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3 years ago

jason wants to choose 9 players for his track team ,there are 12 players to choose from.how many different teams can jason make?

2 answers:

6 0

He could only make one team, considering that if you do 12-9, you are left with 3, and Jason wants to have his team consisted of 9 players. However, if you make 3 teams with 4 players on each team, or 4 teams with 3 players on each team, you could do that as well.

marin [14]3 years ago

5 0

Answer: 220 team can Jason make.

Step-by-step explanation:

Since, the total numbers of players = 12

The number of players in one team = 9,

Hence, the total combination of choosing 9 players out of 12 players

$=^12C_9$

$=\frac{12!}{9!\times (12-9)!$

$=\frac{12\times 11\times 10\times 9!}{9!\times 3!}$

$=\frac{12\times 11\times 10}{3\times 2}$

$=\frac{1320}{6}=220$

Thus, 220 team can Jason make.

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3 years ago

Quadrilateral ABCD is inscribed in this circle.

murzikaleks [220]

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3 years ago

A 12-foot ladder leans against the wall makes an angle of 62.87 degrees with the ground. How high up the wall does the ladder re

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4 0

3 years ago

Evaluate Dx / ^ 9-8x - x2^

Solnce55 [7]

It depends on what you mean by the delimiting carats "^"...

Since you use parentheses appropriately in the answer choices, I'm going to go out on a limb here and assume something like "^x^" stands for $\sqrt x$ .

In that case, you want to find the antiderivative,

$\displaystyle\int\frac{\mathrm dx}{\sqrt{9-8x-x^2}}$

Complete the square in the denominator:

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Now substitute $x+4=5\sin y$ , so that $\mathrm dx=5\cos y\,\mathrm dy$ . Then

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which simplifies to

$\displaystyle\int\frac{5\cos 
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Now, recall that $\sqrt{x^2}=|x|$ . But we want the substitution we made to be reversible, so that

$x+4=5\sin y\iff y=\sin^{-1}\left(\dfrac{x+4}5\right)$

which implies that $-\dfrac\pi2\le y\le\dfrac\pi2$ . (This is the range of the inverse sine function.)

Under these conditions, we have $\cos y\ge0$ , which lets us reduce $\sqrt{\cos^2y}=|\cos y|=\cos y$ . Finally,

$\displaystyle\int\frac{\cos y}{\cos y}\,\mathrm dy=\int\mathrm dy=y+C$

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4 0

3 years ago

57 is 13.5% of what number?

kondaur [170]

Let, the number = x
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Hope this helps!

6 0

3 years ago