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2 years ago

I only need help on Question D

Mathematics

1 answer:

koban [17]2 years ago

7 0

Cool question Tigh is actually number 16 D is the fifthone you can also use brainly.com if he needs more help

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

Sedaia [141]

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.

8 0

3 years ago

It takes 10 cups of water and 15 cups of juice to make punch write as a ratio and simplify.

DaniilM [7]

10:15 (both divisible by 5)
10/5: 15/5
2:3

Therefore, you would need 2 cups of water to 3 cups of juice to make punch

5 0

3 years ago

Does anybody know this answer????

Ira Lisetskai [31]

Answer:

959.42 x 10³

Step-by-step explanation:

9.62 x 10⁵ - 2.58 x 10³

= 962 x 10³ - 2.58 x 10³

= 959.42 x 10³

4 0

2 years ago

Read 2 more answers

Which triangles are congruent in the figure?

Andru [333]

Answer:

ΔJLK≅ ΔMLN

Step-by-step explanation:

SSS

6 0

2 years ago

Find the solution of this system of linear

bezimeni [28]

8x - 19 = 36
8x = 55
x = 55/8 = 6 7/8

-2x + 19 = -66
-2x = -85
2x = 85
x = 42 1/2

8 0

3 years ago