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3 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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A circle passes through the point (0,0.5). What it’s radius

belka [17]

Answer: The radius of this circle is 0.5

Step-by-step explanation:

We have a circle that passes through the point (0, 0.5)

We do not know the center of the circle, so we have infinite possible radius to answer this, but let's suppose that the center of the circle is in the point (0, 0)

For a circle centered in the origin, we have the equation:

x^2 + y^2 = r^2

Where r is the radius.

Here we have that x = 0 and y = 0.5

then:

0^2 + (0.5)^2 = r^2

0.5^2 = r^2

r = 0.5

The radius of this circle is 0.5

6 0

3 years ago

Alabama has about 2.51 million acres of cropland Florida has about 1.15 times as much cropland as Alabama how much crop land doe

aev [14]

Answer: Florida has 2.8865 million acres of cropland .

Explanation:

Since we have given that

Length of acres of cropland Alabama has = 2.51 millions

According to question, we have Florida has about 1.15 times as much cropland as Alabama has ,

So,

Length of acres of cropland Florida has is given by

$2.51\times 1.15=2.8865\text{ million acres }$

So, Florida has 2.8865 million acres of cropland .

8 0

3 years ago

In an arithmetic sequence, a17 = -40 and

Viktor [21]

Answer:

Tn = 2Tn-1 - Tn-2

Step-by-step explanation:

Before we can generate the recursive sequence, we need to find the nth term of the given sequence.

nth term of an AP is given as:

Tn = a+(n-1)d

If a17 = -40

T17 = a+(17-1)d = -40

a+16d = -40 ...(1)

If a28 = -73

T28 = a+(28-1)d = -73

a+27d = -73 ...(2)

Solving both equations simultaneously using elimination method.

Subtracting 1 from 2 we have:

27d - 16d = -73-(-40)

11d = -73+40

11d = -33

d = -3

Substituting d = -3 into 1

a+16(-3) = -40

a - 48 = -40

a = -40+48

a = 8

Given a = 8, d = -3, the nth term of the sequence will be

Tn = 8+(n-1) (-3)

Tn = 8+(-3n+3)

Tn = 8-3n+3

Tn = 11-3n

Given Tn = 11-3n and d = -3

Tn-1 = Tn - d... (3)

Tn-1 = 11-3n +3

Tn-1 = 14-3n

Tn-2 = Tn-2d...(4)

Tn-2 = 11-3n-2(-3)

Tn-2 = 11-3n+6

Tn-2 = 17-3n

From 3, d = Tn - Tn-1

From 4, d = (Tn - Tn-2)/2

Equating both common difference

(Tn - Tn-2)/2 = Tn - Tn-1

Tn - Tn-2 = 2(Tn - Tn-1)

Tn - Tn-2 = 2Tn-2Tn-1

2Tn-Tn = 2Tn-1 - Tn-2

Tn = 2Tn-1 - Tn-2

The recursive formula will be

Tn = 2Tn-1 - Tn-2

5 0

3 years ago

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What makes up the sides of an angle?

lesantik [10]

The sides of the angle are the lengths which it is formed

3 0

2 years ago

Y=2x+3 y=4x+7 solve by elimination

lina2011 [118]

2x+3 = 4x+7
-4 = 2x
x = -2

6 0

3 years ago

Read 2 more answers