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4 years ago

Use the geometric mean to find the 7th term in a geometric sequence if the 6th term is 12 and the 8th term is 27. 20 19.5 18 17

1 answer:

7 0

A₆ =12

a₇ = ?? = x

a₈ 27

In this case x is the geometric mean & as per the formula
geometric mean of 2 numbers =√(a₆ * a₈) = √(12*27)
& x=18.
Proof:
Find the common ratio between a₇ & a₆ ==> = ( x) / 12
now find the common ration between a₈ & a₇ ===> =27 / (x)
x/12 = 27/x ===> x² = 12*27 ==> x² = 324 & x =√324 = 18

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Combine like terms to create an equivalent expression.

Blababa [14]

Answer:

-1/5m+-4/5

Step-by-step explanation:

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3 years ago

Two squares are drawn. The larger Square has area of 400 in.². The area of the two squares have a ratio of 1 to 4. What is the s

Alex Ar [27]

The first thing we must do in this case is to find the area of the smallest square.
For this, we use the following relationship:
A1 / A2 = 4/1
Substituting:
400 / A2 = 4/1
From here, we clear A2:
A2 = (1/4) * (400)
A2 = 100 in ^ 2
We now look for the side of the small square, we use the following relationship:
A = S ^ 2
We cleared S:
S = root (A)
S = root (100)
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Answer:
the side length S of the smaller square is:
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4 years ago

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alekssr [168]

Answer: C

Step-by-step i just know

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3 years ago

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leo is going to use a random number generator 400 times. Each time he uses it, he will get a 1, 2,3,4,or5. What is the best pred

Vinil7 [7]

Hey there

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The correct answer is :3/5 of the numbers are odd so we just multiply 400 by 3/5:
400 \times \frac{3}{5} = 240
so the best prediction is 240.

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3 years ago

Read 2 more answers

Urgent! correct answer will receive brainliest

Naddik [55]

Answer:

M = (3, 3.25)

Step-by-step explanation:

First, using the internal selection formula

Given

m:n = 3:5

(x1,y1) =(0,1)

(x2,y2) =(8,7)

$M={[(mx2+nx1)/(m+n)],[(my2+ny1)/(m+n)]}$

M = (3, 3.25)

M is the point on XY that is 3/8 of the way from X to Y.

x-coordinate of M = 0 + (3/8)(8) = 0 + 3 = 3

y-coordinate of M = 1 + (3/8)(6) = 1 + 2.25 = 3.25

So, M = (3, 3.25)

or (3, 3 1/4)

3 0

2 years ago