stats

A multiple choice test consists of four questions. Each question has five possible answers of which only one is correct. A student guesses on every question. Find the probability distribution of X, the number of questions she

asked by Lupe on July 10, 2015
4. math 100

The mean defined in the text is sometimes called the arithmetic mean to distinguish it from other possible means. For example, a different mean, called the geometric mean (G.M.), is used in business and economics for finding

asked by ryan on November 4, 2018
5. algebra

1. The geometric mean between the first two terms in a geometric sequence is 32. If the third term is 4, find the first term. 2. Insert a geometric mean between k and 1/k. 3. If 2 and 3 are two geometric means between m and n,

asked by sylvia on July 16, 2016
6. math

NUMBER SEQUENCES identify the sequence as arithmetic, geometric, both, or neither. 1. 7, 9, 11, 13,... arithmetic**** geometric both neither 2. 2, 1, 1/2, 1/4,... arithmetic geometric**** both neither write a rule for the sequence

asked by mjc_177 on March 5, 2019
7. math

1]find two possible values for the geometric mean of –1/4 and –4 [2]form a G.P that has two geometric means between (a)1029 and –3 (b) 2/k and 1/4k

asked by kel on February 20, 2017
8. 7th Grade Math for Steve.. or Ms. Sue

Determine whether each sequence is arithmetic or geometric. Find the next three terms. 1. 14, 19, 24, 29, . . . (1 point) geometric, 34, 39, 44 arithmetic, 32, 36, 41 arithmetic, 34, 39, 44 ** The sequence is neither geometric nor

asked by Gabby on April 28, 2013
9. arithmetic

1. The first and last term of an A.P are, a and l respectively, show that the sum of nth term from the beginning and nth term from the end is a + l. 2. If mth term of an A.P be 1/n and nth term be 1/m, then show that its mnth term

asked by kartik hans on May 24, 2014
10. arithmetic

1. The first and last term of an A.P are, a and l respectively, show that the sum of nth term from the beginning and nth term from the end is a + l. 2. If mth term of an A.P be 1/n and nth term be 1/m, then show that its mnth term

asked by kartik hans on May 23, 2014

More Similar Questions