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amm1812
3 years ago
7

There are 6 horses in a race. In how many ways can the first three positions of the order of the finish occur? (Assume there are

no ties)
Mathematics
2 answers:
timurjin [86]3 years ago
8 0

6\cdot5\cdot4=120

natali 33 [55]3 years ago
5 0

120 is the answer! I hope this helps!


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dezoksy [38]

Answer:

n=13

Step-by-step explanation:

3n-6=33

Add 6 to both sides

3n=39

Divide both sides by 3

n=13

7 0
3 years ago
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If l || m, classify the marked angle pair and give their relationship, then solve for X.
pickupchik [31]
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Find the cross product of <img src="https://tex.z-dn.net/?f=-%20%5Cfrac%7B3%7D%7B4%7Dv" id="TexFormula1" title="- \frac{3}{4}v"
dsp73
For any scalars c_1,c_2, we have

c_1\mathbf v\times c_2\mathbf w=c_1c_2\mathbf v\times\mathbf w

So

\left(-\dfrac34\mathbf v\right)\times\left(-\dfrac12\mathbf w\right)=\dfrac38\mathbf v\times\mathbf w

We have

\mathbf v\times\mathbf w=\begin{vmatrix}\mathbf i&\mathbf j&\mathbf k\\-2&12&-3\\-7&4&-6\end{vmatrix}
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=\begin{bmatrix}-60\\9\\76\end{bmatrix}

which makes

\left(-\dfrac34\mathbf v\right)\times\left(-\dfrac12\mathbf w\right)=\dfrac38\begin{bmatrix}-60\\9\\76\end{bmatrix}=\begin{bmatrix}-\frac{45}2\\\\\frac{27}8\\\\\frac{57}2\end{bmatrix}
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3 years ago
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Rus_ich [418]

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I believe the answer is 4.
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3 years ago
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