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1 year ago

How many ways can a president, vice-president, secretary, and treasurer be chosen from a club with 9 members?

Mathematics

1 answer:

SSSSS [86.1K]1 year ago

5 0

Answer:

3024

Step-by-step explanation:

Each chosen member (out of 9 members) will occupy a different position

out of these four (president , vice-president , secretary , treasurer).

So, here we have to calculate the Number of Permutations of 9 members Taken 4 at a Time :

= 9P4

= 9 × 8 × 7 × 6

= 3024

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Solve the equation: k^2+5k+13=0

mr_godi [17]

Step-by-step explanation:

k² + 5k + 13 = 0

Using the quadratic formula which is

$x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} \\$

From the question

a = 1 , b = 5 , c = 13

So we have

$k = \frac{ - 5 \pm \sqrt{ {5}^{2} - 4(1)(13) } }{2(1)} \\ = \frac{ - 5 \pm \sqrt{25 - 52} }{2} \\ = \frac{ - 5 \pm \sqrt{ - 27} }{2} \: \: \: \: \: \: \\ = \frac{ - 5 \pm3 \sqrt{3} \: i}{2} \: \: \: \: \: \:$

Separate the solutions

$k_1 = \frac{ - 5 + 3 \sqrt{3} \: i }{2} \: \: \: \: or \\ k_2 = \frac{ - 5 - 3 \sqrt{3} \: i}{2}$

The equation has complex roots

Separate the real and imaginary parts

We have the final answer as

$k_1 = - \frac{5}{2} + \frac{3 \sqrt{3} }{2} \: i \: \: \: \: or \\ k_2 = - \frac{5}{2} - \frac{3 \sqrt{3} }{2} \: i$

Hope this helps you

8 0

2 years ago

On the last three chemistryexams a student scored 87, 88, and 89. What score must the student earn on the next exam to have an

hammer [34]

Answer:96%

Step-by-step explanation: 4 x 90 = 360, 87 + 88 + 89 = 264, 360 - 264 = 96

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2 years ago

Polygon ABCD is a rectangle. What is its area? Round your answer to the

galben [10]

9514 1404 393

Answer:

26 square units

Step-by-step explanation:

Counting grid squares on the graph, we see that segment AB is the hypotenuse of a right triangle with legs 2 and 3. Its length is ...

AB = √(2²+3²) = √13

We can also see that the adjacent longer sides are twice this length, each being the hypotenuse of a triangle that is 6 wide and 4 high.

AC = √(6² +4²) = √52 = 2√13

Then the area is ...

A = LW

A = (2√13)(√13) = 2·13 = 26 . . . square units

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2 years ago

What is the recursive formula for 4,8, 12, 16

shtirl [24]

Answer:

looks like A, first answer, is correct when using n such that it names what value of the sequence to use like a1 = 4 and so on.

Step-by-step explanation:

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2 years ago

During his high school football career a running back averaged 81 yards/game with a standard

hodyreva [135]

The answer is ym=b your welcome

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2 years ago