If a stone has 390 J of energy and is moving with
a speed of 12 m/s, what is the mass of the stone?

Answers

Answer 1

Answer:

5.4 g

Explanation:

The stone is already in motion, so the only energy it has is kinetic. The formula for kinetic energy is:

[tex]KE=\frac{1}{2} mv^{2}[/tex]

You can substitute the 390 J in for KE and 12 m/s in for v. After that, the equation looks like:

[tex]390=\frac{1}{2} m12^{2}[/tex]

Then do basic algebra and m=5.4 g


Related Questions

A sample of gas has a volume of 42 L at a pressure of 200 kPa and a temperature of 30^ * C . What would be the volume, if the pressure were increased to 250 kPa and the temperature were decreased to 5^ * C ?

Answers

Answer:

30 L

Explanation:

Ideal gas law:

PV = nRT

Rearranging:

PV / T = nR

Since n and R are constant:

P₁ V₁ / T₁ = P₂ V₂ / T₂

Plugging in values and solving:

(200 kPa) (42 L) / (30 + 273.15 K) = (250 kPa) V / (5 + 273.15 K)

V = 30.8 L

Rounded to one significant figure, the new volume is 30 L.

in which medium does sound travel the fastest​

Answers

Answer:

Solids

Explanation:

Aluminum

Explanation:

Which numbers indicate the phases during which the moon is waxing?
A)1,5
B)2,3,4
C)5,6,7,8
D)2,3,4,5,6,7

Answers

Answer:

A

Explanation:

it is just right

help? the first line is supposed to say "all _ has heat"​
click the image

Answers

1 is matter
2 is energy
3 is vibrate
4 faster
5 warmer
6 transfer
7 is hot
8 is cold
9 is temperature
10 is solid
11 is contact
12 is conduction
13 is fluid
14 is less
15 is more
16 convection
17 is waves
18 is radiation
19 is emit
20 is absorb

what device is made of coils of wire with an electrical current passing through it in order to generate a magnetic field

Answers

Transformer

Explanation:

A transformer is a device with two or more magnetically coupled windings. A time varying current in one coil (primary winding) generates a magnetic field which induces a voltage in the other coil (secondary winding). Transformers are capable of either increasing or decreasing the voltage and current levels of their supply, without modifying its frequency, or the amount of electrical power being transferred from one winding to another via the magnetic circuit. There are two types of transformer:

1. Step up transformer - increases voltage

2. Step down transformer - decreases voltage

The differential distribution of ions across the cell membrane is due to the:
A. A lack of cell ATP

B. Difference in permeability of the cell membrane to ions

C. Resting membrane potential

D. Na+-K+-ATPase pump

Answers

The differential distribution of ions across the cell membrane is due to the "resting membrane potential".

Option: C

Explanation:

The unequal allocation of charged particles like ions between the internal and external portion of cell, and by the varying membrane permeability to various ion forms, understood as resting membrane potential.

Within a sleeping brain, Na+ and K+ ions exhibit concentration gradients throughout the membrane, which push their gradients down through channels, resulting in a differentiation of the charges that generates the resting potential. With K+ than Na+ ions, the membrane is even more permeable, so the resting potential is similar to potassium ion's equilibrium potential.

Final answer:

The differential distribution of ions across the cell membrane is largely due to the Na+-K+-ATPase pump, a protein that uses ATP to transport sodium and potassium ions against their concentration gradients. Other factors such as the membrane's ion permeability, the resting membrane potential, and ATP levels also contribute.

Explanation:

The differential distribution of ions across the cell membrane is primarily due to the Na+-K+-ATPase pump, also known as the sodium-potassium pump. This protein structure uses energy from ATP to pump three sodium ions out of the cell and two potassium ions into the cell, establishing a concentration gradient. The difference in permeability of the cell membrane to various ions also plays a role in the differential distribution, but the Na+-K+-ATPase pump is the primary mechanism.

The resting membrane potential and cell ATP levels also indirectly influence ion distribution. The resting membrane potential is a result of the charge difference across the cell membrane due to the ion distribution, while a lack of ATP can affect the energy-dependent Na+-K+-ATPase pump's function.

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How do you find the value of e?

Answers

Answer: 22.48°Explanation:

refractive index = sin i / sin e

where i is the angle of incidence

e is the angle of refraction

1.5 = sin 35 / sin e

1.5 = 0.5736/sin e

sin e = 0.5736/ 1.5

sin e = 0.3824

e = 22.48°

2. A 1.00 x 103 kg sports car accelerates from rest to 25.0 m/s in 7.50 s. What is the

average power output of automobile engine?

a. 20.8 kW

b. 30.3 kW

C. 41.7 kW

Answers

Answer:

C = 41.7kW

Explanation:

Data ;

Mass (M) = 1x10³kg

Initial velocity (u) = 0m/s

Final velocity (v) = 25m/s

Time (t) = 7.5s

Power = Work / time

Work = force * distance

acceleration = average velocity/ time

Acceleration = (25 - 0) / 7.5 = 3.3m/s²

Power = force * velocity (speed)

Average velocity = (25 - 0) / 2 = 12.5m/s

Force = mass * acceleration = 1x10³ * 3.3 = 3333.33N

Power = force * velocity

Power = 3333.33 * 12.5 / 41666.67W

Answer:

C. 41.7 kW

Explanation:

car's acceleration is the velocity difference over time: a = (v1 - v0)/t = (25 - 0)/7.5 = 3.3 m/s^2

The avg. power P = F * v

The avg. speed is thus v = (v0 + v1)/2 = (0 + 25)/2 = 12.5 m/s

F = m * a = 1*10^3 * 3.3 = 3,333 N

P = 3,333 * 12.5 = 41,667 W = 41.7 kW

which type of energy is stored in a stretched string on the bow in the following figure ​

Answers

Answer:

potential energy

Explanation:

Answer: Elastic Potential Energy

Explanation: For stretched material such as ropes or strings they have a certain form of energy that allows them to stretch or compress. The energy is called elastic energy. For the case of the string on the bow it possess Elastic Potential Energy since there is no motion in the string.

what is the position of the car at the end of the 10 secs?

Answers

Answer:

S=400m

Explanation:

Given t=10.and [tex]a=8m/s^2[/tex],

Initial velocity,[tex]u[/tex], of the car is zero.

To find distance,[tex]s[/tex]

[tex]S=ut+0.5at^2[/tex]

[tex]S=0\times10+0.5\times8\times10^2\\S=400m[/tex]

Therefore, car's position after 10seconds is 400m away from the start.

Four ball are simultaneously launched with the same speed from the same height and h above the ground. At the same instant, ball 5 is released from the rest at the same height. Rank in order, from shortest to longest, the amount of time it takes each of these balls to hit the ground ( some maybe simultaneously.)

Answers

Final answer:

In this scenario of Physics involving free fall and projected motion, all the balls launched, whether from rest or different angles, from the same height will hit the ground simultaneously. The time of flight in such a case, considering no air resistance, will only depend on the initial height from the ground and the acceleration due to gravity, not on the initial speed or direction of projection.

Explanation:

The question pertains to the physics concept of free fall and their time of flights. To reiterate, all the balls are being launched from the same height, h, including ball 5 which is released from rest. According to physics, irrespective of their initial velocities or launch angles, all objects in free fall will hit the ground at the same time assuming they are dropped from the same height. This is because the time a projectile is in the air is governed by its vertical motion alone and in this scenario, all the balls have the same vertical component which is the same height from which they are dropped. So, all of the balls including ball 5 will hit the ground simultaneously.

This understanding is backed by two key principles. One, that the horizontal and vertical motions of a projectile are independent of each other, meaning the horizontal velocity does not affect the vertical fall. Two, that the time of flight of a projectile is linearly proportional to the initial velocity in the y direction (height in this case) and inversely proportional to g (acceleration due to gravity). Considering the fact that all the balls start from rest, have the same height, and experience the same acceleration due to gravity, the time of flight for all balls becomes equal.

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5. In Ohm's Law, "\" stands for
it is measured in amps.
O current
O resistance

Answers

Answer:current is measured in amps

Explanation:

Current measured in amps

Answer:

Current

Explanation:

Obviously

A 59 kg man has a total mechanical energy of 150,023. J. If he is swinging downward and is currently 2.6 m above the ground, what is his speed ?

Answers

Answer:

71

Explanation:

A 59 kg man has a total mechanical energy of 150,023. J. If he is swinging downward and is currently 2.6 m above the ground, his speed 71 m/sec.

What is energy?

Energy is the ability or capability to do tasks, such as the ability to move an item (of a certain mass) by exerting force. Energy can exist in many different forms, including electrical, mechanical, chemical, thermal, or nuclear, and it can change its form.

Using conservation of energy

m*g*h + 0.5 m*v² = 150023 joule

59*9.8*2.6 + 0.5*59*v² = 150023

1503.32 + 29.5 v² = 150023

29.5 v² = 148519.60

v² = 5034.56

v = 70.95 = 71 m/sec

A 59 kg man has a total mechanical energy of 150,023. J. If he is swinging downward and is currently 2.6 m above the ground, his speed 71 m/sec.

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I need help for this exercise:
Crumple zones in cars increase the time and the distance over the which a car stop during a collision. The length of the crumple zone is 1.6m.
a) Find the maximum speed that the car could have when hitting a wall head-on without subjecting the passager to an acceleration of more than 46.2g (i.e., 46.2 times the acceleration due the gravity)
b) How long would that collision last?

Answers

Answer:

a) The maximum speed is 38 m/sb) The collision would last 0.083 s

Explanation:

By increasing the time and the distance over which a car stops during a collision, the change in the velocity (acceleration) is reduced, reducing, in consequence, the impact.

The equation to determine the change in velocity for a uniformly accelerated motion is given by the relation between the speed, the distance, and the acceleration:

v² - u² = 2×acceleration × distance

The acceleration must be less than or equal to 46.2g, which is 46.2 × 9.8m/s² = 452.76m/s². Thus, the condition is acceleration ≤ 452.76m/s²

Here, using the maximum acceleration:

u = final velocity = 0acceleration = 457.76m/s²distance = 1.6 m

Thus:

v² = 2 (457.76m/s²) × 1.6mv = 38.06m/sv = 38 m/s

To determine the time use the impulse notion.

Impulse = Force × ΔtChange in momentum = mass × ΔvImpulse = Change in momentumForce × Δt = mass × ΔvForce / mass = Δv / Δtacceleration = Δv / Δt

Since the final velocity is 0 (the car stops), Δv is the speed of the car: Δv = v.

Substitute:

v/Δt = 457.76 m/s²Δt = v / 457.76 m/s²Δt = (38 m/s) / (457.76m/s²) = 0.083s

The moon’s relative motion causes

Answers

Answer: Different cycles of the moon and ocean currents are all I can think of.

Answer:

Different cycles of the moon and ocean currents.

Explanation:

for inclined plane derive efficiency =L/h​

Answers

Answer: L=F/a

Explanation:

Efficiency of inclined plane is L/h VR.

What is meant by the efficiency of an inclined plane ?

Efficiency of an inclined plane is defied as the ratio of effort in moving a body up or down without friction to that with friction.

Here,

The efficiency of an inclined plane,

η = MA/VR

η = (l/h)/ (dE/dl)

η = L/h (VR)

Hence, derived the efficiency for inclined plane is L/h VR.

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A 63 kg astronaut drifting with 7.0 m/s to the right with

respect to a spacecraft uses a jetpack to slow down.

Suppose it takes 14.0 s to come to a stop with respect to the spacecraft. What is the force exerted by the jetpack?

Answers

Answer:

31.5N

Explanation:

M = 63kg, v = 7.0m/s t = 14.0s F =?

Force = Mass * acceleration

but acceleration = change in velocity / time

a = dV/dt

F = (63 * 7.0) / 14

F = 31.5N

Final answer:

To calculate the force exerted by the jetpack, we use the astronaut's deceleration and mass. The deceleration is obtained from the change in velocity (from 7.0 m/s to 0 m/s in 14.0 s). Applying Newton's second law, the force equals to the mass (63 kg) multiplied by the deceleration (-0.5 m/s²), resulting in a force of 31.5 newtons in magnitude.

Explanation:

The question is asking to calculate the force exerted by a jetpack that an astronaut uses to come to a stop relative to a spacecraft. First, we'll use the formula for acceleration (a) which is the change in velocity (Δv) divided by the change in time (Δt). In this case, the astronaut decelerates from 7.0 m/s to 0 m/s in 14.0 s, so the acceleration is -7.0 m/s divided by 14.0 s, which equals -0.5 m/s² (the negative sign indicates deceleration).

The next step is to apply Newton's second law of motion: F = ma, where F is the force, m is the mass, and a is the acceleration. Plugging in the values we have: F = 63 kg * (-0.5 m/s²) = -31.5 N. The negative sign indicates that the force is in the opposite direction of the initial velocity, i.e., to the left if the initial movement was to the right.

The magnitude of the force exerted by the jetpack is 31.5 newtons.

Objects that are not moving have NO _____. A. mass (only) B. mass and momentum (only) C. velocity and momentum (only) D. mass, velocity, and momentum

Answers

Answer:

Objects that are not moving have NO velocity and momentum (only)

Explanation:

This best explains the potential energy of an object, when an object is at rest. it is said to have possessed a potential energy but without velocity and momentum i.e energy at rest

is there carbon atoms in the compound Ca3N2​

Answers

No, there are not any carbon atoms inside this compound.

The compound is [tex]Ca_3N_2[/tex]. This means there are 3 "Ca" atoms and 2 "N" atoms.

Ca is calciumN is nitrogen

Thus, none of the elements in this compound are carbon, meaning there are no carbon atoms. Let me know if you need any clarifications, thanks!

~ Padoru

No mate. Ca denotes calcium. Ca3 means three calcium atoms. N denotes nitrogen. N2 denotes two nitrogen atoms

what is nuclear radiation?

Answers

Answer:

noun. Physics. radiation in the form of elementary particles emitted by an atomic nucleus, as alpha rays or gamma rays, produced by decay of radioactive substances or by nuclear fission.

Explanation:

Final answer:

Nuclear radiation, or radioactivity, is energy and particles emitted by the nucleus in a nuclear reaction. It includes gamma-rays, alpha-particles, beta-particles, neutrons, and positrons. While useful in many areas, such as cancer detection and city powering, it can also pose health risks.

Explanation:

Nuclear radiation, also known as radioactivity, is the energy and particles emitted by the nucleus during a nuclear reaction. It is a form of ionizing radiation, meaning the energy is sufficient to ionize matter, or change the structure of atoms.

Nuclear radiation includes gamma-rays (y-radiations), alpha-particles (a-particles), beta-particle (B-particles), neutrons (n), and positrons (3+-particles). These types of radiation originate from the radioactive decay of naturally occurring radionuclides.

While nuclear radiation is integral to many aspects of daily life, such as cancer detection, artifact study, city powering, it can also pose health risks. For instance, high doses of nuclear radiation can cause burns and hair loss.

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Determining Current as a Function of Voltage
A set of data is collected from a simple circuit with a
20 2 resistor and is represented in the table.
Voltage
Current
Resistance
(V)
(A)
The current at 5.0 VisY A.
The current at 15 Vis a
5.0
20
15 T
I
20.

Answers

Answer:5.0 v is 0.25a

15v is 0.75a

Explanation:

1: A, 0.25

2: C, 0.75

Why and how is oil used to reduce the effects of friction in large machines

Answers

By reducing friction

Explanation:

A big machine is composed of several moving and stationary parts. Some of these parts are in a state of constant motion hence they periodically rub against each other. The friction between the body parts causes the body part to wear out and heat up in the process. This heat is symbolic of waste of energy.

The lubricating agents are a saviour in such conditions. Lubricating oils with high viscosities reduces friction. If we go deep into the working of the lubrication we find that the interacting parts of machines are quite rough when viewed under microscope. These rough surfaces when interact produce bumpy motion, wear and tear, heat etc.

Oil fills these microscopic voids and thus provides temporary relief. When these lubricated body parts interact, they encounter plain surface with decreased friction (due to high viscosity of the oils) and thus glide over each other freely thereby producing smooth movements, noiseless working.

 

If two objects with different masses are pushing each other, which exerts the greater force?


A. The object with the greater mass exerts the greater force on the smaller object because the larger object has more inertia.

B. It is impossible to tell which object exerts the greater force unless we know which object accelerates.

C. The object with the smaller mass exerts the greater force on the larger object because it requires more force to make the larger object move.

D. They both exert the same amount of force on each other regardless of their mass, but in opposite directions.

Answers

Answer:

the answer is 100% A

Explanation:

Answer:

If two objects with different masses are pushing each other, which exerts the greater force?

The object with the greater mass exerts the greater force on the smaller object because the larger object has more inertia.

Explanation:

Why is the speed of sound faster in a humid and warm sea-level rainforest compared to the top of Mount Everest?

Answers

Answer: Because the speed of sound varies depending on the medium and its temperature.

Explanation:

Sound is a mechanical wave, this means its velocity of propagation depends on the medium.

Now, in general sound waves travel faster in solids than in liquids or gases. In addition, it varies with changes in the temperature of the medium. This is because an increase in temperature means that the frequency of interactions between the particles that transport the vibration increases, hence this increase in activity increases the speed.

So, the speed of sound in a gas (air, for example) is not constant, but depends on the temperature.  

Hence, the higher the air temperature, the greater the velocity of propagation; that is why the speed of sound is faster in a humid and warm sea-level rainforest compared to the top of Mount Everest, which is cold.

In lab, your instructor generates a standing wave using a thin string of length L = 1.65 m fixed at both ends. You are told that the standing wave is produced by the superposition of traveling and reflected waves, where the incident traveling waves propagate in the +x direction with an amplitude A = 3.65 mm and a speed vx = 13.5 m/s . The first antinode of the standing wave is a distance of x = 27.5 cm from the left end of the string, while a light bead is placed a distance of 13.8 cm to the right of the first antinode. What is the maximum transverse speed vy of the bead?

Answers

The given standing wave on a string has a wavelength (λ) of 0.55 m, a frequency (f) of 24.54 Hz, a wave number (k) of 11.46 rad/m, and an angular frequency (ω) of 154.3 rad/s. The displacement of the bead at its position is given by the wave equation, and the maximum transverse speed (vy_max) is estimated to be approximately 0.4 m/s.

Length of the string (L) = 1.65 m

Amplitude of the traveling wave (A) = 3.65 mm

Speed of the traveling wave (vx) = 13.5 m/s

Distance of the first antinode from the left end (x) = 27.5 cm

Distance of the bead from the first antinode (d) = 13.8 cm

2. Finding the wavelength (λ):

Since the antinode is the point of maximum displacement, the first antinode is located at half the wavelength from the fixed end. Therefore,

λ = 2 * x = 2 * 0.275 m = 0.55 m

3. Finding the frequency (f):

We can use the relationship between wave speed, wavelength, and frequency:

v = λf

f = v / λ = 13.5 m/s / 0.55 m = 24.54 Hz

4. Finding the wave equation:

The equation for a standing wave on a string can be written as:

y(x, t) = A sin(kx) cos(ωt)

where:

k = wave number (k = 2π/λ)

ω = angular frequency (ω = 2πf)

5. Finding the wave number (k):

k = 2π/λ = 2π / 0.55 m = 11.46 rad/m

6. Finding the angular frequency (ω):

ω = 2πf = 2π * 24.54 Hz = 154.3 rad/s

7. Finding the displacement of the bead at its position:

The bead is located at x = x1 + d, where x1 is the distance of the first antinode from the left end (0.275 m) and d is the distance of the bead from the first antinode (0.138 m).

x1 + d = 0.275 m + 0.138 m = 0.413 m

Substitute this value of x in the wave equation:

y(0.413 m, t) = 3.65 mm * sin(11.46 rad/m * 0.413 m) * cos(154.3 rad/s * t)

8. Finding the maximum transverse speed (vy):

The maximum transverse speed occurs when the derivative of the displacement with respect to time (dy/dt) is at its maximum.

vy(t) = dy/dt = -Aω * cos(kx) sin(ωt)

The maximum value of sin(ωt) is 1, and the maximum value of cos(kx) depends on the position of the bead. Since the bead is not at a node or antinode, cos(kx) will not be 0 or 1.

Therefore, the maximum transverse speed (vy_max) can be estimated as:

vy_max ≈ Aω ≈ 3.65 mm * 154.3 rad/s ≈ 0.4 m/s

What is Earth described as?

Answers

Answer:

Earth, our home, is the third planet from the sun. It's described as the only planet known to have an atmosphere containing free oxygen, oceans of water on its surface and, of course, life. Earth is also the fifth largest of the planets in the solar system. Hope this helped.

Explanation:

Desiree has a scientific question that she wants to investigate. She has developed a hypothesis and method for her experiment. Which step of scientific inquiry should Desiree take next?

Desiree should present her findings to her teacher and classmates.
Desiree should collect data, which may support or refute her hypothesis.
Desiree should provide an explanation for her results.

Answers

Answer:

Desiree should collect data, which may support or refute her hypothesis.

Explanation:

The next step Desiree must take is to collect data which might likely support or refute her hypothesis.

This is usually done by carrying out experiments or field studies.

The scientific method provides the steps through which knowledge of science is investigated. It usually starts with observation. After an observation is made, a scientific question is asked. This leads to the development of hypothesis. Then, experiments are carried out and data collect to either bolster the claim or refute it. Interpretation follows and conclusion is draw.

Desiree should proceed to the step of collecting data, which may support or refute her hypothesis. Therefore option B is correct.

Collecting data is a crucial stage in the scientific inquiry process. It involves conducting experiments or observations to gather information that can either confirm or contradict the hypothesis she has formulated.

By systematically collecting and analyzing data, Desiree can draw conclusions based on empirical evidence. This step forms the backbone of scientific investigation as it provides the tangible information required to validate or revise her hypothesis.

Once she has sufficient data, Desiree can move on to analyzing her results and drawing meaningful conclusions, paving the way for the interpretation and potential communication of her findings.

Therefore option B is correct.

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What is an economic impact of biodiversity?

Answers

Answer:

Sustainability.

Explanation:

Each organism and living creature has its part to play, and with the diverseness, each one supports the other - the cycle of life and the food chain.

Explanation:

an economic part of  biodiversity could be tourism so people would want to see all the different species so that may be good for hotels flight companies and tour guides it may also be good for zoo companies if they increase the different amount of species it could attract more people brainliest pls

When a light ray passes from LESS dense water (n = 1.33) into a MORE dense diamond (n = 2.419) at an angle of 45 degrees, its path is bend _____ the normal.

Answers

Towards

Explanation:

When light is incident at a transparent surface, the transmitted component of the light changes direction at the interface. Another component of the light is reflected at the surface. When a ray of light passes from water to diamond at an angle 45°, its path is bent towards the normal. This is so because water is less dense than the diamond. The refractive index of water (n = 1.33) is less than the refractive index of diamond (n = 2.419).

Light passing from less dense water to more dense diamond bends towards the normal due to a significant change in refractive indices.

When a light ray passes from less dense water (n = 1.33) into more dense diamond (n = 2.419) at an angle of 45 degrees, its path is bent towards the normal.

To calculate the angle of refraction, we can use Snell's Law: n1sinθ1 = n2sinθ2. Given n1 (water) = 1.33, n2 (diamond) = 2.419, and θ1 = 45°, we can solve for θ2.

The larger change in direction in diamond compared to water is due to the significant difference in refractive indices, leading to a greater impact on the path of the light ray.

A cetain car weighs 25,000 N. Calculate the mass of the car.
245.000 kg
25,000 kg
9.81 m/s2
2,500 kg

Answers

Answer:2500kg

Explanation:

Weight of car(w)=25000N

Acceleration due to gravity approximately(g) 10m/s^2

Mass=w/g

Mass=25000/10

Mass=2500kg

Other Questions
What part of your ear is responsible for the popping sensation you feel when youre flying in an airplane? All of the following processes lead to an increase in entropy EXCEPT A) increasing the temperature of a gas. B) melting a solid. C) chemical reactions that increase the number of moles of gas. D) forming mixtures from pure substances. E) decreasing the volume of a gas. Select the correct answer. The belief that the lost item, situation, or person may somehow be returned is known as: A. Acceptance B. Bargaining C. Hope D. Denial 22 POINTS Star Inc., an engineering firm, has come up with a new technical test to assess the knowledge of interviewees. To assess the validity of the test, it requests that its present employees take the test and match it with their performance in the organization. Which of the following types of validation has Star Inc. used to test the validity of its new technical test?a. Faceb. Contentc. Concurrentd. Predictive What is the definition of life experience What is the difference between traditional manufacturing and a cottage industry?A. Manufactured products are better quallyB. Manufacturing is done on a lower scale.C. Manufacturing is done on a larger scale.D. Manufactured items are worth more. The voice, the _______________, and the __________________ seemed to share basic melody, but each performed the melody in a somewhat different fashion, rhythmically as well as melodically resulting in a texture that may be described as _________________. Complete the table. Original PricePercent of DiscountSale Price $4215%$ When car makers began to cut the costs of producing cars by designing the chassis, engine, and transmissions so that different models could be produced on the same assembly line, production costs fell $240 per car. Based on this information, this scenario could potentially illustrate James and Natasha identify as African American. Reflecting a dominant pattern for African Americans, they have children together and are not married. Sociologists might explain their family structure as reflecting 50 points and brainleistA value of 500 increases by 12%. -Which equation could be used to find the new value? A) y=500+(0.12) B) y=500(1.12) C) y=500+(0.12)D) y=500-(0.12) - What is the new value? Answer:Equation_______could be used to find the new value. The new value is______. how was the location of saint peter's basilica selected Find the magnitude of the torque produced by a 4.5 N force applied to a door at a perpendicular distance of 0.26 m from the hinge. Answer in units of N m. Use the given information to find the exact value of each of the following. a. sine 2 theta b. cosine 2 theta c. tangent 2 theta sine theta equals five sixths comma theta lies in quadrant II Ajak Corporation owns 85% of the single class of Utech Corporation stock. Utech Corporation owns 35% of Tech Corporation. Ajak Corporation also owns 50% of Tech Corporation, and Tech Corporation owns 75% of Baxter Corporation.A.Ajak, Tech, Utech, and Baxter Corporations are an affiliated group.B.Ajak, Tech, and Baxter Corporations are an affiliated group.C.Ajak, Tech, and Utech Corporations are an affiliated group.D.None of the above are correct. According to the United States Health and Human Services, the mean height for Americans is 1.757 meters for men and 1.618 meters for women. The standard deviation is 0.074 meters for men's height and 0.069 meters for women's height. Michelles height is 1.758 meters. What is her z-score? In an hour, Henry can wash 20 windows or clean 2 bath tubs. In an hour, Rose can wash 30 windows or clean one bath tub. If their father Dave allows them to trade chores to achieve gains from trade, who will specialize in what?Henry will wash the windows; Rose will clean bath tubs. Henry and Rose will both clean bath tubs. Henry will clean bath tubs; Rose will wash the windows. There are no gains from trade in this situation. how do the narrator's expectations of life away from home affect his perspective of Mme. kergaran? What is the answer to $2.48 for 10 slices of cheese Which topic is too broad for a cause-and-effect essay?A the effect of after-school jobs on dropout ratesB the causes of famine in underdeveloped countriesC how high cholesterol contributes to heart diseaseD reductions in local garbage production due to recycling programs