How many (whole) dark fringes will be produced on an infinitely large screen if green light (λ = 545 nm) is incident on two slits that are 15.0 μm apart? (The 3% margin of error does not apply for this question.)

Answers

Answer 1

Distance between adjacent dark fringes is 36.3 mm. This means that if the screen is large enough, many dark fringes will be observed

What is dark fringes?

In physics, dark fringes refer to the regions of constructive interference that occur when light waves interfere destructively

As n = (Dλ) / d

n is number of dark fringes, D is distance between the slits and screen, λ is wavelength of the light, and d is distance between the two slits.

n = (Dλ) / d

n = [(∞)(545 nm)] / (15.0 μm)

n = ∞

As y = (λD) / d

y is the distance between adjacent dark fringes.

So, y = (545 nm)(1 m) / (15.0 μm)

y = 36.3 mm

Therefore, the distance between adjacent dark fringes is 36.3 mm.

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Related Questions

The force pulling the moon toward Earth depends on the mass of the two bodies and which factor?.

Answers

The force of gravity depends directly upon the masses of the two objects, and inversely on the square of the distance between them. This means that the force of gravity increases with mass, but decreases with increasing distance between objects.

A 740 kg car traveling 19 m/s comes to a complete stop in 2.0 s. What is the force exerted on the car during this stop?

Answers

Answer:

Force exerted on the car is 7030 N.

Explanation:

It is given that,

Mass of the car, m = 740 kg

Initial speed of the car, u = 19 m/s

Final speed of the car, v = 0

Time taken, t = 2 s

Let F is the force exerted on the car during this stop. We know that it is equal to the product of force and acceleration. Mathematically, it is given as :

F=m\times \dfrac{v-u}{t}F=m×tv−u

F=740\times \dfrac{0-19}{2}F=740×20−19

F = -7030 N

So, the force exerted on the car during this stop is 7030 N. Hence, this is the required solution.

Wavelength, frequency, and energy are related. What happens to a wave as its
wavelength gets shorter?

A. Its frequency and energy increase
B. Its frequency and energy decrease
C. Its frequency increases, while its energy decreases
D. Its frequency decreases, while its energy increases.

Answers

Answer:

D

Explanation:

As the wavelength of a wave gets shorter, its frequency increases, while its energy increases. This relationship is described by the equation E = hf, where E is the energy, h is Planck's constant and f is the frequency of the wave.

Calculate the total cut time to drill a bolt hole pattern with 30 holes into 6061-T6 aluminum. Neglect the hole-to-hole travel time of the drill. Show your work. (5 points) Drill: 12 mm diameter Tool: Coated Carbide Depth of hole: 25.4 mm Surface speed: 75 m/min Speed: 2000 rpm Feed: 0.30 mm/rev Total cut time:

Answers

The total cut time for drilling 30 bolt holes is 76.2 seconds.

To calculate the total cut time to drill a bolt-hole pattern with 30 holes into 6061-T6 aluminum, we need to consider the depth of the hole, the speed, and the feed. Here's the step-by-step explanation:

1. Depth of hole: 25.4 mm
2. Speed: 2000 rpm (revolutions per minute)
3. Feed: 0.30 mm/rev (millimeters per revolution)

Now, to calculate the cut time for a single hole:

Cut Time (per hole) = Depth of hole / (Speed × Feed)

Cut Time (per hole) = 25.4 mm / (2000 rpm × 0.30 mm/rev)

Next, we need to convert the units to have a consistent measure:

1 minute = 60 seconds, so 2000 rpm = 2000/60 rev/sec

Now, substitute the values:

Cut Time (per hole) = 25.4 mm / ((2000/60) rev/sec × 0.30 mm/rev)

Simplify the expression:

Cut Time (per hole) = 25.4 mm / (33.33 rev/sec × 0.30 mm/rev)

Cut Time (per hole) = 25.4 mm / 10 mm/sec

Cut Time (per hole) = 2.54 seconds

Now, to calculate the total cut time for 30 holes:

Total Cut Time = Cut Time (per hole) × Number of holes
Total Cut Time = 2.54 seconds/hole × 30 holes

Total Cut Time = 76.2 seconds
So, the total cut time to drill a bolt-hole pattern with 30 holes into 6061-T6 aluminum is 76.2 seconds.

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HELP PLEASE 20 ;OINTS

HELP PLEASE 20 ;OINTS

Answers

I’m pretty sure it’s C.



7) Your Grandma is following behind you on the trip to Dallas, but she refuses to drive
faster than 60 miles per hour. If she drives at that speed for the entire trip, how much
later will she arrive in Dallas

Answers

Answer:

Grandma will arive \(\frac{1}{2}\)hr later

Explanation:

\(s=20\\d=210 mi|\\ s=70 mi|h \\ \\ \frac{60}{1} =\frac{210}{+} = 3.5 hrs\)

First come first serve, solve it properly and get points.

First come first serve, solve it properly and get points.

Answers

Explanation:

Solubility is the ability to dissolve within a solvent to form a mixture called a solution

If a substance is soluble, it dissolves in water
If a substance is insoluble in water -  it does not dissolve
Boling point - the temperature at which a substance in its liquid state
converts into the same substance in its gas state.
Water boils at 100 degree centigrade.
Melting point - the temperature at which a substance in its solid state
converts into the same substance in a liquid state.
Ice melts at 0 degree centigrade.
Water freezes at 0 degree centigrade.
How much matter (mass) is packed into a specific space (volume).

Answer:La verdad no tengo conocimiento alguno pero solo te puedo decir que las opciones que te dan en la hoja te pueden ayudar

Explanation:

know the different types of communication and describe each​

Answers

Answer:1.  verbal communication, which you listen to a person to understand what they are saying 2. written communication, you read what a person is trying to say 3. nonverbal communication, which you observe what someone is trying to say, like sign language.

Explanation:

compared to an object that does not roll, but instead slides without friction, should a rolling object be released from the same,a greater, or a lesser height in order just barely to complete the loop the loop?

Answers

Answer:

from a lesser hight

Explanation:

because you need less force

hope its right if it is mark brainlyest ;)

improvisation this practice focuses on sensing a partner while having a body dialogue

Answers

Contact improvisation stems from the idea that each body is unique.

Body contact improvisation

Body contact improvisation is a form of dance which incorporates elements from sporting movement and gymnastics, martial arts, and modern theatre practices.

Contact improvisation

Contact Improvisation liberate the dancer from the concern of the outward appearance of movement. Instead of giving importance to it’s outside visual aspect, this practice focuses in sensing a partner while having a body dialogue with her/him.

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The students tested each solution. They started each test with a bowl with one cup of water and 30 grams of oil on top. They recorded the mass of each bowl with water and oil before and after each test. They also described the results of each test. Solution Mass of Bowl Before Mass of Bowl After Description Scooping the oil with a spoon 212 g 196 g The spoon easily picked up a lot of the oil at first. As the amount of oil decreased, it got too hard to pick up the oil. Trying to remove more oil spread it around the bowl. Absorbing the oil with a paper towel 214 g 160 g The paper towel absorbed the oil really well at first. As the amount of oil decreased, the paper towel started to pick up a lot of water. The paper towel couldn't get all of the oil. Using soap to break up the oil 210 g 216 g Adding the soap rapidly cleared the oil from the top of the water. It went to the sides of the bowl. With mixing, the oil all broke up as the water got sudsy. Question After reading the results of each test, identify an advantage and a disadvantage of each solution. Drag each result to the correct location on the table. Each result can be used more than once, but not all results will be used. removes clean water with oildisperses oil on surfaceremoves all oil from the waterspreads oil around surfaceleaves all oil in the waterremoves some oil from water

Answers

Each solution tested has its advantages and disadvantages. The most effective solution depends on the situation and the amount of oil that needs to be removed from the water.

The three solutions tested to remove oil from water are scooping the oil with a spoon, absorbing the oil with a paper towel, and using soap to break up the oil. Each solution has its advantages and disadvantages. Scooping the oil with a spoon is an effective solution to remove a significant amount of oil quickly. However, it is not a practical solution for removing a large amount of oil. The disadvantage is that it spreads the oil around the surface of the water and leaves some oil in the water. Absorbing the oil with a paper towel can effectively remove a lot of oil. The advantage is that it removes some oil from the water, leaving it relatively clean. However, it also picks up a lot of water and can't get all of the oil. Using soap to break up the oil is a good solution that removes all of the oil from the water. The advantage is that it removes all of the oil from the water, leaving it clean. However, the disadvantage is that it disperses the oil on the surface of the water, making it harder to remove from the sides of the bowl. In conclusion, each solution tested has its advantages and disadvantages. The most effective solution depends on the situation and the amount of oil that needs to be removed from the water.

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How long must a tow truck apply a force of 550 N to increase the speed of a 1,200 kg car at
rest to 2 m/s?

Answers

Answer:

F=m[vf-vi]/t

t=m[vf-vi]/F

t=[1200][2]/[550]

t=4.36s

Explanation:

A tow truck will take 4.36 s.

Given:

Force, F= 550N

Mass, m= 1200kg

Final Velocity vf= 2 m/s

Initial Velocity vi= 0 m/s

A force can cause an object with mass to change its velocity (e.g. moving from a state of rest), i.e., to accelerate.

\(F= m*a\)...............(i)

and \(a=\frac{[v_f-v_i]}{t}\)...............(ii)

So, on substituting (ii) in (i)

\(F=\frac{m[v_f-v_i]}{t} \\\\t= \frac{m[v_f-v_i]}{F}\\\\t= \frac{[1200][2-0]}{[550]} \\\\t=4.36s\)

Thus, time taken is 4.36 s.

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C) explain why David's average speed is less than his top speed.​

Answers

Answer:

Explanation:

His top speed is a blip that occurs for less than the full time he was out. Below is a graph showing what he did from 1 o'clock to 9. He was walking from 1 to the point where starts walking faster and then back down again to 2. The line at 2 is longer than the triangular shape that shows where he speeded up. Then he went back down to 2 and continued at that speed until 9.

Obviously he spent more time at 2 than he did at 4 and therefore his average speed will less than the 4 speed.

Remember that average speed = total distance / total time.

C) explain why David's average speed is less than his top speed.

the g string on a guitar is a 0.44-mm-diameter steel string with a linear density of 1.1 g/m . when the string is properly tuned to 196 hz, the wave speed on the string is 250 m/s. tuning is done by turning the tuning screw, which slowly tightens-and stretches-the string.

Answers

The g - string will stretch by 0.0016 mm.

We have a g - string of a guitar with given specifications.

We have to determine how many mm does a 75-cm-long g - string stretch when it’s first tuned.

According to the question -

The force of tension in the string -

\($v = \sqrt{\frac{T}{\mu} }\)

T = \($v^{2} \mu\) = 250 x 250 x 0.0011 = 68.75 N

The Yung modulus of steel = 2 x \(10^{11}\) N/\(m^{2}\)

the amount by which the g - string will be stretched is given by -

\($\delta L = \frac{LT}{Y(\pi r^{2})}\)

Substituting the values -

\($\delta L = \frac{0.75\times 68.75 }{(2\times 10^{11} )\times (\pi (2.2 \times 10^{-4}\times 2.2\times 10^{-4}) )}\)

\(\delta L=\) 0.0016mm

Hence, the g - string will stretch by 0.0016 mm.

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[ The given question is incomplete. The complete question is

" The G string on a guitar is a 0.46-mm-diameter steel string

with a linear density of 1.1 g/m. When the string is properly

tuned to 196 Hz, the wave speed on the string is 250 m/s. Tuning

is done by turning the tuning screw, which slowly tightens—and

stretches—the string. By how many mm does a 75-cm-long G

string stretch when it’s first tuned? "]

if you keep adding more, from which side would you first begin to see sparks jumping? left, right, or are they the same?

Answers

The sparks that could jump from an electrical circuit depend on the direction of the current. If the current is directed from left to right, then the sparks would first be seen on the left side.

This is because the electrons in the current flow from the negative terminal of the power source to the positive terminal. As the electrons flow along the circuit, they create a spark at the point where the electrons encounter a break in the circuit.

The sparks would continue to jump from the left side as long as the current is flowing in that direction. On the other hand, if the current is flowing right to left, then the sparks would first be seen on the right side. This is because the electrons are flowing from the positive terminal of the power source to the negative terminal. The sparks would then continue to jump from the right side until the current is turned off.

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find a symbolic expression for the moment of inertia of the pulley in terms of the tensions t1 and t2, the pulley radius r, and the acceleration a. (do not substitute numerical values; use variables only.)

Answers

The symbolic expression for the moment of inertia of the pulley in terms of the tensions t₁ and t₂, the pulley radius r, and the acceleration a is:

I = (1/2)(t₁ + t₂)r² / a

The moment of inertia (I) of a pulley is a measure of its resistance to rotational motion. It depends on various factors, including the tensions (t₁ and t₂) in the ropes or cables wrapped around the pulley, the radius (r) of the pulley, and the acceleration (a) of the system.

In this expression, the moment of inertia (I) is calculated as half of the sum of tensions (t₁ + t₂) multiplied by the square of the pulley radius (r²), divided by the acceleration (a). This is based on the assumption that the pulley is rotating about its central axis, and the tensions in the ropes are causing the pulley to accelerate.

The factor of 1/2 arises from the geometry of a pulley, as it distributes tension on both sides of the pulley. Note that this expression assumes idealized conditions, such as a massless and frictionless pulley, and neglects other factors such as the mass of the pulley itself.

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Fill in the blank with the appropriate term.

A change in speed, direction, or both is called __________.
Acceleration is a(n) __________ because it includes both size and direction.
A decrease in speed is called __________.
To calculate acceleration without a change in direction, you divide the change in velocity by the change in __________.
Acceleration is represented by the __________ of a velocity-time graph.
If the line of a velocity-time graph is horizontal, acceleration is __________.
If a car is increasing in speed, its acceleration is __________.

Answers

Answer:

See below

Explanation:

Filling in the definitions:

acceleration

vector quantity

deceleration

time

slope

zero

positive

What is one situation when experiencing static electricity?

Answers

Answer:

getting shocked

Explanation:

i didnt really get the answer really much but i hope this helps

Answer:

Hair standing up

Explanation:

When there is a lot of static electricity, your hair stands up.

A cold, dry air mass collides with a warm, humid air mass over the land. The warm air mass is forced upward quickly. As the air rises, it cools and condenses. What type of weather phenomena is forming?
A. a hurricane
B. a tsunami
C. a thunderstorm
D. a flood

Answers

Answer: Thunderstorm.

Explanation: When a cold, dry air mass collides with a warm, humid air mass over the land, that's a tornado, but on top of that the air rises and it cools and condenses that's a thunderstorm

When a cold, dry air mass collides with a warm, humid air mass over the land, that's a tornado, but on top of that the air rises and it cools and condenses that's a thunderstorm.

What is Thunderstrom?

A thunderstorm, sometimes referred to as an electrical storm or a lightning storm, is a type of storm that is distinguished by the presence of lightning and the thunder that results from the lightning's acoustic effect on the Earth's atmosphere.  

Thundershowers are the name for relatively weak thunderstorms. A cumulonimbus is a form of cloud where thunderstorms develop.  They frequently produce heavy rain.  and occasionally snow, sleet, or hail and they are typically accompanied by strong wind.

However, some thunderstorms result in little or no precipitation. A squall line, often known as a succession of thunderstorms, can form or become a rainband.

Therefore, When a cold, dry air mass collides with a warm, humid air mass over the land, that's a tornado, but on top of that the air rises and it cools and condenses that's a thunderstorm.

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an unstretched spring has a length of .10 meters. when the spring is stretched by a force of 16n its length is increased to .18 meters. what is the spring constant of this spring?

Answers

The spring constant is 2 N/m. The result is obtained by using the Hooke's Law formula.

What is Hooke's Law formula?

The Hooke's Law states that the restoring force of a spring equals the spring constant times the change in length. It can be expressed as

F = -kΔx

Where

F = the restoring forcek = the spring constantΔx = the change in length

Note: the minus sign indicates that F is in the opposite direction to the displacement of a free end.

Given the length of a spring is 10 m. When it is stretched by a force of 16 N, the length is increased to 18 m. What is the spring constant?

From that information, we get the change in length.

Δx = 18 m - 10 m

Δx = 8 m

The spring constant is

F = -kΔx

16 = -k . 8

k = - (16/8)

k = 2 N/m

Hence, the spring constant is 2 N/m.

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Boat Engine An engine moves a boat through the water at a constant speed of 15 m/s. The engine must exert a force of 6.0 kN to balance the force that the water exerts against the hull. What power does the engine develop

Answers

An engine moves a boat through the water at a constant speed of 15 m/s. The engine must exert a force of 6.0 kN to balance the force that the water exerts against the hull. Power is the measure of how fast work can be done. The unit of power is watts (W), which can be defined as the amount of work done in one second.

Power is usually calculated as the product of the amount of work done and the time it takes to do it. Power can also be defined as the rate at which work is done.First, we need to calculate the work done by the engine. Work = Force x distance . Since the boat moves at a constant speed of 15 m/s, we can use the following formula to calculate the distance traveled by the boat:Distance = Speed x TimeTherefore, distance = 15 m/s x 1 s = 15 m Now we can calculate the work done by the engine:Work = Force x Distance = 6.0 kN x 15 m = 90 kJNow that we know the amount of work done by the engine, we can use the formula for power:Power = Work/Time Since we don't know the time it took the engine to do the work, we can't calculate power directly. However, we can make some assumptions and estimate the time it took the engine to do the work. For example, if we assume that the engine did the work in one minute, then the time is 60 seconds:Power = Work/Time = 90 kJ/60 s = 1.5 kWTherefore, the power developed by the boat engine is 1.5 kW.

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in 5 seconds a carnival ride having a radius of 12 meters travels 180 degrees what is the distance in meters traveled

Answers

Based on the data provided, the distance travelled is 37.68 m.

What is the distance travelled in meters?

First we calculate the angular velocity:

angular velocity = angle turned/ time taken

angle turned = 180 degrees = πradians

angular velocity =  πradians/5

angular velocity = 0.628 rad/s

Linear speed = radius * angular velocity

Linear speed = 12 * 0.628

Linear speed = 7.536 m/s

Then:

Distance travelled = linear speed * time

Distance travelled = 7.536 * 5

Distance travelled = 37.68 m

Therefore, the distance travelled is 37.68 m.

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If m=120kg and a=15m/s2, what is the force

Answers

Answer:

F= 1800N

Explanation:

the equation for force is F= ma

so plug in the numbers: F= (120)(15)

solve this to get F= 1800N

tip: don't forget to add the units when writing your answer :)

El tiempo de reacción de un conductor de automóvil es 0,75s. Si el automóvil puede experimentar una desaceleracion de 4m/s^2. Calcular la distancia recorrida hasta detenerse una vez recibida la señal, cuando su velocidad era 10m/s

Answers

Answer:

x_total = 20m

Explanation:

This is an exercise in kinematics, we will look for the distance it travels during the reaction time, where there is no braking, and then the distance during the deceleration.

Distance traveled during response time

           v = x₁ / t

           x₁ = v t

let's calculate

          x₁ = 10 0.75

          x₁ = 7.5 m

Now we calculate the distance during braking, the final speed is zero (v = 0)

         v² = v₀² - 2 a x₂

         x₂ = v₀² / 2 a

let's calculate

         x₂ = 10² / (2 4)

         x₂ = 12.5m

the total stopping distance is

        x_total = x₁ + x₂

        X_total = 7.5 + 12.5

        x_total = 20m

an em wave in free space has frequency 7.24×1014hz. (true or false)

Answers

The statement "Electromagnetic waves in free space has frequency 7.24 × 10¹⁴ Hz" is true.

Electric and magnetic fields oscillate while traveling over space to form an electromagnetic wave. The number of oscillations or cycles that take place within a certain period of time is represented by an electromagnetic wave's frequency. In this instance, a frequency of 7.24 × 10¹⁴ Hz indicates that the wave cycles 7.24 × 10¹⁴ times in a second.

Electromagnetic waves can move freely in empty space without interference from other objects or media. Because of this characteristic of free space, electromagnetic waves can move at the same speed as light or about 3 × 10⁸ meters per second.

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particles in a gas ____ and move___at high speeds

Answers

Answer:

gas vibrates and moves freely at high speeds.

Explanation:

Hope this helps


vibrates
carefully

hope this helps.

A group of students conduct an experiment with a block of wood sliding down an incline. They find that the final energy of the block is less than the initial energy of the block. Which statement best describes this situation?(1 point)

The students made an error in calculating the initial energy.
Some energy was transformed to other forms.
Some energy was destroyed or lost.
The students made an error in determining the final energy.

Answers

Answer:

1) 51 m

2) Some energy was transformed to other forms. (This question)

3) 3.24 J

4) 45 J

5) 1020 J

Explanation:

100%


How many types of charges are gained by rubbing objects?
(a) 2
(b) 1
(c) 3
(d) 4

Answers

Answer:

Explanation:

Rubbing objects together generates static charges. There will be two type of charges: positive and negative. So the answer is (a) 2.

Answer:

2

Explanation:

When you rub two objects one gets positively charged and other gets negatively charged

Then they attracts each other.

So

there are two charges

PositiveNegative

A gas cylinder holds 0.36 mol of O2 at 170 ∘C and a pressure of 2.5 atm. The gas expands adiabatically until the volume is doubled.
a. What is the final pressure?
b. What is the final temperature in ∘C?

Answers

a. The final pressure is 1.39 atm.

b. The final temperature is 80.4 °C.

a. How to calculate final pressure?

The final pressure can be calculated using the adiabatic expansion equation:

P₂/P₁ = (V₁/V₂)^(γ)

where P₁, V₁, and P₂, V₂ are the initial and final pressures and volumes, respectively, and γ is the adiabatic index, which is 1.4 for diatomic gases like O2.

Substituting the given values, we get:

P₂/2.5 atm = (1/2)^(1.4)

P₂ = 1.39 atm

Therefore, the final pressure is 1.39 atm.

b. How to calculate final temperature?

The final temperature can be calculated using the adiabatic expansion equation:

T₂/T₁ = (V₁/V₂)^(γ-1)

Substituting the given values, we get:

T₂/443.15 K = (1/2)^(0.4)

T₂ = 353.4 K

Therefore, the final temperature is 80.4 °C.

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Each of four tires on an automobile has an area of 0.026 m2 in contact with the ground. The weight of the automobile is 2.6 x104 N. What is the pressure on the tires? what is the pressure on each tire ?

Answers

The pressure on the tyres of the automobile of weight 2.6 x104 N with a contact area of 0.026 m2 for each tyre is 250 KPa and the pressure on each tire is 62.5 KPa.

P = F / A

P = Pressure

F = Force

A = Area

F = W = 2.6 * \(10^{4}\) N

Area of one tyre = 0.026 m²

Total area, A = 0.026 * 4

A = 0.104 m²

P = ( 2.6 * \(10^{4}\) ) / 0.104

P = 25 * \(10^{4}\) Pa

P = 250 KPa

Total pressure of the tyres = 25 * \(10^{4}\) Pa

Assuming the pressure is same on all four tyres,

Pressure on each tyre = ( 25 * \(10^{4}\) ) / 4

Pressure on each tyre = 6.25 * \(10^{4}\) Pa

Pressure on each tyre = 62.5 KPa

Therefore,

The pressure on the tyres = 250 KPaThe pressure on each tire = 62.5 KPa

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y varies inversely with the square x. If y =-4 when x =-2, find y when x= 7. Simplify the polynomial, then evaluate for x=-3 -x^2+2x-2x^2-3x+4+x^2 7 ones 2 tenths+4 tenths= how many tenths Jeff owns a small business installing home security systems priced at $1,000 each. By himself, he can install four systems per month. If he hires an assistant, a total of ten systems can be installed. If he hires two assistants, a total of fifteen systems can be installed. Assuming that the price stays the same, what is the marginal revenue product of the first assistant and the marginal revenue product of the second assistant how might an aspiring leader challenge another leader's authority Can you guess my number?I am thinking of a number less than 91/2.Write down at least 3 choices ofwhat my number could possibly be. If the pH at one-half the first and second equivalence points of a diprotic acid is 3.5 and 6.2, respectively, what are the values for pKa1 and pKa2 and Ka1 and Ka2 When looking at the book in front of you, you probably perceive it as rectangular rather than trapezoidal, as it appears on your retina. this shows the importance of:________ which of the following statements best describes the difference between the irr method and the mirr method? the irr method assumes that cash flows are reinvested at a rate of return equal to the irr. the mirr method assumes that cash flows are reinvested at a rate of return equal to the cost of capital. the irr method uses the present value of the initial investment to calculate the irr. the mirr method uses the terminal value of the initial investment to calculate the mirr. the irr method uses only cash inflows to calculate the irr. the mirr method uses both cash inflows and cash outflows to calculate the mirr. The diaphragm is located at the bottom of the rib cage, below the lungs. It helps to separate the thoracic region above the region. Solve*x + 12/2=3(x + 7) Consider the following declaration:String s = "cat";Which of the following statements assigns the number of characters in s to k?A. int k = s.length;B. int k = s.length();C. int k = s.size;D. int k = s.size();Consider the following declarations:String s1 = "apple";String s2 = "apple";What is the result of s1.compareTo(s2)?A. trueB. falseC. 0D. 1Consider the following declarations:String s1 = "apple";String s2 = "APPLE";Which of the following expressions is true?A. s1.equals(s2) && s1.equalsIgnoreCase(s2)B. !s1.equals(s2) && s1.equalsIgnoreCase(s2)C. s1.equals(s2) && !s1.equalsIgnoreCase(s2)D. !s1.equals(s2) && !s1.equalsIgnoreCase(s2) Based on evidence from the model, how does temperature affect the way stem cells differentiate? OA. Female turtles hatch from eggs below 22C or above 28C. Male turtles hatch from eggs between 25C and 27C. OB. Temperatures between 22C and 28C produce the largest baby turtles.OC. Identical numbers of female and male turtles hatch from eggs below 22C or above 28C. OD. Temperatures between 22C and 28C produce greater numbers of both female and male baby turtles. The table above shows the various units of output that can be produced with different combinations of capital and labor. Which of the following statements is correct according to the information in the table?O In the long run, there are constant returns to scale.O In the long run, there are increasing returns to scale.O In the short run, the marginal product of capital is constant. In the short run, the marginal product of labor is constant.O In the short run, the law of diminishing marginal returns does not hold. A jewelry firm buys semiprecious stones to make bracelets and rings. the supplier quotes a price of $8 per stone for quantities of 600 stones or more, $9 per stone for orders of 400 to 599 stones, and $10 per stone for lesser quantities. the jewelry firm operates 200 days per year. usage rate is 25 stones per day, and ordering costs are $48. The organizers of the Red Maple College Fun Run gathered data about the runners ages. This box plot shows the results. What percent of the runners were between 20 and 45 years old? Solve the following right triangle. Angles (nearest tenth of a degree ) and Sides (2 places after the decimal ). Show your work!! You can't use Law of Sines or Cosines. Use proper notation if you are using an inverse. A searchlight installed on a truck requires 60 watts of power when connected to 12 volts. a) What is the current that flows in the searchlight? b) What is its resistance? Which of the following are aerobic activities the need to be performed for longer durations before they yield the cardiorespiratory benefits of continuous sustained intensity, such running? A box has twice as many grapes as a basket. Once 2kg of grapes were added to the basket, it contained 0.5 kg more than the box. How many kilograms of grapes are in the basket now?