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Lady_Fox [76]
3 years ago
11

Given the following geometric sequence, find the common ratio: {16, 64, 256, ...}.

Mathematics
2 answers:
Anettt [7]3 years ago
8 0

Answer:

The common ratio is 4

Step-by-step explanation:

We need to divide a term by the previous term to find the common ratio in a geometric sequence:

64 ÷ 16 = 4

256 ÷ 64 = 4

By doing it twice we can confirm that the common ratio is 4

rosijanka [135]3 years ago
4 0

Given the following geometric sequence, the common ratio would be 4.

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Here are 10 test scores: 30, 74, 76, 77, 78, 79, 80, 80, 82, 84. The mean of these scores is 74.
creativ13 [48]
We add up all those numbers (excluding 30) and divide by the number of numbers (9). This results in 78.8 (round up to 79).

79-74 = 5. So the mean has increased by 5 points. (C)
8 0
3 years ago
The equations -6x + 3y = 6 and x² + y = 10 intersect at the
eimsori [14]

The values of the letters in coordinates (a, b) and (c,d) are;

<u><em>a = -4</em></u>

<u><em>b = -6</em></u>

<u><em>c = 2</em></u>

<u><em>d = 6</em></u>

<u><em /></u>

We are given two equations;

-6x + 3y = 6  ---(eq 1)

x² + y = 10 ---(eq 2)

  • We are told that they intersect at coordinates; (a, b) and (c, d).

Let us make y the subject in eq 2 to get;

y = 10 - x²  --(eq 3)

  • Let us put 10 - x² into eq 1 to get;

-6x + 3(10 - x²) = 6

expanding further gives;

-6x + 30 - 3x² = 6

rearranging gives;

3x² + 6x - 24 = 0

Using online quadratic equation <em>solver</em>, we have;

x = -4 and x = 2

Putting x = -4 into eq 3 gives;

y = 10 - (-4)²

y = 10 - 16

y = -6

Putting x = 2 into eq 3 gives;

y = 10 - (2)²

y = 10 - 4

y = 6

  • Thus, the coordinates are; (-4, -6) and (2, 6)

Comparing with (a, b) and (c,d), we have;

a = -4

b = -6

c = 2

d = 6

Read more at; brainly.com/question/15165519

5 0
2 years ago
I need help I don’t get it
Ahat [919]

Answer:

5 and 9

Step-by-step explanation:

3 multiplied by whatever z is plus 2 has to be 10 or more

6 0
3 years ago
Read 2 more answers
Write the inverse for each question..
a_sh-v [17]

Answer:

f^-1 (x) =4+ in(x) / in(3)

Step-by-step explanation:

8 0
3 years ago
Luke walks 40 miles in 25 seconds and Maria walks 30 miles in 10 seconds who walks faster?
Veronika [31]

Answer:

Thank to Goalscore24 correcting me, its actually Maria walking faster

Because 40 divided by 25 is 1.6

and 30 divided by 10 is 3

So Maria runs 3 miles in 1 second, and Luke runs 1.6 miles in 1 second

So Maria is faster.

5 0
3 years ago
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