Find the value of P(10,3).<br> Hint: P(n,r)= n!/(n-r)!<br> 90

Which of the following are capital sources for corporations? Select all that apply.

bonufazy [111]

Hey! The answer is loans!

6 0

3 years ago

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PLEASE HELP ASAP

alisha [4.7K]

After an end to colonialism, the common challenges that were faced by countries in the Caribbean, Africa, and Asia are: B. military dictatorships, human rights abuses, economic instability.

<h3>What is colonialism?</h3>

Colonialism can be defined as a practice or an act of political and economic domination by a group of people or power from one country over other people or geographical regions that are located in another country, especially by establishing colonies.

Historically, some of the common challenges that that were faced or experienced by countries in the Caribbean, Africa, and Asia faced after an end to colonialism include the following:

Military dictatorships

Human rights abuses

Economic instability

Read more on colonialism here: brainly.com/question/8048490

6 0

2 years ago

How do the chemical senses operate?

vichka [17]

Taste (gustation) and smell (olfaction) are called chemical senses because both have sensory receptors that respond to molecules in the food we eat or in the air we breathe.

4 0

3 years ago

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The regions bounded by the graphs of y=x2 and y=sin2x are shaded in the figure above. What is the sum of the areas of the shaded

Alex Ar [27]

Answer:

The sum of the area of the shaded regions = 0.248685

Explanation:

The sum of the area of the shaded region is given as follows;

The point of intersection of the graphs are;

y = x/2

y = sin²x

∴ At the intersection, x/2 = sin²x

sinx = √(x/2)

Using Microsoft Excel, or Wolfram Alpha, we have that the possible solutions to the above equation are;

x = 0, x ≈ 0.55 or x ≈ 1.85

The area under the line y = x/2, between the points x = 0 and x ≈ 0.55, A₁, is given as follows

1/2 × (0.55)×0.55/2 ≈ 0.075625

The area under the line y = sin²x, between the points x = 0 and x ≈ 0.55, A₂, is given using as follows;

$\int\limits {sin^n(x)} \, dx = -\dfrac{1}{n} sin^{n-1}(x) \cdot cos(x) + \dfrac{n-1}{n} \int\limits {sin^{n-2}(x)} \, dx$

Therefore;

$A_2 = \int\limits^{0.55}_0 {sin^2x} \, dx = \dfrac{1}{2} \left [x -sin(x) \cdot cos(x) \right]_0 ^{0.55}$

∴ A₂ =1/2 × ((0.55 - sin(0.55)×cos(0.55)) - (0 - sin(0)×cos(0)) ≈ 0.0522

The shaded area, $A_{1 shaded}$ = A₁ - A₂ = 0.075625 - 0.0522 ≈ 0.023425

Similarly, we have, between points 0.55 and 1.85

A₃ = 1/2 × (1.85 - 0.55) × 1/2 × (1.85 - 0.55) + (1.85 - 0.55) × 0.55/2 = 0.78

For y = sin²x, we have;

$A_4 = \int\limits^{1.85}_{0.55} {sin^2x} \, dx = \dfrac{1}{2} \left [x -sin(x) \cdot cos(x) \right]_{0.55} ^{1.85} \approx 1.00526$

The shaded area, $A_{2 shaded}$ = A₄ - A₃ = 1.00526 - 0.78 ≈ 0.22526

The sum of the area of the shaded regions, ∑A = $A_{1 shaded}$ + $A_{2 shaded}$

∴ A = 0.023425 + 0.22526 = 0.248685

The sum of the area of the shaded regions, ∑A = 0.248685

8 0

3 years ago

According to Freud, the deepest level of a person’s consciousness will __________. affect the storage and recall of memories not

Luba_88 [7]

According to Sigmund Freud who is a Psychoanalyst, the deepest level of a person's consciousness will be outside the awareness of the person. According to him, the mind is divided into three levels which are called the id, ego, and superego where id is the deepest level of consciousness.

3 0

3 years ago

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Find the value of P(10,3). Hint: P(n,r)= n!/(n-r)! 90