All categories

2 years ago

8 people are boarding a plane 2 have tickets for first class and board before everyone. In how many ways can these people board

the aircraft?

Mathematics

1 answer:

mixer [17]2 years ago

3 0

$2!6!=2\times1\times6\times5\times4\times3\times2\times1=1440$

You might be interested in

Find the other endpoint given the following <br><br><br> Endpoint: (5,-3) Midpoint: (7,-6)

dusya [7]

The answer is (9, -9) for The second endpoint.

Let's start by calling the known endpoint L and the unknown K. We'll call the midpoint M. In order to find this, we must first note that to find a midpoint we need to take the average of the endpoints. To do this we add them together and then divide by 2. So, using that, we can write a formula and solve for each part of the k coordinates. We'll start with just x values.

(Kx + Lx)/2 = Mx

(Kx + 5)/2 = 7

Kx + 5 = 14

Kx = 9

And now we do the same thing for y values

(Ky + Ly)/2 = My

(Ky + -3)/2 = -6

Ky + 3 = -12

Ky = -9

This gives us the final point of (9, -9)

7 0

2 years ago

If x√(1+y) + y√(1+x) = 0 , then dy/dx = ?

frutty [35]

$DIFFERENTIAL \: \: \: CALCULUS \\ \\ \\ Given \: expression \: - \\ \: \\ x \sqrt{1 + y} \: = \: y \sqrt{1 + x} \\ \\ x \sqrt{1 + y} \: = \: - y \sqrt{1 + x} \\ \\ \\ Squaring \: both \: sides \: , \: We \: get \: - \: \\ \\ {x}^{2} (1 + y) = {y}^{2} (1 + x) \\ \\ {x}^{2} + {x}^{2} y - {y}^{2} - x {y}^{2} = 0 \\ \\ ( {x}^{2} - {y}^{2} ) + xy(x - y) = 0 \\ \\ (x - y)(x + y + xy) = 0 \\ \\ Therefore \: , \: either \: \: y=x \: \: or \: \\ \: \: \: \: \: \: \: \: \: \: \: x+y+xy=0 \\ \\ \\ Since \: , \: \: x=y \: \: doesn't \: satisfy \: the \\ given \: function \: , \: we \: reject \: it \\ \\ x + y + xy = 0 \\ \\ y \: \: = \: \: \frac{ - x}{1 + x} \\ \\ \frac{dy}{dx} \: \: = \: - \: \frac{(1 + x) - x.1}{ {(1 + x)}^{2} } \\ \\ \\ \frac{dy}{dx} = \frac{ - 1}{( {1 + x)}^{2} } \: \: \: \: \: \: \: \: \: Ans.$

6 0

2 years ago

What is the solution to the equation? round your answer to two decimal places. 6•e^x=25

wolverine [178]

Answer:

Step-by-step explanation:

Given

6 $e^{x}$ = 25 ( divide both sides by 6 )

$e^{x}$ = $\frac{25}{6}$

Take the ln of both sides

ln $e^{x}$ = ln ( $\frac{25}{6}$ ) , hence

x lne = ln ( $\frac{25}{6}$ ) ← note ln e = 1

x = ln ( $\frac{25}{6}$ ) ≈ 1.43 → A

7 0

2 years ago

Find the measure of each angle

inessss [21]

Answer:

Find the measures of each angle.

When angles are complementary, the sum of their measures is 90 degrees. Two complementary angles have measures of 2x-10 degrees and 3x-10degrees.

6 0

2 years ago

Read 2 more answers

The size of an insect population doubles every week. If there are 25 insects initially present, how many insects will there be i

Nata [24]

Answer:

tence there will be 6,00 insects abter 8 weeks.

Step-by-step explanation:

8 0

1 year ago