All categories

3 years ago

Q # 1 simplify the expression

Mathematics

1 answer:

Agata [3.3K]3 years ago

5 0

<u>Answer</u>

95,040

<u>Explanation</u>
The interpretation of this expression is; the number of permutation of 5 objects out of 12.

12P5 = 12!/(12-5)!

=12!/7!
=(12×11×10×9×8×7×6×5×4×3×2×1)/(7×6×5×4×3×2×1)

=12×11×10×9×8
=95,040

You might be interested in

Write the equation of the sphere in standard form. x^2 + y^2 + z^2 + 2x − 4y − 6z = 22

madam [21]

The equation $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ in standard form looks like $(x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}$ .

Given equation of sphere be $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ .

We are required to express the given equation in the standard form of the equation of sphere.

Equation is basically relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It may be linear equation,quadratic equation, cubic equation or many more depending on the powers of variables. The standard form of the equation of sphere looks like $x^{2} +y^{2} +z^{2} =r^{2}$ .

The given equation is $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ .

We have to break 22 which is in right side into various parts according to the left side of the equation.

$x^{2} +y^{2} +z^{2} +2x-4y-6z=-1-4-9+36$

$x^{2} +y^{2} +z^{2} +2x-4y-6z+1+4+9=36$

$x^{2} +1+2x+y^{2}+4-4y+z^{2} +9-6z=36$

$x^{2} +(1)^{2} +2*1*x+y^{2} +(2)^{2} -2*2y+z^{2} +(3)^{2} -2*3z=36$

$(x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}$

Hence the equation $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ in standard form looks like $(x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}$ .

Learn more about equations at brainly.com/question/2972832

#SPJ4

7 0

1 year ago

How do I find number 2?

prisoha [69]

Answer:

y = 3/4x +4

Step-by-step explanation:

From point A to point B, you show a rise of 3 units and a run of 4 units. (The rise is the difference in height of the first two squares; the run is the side length of the first square.) The ratio rise/run = 3/4 is the slope of the line you want.

The upper-left corner of the first square is the y-intercept of the line (4). So, in slope-intercept form, the equation of the dotted line is ...

y = mx + b . . . . . m = slope; b = y-intercept

y = 3/4x + 4

8 0

3 years ago

The function f(x) =4x+3 represents the length of a rectangle. The function g(x)=2x-5 represents the width of the rectangle.Use (

nata0808 [166]

Answer: 32x-68

Step-by-step explanation:

(f•g) is equal to f(gx)

f(x)=4(2x-5)+3

Which is 8x-20+3=8x-17

Now multiply by 4.

4(8x-17)

= 32x-68

6 0

3 years ago

Read 2 more answers

I need a 5 digital number

azamat

Answer:

What do you mean by that?

Step-by-step explanation:

5 0

3 years ago

Does anybody know how to do #11, I figured out #10

const2013 [10]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers