Suppose a uniform slender rod has length L and mass m. The moment of inertia of the rod about about an axis that is perpendicular to the rod and that passes through its center of mass is given by Icm= 1/2mL^2.

Required:
Find Icmd the moment of inertia of the rod with respect to a parallel axis through one end of the rod.

Answers

Answer 1

Answer:

right now I see some of you have a great day

Answer 2

Answer: (mI^2)/3

Explanation:

The parallel axis theorem for the calculation of inertia is: I = I CM + Md^2

So, I is the apathy from an axis that is at distance d from the center of mass and LCM the apathy when the axis passes through the center of mass. Do to this, the axis passes through the end of the rod. In analysis, d=l/2

So, we have the equation:

I = mI^2/12 + m (1/2)^2 = mI^2/12 + mI^2/4 = mI^2/12 + 3mI^2/12 = mI^2/3

This relents us the terminal result: (ml^2)/3.


Related Questions

Which of the following describes the relationship between the weight of fluid
displaced by an object and the buoyant force exerted on the object?
A. Archimedes' principle
B. Flow rate equation
C. Pascal's principle
D. Bernoulli's principle

Answers

the answer is archimedes principle

What type of lens is this?

Answers

The lens type is concave

Tip: A convex lens is thicker at the centre than at the edges.

When light goes through a concave lens, the light that goes through that lens spreads out more due to the structure of the surface of the lens. A concave lens does not form a focal point at the opposing side of the lens. Instead, it spreads out, doing the exact opposite of what a convex lens does. In the picture, we see a lens where the light goes through and unifies at the opposing side, which is what a convex lens does. So, the lens in that image is a convex lens.

3. What type of lens is this?

Answer: Convex

Wrong Answer: Concave

please help me and i will mark u as brainlist

Answers

Answer:

a) 8 secs I think

b)2m/s^2

Suppose the coefficient of static friction between a quarter and the back wall of a rocket car is 0.383. At what minimum rate would the car have to accelerate so that a quarter placed on the back wall would remain in place?

Answers

Answer:

25.59 m/s²

Explanation:

Using the formula for  the force of static friction:

[tex]f_s = \mu_s N[/tex] --- (1)

where;

[tex]f_s =[/tex] static friction force

[tex]\mu_s =[/tex] coefficient of static friction

N = normal force

Also, recall that:

F = mass × acceleration

Similarly, N = mg

here, due to min. acceleration of the car;

[tex]N = ma_{min}[/tex]

From equation (1)

[tex]f_s = \mu_s ma_{min}[/tex]

However, there is a need to balance the frictional force by using the force due to the car's acceleration between the quarter and the wall of the rocket.

Thus,

[tex]F = f_s[/tex]

[tex]mg = \mu_s ma_{min}[/tex]

[tex]a_{min} = \dfrac{mg }{ \mu_s m}[/tex]

[tex]a_{min} = \dfrac{g }{ \mu_s }[/tex]

where;

[tex]\mu_s = 0.383[/tex] and g = 9.8 m/s²

[tex]a_{min} = \dfrac{9.8 \ m/s^2 }{0.383 }[/tex]

[tex]\mathbf{a_{min}= 25.59 \ m/s^2}[/tex]

When two bodies at different temperatures are placed in thermal contact with each other, heat flows from the body at higher temperature to the body at lower temperature until them both acquire the same temperature. Assuming that there is no loss of heat to the surroundings, the heatSingle choice.

(1 Point)

(a) gained by the hotter body will be equal to the heat lost by the colder body

(b) the heat gained by the hotter body will be less than the heat lost by the colder body

(c) the heat gained by the hotter body will be greater than the heat lost by the colder body

(d) the heat lost by the hotter body will be equal to the heat gained by the colder body.​

Answers

Answer:

Part d is correct.

By what amount does the 52-cmcm-long femur of an 85 kgkg runner compress at this moment? The cross-section area of the bone of the femur can be taken as 5.2×10−4m25.2×10−4m2 and its Young's modulus is 1.6×1010N/m2.1.6×1010N/m2.

Answers

Answer:

0.156 mm

Explanation:

Here is the complete question

The normal force of the ground on the floor can reach three times a runner's body weight when the foot strikes the pavement. By what amount does the 52-cm-long femur of an 85 kg runner compress at this moment? The cross-section area of the bone of the femur can be taken as 5.2 × 10⁻⁴  m²  and its Young's modulus is 1.6 × 10¹⁰ N/m²

The Young's modulus of the bone Y = stress/strain = σ/ε = F/A ÷ ΔL/L = FL/AΔL where F = force on bone = 3mg(since it is 3 times his weight) where m = mass of runner = 85 kg and g = acceleration due to gravity = 9.8 m/s². L = length of femur = 52 cm = 0.52 m, A = cross-sectional area of femur = 5.2 × 10⁻⁴  m² and ΔL = compression of femur.

Making ΔL subject of the formula,

ΔL = FL/AY

ΔL = 3mgL/AY

Substituting the values of the variables into the equation, we have

ΔL = 3mgL/AY

ΔL = 3 × 85 kg × 9.8 m/s² × 0.52 m/(5.2 × 10⁻⁴  m² × 1.6 × 10¹⁰ N/m²)

ΔL = 1299.48 kgm²/s² ÷ 8.32 × 10⁻⁶ N

ΔL = 156.1875 × 10⁻⁶ m

ΔL = 0.1561875 × 10⁻³ m

ΔL = 0.1561875 mm

ΔL ≅ 0.156 mm

The amount does the 52-cm long femur of 85 kg is  0.156 mm.

Calculation of the amount:

Since

The Young's modulus of the bone Y should be

= stress/strain

= σ/ε

So,

= F/A ÷ ΔL/L  

here F = force on bone = 3mg

m = mass of runner = 85 kg

and g = acceleration due to gravity = 9.8 m/s²

L = length of femur = 52 cm = 0.52 m,

A = cross-sectional area of femur = 5.2 × 10⁻⁴  m²

and ΔL = compression of femur.

Now

ΔL = FL/AY

ΔL = 3mgL/AY

Now

ΔL = 3mgL/AY

= 3 × 85 kg × 9.8 m/s² × 0.52 m/(5.2 × 10⁻⁴  m² × 1.6 × 10¹⁰ N/m²)

= 1299.48 kgm²/s² ÷ 8.32 × 10⁻⁶ N

= 156.1875 × 10⁻⁶ m

= 0.1561875 × 10⁻³ m

= 0.1561875 mm

= 0.156 mm

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The wave functions for states of the hydrogen atom with orbital quantum number l=0 are much simpler than for most other states, because the angular part of the wave.

a. True
b. False

Answers

True. Fun fact. Hope this helps

Are you aware of human rights violation happening in the community and explain​

Answers

Answer:

Individuals who commit serious violations of international human rights or humanitarian law, including crimes against humanity and war crimes, may be prosecuted by their own country or by other countries exercising what is known as “universal jurisdiction.”

Equilibrium of forces

Answers

Answer:

If the size and direction of the forces acting on an object are exactly balanced, then there is no net force acting on the object and the object is said to be in equilibrium. Because the net force is equal to zero, the forces in Example 1 are acting in equilibrium.

Equilibrium of forces means that the net force is 0. It can either be when there is no force acting on the object or when the force acting on the object are balanced.

A cement block accidentally falls from rest from the ledge of a 53.4-m-high building. When the block is 19.4 m above the ground, a man, 2.00 m tall, looks up and notices that the block is directly above him. How much time, at most, does the man have to get out of the way

Answers

Answer:

The time required by the man to get out of the way is 0.6 s.

Explanation:

height of building, H = 53.4 m

height of block, h = 19.4 m

height of man, h' = 2 m

Let the velocity of the block at 19.4 m is v.  

use third equation of motion

[tex]v^2 = u^2 + 2 gh\\\\v^2 = 0 + 2 \times 9.8 \times (53.4 - 19.4)\\\\v = 25.8 m/s[/tex]

Now let the time is t.

Use second equation of motion

[tex]h = u t + 0.5 gt^2\\\\19.4 - 2 = 25.8 t + 4.9 t^2\\\\4.9 t^2 + 25.8 t - 17.4= 0 \\\\t = \frac{-25.8\pm\sqrt{665.64 + 341.04}}{9.8}\\\\t = \frac{-25.8\pm31.7}{9.8}\\\\t = 0.6 s, - 5.9 s[/tex]

Time cannot be negative so time t = 0.6 s.

The speed of a 2.0-kg object changes from 30 m/s to 40 m/s during a 5.0-second time interval.
During this same time interval, the velocity of the object changes its direction by 90°. What is the
magnitude of the average total force acting on the object during this time interval?
a. 30 N
b. 20 N
c. 15 N
d. 40 N
e. 10 N
Which is the correct answer?

Answers

Answer:

F = 2 * 30 / 5 = 12 N to stop forward motion

F = 2 * 40 / 5 = 16 N to accelerate to 90 degrees

(12^2 + 16^2)^1.2 = 20 N   average force applied

The magnitude of the average total force acting on the object during this time interval is 20 N.

The given parameters:

Mass of the object, m = 2.0 kgInitial velocity, u = 30 m/sFinal velocity, v = 40 m/sTime of motion, t = 5.0 s

The magnitude of the average total force acting on the object during this time interval is calculated as follows;

[tex]F = \frac{mv }{t} \\\\F_1 = \frac{2(40)}{5} \\\\F_1 = 16\ N\\\\F_2= \frac{2(30)}{5} \\\\F_2 = 12 \ N\\\\F = \sqrt{F_1^2 + F_2^2} \\\\F = \sqrt{16^2 + 12^2} \\\\F = 20 \ N[/tex]

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Pete is investigating the solubility of salt (NaCl) in water. He begins to add 50 grams of salt to 100 grams of
room temperature tap water in a beaker. After adding all of the salt and stirring for several minutes, Pete
notices a solid substance in the bottom of the beaker. Which statement best explains why there is a solid
substance in the bottom of the beaker?
A. The salt he is using is not soluble in water.
B. The salt is changing into a new substance that is not soluble in water,
C. The dissolving salt is causing impurities in the water to precipitate to the bottom
D. The water is saturated and the remaining salt precipitates to the bottom

Answers

Answer:

would the answer be c

Explanation: that what i think in my opian

Answer:

A

Explanation:






One way families influence healthy technology use is when siblings explain the use of media to each other. Which of these outfits would you expect if this guideline was followed?

Answers

Answer:

The answer would be C.

Explanation:

This is what I would expect when you show someone else how to do something then is also known as teaching.

Please Mark as Brainliest

Hope this Helps

A flywheel with radius of 0.400 mm starts from rest and accelerates with a constant angular acceleration of 0.600 rad/s2rad/s2. For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Throwing a discus. Part A For a point on the rim of the flywheel, what is the magnitude of the tangential acceleration after 2.00 ss of acceleration

Answers

Answer: [tex]0.00024\ m/s^2[/tex]

Explanation:

Given

Radius of flywheel is [tex]r=0.4\ mm[/tex]

Angular acceleration [tex]\alpha=0.6\ rad/s^2[/tex]

For no change in radius, tangential acceleration is  given as

[tex]\Rightarrow a_t=a\lpha \times r[/tex]

Insert the values

[tex]\Rightarrow a_t=0.6\times 0.4\times 10^{-3}\ m/s^2\\\Rightarrow a_t=2.4\times 10^{-4}\ m/s^2\ \text{or}\ 0.00024\ m/s^2[/tex]

If you drive first at 40 km/h west and later at 60 km/h west, your average velocity is 50 km/h west.

Answers

and what else? is that all?

A child on a tricycle is moving at a speed of 1.40 m/s at the start of a 2.25 m high and 12.4 m long incline. The total mass is 48.0 kg, air resistance and rolling resistance can be modeled as a constant friction force of 41.0 N, and the speed at the lower end of the incline is 6.50 m/s. Determine the work done (in J) by the child as the tricycle travels down the incline.

Answers

Answer:

The work done by the child as the tricycle travels down the incline is 416.96 J

Explanation:

Given;

initial velocity of the child, [tex]v_i[/tex] = 1.4 m/s

final velocity of the child, [tex]v_f[/tex] = 6.5 m/s

initial height of the inclined plane, h = 2.25 m

length of the inclined plane, L = 12.4 m

total mass, m = 48 kg

frictional force, [tex]f_k[/tex] = 41 N

The work done by the child is calculated as;

[tex]\Delta E_{mech} = W - f_{k} \Delta L\\\\W = \Delta E_{mech} + f_{k} \Delta L\\\\W = (K.E_f - K.E_i) + (P.E_f - P.E_i) + f_{k} \Delta L\\\\W = \frac{1}{2} m(v_f^2 - v_i^2) + mg(h_f - h_i) + f_{k} \Delta L\\\\W = \frac{1}{2} \times 48(6.5^2 - 1.4^2) + 48\times 9.8(0-2.25) + (41\times 12.4)\\\\W = 966.96 \ - \ 1058.4 \ + \ 508.4\\\\W = 416.96 \ J[/tex]

Therefore, the work done by the child as the tricycle travels down the incline is 416.96 J

5. Tests performed on a 16.0 cm strip of the donated aorta reveal that it stretches 3.37 cm when a 1.80 N pull is exerted on it. (a) What is the force constant of this strip of aortal material

Answers

Answer:

53.41 N/m

Explanation:

From Hooke's law,

Applying,

F = ke............. Equation 1

Where F = Force, e = extension, k = force constant of the aortal material

Make k the subject of the equation

k = F/e............. Equation 2

From the question,

Given: F = 1.8 N, e = 3.37 cm = 0.0337 m

Substitute these values into equation 2

k = 1.8/(0.0337)

k = 53.41 N/m

Hence the force constant of the aortal material is 53.41 N/m

Please help I need this done

Answers

The 3rd option if not sorry I think that is the answer

¿cual es la presión que se aplica sobre un líquido encerrado en un tanque, por medio de un pistón que tiene un aria de 0.02 metros cuadrados ya aplica una fuerza con una magnitud de 100 newtons?

Answers

Answer:

Podemos decir que la presión que se aplica sobre un liquido encerrado en un tanque es de 5000 Pa.

Explanation:

Answer:

Podemos decir que la presión que se aplica sobre un liquido encerrado en un tanque es de 5000 Pa.

Explanation:

How many times will the temperature of oxygen with a mass of 1 kg increase if its volume is increased by 4 times, and the pressure is decreased by 2 times?
Round off the answer to the nearest whole number.

Answers

Answer:

9.2 Relating Pressure, Volume,

Figure 1. In 1783, the first (a) hydrogen-filled balloon flight, (b) manned hot air balloon flight, and (c) manned hydrogen-filled balloon flight occurred. When the hydrogen-filled balloon depicted in (a) landed, the frightened villagers of Gonesse reportedly destroyed it with pitchforks and knives. The launch of the latter was reportedly viewed by 400,000 people in Paris.

Explanation:

hope its help :)

nicsfrom #philippines

A(n) 28.3 g bullet is shot into a(n) 5004 g wooden block standing on a frictionless surface. The block, with the bullet in it, acquires a speed of 1.7 m/s. Calculate the speed of the bullet before striking the block. Answer in units of m/s

Answers

Answer:

the speed of the bullet before striking the block is 302.3 m/s.

Explanation:

Given;

mass of the bullet, m₁ = 28.3 g = 0.0283 kg

mass of the wooden block, m₂ = 5004 g = 5.004 kg

initial velocity of the block, u₂ = 0

final velocity of the bullet-wood system, v = 1.7 m/s

let the initial velocity of the bullet before striking the block = u₁

Apply the principle of conservation of linear momentum to determine the initial velocity of the bullet.

m₁u₁  +  m₂u₂  =  v(m₁  +  m₂)

0.0283u₁  + 5.004 x 0   =  1.7(0.0283  +  5.004)

0.0283u₁   =   8.5549

u₁ = 8.5549 / 0.0283

u₁ = 302.3 m/s

Therefore, the speed of the bullet before striking the block is 302.3 m/s.

b) When the muscles connected to the crystalline lens contract fully, its focal length is 16.5000 cm. With this focal length, how far away must an object be to form sharply focused images on the retina? (Note: this distance is called the far point of vision.)
c) When the muscles connected to the crystalline lens relax, the focal length is 9.0000 cm. With this focal length, how close must an object be to form sharply focused images on the retina? (Note: this distance is called the near point of vision.)
d) As people age, the crystalline lens hardens (a condition called presbyopia or “old-age” eyes) and can only vary in focal length from 12 to 15.60 cm. Calculate range of vision (the new near point and far point) for this older eye.
e) Based on part d) why might an older person hold the newspaper at arm’s length to read it?

Answers

Answer:

I have to go to work and figure it out

Transfer of thermal energy between air molecules in closed room is an example of

conduction

convection

radiation


Answer and I will give you brainiliest ​

Answers

Answer: Conduction

Explanation: Conduction is the process by which heat energy is transmitted through collisions between neighboring atoms or molecules. Conduction occurs more readily in solids and liquids, where the particles are closer to together, than in gases, where particles are further apart.

A 4.67-g bullet is moving horizontally with a velocity of +357 m/s, where the sign + indicates that it is moving to the right (see part a of the drawing). The bullet is approaching two blocks resting on a horizontal frictionless surface. Air resistance is negligible. The bullet passes completely through the first block (an inelastic collision) and embeds itself in the second one, as indicated in part b. Note that both blocks are moving after the collision with the bullet. The mass of the first block is 1177 g, and its velocity is +0.681 m/s after the bullet passes through it. The mass of the second block is 1626 g.
(a) What is the velocity of the second block after the bullet imbeds itself?
(b) Find the ratio of the total kinetic energy after the collision to that before the collision.

Answers

Answer:

(a)0.531m/s

(b)0.00169

Explanation:

We are given that

Mass of bullet, m=4.67 g=[tex]4.67\times 10^{-3} kg[/tex]

1 kg =1000 g

Speed of bullet, v=357m/s

Mass of block 1,[tex]m_1=1177g=1.177kg[/tex]

Mass of block 2,[tex]m_2=1626 g=1.626 kg[/tex]

Velocity of block 1,[tex]v_1=0.681m/s[/tex]

(a)

Let velocity of the second block  after the bullet imbeds itself=v2

Using conservation of momentum

Initial momentum=Final momentum

[tex]mv=m_1v_1+(m+m_2)v_2[/tex]

[tex]4.67\times 10^{-3}\times 357+1.177(0)+1.626(0)=1.177\times 0.681+(4.67\times 10^{-3}+1.626)v_2[/tex]

[tex]1.66719=0.801537+1.63067v_2[/tex]

[tex]1.66719-0.801537=1.63067v_2[/tex]

[tex]0.865653=1.63067v_2[/tex]

[tex]v_2=\frac{0.865653}{1.63067}[/tex]

[tex]v_2=0.531m/s[/tex]

Hence, the  velocity of the second block after the bullet imbeds itself=0.531m/s

(b)Initial kinetic energy before collision

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

[tex]k_i=\frac{1}{2}(4.67\times 10^{-3}\times (357)^2)[/tex]

[tex]k_i=297.59 J[/tex]

Final kinetic energy after collision

[tex]K_f=\frac{1}{2}m_1v^2_1+\frac{1}{2}(m+m_2)v^2_2[/tex]

[tex]K_f=\frac{1}{2}(1.177)(0.681)^2+\frac{1}{2}(4.67\times 10^{-3}+1.626)(0.531)^2[/tex]

[tex]K_f=0.5028 J[/tex]

Now, he ratio of the total kinetic energy after the collision to that before the collision

=[tex]\frac{k_f}{k_i}=\frac{0.5028}{297.59}[/tex]

=0.00169

1 airplane
travel due north at 300 km while another airplane travels Due South and 300 km are there speed the same or their velocities the same ​

Answers

Answer:

Explanation:

Speed is scalar and velocity is vector. Vector values imply direction as well as magnitude. Therefore, speed and velocity are not the same. The speeds of these 2 planes are the same at 300km/hr, but the velocity of the plane traveling north is +300km/hr while the velocity of the plane traveling south is -300km/hr if we define north as positive and south as negative.

c) You wish to put a 1000-kg satellite into a circular orbit 300 km above the earth's surface. (a)
What speed, period, and radial acceleration will it have? (b) How much work must be done to the
satellite to put it in orbit? (c) How much additional work would have to be done to make the

Answers

Answer:

Scalar

Explanation:

No direction

Four identical masses m are evenly spaced on a frictionless 1D track. The first mass is sent at speed v toward the other three. As the masses collide they stick together. Mass 1 sticks to 2, then 1 2 sticks to 3, then 1 2 3 sticks to 4. When the combined 1 2 3 mass strikes mass 4, by what percentage does the speed decrease in %

Answers

Answer:

The speed decreases 75%.

Explanation:

Since no friction present, assuming no external forces acting during the three collisions, total momentum must be conserved.For the first collission, only mass 1 is moving before it, so we can write the following equation:

       [tex]p_{i} = p_{f} = m*v_{o} (1)[/tex]

Since both masses are identical, and they stick together after the collision, we can express the final momentum as follows:

       [tex]p_{f1} = 2*m*v_{1} (2)[/tex]

From (1) and (2) we get:v₁ = v₀/2  (3)Since the masses are moving on a frictionless 1D track, the speed of the set of mass 1 and 2 combined together before colliding with mass 3 is just v₁, so the initial momentum prior the second collision (p₁) can be expressed as follows:

       [tex]p_{1} = 2*m*v_{1} = 2*m*\frac{v_{o} }{2} = m*v (4)[/tex]

Since after the collision the three masses stick together, we can express this final momentum (p₂) as follows:

        [tex]p_{2} = 3*m*v_{2} (5)[/tex]

From (4) and (5) we get:v₂ = v₀/3  (6)Since the masses are moving on a frictionless 1D track, the speed of the set of mass 1, 2 and 3 combined together before colliding with mass 4 is just v₂, so the initial momentum prior the third collision (p₂) can be expressed as follows:

      [tex]p_{2} = 3*m*v_{2} = 3*m*\frac{v_{o} }{3} = m*v (7)[/tex]

Since after the collision the four masses stick together, we can express this final momentum (p₃) as follows:

       [tex]p_{3} = 4*m*v_{3} (8)[/tex]

From (7) and (8) we get:v₃ = v₀/4This means that after the last collision, the speed will have been reduced to a 25% of the initial value, so it will have been reduced in a 75% regarding the initial value of v₀.

help asap PLEASE I will give u max everything all that

steps if possible

Answers

Explanation:

2. [tex]R_T = R_1 + R_2 + R_3 = 625\:Ω + 330\:Ω + 1500\:Ω[/tex]

[tex]\:\:\:\:\:\:\:= 2455\:Ω = 2.455\:kΩ[/tex]

3. Resistors in series only need to be added together so

[tex]R_T = 8(140\:Ω) = 1120\:Ω = 1.12\:kΩ[/tex]

An amusement park ride whisks you vertically upward. You travel at a constant speed of 15 m/s during the entire ascent. You drop your phone 4.0 s after you (and your phone) begin your ascent from ground level.
a. How high above the ground is your phone when you drop it?
b. Find the maximum height above the ground reached by your phone.

Answers

Answer:

a. 60 m

b. 71.48 m

Explanation:

Below are the calculations:

a. The phone's height above the ground = Speed x Time

   The phone's height above the ground = 15 x 4 = 60 m

b. Speed when phone drops, u = 15 m/s

At maximum height, v = 0

Use below formula:

v² = u² -2gh

0 = 15² + 2 × 9.8 × h

h = 11.48 m

Total height = 60 + 11.48 = 71.48 m

Its volume is 20 cm3, and its mass is 100 grams. What is the sample’s density?

Answers

Well the density is mass/volume
100/20 = 5
The density is 5
Other Questions
Equipment was purchased for $51,000 on January 1, 2012. Freight charges amounted to $2,100 and there was a cost of $6,000 for building a foundation and installing the equipment. It is estimated that the equipment will have a $9,000 salvage value at the end of its 5-year useful life. What is the amount of accumulated depreciation at December 31, 2013, if the straight-line method of depreciation is used? Group of answer choices $20,040 $10,020 $8,580 $17,160 Andy Tyre manages Tyre's Wheels, Inc. Andy has received an order for 1000 standard wheels and 1200 deluxe wheels for next month, and for 750 standard wheels and 1000 deluxe wheels the following months. He must fill all the orders. The cost of regular time production for standard wheels is $25 and for deluxe wheels, $40. Overtime production costs 50% more. For each of the next two months there are 1000 hours of regular time production and 500 hours of overtime production available. A standard wheel requires .5 hour of production time and a deluxe wheel, .6 hour. The cost of carrying a wheel from one month to the next is $2. a) Define the decision variables and objective function for this problem. b) Write the constraints for this problem. A landscaper is selecting two trees to plant. He has five to choose from. Three of the five are deciduous and two are evergreen.What is the probability that he chooses trees of two different types? Express your answer as a percent.30%40%50%60% Can someone help me with my drama please Jeremy is conducting a survey about his coworkers in-office water consumption to encourage management to install more water dispensers at their location. He found that the population mean is 112.5 ounces with a standard deviation of 37.5. Jeremy has a sample size of 96. Complete the equation that Jeremy can use to find the interval in which he can be 99.7% sure that the sample mean will lie. 37.5 112.5 75 96 150 9.8 Find the area of a circle with radius, r = 6.5m . Give your answer rounded to 2 DP What is the purpose of a paragraph's concluding sentence? Check all that apply.to act as a transition to the next paragraphto introduce the main idea of the next paragraphto state the main idea in different wordsto summarize the ideas of the paper so farto summarize the ideas in the paragraph Which of the following leaders did not try to institute democratic changes into their nation?Alexander DubekWladyslaw GomulkaImre NagyLeonid Brezhnev Gizmo Warm-up Just like students sharing markers, atoms sometimes share or swap electrons. By doing this, atoms form bonds. The Ionic Bonds Gizmo allows you to explore how ionic bonds form. To begin, check that Sodium (Na) and Chlorine (Cl) are selected from the menus at right. Click Play ( ) to see electrons orbiting the nucleus of each atom. (Note: These atom models are simplified and not meant to be realistic.) 1. Each atom consists of a central nucleus and several shells that contain electrons. The outermost electrons are called valence electrons. How many valence electrons does each atom have 2. From the adjoining Venn-diagram, find the cardinal numbers of the following sets. a) n (U) b) n (A) c) n (B) d) n (AUB) e) n ( AB) f) n (AUB) g) n (A) h) n (B) i) n. (A) someone please help Let U be the set of all books, N the set of all novels, and H be the set of all hardcover books. Describe, in words, the following sets: what's the formula of finding an area of a room? Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!! Two loudspeakers are about 10 m apart in the front of a large classroom. If either speaker plays a pure tone at a single frequency of 400 Hz, the loudness seems pretty even as you wander around the room, and gradually decreases in volume as you move farther from the speaker. If both speakers then play the same tone together, what do you hear as you wander around the room?A. The sound is louder but maintains the same relative spatial pattern of gradually decreasing volume as you move away from the speakers.B. The pitch of the sound increases to 800 Hz, and the sound is louder but not twice as loud. It is louder closer to the speakers and gradually decreases as you move away from the speakersexcept near the back wall, where a slight echo makes the sound louder.C. As you move around the room, some areas seem to be dead spots with very little sound, whereas other spots seem to be louder than with only one speaker.D. The sound is twice as loudso loud that you cannot hear any difference as you move around the room.E. At points equidistant from both speakers, the sound is twice as loud. In the rest of the room, the sound is the same as if a single speaker were playing. Give five examples of top level domain Cool Sky reports the following costing data on its product for its first year of operations. During this first year, the company produced 42,000 units and sold 34,000 units at a price of $120 per unit. Manufacturing costs Direct materials per unit $ 48 Direct labor per unit $ 18 Variable overhead per unit $ 6 Fixed overhead for the year $ 420,000 Selling and administrative cost Variable selling and administrative cost per unit $ 12 Fixed selling and administrative cost per year $ 110,0001a. Assume the company uses absorption costing. Determine its product cost per unit.1b. Assume the company uses absorption costing. Prepare its income statement for the year under absorption costing.2a. Assume the company uses variable costing. Determine its product cost per unit.2b. Assume the company uses variable costing. Prepare its income statement for the year under variable costing. Which equation could be represented by the number line?A. 3+ (-4) = -1 B. -3 + 4 = 1C. 1 + (-5) = -4D. -4 + 5 = 1 Which graph has a slope of 4/5? O entendimento das relaes de interdependncia entre os diversos componentes de uma organizao uma das competncias centrais do gestor na atualidade. Ela regularmente conhecida como: