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MAXImum [283]
3 years ago
9

What is the pattern 3.5 to 13

Mathematics
1 answer:
mars1129 [50]3 years ago
4 0
Adding 9.5 every time

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Choose the explicit and recursive formulas for the geometric sequence 45, 135, 405, 1215, 3645, .... PLEASE HELP ASAP
sesenic [268]

Answer:

Option (B)

Step-by-step explanation:

Given sequence is 45, 135, 405, 1215, 3645..........

Since it's a geometric sequence,

Common ratio of each successive term to the previous term

r = \frac{135}{45}=3

First term of the sequence 'a' = 45

Explicit formula of a geometric sequence will be,

a_n=a(r)^{n-1}

a_n=45(3)^{n-1}

Recursive formula of this sequence will be,

a_n=3(a_{n-1}), a_1=45

Therefore, Option (B) will be the answer.

3 0
3 years ago
This question is WORTH 15 POINTS
masha68 [24]
3x² - 33x - 180 = 0
3(x² - 11x - 60) = 0
3(x² - 15x + 4x - 60) = 0
3(x + 4)(x - 15) = 0
3(x - 4) = 0 or x - 15 = 0
3x - 12 = 0     <u>  + 15  + 15</u>
<u>    + 12 + 12</u>           x = 15
       <u>3x</u> = <u>12</u>
        3      4
         x = 3

The answer is equal to H.15 and E. 4.
8 0
3 years ago
Help please!!!!:))))))))))))))
Ludmilka [50]
Thank you for helping me on my question hopefully someone answers it❤️
3 0
3 years ago
On a​ cross-country trip, a car uses 55 gallons of gas for every 120120 miles it travels. How many gallons of gas does the car u
Molodets [167]

Answer:

For 600600 miles, it will use

(600600*55)/120120 = 275 gallons

Using 3030 gallons, it can travel

(3030*120120)/55 = 6617520 miles

4 0
3 years ago
An isotope decays at a rate of -0.0049% per year. Find the half life. (show the work)
cricket20 [7]

Answer:

  14,146 years

Step-by-step explanation:

The annual multiplier is (1 -0.0049%) = 0.999951. We want to find the number of times this needs to be multiplied to make the product 1/2.

  0.5 = 0.999951^t

  log(0.5) = t·log(0.999951)

  log(0.5)/log(0.999951) = t ≈ 14,145.514

The half-life is about 14,146 years.

7 0
3 years ago
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