Which of the two is of interest in the plant locational decision?

Answer:

The combined mass of the two stars is 2.9417 solar masses.

Explanation:

The mathematical expression for Kepler's third law is;

                        \(P^{2}\) = \(\frac{4\pi ^{2} }{k^{2} (M_{1} + M_{2} }a^{3}\)

Where: P is the period in days, a is the semimajor axis in AU, \(M_{1}\) is the mass of the first star, \(M_{2}\) is the mass of the second star and k is the Gaussian gravitational constant.

Given that;

P = 10 years = 3670 days (including two leap years)

a = 6.67 AU

k = 0.01720209895 rad

\(\pi\) = \(\frac{22}{7}\)

The sum of the masses of the two star can be determined by;

\((M_{1} + M_{2})\) = \(\frac{4\pi ^{2} }{P^{2}k^{2} } a^{3}\)

                = \(\frac{4*(\frac{22}{7}) ^{2} } {(3650)^{2} * (0.01720209895)^{2} } (6.67)^{3}\)

                = \(\frac{11724.29601}{3942.2904}\)

               = 2.9417 solar masses

Thus the combined mass of the two star is 2.9417 solar masses.

The major role of thermal energy (heat) in metamorphism is to facilitate the recrystallization and reorganization of minerals within rocks.

Heat increases the kinetic energy of atoms and molecules, allowing them to move more freely and facilitating chemical reactions. During metamorphism, rocks are subjected to elevated temperatures, typically within the range of a few hundred to several hundred degrees Celsius. The application of heat leads to changes in the mineral composition, structure, and texture of the rocks, resulting in the formation of new minerals and the reorientation of existing minerals. Thermal energy promotes the growth of new mineral crystals by dissolving existing minerals and facilitating their reprecipitation in new arrangements. This recrystallization process leads to the development of distinct foliation or banding in metamorphic rocks, which are characteristic features of certain metamorphic rock types.

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(a) At time, t = 0.25 s, the y position of the driver is 0.31 m.

(b) At time, t = 0.50 s, the y position of the driver is 1.2 m

(c) At time, t = 0.75 s, the y position of the driver is 2.76 m

The position of the driver at the various time is determined by applying the following kinematic equation.

y = vt + ¹/₂gt²

where;

Since the driver runs horizontally, the initial vertical velocity = 0

y = 0 + ¹/₂gt²

y = ¹/₂gt²

at time, t = 0.25 s, the y position of the driver is calculated as;

y = ¹/₂gt²

y = ¹/₂(9.8)(0.25)²

y = 0.31 m

at time, t = 0.5 s, the y position of the driver is calculated as;

y = ¹/₂gt²

y = ¹/₂(9.8)(0.5)²

y = 1.2 m

at time, t = 0.75 s, the y position of the driver is calculated as;

y = ¹/₂gt²

y = ¹/₂(9.8)(0.75)²

y = 2.76 m

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When a light ray is hit into a flat mirror the angle of incidence is equal to angle of reflection. But if the mirror is curved, this relation is not satisfied and the angle of reflection changes.

When a light ray is hot on a mirror a line that is perpendicular to the mirror's surface can be drawn at the point of incidence where the ray contacts the mirror.

A typical line is what this line is. The angle formed by the incident and reflected rays is split into two equal angles by the normal line. The angle of incidence is the angle formed by the incident beam and the normal. The angle of reflection is the angle formed by the reflected beam and the normal.

According to the law of reflection, the angle of incidence and the angle of reflection are identical whenever a light beam reflects off a surface. However, for a curved mirror these two angles will be different.

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To solve this problem, we can use the concept of related rates. We are given that the distance s between the airplane and the radar station is decreasing at a rate of 400 km per hour when s = 10 km. We need to find the horizontal speed of the plane.

Let's denote the horizontal speed of the plane as v. Since the plane is flying at a constant height of 6 km above the ground, we can consider a right triangle formed by the airplane, the radar station, and the ground. The distance between the airplane and the radar station is the hypotenuse of this triangle, and the height of the triangle is 6 km.

Using the Pythagorean theorem, we have:

s^2 = (v^2) + (6^2)

Differentiating both sides of the equation with respect to time t, we get:

2s(ds/dt) = 2v(dv/dt)

Since ds/dt is the rate at which the distance s is changing (given as -400 km/h) and s = 10 km, we can substitute these values into the equation:

2(10)(-400) = 2v(dv/dt)

Simplifying further:

-8000 = 2v(dv/dt)

Now, we need to find the value of dv/dt, which represents the rate at which the horizontal speed of the plane is changing. Rearranging the equation, we have:

dv/dt = -8000 / (2v)

Given that s = 10 km, we can substitute this value into the equation for v:

10 = (v^2) + (6^2)

10 = v^2 + 36

v^2 = 10 - 36

v^2 = -26

Since we are dealing with speeds, we can discard the negative value. Therefore, the horizontal speed of the plane is v = √26 km/h (approximately 5.1 km/h).

according to the question mention above, the horizontal speed of the plane is approximately 833.3 km/h.

We can start by using the formula:
s^2 = d^2 + h^2
where s is the distance between the airplane and the radar station, d is the horizontal distance between them, and h is the height of the airplane.
Taking the deriviative with respect to time, we get:
2s ds/dt = 2d dd/dt
Since the airplane is flying at a constant height, we know that dh/dt = 0. Therefore, we can simplify the equation to:
ds/dt = -(d/s) dd/dt
Substituting the given values, we have:
s = 10 km
ds/dt = -400 km/h
h = 6 km
Solving for d, we get:
d = sqrt(s^2 - h^2) = sqrt(10^2 - 6^2) km ≈ 8 km
Substituting into the equation for ds/dt, we have:
-400 km/h = -(8 km/10 km) dd/dt
Simplifying, we get:
dd/dt = 500 km/h
Therefore, the horizontal speed of the plane is:
d/dt = dd/dt / cos(theta)
where theta is the angle between the horizontal distance and the line of sight between the airplane and the radar station. Since the airplane is flying towards the radar station, we can assume that theta is small and approximately equal to the angle of depression. Therefore:
cos(theta) ≈ h/s = 6 km / 10 km = 0.6
Substituting, we get:
d/dt = 500 km/h / 0.6 ≈ 833.3 km/h
Therefore, the horizontal speed of the plane is approximately 833.3 km/h.

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Answer:

scattering of light

Explanation:

is the scattering of light as a light beam passes through a colloid. The individual suspension particles scatter and reflect light, making the beam visible. ...

To calculate the density of solid Rb in the body-centered cubic unit cell with an edge length of 5.70x10² pm the density of this metal in the solid state is 1.533 g/cm³.

Explanation:

follow these steps:

step1. Convert the edge length to cm: 5.70x10² pm * (1 cm/10¹⁰ pm) = 5.70x10⁻⁸ cm.
step2. Find the volume of the unit cell: V = (edge length)³ = (5.70x10⁻⁸ cm)³ = 1.851193x10⁻²³ cm³.
step3. Calculate the number of Rb atoms in a body-centered cubic unit cell 1 atom at the center and 1/8 atom at each of the 8 corners, giving a total of 1 + 8(1/8) = 2 atoms.
step4. Determine the molar mass of Rb: 85.47 g/mol (from the periodic table).
step5. Calculate the mass of 2 Rb atoms: (2 atoms/unit cell) * (1 mol/6.022x10²³ atoms) * (85.47 g/mol) = 2.83746x10⁻²² g.
step6. Calculate the density of the solid Rb density = mass/volume = 2.83746x10⁻²² g / 1.851193x10⁻²³ cm³ = 1.533 g/cm³.

The density of this metal in the solid state is 1.533 g/cm³.

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The horizontal distance travelled by the football is 3.1 m.

The angle of projection of the football is calculated as follows;

tan ( θ ) = Vy / Vx

where;

tan ( θ ) = 5 / 3

tan ( θ ) = 1.667

θ = arc tan (1.667)

θ = 59⁰

The resultant velocity of the ball is calculated as follows;

v = √ (Vx² + Vy²)

v = √ (3² + 5²)

v = 5.83 m/s

The horizontal distance travelled by the football is calculated as follows;

x = v² sin(2θ) /g

where;

x = [ (5.83)² sin(2 x 59) /9.8 ]

x = 3.1 m

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The method "displacement" calculates and returns the change in position of a moving body with initial velocity (Vo), acceleration (a), and elapsed time (t) using the formula: Displacement = Vot + 1/2 at^2.

The displacement of a moving body can be determined using the equation: Displacement = Vot + 1/2 at^2. Here's a step-by-step explanation of how to compute the change in position:

Begin by multiplying the initial velocity (Vo) by the elapsed time (t): Vot.

Next, calculate the term 1/2 at^2 by multiplying the acceleration (a) by half of the square of the elapsed time: (1/2) * a * t^2.

Add the two computed values together: Vot + (1/2) * a * t^2.

The resulting value is the displacement, representing the change in the position of the body over time while accelerating.

For example, let's consider the input values Vo = 3.0 m/s, a = 4.0 m/s^2, and t = 5.0 s:

Displacement = (3.0 * 5.0) + (1/2 * 4.0 * 5.0^2)

= 15.0 + (1/2 * 4.0 * 25.0)

= 15.0 + (2.0 * 25.0)

= 15.0 + 50.0

= 65.0 m.

Therefore, for the given example, the displacement of the moving body is 65.0 meters.

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If 60 Joules of energy are applied to the bricks, so   the lever’s efficiency is 60%.

Efficiency is a measure of how well a machine or system transforms input energy into useful output energy. It is a ratio of output energy to input energy. In this case, the team of students builds a lever as a science project. They expend 100 Joules of energy to lift some bricks with the lever. If 60 Joules of energy are applied to the bricks, what is the lever’s efficiency? In this case, we have;

Total input energy, I = 100 J

Total output energy, O = 60 JEfficiency, η = Output energy/Input energyη = O/II = O/ηη = O/I = 60/100 = 0.6

or 60%Therefore, the efficiency of the lever is 60%.

This implies that the lever converts 60% of the input energy to useful output energy. That is, it requires 100 J of input energy to lift the bricks, but only 60 J of energy is applied to the bricks. The remaining 40 J is lost due to friction, air resistance, or other forms of energy dissipation.

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The difference between a dental X-ray examination and the bright lights of the exam room lies in the type of radiation emitted. During a dental X-ray examination, the X-ray source emits ionizing radiation, which can be harmful if a person is exposed to it for too long.

This is why the person giving the X-ray examination will leave the room while the X-ray source is active. The bright lights of the exam room, on the other hand, emit non-ionizing radiation, which is not as harmful and can be safely exposed to without any special precautions.

The type of radiation emitted is an important factor when considering safety precautions. Ionizing radiation can be dangerous, so it is important to take the necessary steps to protect oneself from it. Non-ionizing radiation, on the other hand, is not as dangerous and can be safely exposed to without taking any special precautions. This is why the person giving the X-ray examination will leave the room while the X-ray source is active, but dental office workers do not take similar precautions against the bright lights of the exam room.

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Answer:

Independent Variable

Explanation:

The variables that are plotted on X-axis, the horizontal line of the graph are termed as independent variables. The variables plotted on Y-axis which is vertical side of the graph are dependent variables.

Answer:

The answer is C.

When Earth is positioned precisely between the Moon and Sun, Earth's shadow falls upon the surface of the Moon, dimming it and sometimes turning the lunar surface a striking red over the course of a few hours which is how a lunar eclipse happens.

When the Moon orbits Earth, the Moon moves between the Sun and Earth. When this happens, the Moon blocks the light of the Sun from reaching Earth. This causes an eclipse of the Sun, or a solar eclipse. During a solar eclipse, the Moon casts a shadow onto Earth.

The cake has a height of 18 inches. The total relief of the cake is 12 inches. Assuming that each layer of cake has a height of 6 inches and that the bottom of the cake is at 0 inches, we can determine the total relief of the cake by calculating how tall the cake is.

Since the cake has three layers, we can add the height of each layer to get the total height of the cake:6 inches (bottom layer) + 6 inches (middle layer) + 6 inches (top layer) = 18 inchesTherefore, the cake has a height of 18 inches. To determine the total relief of the cake, we need to subtract the height of the bottom of the cake (0 inches) from the height of the top of the cake (18 inches):18 inches - 0 inches = 18 inchesSo the total relief of the cake is 18 inches. However, this is not one of the options provided. We can also see that the options provided are in inches, not feet, so we need to convert 18 inches to feet:18 inches ÷ 12 inches/foot = 1.5 feetTherefore, the total relief of the cake is 1.5 feet. However, this is also not one of the options provided.

Since none of the options match our calculation of the total relief of the cake, we need to try a different approach. We know that the cake has a height of 18 inches, and each layer is 6 inches tall. Therefore, we can subtract the height of the bottom layer from the height of the cake to get the total relief:18 inches - 6 inches = 12 inchesSo the total relief of the cake is 12 inches. This matches one of the options provided, so the answer is: The total relief of the cake is 12".

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The volume of object will be equal to the volume of water displaced so the object's volume is also 17.04 dm⁻³.

In water, the object appears lighter than in air.

That is,

936 - 769 = 167N.

Water provided the167N buoyant force.

The buoyant force on an object in water is equal to the weight of water displaced by the object. The buoyant force acting on the metal object in this case is 167N. The object must have displaced the same weight of water.

Given g = 9.8m/s²

Water displacement mass:

Mass = weight /g

         = 167/9.8

.         = 17.04 kg

Water displacement volume:

At room temperature, the density of water is 1.000 kg.dm⁻³. Each kilogram of water has a volume of 1 dm³ (one cubic decimeter), which is equal to 1 L. (one liter).

V = Mass / Density

= m/ρ

= 17.04/1.000 kg.dm⁻³

= 17.04dm⁻³

The object is completely submerged. As a result, the object's volume will remain constant. The object is completely submerged. As a result, the object's volume will be equal to the volume of water displaced. The object's volume is also 17.04 dm⁻³.

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The resulting equation of motion for the system is given by m × x''(t) + k × x(t) = f(t), which is 2 × x''(t) + 18 * x(t) = 2 * sin(2t).

What is  equation of motion?

The equations of motion are a set of mathematical relationships that describe the motion of objects under the influence of forces. There are different sets of equations of motion, depending on the specific scenario and the type of motion being considered (linear motion, projectile motion, circular motion, etc.). The equations of motion for linear motion, also known as the equations of uniformly accelerated motion.

To find the equation of motion for the system, we start with Newton's second law of motion, which states that the sum of forces acting on an object is equal to the mass of the object multiplied by its acceleration. In this case, the object is the 2-kg mass attached to the spring.

The force exerted by the spring is proportional to the displacement of the mass from its equilibrium position, and it can be expressed as F_spring = -k× x(t), where k is the spring constant and x(t) is the displacement of the mass at time t.

In addition to the force exerted by the spring, there is an external force f(t) = 2 ×sin(2t) acting on the mass.

Applying Newton's second law, we have the equation of motion: m ×x''(t) + k ×x(t) = f(t).

Substituting the given values, m = 2 kg and k = 18 N/m, we obtain 2 ×x''(t) + 18 × x(t) = 2 ×sin(2t).

Therefore, the resulting equation of motion for the system is 2 × x''(t) + 18 × x(t) = 2 × sin(2t).

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The puppy was not moving relative to Daylon, the wagon, or his collar.

He was moving relative to a point on the sidewalk.

Note that the puppy did NOT get his walk.

In terms of attitude change, the fundamental tenet of the cognitive theory would be that individuals are typically driven to lessen dissonance, which could be accomplished by altering their attitudes but also beliefs.

Cognitive theories concentrate on the premise that how exactly what people think causes the arousal of emotions, suggesting that some thoughts, as well as beliefs, as well as beliefs, contribute to healthy emotions as well as adaptive behavior while others lead to disturbing emotions and behaviors.

When people sense unease or guilt as a result of cognitive dissonance, they can actively lessen the dissonance by altering their attitude, beliefs, and even conduct in relation to it in order to attain consistency with both the contradictory cognitions.

In terms of attitude change, the fundamental tenet of the cognitive theory would be that individuals are typically driven to lessen dissonance, which could be accomplished by altering their attitudes but also beliefs.

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Given information: The average method reports the following unit data for the forming department. Units completed in the forming department are transferred to the painting department. Production cost information for the forming department follows.

Direct materials:
Units completed during the period = 45,000 units
Ending work in process inventory = 5,000 units
Direct materials cost = $202,500

Conversion costs:
Units completed during the period = 45,000 units
Ending work in process inventory = 5,000 units
Conversion cost = $189,000

a. Calculation of equivalent units of production for both direct materials and conversion for the forming department:
Equivalent units of production = Units completed during the period + (Ending work in process inventory * Degree of completion)
Direct materials:
Equivalent units of production = 45,000 + (5,000 * 50%) = 47,500 units

Conversion costs:
Equivalent units of production = 45,000 + (5,000 * 60%) = 48,000 units

b. Calculation of the cost per equivalent unit of production for both direct materials and conversion for the forming department:
Cost per equivalent unit of production = Total cost for the period / Equivalent units of production

Direct materials:
Cost per equivalent unit of production = $202,500 / 47,500 units = $4.26 per unit

Conversion costs:
Cost per equivalent unit of production = $189,000 / 48,000 units = $3.94 per unit

c. Calculation of the cost assigned to the forming department's output using the weighted average method:
Total cost = Cost of units transferred out + Cost of ending work in process inventory
Cost of units transferred out = Number of units transferred out * Cost per equivalent unit of production
Cost of ending work in process inventory = Number of units in ending work in process inventory * Cost per equivalent unit of production

Direct materials:
Cost of units transferred out = 40,000 * $4.26 per unit = $170,400
Cost of ending work in process inventory = 5,000 * $4.26 per unit = $21,300
Total cost = $170,400 + $21,300 = $191,700

Conversion costs:
Cost of units transferred out = 40,000 * $3.94 per unit = $157,600
Cost of ending work in process inventory = 5,000 * $3.94 per unit = $19,700
Total cost = $157,600 + $19,700 = $177,300

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Answer:

Mass of object is 0.5kg

Explanation:

Given the following data;

Force = 6N

Acceleration = 12m/s²

Mass =?

Force is given by the multiplication of mass and acceleration.

Mathematically, Force is;

\( F = ma\)

Where;

F represents force.

m represents the mass of an object.

a represents acceleration.

Making mass (m) the subject, we have;

\(Mass (m) = \frac{F}{a}\)

Substituting into the equation;

\(Mass (m) = \frac{6}{12}\)

Mass, m = 0.5kg.

Therefore, the mass of the object is 0.5kg

Swimmer C gets across first. The reasoning behind the three swimmers crossing the river is different. Swimmer A swims directly across the river. Swimmer B swims upstream at an angle that allows him to be carried downstream by the current and reach the other side directly across from his starting point.

Swimmer C swims downstream at an angle that allows him to be carried downstream by the current, therefore, making the current work for him. Therefore, Swimmer C gets across first because he is swimming at the highest speed due to the help of the current. Swimmer B will take longer than he expects because some of his efforts will be spent battling the current. Swimmer A will cover the longest distance and will take longer than both Swimmer B and Swimmer C. Hence, Swimmer C is the one who gets across first.

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The maximum speed at which the racket can move is limited by the physical ability of the player.

The speed at which a ball leaves a racket is determined by several factors, including the speed of the racket at impact, the angle of the racket face, and the properties of the ball itself.

The maximum speed at which the racket can move is limited by the physical ability of the player. A player can only swing the racket so fast before they reach their physical limits. Additionally, the angle at which the racket strikes the ball affects the ball's speed. If the racket face is angled too steeply or too shallowly, it can decrease the speed of the ball.

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(a) Let's start by calculating the helium's weight. We'll apply the well-known weight equation:

W helium =m helium ⋅g

where m helium is the mass of the helium and g is the gravity.

=>W helium =ρ helium ⋅V⋅g

putting the values we get

ρ helium =0.183 kg/ m^3

Therefore, W helilum =76.2 kN

(b) The weight of the air will also be determined in the same manner:

W air =ρ air ⋅V⋅g

=> ρ air =1.205 kg/ m^3

Therefore after substituting the values we get,

W air = 501.35 kN

​

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Answer:

C

Explanation:

The correct option is B i.e p subshell.

In atomic physics and quantum mechanics, electrons are arranged in energy levels and subshells within those levels. Subshells are designated by letters, with the first four being s, p, d, and f.

The subshell in question, the p subshell, has three orbitals. Orbitals are regions in space where electrons are likely to be found. In the p subshell, there are three distinct orbitals labeled as px, py, and pz. These orbitals are oriented along the x, y, and z axes, respectively.

Each of the three p orbitals can hold a maximum of two electrons. This is due to the Pauli exclusion principle, which states that no two electrons in an atom can have the same set of quantum numbers. Therefore, the p subshell can accommodate a total of six electrons (2 electrons per orbital × 3 orbitals).

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Answer:

Radioactivity means: the emission of ionizing radiation or particles caused by the spontaneous disintegration of atomic nuclei.

Explanation: I hope this helps! :)

Answer:

sending out harmful radiation caused when the nuclei (=central parts) of atoms are broken up.