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4 years ago

Compute the permutation.

1 answer:

3 0

This is a question of permutation, where;

There is only one farmer who who has to plow four field. The farmer can choose to start and end with any field. Since ordering is critical, permutation theory comes into play.

Orders of plowing = nPr = n!/(n-r)!

Where
n = 4
r = 1
Substituting;
Orders of plowing = 4P1 = 4!/(4-1)! = 4

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vichka [17]

Answer:

The Surface area of the moon is $4.53 \times 10^{17}$

Step-by-step explanation:

Given:

Diameter of the moon = 3.8 x 10 to the 8th

To Find :

The surface area of the moon = ?

Solution:

The moon is in the shape of of the sphere .

So the surface area of the moon = surface area of the sphere

The surface area of the sphere = $4\pi r^2$

Where r is the radius of the sphere

Radius , r = $\frac{Diameter}{2}$

r = $\frac{3.9 \times 10^8}{2}$

r = $1.9 \times 10^8$

Now the surface area of the moon with radius r = $1.9 \times 10^8$ is

=> $4 \pi \times (1.9 \times 10^8)^2$

=> $4 \times 3.14 \times (1.9 \times 10^8)^2$

=> $12.56 \times 3.61 \times 10^{16}$

=> $45.34 \times 10^{16}$

=> $4.53 \times 10^{17}$

3 0

4 years ago

What is the slope for (−10,1) And (0,−4) A -2 B - 1/2 C 2 D 1/2

alukav5142 [94]

Answer:B

Step-by-step explanation: dy/dx = (1--4)/(-10-0)

= 5/-10

=-1/2

5 0

3 years ago

I can't figure out this question?

laila [671]

Do 6/30 and you will get .2lbs a day.

3 0

3 years ago

Read 2 more answers

I need the help I’m stuck and need the answer

egoroff_w [7]

5 points only.. hm...

5 0

3 years ago

What is the average value of y=cosx/x^2+x+2 on the closed interval "[-1, 3]"?

soldi70 [24.7K]

We have
y=cos x/(x²+x+2) on the closed interval [-1, 3]

we know that
The average value of f(x) on the interval [a, b] is given by:
F(avg) = 1/(b - a) ∫ f(x) dx (from x=a to b).
(b-a)=(3+1)------> 4
= 1/4 ∫ cos(x)/(x² + x + 2) dx (from x=-1 to 3).

Note that [cos(x)/(x² + x + 2)] does not have an elementary anti-derivative.
By approximating techniques:
1/4 ∫ cos(x)/(x^2 + x + 2) dx (from x=-1 to 3) ≈ 0.182951

the answer is
the average value of y = cos(x)/(x² + x + 2) on [-1, 3] is approximately 0.182951

5 0

3 years ago