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kondor19780726 [428]
3 years ago
14

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).

Mathematics
2 answers:
Ray Of Light [21]3 years ago
6 0

Hope this help!!!

Have a nice day!!!

Anvisha [2.4K]3 years ago
5 0

Answer:

.082

Step-by-step explanation:

First find the common ratio

Take the second term and divide by the first term

20/50 = 2/5 = .4

Check with the third term divided by the second term

8/20 = .4

The formula for a geometric sequence is

an = a1 (r) ^(n-1)  where a1 is the first term and r is the common ratio

     =50 ( .4) ^ (n-1)

We want to find the 8th term

     = 50 ( .4)^(8-1)

      = 50 ( .4) ^7

      =0.08192

Round to the nearest thousandth

      = .082

   

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Complete the equation of the line through ( − 10 , − 7 ) (−10,−7)left parenthesis, minus, 10, comma, minus, 7, right parenthesis
Arturiano [62]

The equation of the line that passes through (-10,-7) and (-5,-9) is y=-2.5x-31.

<h3>What is the equation of a line?</h3>

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

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c is the y-intercept.

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Slope, m = (-10+5)/(-7+9) = -5/2 = -2.5

Substitute any one of the points in the equation of the line,

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2 years ago
A certain ferry moves up and down a river between Town A and B. It takes the ferry two hours to travel to Town A and only an hou
Y_Kistochka [10]

Answer:

The distance between two cities is <em>60 miles.</em>

Step-by-step explanation:

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Let the speed of ferry in still water = <em>u</em> mph

When the ferry moves with the current, it will taken lesser time (i.e. A to B) and when it moves against the current it will take more time (i.e. B to A).

Let the distance between the two cities A and B = D miles

While moving with the current, speed = (u+5)\ mph

While moving against the current, speed = (u-5)\ mph

Formula for Distance = Speed \times Time

Distance traveled in each case is same i.e. D.

So,

D = (u+5) \times 1.5 = (u-5) \times 2\\\Rightarrow 1.5u+7.5=2u-10\\\Rightarrow 0.5u =17.5\\\Rightarrow u = \dfrac{175}{5}\\\Rightarrow u = 35 \ mph

Now,

D = (u+5) \times 1.5\\\Rightarrow D =(35+5) \times 1.5\\\Rightarrow D =(40) \times 1.5\\\Rightarrow \bold{D =60\ miles}

So, the distance between two cities is <em>60 miles.</em>

6 0
3 years ago
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