an object is placed on a common central axis of two thin lenses. the distance from the object to the first lens is 19 cm. the distance between the two lenses is 35 cm. the first lens is a converging lens with a focal length of 9.9 cm. thesecond lens is a diverging lens with a focal length of 9.0 cm. what is the magnification of the system?

Answers

Answer 1

The magnification of the system is  +0.5

By dividing the picture distance by the object distance, the magnification may be calculated. The image will be flipped if the magnification is negative. The image will be upright if the magnification is positive. In optics, magnification refers to the image's size in relation to the item that produced it. The ratio of the image length to the object length, as measured in planes perpendicular to the optical axis, is referred to as linear magnification, also known as lateral or transverse magnification.

A comparison of the size of the picture produced by a lens and the size of the object is what is meant by the term "magnification." Magnification, or "m," for a lens, is the proportion of the image's height to the object's height.

magnification M = \(i_{1} *i_{2} / p_{1} *p_{2}\)

\(i_{1} =p_{1} .f_{1} / (p_{1} -f_{1})\)

= 19x (+9.9) /19-9.9 = 20.67 cm

\(p_{2}\) = 35-20.67 = 14.33 cm

\(i_{2} =p_{2} .f_{2} / (p_{2} -f_{2})\)

=(-14.33)x(9) /-14.33-9 = 5.53

M = (20.67 X5.53) / (19 x 14.33)

M = +0.5

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An Object Is Placed On A Common Central Axis Of Two Thin Lenses. The Distance From The Object To The

Related Questions

-8. A vessel is filled with a 20cm of water. When an irregular body of mass 800gm is immersed the volume of water is increased to 60cm3. What is the density of irregular shaped body? ​

Answers

Answer:

13.33 g/cm3

Explanation:

density = mass/volume

mass of irregular body = 800 grams

new volume = 60 cube cm

= density = 800/60  = 13.333 g/cm3

When an electron enters a region of uniform magnetic field (B=0.19T), with its
velocity (V=5.5X10^6m/s) perpendicular to the field, it experiences a magnetic
force which acts as centripetal force to cause circular motion of the particle. find
the radius of the track?

When an electron enters a region of uniform magnetic field (B=0.19T), with itsvelocity (V=5.5X10^6m/s)

Answers

The radius of the track in the circular motion is 0.164 mm.

Magnetic force of the of charge

The magnetic force of the charge is calculated as follows;

F = qvB

Centripetal force of the charge

The centripetal force experienced by the charge is calculated as follows;

\(F = \frac{mv^2}{r}\)

The magnetic force is equal to the centripetal force

\(qvB = \frac{mv^2}{r} \\\\qB = \frac{mv}{r} \\\\r = \frac{mv}{qB} \\\\\)

The radius of the track

The radius of the track is calculated as follows;

\(r = \frac{9.1 \times 10^{-31} \times 5.5 \times 10^6}{1.6 \times 10^{-19} \times 0.19} \\\\r = 1.64 \times 10^{-4} \ m\\\\r = 0.164 \times 10^{-3} \ m\\\\r = 0.164 \ mm\)

Thus, the radius of the track in the circular motion is 0.164 mm.

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Find the depth of water at which an air of radius 0.003m bubble may remain in equilibrium (surface tension=0.072Nm,gravity=9.8gs²)​

Answers

Answer:

h = 0.047 m

Explanation:

It is given that,

Radius of an air bubble is 0.0003 m

The surface tension of water is \(7\times 10^{-2}\ N/m\)

We need to find the depth at which an air bubble of radius 0.0003 m will  remain in equilibrium in water. Let it is given by h.

Pressure due to surface tension is given by :

\(P=\dfrac{2T}{R}\) .....(1)

T is surface tension

Also, pressure due to a height is given by :

\(P=\rho gh\)

So, equation (1) becomes :

\(\rho g h=\dfrac{2T}{R}\)

So,

\(h=\dfrac{2T}{\rho gR}\)          

\(h=\dfrac{2\times 7\times 10^{-2}}{10^3\times 9.8\times 0.0003}\\\\h=0.047\ m\)

So, the depth is 0.047 m.

two identical rooms in a house are connected by an open doorway. the temperatures in the two rooms are maintained at different values. which room contains more air? hint: you can make a reasonable assumption regarding the air.

Answers

Answer:

The colder room will contain more air.

Explanation:

Assuming that there are no other sources of heating or cooling we can answer this question.

Under the assumption we can conclude that the room that has the lower temperature contains more air than the room at the higher temperature.

This is because when air is heated, it expands and becomes less dense. Contrarily, when air is cooled, it contracts and becomes more dense. Thus, if one room is maintained at a higher temperature than the other, the air in that room will be less dense and occupy a larger volume compared to the air in the cooler room.

When two identical rooms in a house are connected by an open doorway and the temperatures in the two rooms are maintained at different values, the room that contains more air is the one with the lower temperature

This is because of the principle of density and temperature.The air in the cooler room is denser than the air in the warmer room. Because the air is denser, there are more air molecules packed into the same space. As a result, there is more air in the cooler room than in the warmer room.

Temperature has an effect on air density, which influences the amount of air in a room. As temperature increases, air molecules gain kinetic energy and move around more quickly. This causes the air to expand and become less dense. So therefore when two rooms with different temperatures are connected, the room with the lower temperature has more air because its air is more dense.

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Nora rides a bicycle for 5 min on a curvy road at a constant speeed of 10 m/s . Describe noras ride in terms of speed , velocity, and acceleration

Answers

Given:

The time period for which Nora rides the bicycle, t=5 min

The speed of the bicycle, s=10 m/s

To find:

The description of the ride.

Explanation:

The speed is a scalar quantity and has only magnitude. The velocity and acceleration are vector quantities and have magnitude and direction.

When the bicycle is traveling on a curved path at a constant speed, there will be an acceleration acting on it which keeps it on its path. This acceleration is called the centripetal acceleration.

The centripetal acceleration changes only the direction of the velocity and not the magnitude. Thus the speed will be constant. But the velocity will be changing at a constant acceleration.

a vector has an x component of -309m and a y component of 187m find the direction of the vector

Answers

The direction of the vector is approximately 330.06 degrees.

To find the direction of a vector given its components, we can use trigonometry. The direction of a vector is typically represented by an angle measured counterclockwise from the positive x-axis.

Let's denote the x-component as x = -309 m and the y-component as y = 187 m. To find the direction, we can calculate the tangent of the angle using the formula:

θ = arctan(y/x)

Substituting the given values, we have:

θ = arctan(187/-309)

Using a scientific calculator or trigonometric tables, we find that the arctan of this ratio is approximately -30.06 degrees.

Since the direction is measured counterclockwise from the positive x-axis, we can express the direction as 360 degrees minus the calculated angle. In this case, the direction is approximately 330.06 degrees.

Therefore, the direction of the vector is approximately 330.06 degrees.

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2) Re-write the equation in terms of 6 \[ \gamma_{d}=\frac{G_{s} \gamma_{w}}{1+e} \]

Answers

The equation given as:

\(\(\[ \gamma_{d}\)

=\(\frac{G_{s} \gamma_{w}}{1+e} \]\)\)

needs to be rewritten in terms of 6. We know that e = 2.71 approximately,  the equation in terms of 6 is:

\(\(\[\gamma_d = \frac{6G_s\gamma_w}{22.26}\]\)\)

This new equation gives the value of γd in terms of 6.

so we will substitute this value in the equation to get:

\(\[\gamma_d = \frac{G_s\gamma_w}{1+2.71}\]\)

Simplifying the expression by adding the denominator terms and getting a common denominator, we get:

\(\(\[\gamma_d = \frac{G_s\gamma_w}{3.71}\]\)\)

Now, we can divide both sides of the equation by 3.71 to isolate γd on one side and write the equation in terms of 6, as follows:

\(\[\gamma_d\)

\(= \frac{G_s\gamma_w}{3.71} \times \frac{6}{6}\] \[\gamma_d \(\)

\(= \frac{6G_s\gamma_w}{22.26}\]\)\)

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4. Un móvil lleva una velocidad de 75 m/s, en dicho momento aplica los frenos durante tiempo de 15 segundos hasta detenerse. ¿cuál será la aceleración del frenado? ¿cuál es la distancia que recorre hasta detenerse?

Answers

Answer:

a = 5 m / s²   and    x = 562.5 m

Explanation:

Let's apply the kinematics relations

          v = v₀ + at

          v² = v₀² + 2a x

In this case, as the car stops, its final speed is zero (v = 0) and the acceleration must be opposite to the speed, that is, negative

           0 = v₀ - a t

           a = v₀ / t

let's calculate

           a = 75/15

           a = 5 m / s²

let's look for the distance

           0 = v₀² - 2a x

           x = v₀² / 2a

let's calculate

           x = \(\frac{75^2}{2 \ 5 }\)

           x = 562.5 m

The average speed of sound in ocean water is 1510 m/s. If a sound travels

with a wavelength of 20 m, what is its frequency?*

0. 01 Hz

75. 5 Hz

30. 2 MHz

30,200 Hz

Answers

Answer:

75. 5 Hz

Explanation:

velocity = frequency × wave length

1510 = frequency × 20

frequency = 1510÷20 = 75.5 Hz

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Explain the terms 'in phase' and 'out of phase'​

Answers

Answer: Both are difference in angles.

Explanation:

Both are difference in angles.

If two waves are moving with same angles with time the they are called in phase, if moving with different angles with time then they called as out of phase.

If two things are out of phase with each other, they are not working or happening together as they should. If two things are in phase, they are working or occurring together as they should.

The efficiency of a machine is always equal to or greater than 1 (True False)

Answers

Answer: False.Machine efficiency is a measure of how much work is produced by a machine compared to how much energy is required to operate the machine.

The ratio of useful output work divided by the total input work is known as machine efficiency. This number is frequently expressed as a percentage (100 x work output / work input).Example:

For example, if you lift a 50-pound weight 10 feet in the air using a pulley, the work done is 500 foot-pounds. However, if it took 600 foot-pounds of energy to lift the weight, the pulley system's efficiency would be calculated as follows: 500/600 = 0.83 or 83 percent.

The efficiency of a machine is always less than one, in general. It is defined as the ratio of output energy to input energy. Because of losses due to friction and other variables, the output energy is always less than the input energy. As a result, the efficiency of a machine is always less than one.Answer: False.

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What is the final stage of existence for each type of star?

Answers

Answer:

A star like our Sun will become a white dwarf when it has exhausted its nuclear fuel. Near the end of its nuclear burning stage, such a star expels most of its outer material (creating a planetary nebula) until only the hot (T > 100,000 K) core remains, which then settles down to become a young white dwarf.

How many kilograms of alcohol are needed to fill a 4-gallon container? (A lot of
converting is needed here)

Answers

Answer:

2

Explanation:

1+x/4+x = 1/2

4+x = 2 + 2x

x = 2

If an object has a mass of 25 grams and a volume of 5 mL, then what is the density of the object?

Answers

Answer:

5

Explanation:

density = mass/volume

density = 25g /5 mL

density = 5

what will happen to a speed or disctance traveled of a cart in an inclined plane if the mass of the car is increased?

Answers

The distance travelled by the car and the velocity of the car, both will increase weather the mass increases or not.

Let us say that there is a horizontal surface inclined at an angle A, the acceleration is g(acceleration due to gravity) and the car is going down the inclined.

Let us say that the mass M of the car is increasing constantly.

Now, we know, because the inclined is at an angle, so the component of g that will be in the direction of the motions is gsinA.

This component of acceleration not going to change, so the acceleration is now constant.

As there is some acceleration, that too in the direction of the motion, so the velocity of the car will increase constantly regardless of the mass until it reaches the final maximum value.

Because the velocity of the car is increasing so obviously the distance will also increase.

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How would the number 13,900 be written using scientific notation?
a. 13.9 x 104
C.
b. 1.39 x 104
1.39 x 10³
d. 1.39 x 105
Which one is it??

Answers

Answer:

um d. but I am guessing this ans

Suppose you have three identical lightbulbs, some wire, and a battery. You connect one lightbulb to the battery and take note of its brightness. You add a second lightbulb, connecting it in parallel with the previous lightbulbs, and again take note of the brightness. Repeat the process with the third lightbulb, connecting it in parallel with the other two. As the lightbulbs are added, the power delivered by the battery: ____________


a. increases.

b. decreases.

c. remains the same.

d. need more information.

Answers

The correct option is C: As the lightbulbs are added in parallel, the power delivered by the battery remains the same.

When lightbulbs are connected in parallel, each bulb receives the same voltage from the battery. This means that the voltage across each bulb remains constant. Since power is calculated as the product of voltage and current, and the voltage remains constant, the power delivered by the battery also remains the same.

In a parallel circuit, the total current supplied by the battery is divided among the individual branches, with each branch having its own current. When the first lightbulb is connected, it draws a certain amount of current and produces a certain amount of brightness.

Adding more lightbulbs in parallel provides additional pathways for the current to flow, but the total current supplied by the battery increases to accommodate the additional bulbs.

While the current and brightness of each individual bulb may decrease slightly as more bulbs are added due to the increased overall resistance in the circuit, the power delivered by the battery remains constant. This is because the decrease in current is offset by the increase in the number of bulbs connected, resulting in the same total power output.

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which model would be classified as a physical model

Answers

Answer:

Model will be classified as a physical model since it is demonstrating a model in real life.

Explanation:

Answer:

Marshmallow answer

Explanation:

what is the overallvoltage gainvout/vin, in terms of av1, av2, zin2and zout1?

Answers

The overall voltage gain is dependent on the voltage gains and input/output impedances of both amplifiers.

The overall voltage gain Vout/Vin in terms of AV1, AV2, Zin2, and Zout1 is given by;Vout/Vin = (AV1 + Zout1 / Rin1) × (AV2 × Zin2 / Zout1 + Zin2 + Rin2) where Rin1 is the input resistance of the first amplifier, Rin2 is the input resistance of the second amplifier, Zin2 is the input impedance of the load and Zout1 is the output impedance of the source.

AV1 and AV2 are the voltage gains of the first and second amplifiers, respectively. If Rin2 is much larger than Zin2, it can be approximated as infinity, and the gain equation can be simplified as Vout/Vin = AV1 × AV2 × (Zin2 + Rin2) / Rin1Zin2 can also be ignored if Rin2 is much larger than Zin2

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A boat takes 2.5 hr to go 25 mi upstream against the current. It can go 55 mi downstream with the current in the same amount of time. Find the speed of the current and the speed of the boat in still w

Answers

Part 1 of 2  The speed of the boat in still water is 16 mph.

Part 2 of 2 The speed of the current is 6 mph.

Given that, the boat takes 2.5 hr to go 25 mi upstream against the current. It can go 55 mi downstream with the current in the same amount of time. Let the speed of the boat in still water be B and the speed of the current be C.

As we know,Speed = Distance/Time

Speed of the boat while going upstream = (B - C) mph

Time taken to travel upstream = 2.5 hours

Distance travelled upstream = 25 miles

Therefore, B - C = 25/2.5

B - C = 10 equation (1)

Speed of the boat while going downstream = (B + C) mph

Time taken to travel downstream = 2.5 hours

Distance travelled downstream = 55 miles

Therefore, B + C = 55/2.5

B + C = 22 equation (2)

On solving the equations (1) and (2), we get the value of B and C.

2B = 32B = 16 mph

Substituting the value of B in equation (1)

B - C = 10=> 16 - C = 10=> C = 16 - 10=> C = 6 mph

The speed of the current is 6 mph and the speed of the boat in still water is 16 mph.

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The complete question is:

A boat takes 2.5 hr to go 25 mi upstream against the current. It can go 55 mi downstream with the current in the same amount of time. Find the speed of the current and the speed of the boat in still water.

Part 1 of 2  The speed of the boat in still water is ______  mph.

Part 2 of 2 The speed of the current is __________ mph.

Select the correct answer

What happens to a sound wave when it interie with another sound wave hdking the same frequency but traveling in the opposite direction?

A. Astanding wave is generated
B. Beats are produced
C. Atraveling wave is generated
D. Resonance occurs
E. The frequency of the resultant wave decreases

Answers

A. A standing wave is generated

Answer:

A. Astanding wave is generated

Explanation:

Standing waves arise from the interference of traveling and reflected waves, which have the same wavelength at the point of reflection, but mutually opposite directions of propagation.

1. A car starts from the rest on a circular track with a radius of 300 m. It accelerates with a constant tangential acceleration of a = 0.75 m/s?. Determine the distance traveled and the time elapsed"

Answers

Starting from rest on a circular track with a radius of 300 m and a constant tangential acceleration of 0.75 m/s², the car will travel a distance of approximately 0.2119 meters or 21.19 centimeters in 0.75 seconds.

To determine the distance traveled and the time elapsed by the car starting from rest on a circular track with a radius of 300 m and a constant tangential acceleration of 0.75 m/s², we can use the equations of circular motion.

The tangential acceleration is the rate of change of tangential velocity. Since the car starts from rest, its initial tangential velocity is zero (v₀ = 0).

Using the equation:

v = v₀ + at

where v is the final tangential velocity, v₀ is the initial tangential velocity, a is the tangential acceleration, and t is the time, we can solve for v:

v = 0 + (0.75 m/s²) * t

v = 0.75t m/s

The tangential velocity is related to the angular velocity (ω) and the radius (r) of the circular track:

v = ωr

Substituting the values:

0.75t = ω * 300

Since the car starts from rest, the initial angular velocity (ω₀) is zero. So, we have:

ω = ω₀ + αt

ω = 0 + (0.75 m/s²) * t

ω = 0.75t rad/s

We can now substitute the value of ω into the equation:

0.75t = (0.75t) * 300

Simplifying the equation gives:

0.75t = 225t

t = 0.75 seconds

The time elapsed is 0.75 seconds.

To calculate the distance traveled (s), we can use the equation:

s = v₀t + (1/2)at²

Since the initial velocity (v₀) is zero, the equation becomes:

s = (1/2)at²

s = (1/2)(0.75 m/s²)(0.75 s)²

s = (1/2)(0.75 m/s²)(0.5625 s²)

s = 0.2119 meters or approximately 21.19 centimeters

Therefore, the car travels a distance of approximately 0.2119 meters or 21.19 centimeters.

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Name your favorite color.

-Mondays 10 points
-Wednesdays 10 points
-Fridays 10 points
-Sundays 10 points
-2 Questions every Day So 4 lucky people will get 10 points!
If you're from K12 post in chat <3

Answers

Answer:

Light blue

Wbu

Answer: Blue

Explanation:

Read this article discussing the amount of time that people of various ages and education levels report spending on different technologies. Ask at least 12 of your adult friends and family members the same survey question. (The more people you ask, the better.) How do your survey results compare with the results in the article? What are some possible reasons your results might be different? When comparing the results, be sure to take into account the margin of error for the survey discussed in the article

Answers

The article is not found here but surveys are important because they are representative samples of a population.

What is a survey?

A survey is a useful tool based on population samples, which is used to make statistical analyses in a given investigation.

Differences in surveys are generally due to small sample sizes, which may lead to errors in the analysis of data.

In conclusion, the article is not found here but surveys are important because they are representative samples of a population.

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Using the Skygazer's Almanac for 2022 at 40 degrees.
What day will Venus and Saturn be in opposite parts of the sky
this year?

Answers

According to the Skygazer's Almanac for 2022 at 40 degrees, Venus and Saturn will be in opposite parts of the sky on December 17, 2022.

The Skygazer's Almanac provides astronomical information for a specific location and year. In this case, at a latitude of 40 degrees, the almanac indicates that Venus and Saturn will be in opposite parts of the sky on December 17, 2022. This means that Venus and Saturn will appear at opposite sides of the celestial sphere as observed from Earth. However, it's important to note that the almanac's predictions are approximate and can be influenced by various factors, including atmospheric conditions and the observer's specific location. To obtain the most accurate and up-to-date information, it is recommended to consult more recent astronomical sources or use specialized software that can provide precise positions and dates for celestial events.

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tionless surface. the pulley is frictionless and massless. (a) if the magnitude of horizontal force is 2.3 n, what is the tension in the connecting cord? (b) what is the largest value the magnitude of may have without the cord becoming slack?

Answers

(a) To find the tension in the connecting cord with a horizontal force of 2.3 N, identify the forces acting on the system and the horizontal force will be equal to the tension in the cord.



1. Identify the forces acting on the system. There are two forces acting on the system: the horizontal force (2.3 N) and the tension in the cord (T).

2. Since the surface is frictionless and the pulley is massless and frictionless, the horizontal force will be equal to the tension in the cord. Therefore, T = 2.3 N.

So, the tension in the connecting cord is 2.3 N.


(b) To find the largest value of the magnitude of the horizontal force without the cord becoming slack, follow these steps:

1. Identify the forces acting on the system. There are two forces acting on the system: the horizontal force (F) and the tension in the cord (T).
2. In order for the cord to not become slack, the tension in the cord must be greater than or equal to zero. Therefore, T ≥ 0.
3. Since the surface is frictionless and the pulley is massless and frictionless, the horizontal force will be equal to the tension in the cord. Therefore, F = T.
4. Since T ≥ 0, it follows that F ≥ 0.

So, the largest value of the magnitude of the horizontal force without the cord becoming slack is any value greater than or equal to zero.

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If solid iron is dropped in liquid iron, it will most likely

Answers

If solid iron is dropped in liquid iron, it will sink to the bottom of the liquid iron due to its higher density. The liquid iron will flow around the solid iron as it sinks and will eventually surround it completely.

The solid iron will start to melt due to the high temperature of the liquid iron, and the molten iron will mix with the liquid iron. The solid iron will continue to sink until it reaches the bottom of the container, where it will settle. The resulting mixture of molten and solid iron will reach thermal equilibrium, where the temperature and density of the mixture will become uniform throughout.

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what causes things to attract to a balloon

Answers

Answer:

friction

Explanation:

when things like hair and the balloon run they loose some electrons to the other this makes onne object positive and negative causing them to attract


would your weight be different from what it is on Earth?

Answers

Answer:

Our mass is the amount of matter that we consist of. This mass does not change when we change planets. However, if we went from Earth to Mars, our weight would change because Mars has less gravity than Earth. Gravity is a force pulling matter together.

why is the fact that the universe has a temperature of 2.73k inconsistent with the steady state model?

Answers

The fact that the universe has a temperature of 2.73K is inconsistent with the steady state model because this model posits that the universe has always existed in a steady state without any significant changes.                                          

The temperature of the universe indicates that there was a time in the past when it was much hotter and denser. This is because the temperature of the universe is a remnant of the Big Bang, which is the prevailing theory of the origin of the universe.
However, the presence of the CMB radiation, and its temperature of 2.73K, provides evidence of the universe's early hot and dense state, supporting the Big Bang model. The observed temperature contradicts the steady state model's assumption of an unchanging universe.

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One leg of a 45-45-90 triangle is 3.Find the length of the hypotenuse. IMAGE ATTACHED please help giving 50 points Can someone help me please and use right punctuation please Theres also a #6, and 7 I couldnt fit in the picture but if you can help with that also 6. explico la informacon sobre los anfibios 7. Las ruinas fascinan. ( a ti y a m) 1. A 11. 8kg ladder, 1. 8m long, rests on two sawhorses. Sawhorse A is 0. 6m from one end of the ladder and sawhorse B is 0. 15m from the other end. What force does each sawhorse exert on the ladder? The following function is cumulative distribution function.F(x) = 0 x < 10 0.25 10 x < 30 0.75 30 x < 50 1 50 x Determine the requested probabilities. Round your answers to two decimal places (e.g. 0.98).P(X 50) =P(X 40) =P(40 X 60) = P(X < 0) = The applicant arrived for her interview, and the executive assistant greeted her in the lobby. What type of association is shown by the scatterplot? answer the following question how will you determine if harmful microorganisms are produced in bread or fruit What did the British hope to achieve by establishing the Dominion of New England? a stronger colonial stance against New France more self-government in the colonies firmer control over an increasingly independent New England the reestablishment of royal control over New York and New Jersey A 6-car monorail train can carry 78 people. If one train makes 99 trips during the day, what is the greatest number of people the train can carry in a day ? how do I put this in correctly Order the following ion pairs by decreasing bond strength. (Strongest to weakest: left to right.)Li+ F-Mg2+ O2- Ca2+ O2- Na+ F- Ca2+ Se2- Na+ Br- We know circle A is a congruent to circle B because In his studies on infants, Spitz used the term anaclitic depression to describe babies who seemed listless and passive because the infants were depressed as a function of ____. Organizational Change Research: Part 2 Directions: Continue researching the company you selected for the Topic 3 CLC assignment to provide a minimum of six sources according to the following criteria. Use at least three previous research sources from Topic 3 and two or three new sources that are needed to address the remaining questions. Also include the Wall Street Joumal as a source. You will use this research to determine potential areas for organizational change and to address questions related to planning and managing change within the company. Use the ADKAR model first introduced in Topic 2 when answering the questions. Gitano Products operates a job-order costing system and applies overhead cost to jobs on the basis of direct materials used in production (not on the basis of raw materials purchased). All materials are classified as direct materials. In computing a predetermined overhead rate at the beginning of the year, the company's estimates were: manufacturing overhead cost, 800,000 ; and direct materials to be used in production, 500,000 . The company has provided the following data in the form of an Excel worksheet:(c) Compute the Cost of Goods Sold for the year. (Do not include any underapplied or overapplied overhead in your Cost of Goods Sold figure.) What options are available for disposing of underapplied or overapplied overhead? Find dw where w(x, y, z) = xyz + xy, with x(t) = 4, y(t) = ) e4ty dt = = e 7t and z(t) =e dw dt II" Question 4 (1 point) Diffraction gratings provide much brighter interference patterns since more light passes through them compared with double slits. O True O False Question 5 (1 point) A When the th Since 1990, the number of new books publishedeach year has been growing at a rate that can beapproximated by a quadratic function. The tableshows the number of books published in theUnited States for selected years. Use theregression feature on your calculator todetermine the quadratic which best fits thedata. Then, estimate the number of books in2017. (Hint: 2017 represents when x = 27)Years (1990=0) Books Published (1000's)46.749.2349.8451.7562.0668.2765.89102.010122.102Oy=1.0622 - 3.57x + 49.8726150o y = 1.0522 - 3.682 + 49.9 715990Oy=1.04.c 3.51x + 49.41 712800y = 1.0522 - 3.752 + 49.6 713800 Suppose you chose to solve the following system of questions by multiplying the first equation by 3. Then by what number would you multiple the second equation to eliminate the x variable by adding