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Rzqust [24]
3 years ago
14

A jet took 4 hours to fly 1800 miles against a head wind, jets speed was 525 miles per hour what was the wind speed

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
7 0
Well its a pretty strong wind the answer is 75 mph

First you find out the distance without the wind which is 4x525 or 2,100

Now subtract 1800 from that and you get 300

But you’re still not done because 300 is the number of miles effected by the wind in the whole flight of 4 hours.

So just divide it by 4 and you get 75. So the wind is a 75 mph wind.

Brainliest my answer if it helps you out?
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Find the 13th term of the arithmetic sequence -3x – 1,42 + 4,112 + 9, ...
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Answer:

The 13th term is 81<em>x</em> + 59.

Step-by-step explanation:

We are given the arithmetic sequence:

\displaystle -3x -1, \, 4x +4, \, 11x  + 9 \dots

And we want to find the 13th term.

Recall that for an arithmetic sequence, each subsequent term only differ by a common difference <em>d</em>. In other words:

\displaystyle \underbrace{-3x - 1}_{x_1} + d = \underbrace{4x + 4} _ {x_2}

Find the common difference by subtracting the first term from the second:

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Distribute:

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Combine like terms. Hence:

d = 7x + 5

The common difference is (7<em>x</em> + 5).

To find the 13th term, we can write a direct formula. The direct formula for an arithmetic sequence has the form:

\displaystyle x_n = a + d(n-1)

Where <em>a</em> is the initial term and <em>d</em> is the common difference.

The initial term is (-3<em>x</em> - 1) and the common difference is (7<em>x</em> + 5). Hence:

\displaystyle x_n = (-3x - 1) + (7x+5)(n-1)

To find the 13th term, let <em>n</em> = 13. Hence:

\displaystyle x_{13} = (-3x - 1) + (7x + 5)((13)-1)

Simplify:

\displaystyle \begin{aligned}x_{13} &= (-3x-1) + (7x+5)(12) \\ &= (-3x - 1) +(84x + 60) \\ &= 81x + 59 \end{aligned}

The 13th term is 81<em>x</em> + 59.

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