This is a model that describes how much energy is transferred from one trophic
level to the next.
energy pyramid

food web

food chain

trophic level

Explanation:

In Physics, many quanitties are the function of other quanitities.

For instance in kinematics, where the displacement (s), position (x), velocity (v) and time (t) of a particle are related.

Suppose the position of a particle can be descirbed as a function of time, i.e.

[tex]x=f(t)[/tex]

then since velocity is the rate of change of position, we write

[tex]v=\dfrac{d}{dt}f(t)=f'(t)[/tex]

which is the derivative of the poisiton/ time function.

On the other hand, the displacement of the particle is the sum of position changes over time, so the displacement can be defined by

[tex]s=\int^{t_1}_{t_0}f(t)dt[/tex]

which is the integration of postion/ time function.

Answer:

P = W / t = m g s / t = m g v       where work by auto = m g s

30 kw = 30000 watts = 30000 J / s

Work wasted = F v       as shown above relating work and power

Work done against incline = m g s sin 8.75  and power against incline

= m g v sin 8.75 = 1222 v Joules / sec

power in moving auto = power available - power lost to friction

power in moving auto = 30000 - resistance = 30000 - 910 v

1222 v = 30000 - 910 v

v = 30000 / 2132 = 14 m/s

Note: constant resistance to motion must mean P = W / t = F s / t = F v

Maximum speed will be v = 14.07 m/s

Power is defined time rate of doing work or delivering energy.

Work done = Force * displacement

Power = work done / time

           = (Force * displacement ) / time

since , displacement / time = velocity

Power  = force * (displacement / time ) = force  * velocity

Power = mass * acceleration * velocity (  as force = mass * acceleration)

since , car is travelling up in an incline of 8.75° to the horizontal

hence , it will have two components of velocity

vertical component = v sin (theta ) = v sin(8.75°)

horizontal component = v cos (theta)= v cos (8.75°)

Power = m* a * v sin (theta )

          = 820 * 9.8  * v *sin (8.75°)                        ( a = g = 9.8 m[tex]/s^{2}[/tex])

         = 1221.472 v

Power lost due to resistance in motion  = 910 * velocity = 910 v

Power = Total power - power lost due to resistance in motion

           = 30 * [tex]10^{3}[/tex]  - 910 v

30 * [tex]10^{3}[/tex]  - 910 v = 1221.472 v  

v = 14.07 m/s

Maximum speed will be v = 14.07 m/s

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We know

[tex]\boxed{\sf K.E=\dfrac{1}{2}mv^2}[/tex]

For Rotational motion

[tex]\boxed{\sf v=r\omega}[/tex].

Putting value

[tex]\\ \qquad\quad\sf{:}\dashrightarrow K.E=\dfrac{1}{2}m(r\omega)^2[/tex]

[tex]\\ \qquad\quad\sf{:}\dashrightarrow K.E=\dfrac{1}{2}mr^2\omega^2[/tex]

[tex]\\ \qquad\quad\sf{:}\dashrightarrow K.E=\dfrac{1}{2}m\left(\dfrac{R_o}{2}\right)^2v_o^2[/tex]

[tex]\\ \qquad\quad\sf{:}\dashrightarrow K.E=\dfrac{1}{4}mv_o^2[/tex]

Answer:

7 hours 30 minutes

Explanation:

Since the car will take 1 hour to cover 100 km we can conclude that it takes 7 hours to cover 700 km, and it will take half the time to cover half the remaining distance i.e. it will take 30 minutes to cover the remaining 50 kilometers.

Answer:

don't know what class are you which subject is this

Answer:

I think it's possible to know if more universes exist like how we found out that more galaxies exist.

Answer:

There are 5 significant figures in 52.887

5, 2, 8, 8, 7 --> all of these numbers are considered significant.

We have that the three correct answers are

We First define the two Phenomenons

Solar Winds

These are Particles such as Plasma and other Harmful particles Dispersed by the sun of the a galaxy that can be harmful to Humans.

Geomagnetic storm

A Geometric storm is a kind of storm that comes about because of the an attack of the solar wind on earths magnetic field above atmosphere.

Therefore

In conclusion

The three correct answers are

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Explanation:

A carbon atom can form covalent bonds with other carbon atoms

Answer:

I hope it's helpful for you ☺️

Answer:

Nó

Answer:

μ = tanθ = tan30 = 0.58

Explanation:

μ = force parallel/force perpendicular = mgsinθ/mgcosθ = tanθ

George Washington was an American political leader, military general, statesman and Founding Father of the United States, who serves as the first president of the United States from 1789 to 1797.

During the American Revolution, the led the colonial forces to victory over the British and became a national hero. In 1787, he was elected president of the convention that wrote the U.D. constitution. Two years later, Washington became the America's first president.

Explanation:

A perfectly elastic collision is defined as one in which there is no loss of kinetic energy in the collision. An inelastic collision is one in which part of the kinetic energy is changed to some other form of energy in the collision.

Answer:

d is the right answer

it's was helpful to you

Answer:

It has 3 electrons

Explanation:

Neutral atom has an overall charge of zero.

Since atomic number is 3, it has 3 protons [ positive charges ]. So, to be neutral, the atom must have 3 electrons [ negative charges ] to cancel out the positive charge.

Answer:

The answer is D. Four covalent bounds

A - B = (10i - 2j - 4k) - (i + 7j - k)

A - B = 9i - 9j - 3k

|A - B| = √(9² + (-9)² + (-3)²) = √189 = 3√19

Answer:

2 m = E / c^2      where m is mass of electron

E = h v     where v is the frequency ( nu) of the incident photon

E = h c / y      where y is the incident wavelength (lambda)

2 m = h / (c y)

y = h / (2 m c)      wavelength required

y = 6.62 * 10E-34 / (2 * 9.1 * 10E-31 * 3 * 10E8)  m

y = 3.31 / 27.3 E-11 m

y = 1.21 E -12 m   = .0121 Angstrom units

Answer:

arrow E represents cycling of carbon from living organisms to non-living organisms. this is because it is showing conversion of a carbon from the dead tree to fossil fuel.

________________________________________________________

Darkspirit :)

Answer:

I believe it is True

Explanation:

Tidal energy is the form of energy used to generate electrical energy.

The form of the energy is used to generate electrical energy in a tidal power station is kinetic energy.

Kinetic energy is the energy that an object has as a result of its movement. If we intend to accelerate an object, we should indeed apply force to it. Using force requires us to put in effort.

After work is completed, energy is transmitted to the object, and the object moves at a new constant speed.

Tidal energy is generated by the movement of our tides and oceans, where the intensity of the water from tide rise and fall is a type of kinetic energy.

Tidal power is related to gravitational hydropower, which uses water movement to propel a turbine and generate electricity.

Thus, kinetic energy is used to generate electrical energy in a tidal power station.

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2: For a sample of data [tex]x_1,x_2,\ldots,x_N[/tex], the mean of this sample denoted by [tex]\overline x[/tex] is the sum of the data divided by the number of data points,

[tex]\overline x = \dfrac{x_1+x_2+\cdots+x_N}N = \displaystyle\frac1N\sum_{i=1}^N x_i[/tex]

As an example, consider [tex]x_1=-1[/tex], [tex]x_2=1[/tex], and [tex]x_3=3[/tex]. Then

[tex]\overline x = \dfrac{-1+1+3}3 = 1[/tex]

3: Standard deviation is a measure of how dispersed a given data sample is relative to the mean. Consult the plot: for a normal distribution, approximately 68% of it lies within 1 standard deviation of the mean, approx. 95% within 2 standard deviations, and approx. 99.7% within 3 standard deviations.

For instance, if the data is pulled from a normally distributed population with mean 0 and standard deviation 1, if you were to randomly select any data from the population, then 68% of the time it will fall in the range (-1, 1); 95% of the time it will fall within (-2, 2); 99.7% of the time it fall within (-3, 3).

To compute the standard deviation for a sample, for each [tex]x_i[/tex] in [tex]x_1,x_2,\ldots,x_N[/tex], you

• take the difference between [tex]x_i[/tex] and the mean [tex]\overline x[/tex]

• square this difference

• sum all the squared differences

• divide the sum by N - 1 (for a sample) or N (for a population)

• take the square root

Here the standard deviation is denoted [tex]\sigma^x_{N-1}[/tex], which I would read as "the sample standard deviation of the data x" - sample because of the N - 1 subscript.

Continuing with the previous example, we'd have

[tex]\sigma^x_{N-1} = \displaystyle \sqrt{\frac{\left(-1-1\right)^2+\left(1-1\right)^2+\left(3-1\right)^2}{3-1}} = \sqrt4 = 2[/tex]

4: Not much more to say here, the standard error is basically a measure of how accurate a given estimate is about the population based on the sample data. It's analogous to uncertainty in measuring length with a ruler, for instance.

In our example,

[tex]\alpha^x = \dfrac2{\sqrt3}[/tex]

5: If x, y, and z are random variables, then I suppose ρ is meant to denote a function of these random variables (so that ρ itself is just another random variable). For instance, you could have ρ = x + 3y - 2z. Then [tex]\overline\rho[/tex] is the sample mean of ρ.

I'm not entirely sure about the notation [tex]x(\overline x,\sigma^x_{N-1},\alpha^x)[/tex], but I suspect it's just referring to sample x with mean [tex]\overline x[/tex] and standard deviation [tex]\sigma^x_{N-1}[/tex] with standard error [tex]\alpha^x[/tex].

∆ρ is just the differential of ρ, essentially capturing how ρ changes with respect to small changes in x, y, and z. The expression you see here follows from the chain rule for differentiation.

The formula you see for [tex]\sigma^\rho_{N-1}[/tex] is the sample standard deviation of ρ. Think of ∆ρ as a vector with 3 components. Then [tex]\sigma^\rho_{N-1}[/tex] is the magnitude of this vector.

Similarly, [tex]\alpha^\rho[/tex] is the standard error for ρ, and corresponds to the magnitude of the vector whose components are the standard errors of x, y, and z.

In order for these statistics to make sense, each of x, y, and z must be samples of the same number of data. Say we take x as before [tex](x_1=-1,x_2=1,x_3=3)[/tex], along with [tex]y_1=0,y_2=4,y_3=-2[/tex] and [tex]z_1=-3,z_2=\frac12,z_3=10[/tex]. Suppose ρ = x + 3y - 2z. Then

• the sample means of y and z :

[tex]\overline y = \dfrac{0+4-2}3 = \dfrac23 \\\\ \overline z = \dfrac{-3+\frac12+10}3 = \dfrac52[/tex]

• the standard deviations of y and z :

[tex]\sigma^y_{N-1} = \sqrt{\dfrac{\left(0-\frac23\right)^2+\left(4-\frac23\right)^2+\left(2-\frac23\right)^2}{3-1}} = 2\sqrt{\dfrac73} \approx 3.06\\\\ \sigma^z_{N-1} = \sqrt{\dfrac{\left(-3-\frac52\right)^2+\left(\frac12-\frac52\right)^2+\left(10-\frac52\right)^2}{3-1}} = \dfrac{\sqrt{181}}2 \approx 6.73[/tex]

• the values of ρ :

[tex]\rho_1 = x_1+3y_1-2z_1 = -1+2\times0-2\times(-3) = 5 \\\\ \rho_2 = x_2+3y_2-2z_2 = 1+3\times4-2\times\dfrac12=12 \\\\ \rho_3 = x_3+3y_3-2z_3 = 3+3\times(-2)-2\times10 = -23[/tex]

• the sample mean of ρ :

[tex]\overline\rho = \dfrac{5+12-23}3 = -2[/tex]

• by the chain rule,

[tex]\Delta\rho = \Delta x+3\Delta y-2\Delta z[/tex]

so the standard deviation of ρ :

[tex]\sigma^\rho_{N-1} = \sqrt{\left(\sigma^x_{N-1}\right)^2 + \left(3\sigma^y_{N-1}\right)^2 + \left(-2\sigma^z_{N-1}\right)^2} \\\\\sigma^\rho_{N-1}= \sqrt{2^2 + 9\left(2\sqrt{\dfrac73}\right)^2 + 4\left(\dfrac{\sqrt{181}}2\right)^2} = \dfrac12\sqrt{\dfrac{703}3} \approx 7.65[/tex]

• the standard errors of y and z :

[tex]\alpha^y = \dfrac{2\sqrt{\frac73}}{\sqrt3} = \dfrac23\sqrt7 \approx 1.76 \\\\ \alpha^z = \dfrac{\frac{\sqrt{181}}2}{\sqrt3} = \dfrac12\sqrt{\dfrac{181}3} \approx 3.88[/tex]

• the standard error of ρ :

[tex]\alpha^\rho=\sqrt{\left(\alpha^x\right)^2+\left(3\alpha^y\right)^2+\left(-2\alpha^z\right)^2}\\\\\alpha^\rho=\sqrt{\left(\dfrac2{\sqrt3}\right)^2+9\left(\dfrac23\sqrt7\right)^2+4\left(\dfrac12\sqrt{\dfrac{703}3}\right)^2}=\sqrt{269}\approx16.40[/tex]

Answer:

Distance

Explanation:

Gravity is indirectly related to distance. This means if distance increases, gravitational pull decreases.

Answer:

Scintillators are materials that transform high-energy radiation like X-rays or gamma-rays into visible light or near-visible light. They're commonly utilized in medical diagnostics, high-energy physics, and geophysical exploration as detectors.

Explanation:

i hope this helps

Answer:

Power is 3000 W

Explanation:

Momentum = mass × velocity

[tex]300 = 20 \times v \\ velocity = 15 \: {ms}^{ - 1} [/tex]

For power:

[tex]P = \frac{force \times distance}{time} \\ \\ P = force \times ( \frac{distance}{time} )[/tex]

but distance/time is velocity, so:

[tex]P = force \times velocity[/tex]

but force = mass × acceleration:

[tex]P = (mass \times acceleration) \times velocity \\ P = (20 \times 10) \times 15 \\ P = 3000 \: \: watts[/tex]

[ taken acceleration to be 10 m/s² ]