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kipiarov [429]
3 years ago
11

There are 12 students in a graduate class. The students are to be divided into three groups of 3, 4, and 5 members for a class p

roject. How divisions are possible?
Mathematics
1 answer:
exis [7]3 years ago
8 0

Answer:

27720

Step-by-step explanation:

Given that there are 12 students in a graduate class. The students are to be divided into three groups of 3, 4, and 5 members for a class project.

From 12 students 3 students for group I can be selected in 12C3 ways.

Now from remaining 9, 4 students can be selected for II group in 9C4 ways

The remaining 5 have to be placed in III group.

Hence possible divisions for grouping the 12 students in the class into three groups

= 12C3 *9C4

= =220*126=27720

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DochEvi [55]

Answer:(X^2-11)(2X-5)

Step-by-step explanation:

2x^3-5x^2-22x+55

x^2(2x-5)-11(2x-5)

(X^2-11)(2X-5)

8 0
3 years ago
Factor completely 2x3 + 8x2 + 3x + 12.
goblinko [34]

Answer:

(2x^2+3)(x+4).

Step-by-step explanation:

2x^3+8x^2+3x+12

We need to find the factors of given equation;

Solution:

On Solving the above equation we get;

Now First we will take common factor from first 2 terms which is 2x^2 we get;

2x^2(x+4) + 3x+12

Now we will take the common factor from the last 2 terms which is 3 we get;

2x^2(x+4) + 3(x+4)

Here we get 2 terms in which (x+4) is common factor.

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8 0
3 years ago
Write the complex number -2+2i in polar form
FromTheMoon [43]
For polar form you need to find the modulus (length of the vector) and the argument (angle of the vector) and present in form rcis(Arg) or re^Argi

start with the modulus r=sqrt(a^2 +b^2)
                                     =sqrt(-2^2 +2^2)
                                     = sqrt(4+4)
                                     =sqrt(8)
                                     =2sqrt(2)

next the argument, firstly arg=tan(b/a)
                                              = tan(2/2)
                                              =tan(1)
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Now consider the quadrant the complex number is in, as it is (-2,2) it is in the second quadrant and as such your Arg value is:
Arg=pi-arg
     = pi-pi/4
     = 3pi/4

add it all together and your complex number in polar form is:
2sqrt2cis(3pi/4)

note: cis is short hand for cos(x)+isin(x), it is possible your tutor would rather you use the complex exponential form which is simply re^Argi and your answer would look like:
2sqrt2e^(3pi/4)i

Also notice the difference between arg and Arg as this often slips students up and always present Arg in prinicple argument form ie -pi<Arg<pi

Hopefully this has been clear enough and good luck

8 0
3 years ago
MARKING BRAINLIST! A blu-ray has a circumference of 25.12 inches. What is the radius of the blu-ray?
Genrish500 [490]

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Step-by-step explanation:

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divide circumference by pi

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6 0
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elena-s [515]

Answer:

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Step-by-step explanation:

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4 0
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