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Flura [38]
3 years ago
11

What are the possible values of the missing term in the geometric sequence? 4, _, 9, ...

Mathematics
1 answer:
pashok25 [27]3 years ago
4 0
<h3>Two possible answers: 6 or -6</h3>

==========================================================

Explanation:

r = common ratio

To get any term in a geometric sequence, we multiply the previous term by r.

So that means 4r is the second term, since 4 is the first term.

The third term is (4r)*r = 4r^2, which is equal to 9 as given to us.

4r^2 = 9

4r^2 - 9 = 0

(2r)^2 - (3)^2 = 0

(2r - 3)(2r + 3) = 0  ... difference of squares rule

2r-3 = 0 or 2r+3 = 0

2r = 3 or 2r = -3

r = 3/2 or r = -3/2

r = 1.5 or r = -1.5

We can use each r value to find the possible second term

S = 4r = 4*(1.5) = 6

S = 4r = 4*(-1.5) = -6

The second term is either 6 or -6.

We could have this sequence: 4, 6, 9, ...

Or we could have this sequence: 4, -6, 9, ...

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Isabella has a 22 ounce cola. She drinks 17 ounces. Enter the percentage of ounces Isabella has left of her cola. Round your ans
jenyasd209 [6]

Answer:

<u>22.73%</u> of ounces Isabella has left of her cola.

Step-by-step explanation:

Given:

Isabella has a 22 ounce cola. She drinks 17 ounces.

Now, to find the percentage of ounces Isabella has left of her cola.

Total ounces of cola = 22.

Ounces of cola Isabella drink = 17.

So, the ounces of cola she left:

<em>Total ounces of cola - ounces of cola Isabella drink.</em>

=22-17

=5\ ounces.

<u><em>Thus, 5 ounces of cola she left.</em></u>

Now, to get the percentage of cola she left:

\frac{5}{22}\times 100

=\frac{500}{22}

=22.727\%.

<u>Rounding the percentage to the nearest hundredths is 22.73%.</u>

Therefore, 22.73% of ounces Isabella has left of her cola.

7 0
3 years ago
A rectangle has an area of 717.8m squared. One of the sides is 7.4m in length. What is the perimeter of the rectangle btw it’s n
vlabodo [156]

Answer:

I think it's 208.8m

Step-by-step explanation:

717.8 divided by 7.4 = 97. 97 x 2 + 7.4 x 2 =208.8m

6 0
3 years ago
2<img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%2B5%7D%2B4%5C%5C" id="TexFormula1" title="\sqrt{x+5}+4\\" alt="\sqrt{x+5}+4\\" al
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2 \sqrt{x + 9}

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3 years ago
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The area of a rectangle is 30+12x what are 3 possibilities for the length and width of the rectangle
Stolb23 [73]

In order to find the three possibilities, you must first think of common factors between 30 and 12:

Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

Factors of 12: 1, 2, 3, 4, 6, 12

We can find three common factors between the two numbers: 2, 3, and 6. So these are three widths that we can use. The length can be found by factoring out the numbers from 30+12x (we can't factor out x):

30+12x=2(15+6x)      Width: 2      Length: 15+6x

20+12x=3(10+4x)      Width: 3      Length: 10+4x

20+12x=6(5+2x)       Width: 6      Length: 5+2x

4 0
3 years ago
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