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lions [1.4K]
3 years ago
9

find the common ratio of the following geometric sequence. 2.512, 11.304, 50.868, 228.906, 1,030.077, ...

Mathematics
1 answer:
zimovet [89]3 years ago
8 0
In mathematics, a geometric progression<span>, also known as a </span>geometric sequence<span>, is a </span>sequence<span> of numbers where each term after the first is found by multiplying the previous one by a common ratio. We determine the ratio as follows:

r = 11.304 / 2.512 = 4.5
r = </span>50.868 / <span>11.304 = 4.5
r = </span>228.906 / 50.868 = 4.5

Therefore, the common ration is 4.5.
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2 years ago
Dave and Sandy Hartranft are frequent flyers with a particular airline. They often fly from City A to City B, a distance of 756
horsena [70]

Answer:

Plane = 441 mi/h; wind =  63 mi/h

Step-by-step explanation:

distance = rate × time

 Let p = the plane's speed in still air

and w = the wind speed . Then,

p + w = speed with wind

 p - w = speed against wind

We have two conditions:

(1)  756 = (p - w) × 2

(2) 756 = (p + w) × 1.5

Distribute the constants                  (3)    756 = 2p - 2w

                                                          (4)   756 = 1.5p + 1.5 w  

Multiply Equation (3) by 3                (5) 2268 = 6p  -  6w

Multiply Equation (4) by 4                (6) 3024 = 6p + 6w

Add Equations (5) and (6)                     5292 = 12p

Divide each side by 12                     (7)        p = 441 mi/h

Substitute (7) into Equation(3)                 756 = 882 - 2w

Add 2w to each side                      2w + 756 = 882

Subtract 756 from each side                    2w = 126

Divide each side by 2                                 w = 63 mph

The plane's speed in still air is 441 mi/h.

The wind speed is 63 mph.

Check:

(1) 756 = (441 - 63) × 2     (2) 756 = (441 + 63) × 1.5

   756 = 378 × 2                   756 = 504 × 1.5

   756 = 756                         756 = 756

8 0
3 years ago
Find the median of the data.
kipiarov [429]

Answer:

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Step-by-step explanation:

<u>The data given:</u>

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<u>Put the data in the ascending order:</u>

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<u>Since the data size is even, the median is the average of middle two:</u>

  • median = (92 + 93)/2 = 92.5

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2 years ago
What's 89x50 equaled too
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The answer is...4450
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2 years ago
Read 2 more answers
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