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Masteriza [31]
3 years ago
8

There are 15 members of the show choir. In how many ways can you arrange 4 members in the front row when order does not matter?

Mathematics
2 answers:
olga_2 [115]3 years ago
7 0
<span>32760 ways. Because it is a permutation it would be 15!. Which is 15*14*13*12*11*10*9*8*7*6*5*4*3*2*1 </span><span />
OLEGan [10]3 years ago
3 0
We need to find the number of combinations of the 15 members taken 4 at a time:
15C4=\frac{15!}{4!11!}=\frac{15\times14\times13\times12}{4\times3\times2\times1}=1365
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-2x+4y=-8 which graph models the equation
katovenus [111]
Hello!

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3 years ago
A helicopter starting on the ground is rising directly
Serggg [28]

Answer:

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That distance is easily found with the formula for the distance between two points in the plane, or d=\sqrt{(\Delta x)^2+(\Delta y)^2}= \sqrt{x^2(t)+y^2(t)} (playing a bit with the squares). At this point we need to write down expressions for both x(t), y(t) and find at what value of t we need to evaluate our distance.

For the sake of semplicity, let's start measuring times the moment you start running. Since speed is constant, both expressions will be of the form s=vt+s_0

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The equation of the helicopter is y=25t+30 since the heli is 30ft above ground when you start running.

Finally, we need to know how many seconds have passed when the heli is at 60 ft above ground. that happens when 60=25t+30 \rightarrow t=\frac{30}{25} = 1.20s. in this time, you are at  x(1.2)=10(1.2)=12ft from the origin.

Plugging it in the distance formula you get: \sqrt{12^2+60^2}= \sqrt{144+3600}=4\sqrt {234}\approx 61.2ft

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3 years ago
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