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3 years ago

Describe an original example of energy changing from one form to two other forms.

1 answer:

6 0

Melting and Freezing is an example of energy changing from one form to another.

In melting, heat energy is added to a solid, and it becomes a liquid.

In freezing, heat energy is removed from a liquid, and it becomes a solid.

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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

Select the correct answer.

vitfil [10]

✳✴Hopefully this will help you!!✳✴

❄Edwin Hubble made many important contributions to astronomy. Up until his observations in 1922, scientists were of the opinion that the universe consisted of only one galaxy: the Milky Way. Hubble's observations of Cepheids and subsequent measurement of their distances (using Henrietta Swan Leavitt's calculations) showed that many celestial objects were too far away to be part of the Milky Way and were actually galaxies themselves.❄

❄By calculating the distances to many newly found galaxies, Hubble also discovered that the galaxies were receding away from Earth and that the speed of recession was proportional to the distance. This established the fact that the universe was expanding, which changed the entire consensus (from the time of Newton) that the universe was finite. It also backed up Georges Lemaître's theory that the universe had a beginning (later called the Big Bang).❄

incorrect Answers:

A̶. H̶e̶ ̶d̶i̶s̶c̶o̶v̶e̶r̶e̶d̶ ̶v̶a̶r̶i̶a̶b̶l̶e̶ ̶s̶t̶a̶r̶s̶.

B. H̶e̶ ̶p̶r̶o̶v̶e̶d̶ ̶t̶h̶a̶t̶ ̶t̶h̶e̶ ̶h̶e̶l̶i̶o̶c̶e̶n̶t̶r̶i̶c̶ ̶m̶o̶d̶e̶l̶ ̶a̶c̶c̶u̶r̶a̶t̶e̶l̶y̶ ̶d̶e̶s̶c̶r̶i̶b̶e̶d̶ ̶o̶u̶r̶ ̶s̶o̶l̶a̶r̶ ̶s̶y̶s̶t̶e̶m̶.

C. H̶e̶ ̶f̶o̶u̶n̶d̶ ̶a̶ ̶r̶e̶l̶a̶t̶i̶o̶n̶s̶h̶i̶p̶ ̶b̶e̶t̶w̶e̶e̶n̶ ̶t̶h̶e̶ ̶p̶e̶r̶i̶o̶d̶ ̶l̶u̶m̶i̶n̶o̶s̶i̶t̶y̶ ̶a̶n̶d̶ ̶d̶i̶s̶t̶a̶n̶c̶e̶ ̶o̶f̶ ̶s̶t̶a̶r̶s̶.

D. H̶e̶ ̶p̶r̶o̶v̶e̶d̶ ̶t̶h̶a̶t̶ ̶t̶h̶e̶ ̶u̶n̶i̶v̶e̶r̶s̶e̶ ̶i̶s̶ ̶f̶i̶n̶i̶t̶e̶.

Answer:

⭕E. He discovered that the universe was expanding.

3 0

3 years ago

Finding a life partner is a complicated process that may take many years. it is hard to think of this process as being part of a

kozerog [31]

Yes , It is perfectly a competetive market

It can be considered as a competetive market because of the following reasons:

Numerous young people looking for a suitable companion for themselves make up the existence accomplice search industry.

Every single one of them comes with a specific list of traits and personalities in search of a partner with specific characteristics. For instance, some people look for age, some for character, some for wealth, etc.

Additionally, there is a significant search cost involved because finding partners, shortlisting them, speaking with them, and determining whether they are a good fit takes a lot of time and is ultimately pointless.

Given the large number of young men and women and their diverse characteristics, this market should therefore be seen as even more of a monopolistically serious market. Each one focuses on utility excellence, although they are not all that alike.

Learn more about Competitive market here :

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4 0

2 years ago

The cost of antivirus software package is $65 for the first year and $10 for each annual renewal. of the independent variable is

Jobisdone [24]

Y = 65 x 10x...............

6 0

3 years ago

What is widely considered to be a limitation to Piaget's cognitive theory of development?

Gnom [1K]

Answer:

Explanation:

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3 years ago