A 70.0 kg skier is at rest at the top of a 120m hill. Assuming friction is negligible.
A) What is the speed of the skiers at the bottom of the hill?

Answers

Answer 1

Answer:

49 m/s

Explanation:

Initial potential energy = final kinetic energy

PE = KE

mgh = ½ mv²

v = √(2gh)

v = √(2 × 10 m/s² × 120 m)

v = 49 m/s


Related Questions

The solubility of barium nitrate is 9.02 g/100 g H2O at 20°C. A 15.2 g sample of barium nitrate is added to 200.0 g of water at 20°C. Is the solution saturated, unsaturated, or supersaturated?

Answers

Answer:

The solution is unsaturated.

Explanation:

Saturated solutions are those solutions with the maximum amount of solute completely dissolved by the solvent. This indicates that although more solute is added, it does not dissolve. In this case the amount of solute is equal to the solubility coefficient.

The supersaturated solution  is one in which the amount of solute exceeds the solubility of the solvent, that is, it has a greater amount of dissolved solute than that which it admits at that temperature. In this case a solution contains solute above the solubility coefficient.

A solution is considered to be unsaturated if the mass of dissolved solute is less than that corresponding to that of saturation. This indicates that it is possible to add more solute and that it dissolves. In this case the solution contains solute below the solubility coefficient.

The solubility of barium nitrate is 9.02 g/100 g H₂O at 20°C.

A 15.2 g sample of barium nitrate is added to 200.0 g of water at 20°C. This is: 15.2 g /200 g H₂O.  Dividing by two you get: 7.6 g /100 g H₂O

Comparing with the solubility of barium nitrate, you can see that the mass of dissolved solute is less than the corresponding one. This indicates that the solution is unsaturated.

Find the net force and acceleration. 15 points. Will give brainliest!

Answers

Answer:

[tex]\boxed{F_{net} = 28.7 \ N}[/tex]

[tex]\boxed{a = 2.1 \ m/s^2}[/tex]

Explanation:

Finding the net force:

Firstly , we'll find force of Friction:

[tex]F_{k} = (micro)_{k}mg[/tex]

Where [tex](micro)_{k}[/tex] is the coefficient of friction and m = 13.6 kg

[tex]F_{k} = (0.16)(13.6)(9.8)\\[/tex]

[tex]F_{k} = 21.32 \ N[/tex]

Now, Finding the net force:

[tex]F_{net} = F - F_{k}\\F_{net} = 50 - 21.32\\[/tex]

[tex]F_{net} = 28.7 \ N[/tex]

Finding Acceleration:

[tex]a = \frac{F_{net}}{m}[/tex]

[tex]a = \frac{28.7}{13.6}[/tex]

[tex]a = 2.1 \ m/s^2[/tex]

The robot HooRU is lost in space, floating around aimlessly, and radiates heat into the depths of the cosmos at the rate of 13.5 W. HooRU's surface area is 1.51 m^2 and the emissivity of its surface is 0.209. Ignore the radiation HooRU absorbs from the cold universe. What is HooRU's temperature?

Answers

Answer:

165.73 K

Explanation:

The computation of HooRU's temperature is shown below:-

As per the stefan's law, the power radiated by black body radiations which is

[tex]P = eA\sigma T^4[/tex]

where  

A indicates surface area

e indicates emissitivity

T indicates temperature

now, we will put the values in the above equation

[tex]13.5 = 0.209 \times 1.51 \times \sigma \times T^4[/tex]

After solving the above equation we will get temperature which results

= 165.73 K

Therefore for computing the HooRU's temperature we simply applied the above formula.

if you rub a balloon on your hair, it becomes charged, and as a result It can stick to your head without being held there. why doesn't it fall on the ground?

Answers

The balloon doesn't fall on the ground. Because the electrical field around your head disrupts Earth's gravitational field. Option A is correct.

What is the electrostatic force, and how does it work?

It is a force imposed by one charge on another as a result of the field. The electrostatic force produced by one line charge on another line charge separated by r is determined by the charge potency of each charge as well as the separation distance between them.

When you brush a balloon against your hair, it charges up and can attach to your head without being kept in place.

Because the electrical field surrounding your head interrupts Earth's gravitational field, it does not fall to the earth.

Hence, option A is correct.

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Bumper car A (331 kg) moving east at 3.87 m/s hit stationary car B (208 kg). After, the car A moves .88 m/s east. What is the velocity of car B?

Answers

Answer:

Ub = 221.99m/s

Explanation:

(Ma x Ua)+(Mb x Ub) = (Ma + Mb)V

(331 x 3.87)+(208 x Ub) = (331 + 208)88

(1257.8) + (208 x Ub) = 47432

(208 x Ub) = 47432 - 1257.8

(208 x Ub) = 46174.2

Ub = 46174.2/208 = 221.99m/s

Ub = 221.99m/s

Answer:

4.75

Explanation:

M1V1 + M2V2 = M1V3 + M2V4

[(331*3.87) , 90°] + 0 = [(331*0.888) , 90°] + M2V4

M2V4 = 987.042 , 90°

divide through by M2

V4 = 4.75 m/s east

Someone help me?

Isaac throws an apple straight up in the positive direction) from 15 m above the ground, reaching a
maximum height of 38 meters. Neglecting air resistance, what is the ball's velocity when it hits the
ground?​

Answers

Answer:

-27.3 m/s

Explanation:

Given:

y₀ = 38 m

y = 0 m

v₀ = 0 m/s

a = -9.8 m/s²

Find: v

v² = v₀² + 2a (y − y₀)

v² = (0 m/s)² + 2 (-9.8 m/s²) (0 m − 38 m)

v = -27.3 m/s

Or, you can solve with energy.

PE = KE

mgh = ½ mv²

v² = 2gh

v = -27.3 m/s

Newton's Law of Gravitation can be used to show that if an object weighs w pounds on the surface of the earth, then its weight at a distance x from the center of the earth is W(x)=wR2x2 (for x≥R), where R=3960 miles is the radius of the earth. Estimate the altitude at which a 120- lb pilot would weigh 119.5 lb

Answers

Answer:In other words, with w = 130, W = 129.5, what is x?

You find this by plugging in the values for w, W and R and solving for x.

Note: x is the distance from the center. You were asked for the distance from the surface (the altitude) so there's one more calculation to do when you find x.

Explanation:

Culture creates the context for behavior in society. true or false

Answers

Answer:

True every culture is diffrent and culture is the way to grow up, the people or things you live around, or the ways of life you follow or dress.

Explanation: The definition of culture is:  means a particular set of customs, morals, codes and traditions from a specific time and place. All of that develops how a person may behave in society.

Answer:

true

Explanation:

just took the quiz

A submarine emerges 1/9 of its volume when it partially floats on the sea surface. For make it completely submerge it is necessary to allow a volume of 50,000 [L] to enter of sea water whose density is 1,026 [g / cm3]. What is the weight of the submarine?

Answers

Answer:

4,524,660 N

Explanation:

Assuming the submarine's density is uniform, 1/9th of the submarine's mass is equal to the mass of the displaced water.

m/9 = (1026 kg/m³) (50 m³)

m = 461,700 kg

mg = 4,524,660 N

SOMEONE HELP ME PLEASE!!!
a. What is the displacement of the car in the graph?
b. What distance has the car travelled? ​

Answers

Answer:

a. 2 m

b. 4 m

Explanation:

a. Assuming d is the position of the car, the displacement is the difference between the final position and the initial position. 3 m - 1 m = 2 m.

b. From t = 0 to t = 2.5, the car moves a distance of 3 m. From t = 2.5 to t = 4, the car moves another 1 m.

So the car moves a total distance of 4 m.

an elastic cord 61 cm long when a weight of 75N hangs from it, but 85cm when a weight of 210N hangs from it. what is the spring constant of the cord

Answers

Answer:

560 N/m

Explanation:

F = kx

75 N = k (0.61 m − L)

210 N = k (0.85 m − L)

Divide the equations:

2.8 = (0.85 − L) / (0.61 − L)

2.8 (0.61 − L) = 0.85 − L

1.708 − 2.8L = 0.85 − L

0.858 = 1.8L

L = 0.477

Plug into either equation and find k.

75 = k (0.61 − 0.477)

k = 562.5

Rounded to two significant figures, k = 560 N/m.

250 mL 0.1 M HCl solution is mixed with 250 mL
0.2 M NaOH. The concentration of OH- in the
mixture is

Answers

Answer:

The concentration of OH⁻ in the mixture is 0.05 M

Explanation:

The reaction of neutralization between HCl and NaOH is the following:

H⁺(aq) + OH⁻(aq) ⇄  H₂O(l)

The number of moles of HCl is:

[tex] n_{HCl} = C*V = 0.1 mol/L*0.250L = 0.025 moles [/tex]

Similarly, the number of moles of NaOH is:

[tex] n_{NaOH} = C*V = 0.2 mol/L*0.250L = 0.05 moles [/tex]

Now, from the reaction of HCl and NaOH we have the following number of moles of NaOH remaining:

[tex] n_{NaOH} = 0.05 moles - 0.025 moles = 0.025 moles [/tex]

Finally, the concentration of OH⁻ in the mixture is:

[tex]C =\frac{n_{NaOH}}{V_{T}}=\frac{0.025 moles}{0.250*2 L} = 0.05 moles/L[/tex]

Therefore, the concentration of OH⁻ in the mixture is 0.05 M.

I hope it helps you!

Average velocity is different than average speed because calculating average velocity involves a)Distance b)Time c)Motion d)Displacemnet

Answers

Answer:

D. Displacement

Explanation:

got it right on edge

Average velocity is different than average speed because calculating average velocity involves Displacement, therefore the correct option is option D.

What is Velocity?

The total displacement covered by any object per unit of time is known as velocity. It depends on the magnitude as well as the direction of the moving object.  It can also be represented by the infinitesimal rate of change of displacement with respect to time. The unit of velocity is meter/second.

The mathematical expression for velocity is given by

velocity= displacement  / time taken

In the displacement time graph the slope of the curve represent the velocity of the object ,the rate of change of velocity is known as the acceleration of the object .

In the velocity time graph the slope of the curve represent the acceleration of the body, The unit of acceleration is metre per second Square

The total distance traveled by an object is different than the total displacement covered by it because the displacement is a vector quantity and it is calculated on the basis of the shortest distance traveled by the body or object.

The main difference between the distance and the displacement is that displacement can be positive or negative or zero but distance can never be negative.

Let’s understand understand with example of average velocity ,suppose an object is moving with 200 m displacement covered in a time of 15 seconds then the average velocity of the object is 13.33 m/s.

Thus, average velocity is different than average speed because calculating average velocity involves Displacement, therefore the correct option is option D.

Learn more about Velocity from here

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Joan makes the device shown in her science class.

An illustration with a battery and ends labeled positive and negative. A wire is connected to the positive end of the battery and curls around an iron nail and connects back with the negative side of the battery.

What would happen to the magnetic field if she connects the battery in the opposite direction?

The field would stop.
The field would get stronger.
The field would reverse its poles.
The field would get weaker.

Answers

Answer:

The field would reverse its poles.

Explanation:

The current flow will reverse directions which will reverse the poles in the magnetic field created around the iron nail.

If she connects the battery in the opposite direction, the magnetic field would reverse its poles.

What is magnetic field?

The magnetic field is the region of space where an object experiences the magnetic force and obtain magnetic properties.

A wire is connected to the positive end of the battery and curls around an iron nail and connects back with the negative side of the battery. This arrangement will let the current flow from the positive end of the battery towards the negative terminal of the battery.

If the battery is connected in the opposite direction, the current will flow from negative to positive terminal.

Therefore, If she connects the battery in the opposite direction, the magnetic field would reverse its poles.

Learn more about magnetic field.

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Ionizing radiation is radiation of sufficient energy to produce charged atoms. All of these describe ionizing radiation. is radiation of sufficient energy to produce ions. is radiation of sufficient energy to remove electrons from atoms.

Answers

Answer:

Is radiation of sufficient energy to produce ions.

Is radiation of sufficient energy to remove electrons from atoms.

Explanation:

Ionization radiation is a radiation that travels at a high speed, and possesses sufficient speed to knock electrons off of an atom or a molecule, ionizing the atom. Ionization radiation can be made of travelling subatomic particles, or an electromagnetic wave with high energy, usually the types found at the end of the electromagnetic spectrum. Some subatomic particles that produce ionization are alpha particle, beta particles, and neutron. The electromagnetic waves with ionization abilities includes Gamma rays. -rays, and high energy ultraviolet rays.

I REALLY NEED HELP WITH PHYSICS!! HELPPP!! I’m giving 50 points :)))

Answers

Answer:

59%

Explanation:

Data obtained from the question include the following:

Input temperature = 495 K

Output temperature = 293 K

Efficiency =?

The efficiency of the car engine can be obtained by multiplying the ratio of the output temperature to the input temperature by 100 as shown below:

Efficiency = output /input x 100

Efficiency = 293/495 x 100

Efficiency = 59.1 ≈ 59%

Therefore, the efficiency of the car engine is approximately 59%

A man has a mass of 110kg. What is his weight?

Answers

His weight depends on where he is, because

Weight = (mass) x (gravity in the place where the mass is) .

For example:

-- If this man is on Mars, his weight is (110 kg) x (3.7 m/s²) =  408 Newtons

-- If he is on the Moon, his weight is (110 kg) x (1.6 m/s²) =  176 Newtons

-- If he is on Earth, his weight is (110 kg) x (9.8 m/s²) =  1,078 Newtons

-- If he is in a spacecraft coasting from one to another, his weight is zero.

a physical quantity Z is given by z=ad/g .calculte the relatibe error in z​

Answers

Answer:

e_{r} = Δa /a + Δd /Δ d + Δg / g

Explanation:

The error or uncertainty of a quantity is given by several factors, the most direct error is the absolute one that is given by the appreciation of the instruments, when some quantities obtained by a mathematical formula we must know how each error is programmed in the total error, we can see this with the relative error

     

the calculated quantity is Z

its relative error is

            [tex]e_{r}[/tex] = ΔZ/Z = 1/Z  (dZ /da Δa + dZ /dd Δd + dZ /dg Δg)

            e_{r} = 1 / Z (d /g  Δa + a /g  Δd + ad !1/g²! Δg)

            e_{r} = Δa /a + Δd /Δ d + Δg / g

notice that we take the worst case.

The measured quantities have absolute errors Da, Dd, Dg

When you urinate, you increase pressure in your bladder to produce the flow. For an elephant, gravity does the work. An elephant urinates at a remarkable rate of 0.0060 m3 (a bit over a gallon and a half) per second. Assume that the urine exits 1.0 m below the bladder and passes through the urethra, which we can model as a tube of diameter 8.0 cm and length 1.2 m. Assume that urine has the same density as water, and that viscosity can be ignored for this flow.
1) What is the speed of the flow? It is 1.2 m/s
2) If we assume that the liquid is at rest in the bladder (a reasonable assumption) and that the pressure where the urine exits is equal to atmospheric pressure, what does Bernoulli's equation give for the pressure in the bladder? (In fact, the pressure is higher than this; other factors are at work. But you can see that no increase in bladder pressure is needed!)

Answers

Answer:

1)  v = 1.19 m / s , 2)     P₁ = 9.308 10⁴ Pa  

Explanation:

In this exercise we will simulate the emission of urine as a fluid mechanics system

1) they indicate the urine flow rate Q = 0.0060 m³ / s, they also give the diameter of the tube 8.0 cm, they ask us the speed.

   Let's use the continuity equation

            Q = v A

The area of ​​a cycling tube is

            A = π r² = π d² / 4

we substitute

            Q = v π d² / 4

            v = 4Q / π d²

let's calculate

            v = 4 0.006 / (π 0.08²)

            v = 1.19 m / s

2) they ask to find the pressure in the bladder, for this we use the Bernoulli equation, where the index is for the bladder and the index 2 is for the exit point

            P₁ + ½ ρ v₁² + ρ g y₁ = P₂ + ½ ρ v₂² + ρ g y₂

in the exercise it indicates that the outlet pressure is equal to the atmospheric pressure P₂ = 1,013 10⁵ Pa, the velocity of the liquid in the bladder is v₁ = 0 and the height difference 1.0 m

           P₁ = P₂ + ½ ρ v₂² + ρ g (y₂-y₁)

let's calculate

          P₁ = 1.013₁ 10⁵⁵ + ½ 1000 1.19 + 1000 9.8 (0-1)

          P₁ = 1.013 105 + 595 - 9800

          P₁ = 9.308 10⁴ Pa

a body weights 28N at a height of 3200km from the earth surface.What will be the gravitational force on that body if its lies on the earth surface.

Answers

Answer:

The object would weight 63 N on the Earth surface

Explanation:

We can use the general expression for the gravitational force between two objects to solve this problem, considering that in both cases, the mass of the Earth is the same. Notice as well that we know the gravitational force (weight) of the object at 3200 km from the Earth surface, which is (3200 + 6400 = 9600 km) from the center of the Earth:

[tex]F_G=G\,\frac{M_E\,m}{d^2} \\28\,\,N=G\,\frac{M_E\,m}{9600000^2}[/tex]

Now, if the body is on the surface of the Earth, its weight (w) would be:

[tex]F_G=G\,\frac{M_E\,m}{d^2} \\w=G\,\frac{M_E\,m}{6400000^2}[/tex]

Now we can divide term by term the two equations above, to cancel out common factors and end up with a simple proportion:

[tex]\frac{w}{28} =\frac{9600000^2}{6400000^2} \\\frac{w}{28} =\frac{9}{4} \\\\ \\w=\frac{9\,*\,28}{4}\,\,\,N\\w=63\,\,N \\[/tex]

Calculating heat gained, need help!!!

Q=(m)(c)(triangle T)

trial 1:

Q=(0.4)(4.186 J/kg)(78)=?

trial 2:

Q=(0.6)(4.186 J/kg)(78)=?

trial 3:

Q=(0.45)(4.186 J/kg)(75)=?

Answers

Explanation:

q = mCΔT

where m is mass,

C is specific heat capacity,

and ΔT is change in temperature.

Make sure all your units match.  Assuming the substance is water, C = 4186 J/kg/°C.

Trial 1:

q = (0.4 kg) (4186 J/kg/°C) (78°C)

q = 130,600 J

Trial 2:

q = (0.6 kg) (4186 J/kg/°C) (78°C)

q = 195,900 J

Trial 3:

q = (0.45 kg) (4186 J/kg/°C) (75°C)

q = 141,300 J

a man with mass 81 kg lies on the floor. what is the normal force on the man?

Answers

Answer:

Forces come in pairs, so the force of gravity (9.8 N) with the mans weight (794N) on the earth is counteracted with the normal force ( the force of the earth back on the man) which is the same

Explanation:

Forces are available in pairs, so the force of gravity (nine.8 N) with the man's weight (794N) on the planet is counteracted with the everyday force ( the pressure of the earth again on the man) that's identical.

What is the gravitational force?

Gravitational force is a pressure that draws any items with mass. We name the gravitational force appealing as it constantly attempts to tug loads collectively, it never pushes them apart. In reality, every item, together with you, is pulling on each other objects inside the complete universe.

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Which of the following would cause the force of static friction to increase?

Answers

Answer:

Answer B)  An increase in [tex]\mu_S[/tex]

Explanation:

Since we are talking about the force of static friction, due to its definition as the product between the normal force to the surface times the coefficient of static friction, the only two ways such force could increase is due to an increase in the normal force, or an increase in the coefficient of static friction [tex]\mu_S[/tex].

So the only valid answer is answer B)

A 1,383 kg purple car is driving southbound on a road and collides with a 1,827 kg orange car, that was traveling 31.87 m/s eastbound. The two cars collide and stick, sliding 14.54 meters before coming to rest. What was the initial velocity of the two-car system just after the collision? Take the coefficient of friction to be 0.463, and the acceleration due to gravity to be 9.8 m/s2. Answer to two decimal places.

Answers

Answer:

Explanation:

We shall apply work energy theorem to calculate the initial velocity just after the collision .

Their kinetic energy will be equal to work done by friction .

force of friction = μ mg , where μ is coefficient of friction , m is total mass and g is acceleration due to gravity

force = .463 x 3210 x 9.8

= 14565.05 N

work done = force x displacement

= 14565.05 x 14.54 = 211775.88 J

now applying work energy theorem

1/2 m v² = 211775.88 , m is composite mass , v is velocity just after the collision

.5 x 3210 x v² = 211775.88

v² = 131.94

v  11.48 m /s

What is the magnetic force on a particle that has 0.000500 C of charge and is moving at
2.50 10m/s to the right through a magnetic field that is 4.20 T and pointing away from
you? Specify both magnitude and direction in your answer.

Answers

Answer:

1.) F = 5.3×10^-3 N

2.) Positive y - direction

Explanation:

The parameters given are:

Charge q = 0.0005C

Velocity V = 2.5010 m/s

Magnetic field B = 4.2 T

Magnetic force F = BVqsinØ

F = BVq

since Ø = 90 degree

Substitute all the parameters into the formula

F = 4.2 × 2.5010 × 0.0005

Therefore, the magnetic force on a particle is F = 5.3 × 10^-3 N

2.) According to Fleming's left hand rule, the direction of the magnetic force will be perpendicular to the magnetic field which moving upward of the screen.

Answer:

it’s f=0.0005 x 2.5 x 10^5 x 4.20

F= 525 N

+ y direction (up)

Explanation:

got it right

The three-dimensional arrangement of electron groups around the central atom is called ____.

A. Election-pair repulsion
B. Electronegativity
C. Geometric design
D. Electron-group geometry

Answers

Answer:

D. Electron - group geometry

Explanation:

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Which of the following is a device that uses an inclined plane?
Check all that apply.
A. knife
B. wheelchair ramp
C. bicycle
D. half-pipe at a skate park​

Answers

Answer:

A and B

Explanation:

Answer:

B. wheelchair ramp

D. half-pipe at a skate park

Hope that helps!

in a cricket match there are 5000 spectators counted 10 by 10 the number of significant figure in the measurement will be

Answers

Answer:

[tex]\boxed{3 \ Significant \ figures}[/tex]

Explanation:

Total spectators = 5000

Counted by the groups of ten, So at last the result will be:

=> 5000/10 = 500

Significant figures in 500 are 3

A series combination of 12 Ω and 3 Ω is connected in parallel with another series combination of 6 Ω and 3 Ω. If a potential difference of 4 V is applied across it find the i) current drawn from the battery ii) current through 12 Ω resistor (iii)potential difference across 6 Ω resistor?

Answers

Answer:

Explanation:

Resultant of 12 and 3 ohm in series = 15 ohm

Resultant of 6 and 3 ohm = 9 ohm

Total resultant resistance of circuit = 15 x 9 / (15 + 9)

= 5.625 ohm

current drawn from battery = 4 / 5.625

= .711 A

ii )current through 12 ohm = 4 / (12 + 3 )   , because potential  diff over 12 and 6 ohm will be 4 V .

current through 12 ohm = .267 A

iii )

current through 6 ohm

= .711 - .267

= .444 A

potential difference

= .444 x 6

= 2.664 V .

A car travels 18 km / h to the northwest. What is the speed of this car seen from another car going south at 60 km / h?

Answers

Answer:

73.8 km/h

Explanation:

The velocity of object A relative to object B is:

v = va − vb

Let's say east is +x and north is +y, and angles are measured from +x.

The velocity of the first car in the x direction is:

18 km/h cos 135° = -9√2 km/h

The velocity of the first car in the y direction is:

18 km/h sin 135° = 9√2 km/h

The velocity of the second car in the x direction is:

60 km/h cos 270° = 0 km/h

The velocity of the second car in the y direction is:

60 km/h sin 270° = -60 km/h

The relative velocity in the x direction is:

vₓ = -9√2 km/h − 0 km/h = -9√2 km/h ≈ -12.7 km/h

The relative velocity in the y direction is:

vᵧ = 9√2 km/h − (-60 km/h) = 9√2+60 km/h ≈ 72.7 km/h

The speed, or magnitude of the velocity, is:

v = √(vₓ² + vᵧ²)

v = √((-12.7 km/h)² + (72.7 km/h)²)

v ≈ 73.8 km/h

Other Questions
SOMEBODY!!! HEELLLLLLP if you can help me with one question that's fine! Which of the following would be an effective approach for encouraging authentic feedback? A. Defend yourself if you disagree with criticisms you receive. B. In the beginning, ask for feedback each time you see the person. C. Ask for feedback only when you are open to hearing it. D. only in formal situations, so employees understand the importance of the feedback. Is it unlawful to bypass justice court where felony cases are heard and , go directly to district court ? PLS HELP --- what are 3 decisions Jem takes in To kill a mocking bird between chapters 1-11? Rita Gonzales won the $53 million lottery. She is to receive $2.2 million a year for the next 20 years plus an additional lump sum payment of $9 million after 20 years. The discount rate is 12 percent. What is the current value of her winnings You are having a small party and the Pizza driver dropsoff 5 Pizza's. They are all cut into eighths. You alsohave 3 slices left over in your fridge from the nightbefore. Write how much pizza you have as animproper fraction(Remember that an improperfraction has the numerator larger than thedenominator) NEED HELP!!!!!!WILL GIVE BRAINLYIEST!!!!!Read and then choose the option that best answers the question. What formal command would you use with your boss for the verb estornudar? Estornuda Estornude Estornuden Estornudes Based on what you learned about the main elementsin living things, which element do you think forms themain structureof organic molecules?A. Oxygen, because it is the element present inhighest amount in living thingsB. Carbon, because it readily forms long chains andrings Y+15 displacement reaction with example grade 10 Put the steps of storm formation in the correct order.Ice and water droplets fallThe Sun heats theWater vapor condensesWater droplets freeze.Warm air rises into theto the surfacesurfaceupper atmosphere. After reading the paragraph below, answer the question that follows In the North Pacific Ocean, two groups of the same species of killer whales (Orcinus orca) appear to be forming two different species based on what they eat. One group eats fish and the other eats mammals such as seals. Another difference between the two groups is in how they hunt. Whales that hunt fish tend to travel in large pods (groups of whales) and vocalize often. Whales that hunt seals, however, tend to travel in very small groups and vocalize very little. If these hunting differences brought about speciation, the separation would be considered:____________ Find the sum. Express your answer in simplestform. A 2.0-cm length of wire centered on the origin carries a 20-A current directed in the positive y direction. Determine the magnetic field at the point x can someone please help me? Lengths of pregnancies (in humans) have a mean of 267.6 days and a standard deviation of 15.4 days. A woman tracked her pregnancy and found it to be 309 days. Find the z score for 309 days. Is such a length unusual? QUESTION 4 (10 MARKS)A retired couple requires an annual return of $2,000 from investment of $20,000. There are 3options available:(A) Treasury Bills yielding 9%;(B) Corporate bonds 11%;Junk Bonds. 130%How much should be invested in each to achieve their goal? Give 3 sets of options that canachieve their goal.[10 Marks] Jada and jack are each working during the summer to earn money in addition to their weekly allowance, and they are saving all their money. Jada earns $9 an hour at her job and her allowance is $8 per week. And Jack earns $7.50 an hour and his allowance is $16 per week. How many hours do Jada and Jack need to work in order to save the same amount of money in one week? ordered pair for this point? Hydrazine, N2H4 , reacts with oxygen to form nitrogen gas and water. N2H4(aq)+O2(g)N2(g)+2H2O(l) If 2.45 g of N2H4 reacts with excess oxygen and produces 0.450 L of N2 , at 295 K and 1.00 atm, what is the percent yield of the reaction?