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just olya [345]
2 years ago
7

A basketball team has 10 players. Before each game, the coach picks 2 of those players to carry the team's

Mathematics
1 answer:
labwork [276]2 years ago
6 0

The different group of 2 players that the coach can pick is 45 groups.

<h3>Selection of groups</h3>

The selection of groups of 2 player can be done using the method of combination.

<h3>Different groups of 2 players</h3>

The different group of 2 players that the coach can pick from the 10 players is calculated as follows;

n = 10C2

n = \frac{10!}{(10-2)! 2!} = \frac{10 \times 9\times 8!}{8! \times 2} = 45

Thus, the different group of 2 players that the coach can pick is 45 groups.

Learn more about combinations here: brainly.com/question/25821700

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What are the intercepts of -3x + 5y - 2z =60
umka21 [38]
We know that

the x-intercept is when y=0  and z=0
<span>-3x + 5y - 2z =60------------> -3x=60----------> x=-20
the point (-20,0,0)

</span>the y-intercept is when x=0  and z=0
-3x + 5y - 2z =60------------> 5y=60----------> y=12
the point (0,12,0)

the z-intercept is when y=0  and x=0
-3x + 5y - 2z =60------------> -2z=60----------> z=-30
the point (0,0,-30)

the answer is
(-20,0,0)
(0,12,0)
(0,0,-30)
6 0
3 years ago
What is 3 root of − 375 end root?
Svetllana [295]
∛-375
∛-125 · 3
∛-125∛3
-5∛3

The answer is D.
3 0
3 years ago
Which equals the product of (x – 3)(2x + 1)?<br> 2x² – 7x-3<br> 2x² – 5x-3<br> 3x-2<br> 0 6x²
lina2011 [118]

Answer:

2x² - 5x - 3

Step-by-step explanation:

Given

(x - 3)(2x + 1)

Each term in the second factor is multiplied by each term in the first factor, that is

x(2x + 1) - 3(2x + 1) ← distribute parenthesis

= 2x² + x - 6x - 3 ← collect like terms

= 2x² - 5x - 3

6 0
3 years ago
Janice receives $.40 per pound for 1 to 99 pounds of aluminum cans he recycles. he receives $.50 per pound if you are cycles mor
Ilya [14]

Answer:

M=\left\{\begin{matrix}0.4x &x\leq99 \\ 0.5x &x>100 \\ \end{matrix}\right.

Step-by-step explanation:

<u>Function modeling</u>

Real-life situations often require the help of mathematics to model numerically what happens when the variables involved can change. It could even be used to predict some expected outcomes from those models.

The problem states Janice receives $.40 per pound when he recycles less or equal than 99 pounds of aluminum. If x is the number of recycled pounds, then the amount of money he receives is

M=0.4x

We also know that if he recycles more than 100 pounds of aluminum, the pay increases to $0.5 per pound. In that case, the amount of money is

M=0.5x

This is a case where the function is defined differently depending on the conditions of the input variable x. It's called a piecewise function. The function can be written as

M=\left\{\begin{matrix}0.4x &x\leq99 \\ 0.5x &x>100 \\ \end{matrix}\right.

Note the function is not well constructed because there is a gap for x=100 where M is not defined. If we establish that for 100 pounds the payment is $0.5, then the second piece would include x=100

5 0
3 years ago
The point (5, −2) is on the terminal ray of angle θ, which is in standard position. Without evaluating, explain how you would fi
Anni [7]
1. Check the picture attached.

let P, M, N be the points :P(5, -2), M(5, 0), N(0, -2)

ABP is the angle with measure ∅, where BA is the initial ray and BP the terminal ray.

2. m(PNM)=∅ as can be easily checked

In triangle PNM, NP=5, PM=2 and NM=\sqrt{ 5^{2} + 2^{2} }= \sqrt{25+4}= \sqrt{29} units


3. let opp=opposite side, adj=adjecent side, hyp=hypothenuse

sin ∅ = opp/hyp=\frac{2}{\sqrt{29}}

cos ∅ = adj/hyp=\frac{5}{\sqrt{29}}

tan ∅ = opp/adj=2/5

cot ∅ = adj/opp=5/2

sec ∅ = hyp/adj=\frac{\sqrt{29}}{5}

csc ∅ = hyp/opp=\frac{\sqrt{29}}{2}

4 0
4 years ago
Read 2 more answers
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