All categories

3 years ago

What is the number of ways to arrange 6 objects from a set of 10 different objects? A. 520. B. 78,400. C. 210. D. 151,200

1 answer:

5 0

The correct answer in this question is option D. There are 151,200 ways to arrange six objects from a set of ten different objects. To solve this, the permutation formula is used. This type of equation is utilized for ordered arrangements.

10!/(10-6)! = 3,628,800/24

= 151,200

You might be interested in

Without using a calculator, determine the number of real zeros of the function

kumpel [21]

The number of real zeros of the function f(x) = x3 + 4x2 + x − 6 is 3

<h3>How to determine the number of real zeros?</h3>

The equation of the function is given as:

$f(x) = x^3 + 4x^2 + x - 6$

Expand the function

$f(x) = x^3 + 5x^2 - x^2 + 6x - 5x - 6$

Reorder the terms

$f(x) = x^3 + 5x^2 + 6x - x^2 - 5x - 6$

Factor the expression

$f(x) = x(x^2 + 5x + 6) -1(x^2 + 5x + 6)$

Factor out x -1

$f(x) = (x^2 + 5x + 6)(x -1)$

Expand

$f(x) = (x^2 + 3x + 2x + 6)(x -1)$

Factorize

$f(x) = [x(x + 3) + 2(x + 3)](x - 1)$

Factor out x + 2

$f(x) = (x + 3)(x + 2)(x- 1)$

The function has been completely factored and it has 3 linear factors

Hence, the number of real zeros of the function f(x) = x3 + 4x2 + x − 6 is 3

Read more about functions at:

brainly.com/question/7784687

#SPJ1

3 0

2 years ago

Find the equation of the graphed line and select the best answer from the choices provided.

klemol [59]

Answer:

Step-by-step explanation:

The y-intercept must be at -7, so that eliminates C.

Because of the direction of the line, the slope needs to be negative. This eliminates B.

The slope of the line is -7/6, so D is the correct answer.

6 0

3 years ago

1)The pyramid has a square base that us inscribed in the circular base of the cone. Draw an image of the composite shape of the

DENIUS [597]

Answer:

Diameter of the circle is $8\sqrt{2}$ units

Step-by-step explanation:

It is given that the vertices of the square fall on the circle.

So, the diagonal of the square is the diameter of the circle.

Also, the diagonal and the two sides of the square form a right angled triangle.

By Pythogoras theorem,

$hypotenuse^{2} =side^{2} +side^{2}$

= $8^{2} +8^{2}$

= $2(8^{2} )$

$hypotenuse=8\sqrt{2}$ units

Hence, the diameter of the circle is $8\sqrt{2}$ units

7 0

3 years ago

In the right triangle, what is sin (k)

umka2103 [35]

Answer:

Sine is a trigonometric ratio comparing two sides of a right triangle. Sine is usually shortened to sin but is pronounced sine. This function can be used to determine the length of a side of a triangle when given at least one side of the triangle and one of the acute angles

Step-by-step explanation:

hope this helps

7 0

2 years ago

What is the standard to slope intercept form 4x - 4y = -8

cupoosta [38]

Answer:

y = x + 2

Step-by-step explanation:

4x - 4y = -8 can be rearranged to slope-intercept form by isolating y.

$4x - 4y = -8\\-4y = -8 - 4x\\y =\frac{-8-4x}{-4} \\y = 2 + x\\y = x + 2$

4 0

3 years ago