2) A skier stands at rest and begins to ski downhill with an acceleration of 3.0 m/s² {downhill). What is
her displacement after 15.0 seconds?

Answers

Answer 1

Answer:

her displacement s=337.5m

Explanation:

check out the above attachment ☝️

2) A Skier Stands At Rest And Begins To Ski Downhill With An Acceleration Of 3.0 M/s {downhill). What
Answer 2

Displacement after 15.0 seconds s= 337.5 m

What is acceleration?

The rate of change of velocity is called acceleration.

Acceleration. speed is the charge of the exchange of displacement. Acceleration is the charge of the exchange of speed. velocity is a vector quantity because it consists of each significance and direction. Acceleration is also a vector quantity as it's far just the fee of alternate of pace.

Acceleration of 3.0 m/s²

Time= 15.0 seconds

S= ut + 1/2 at²

S = 0+0.5*3*15*15

 =337.5 m

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Related Questions

3.Shanai drove 40 miles to the west, then turned around and drove 70 miles to the east.
Draw vectors that show each segment of her trip and the resultant displacement vector. Find
her resultant displacement.

Answers

Answer:

Explanation:

Comment

The main points are that

The arrowheads go in opposite directionsDisplacement is measured from the origin to the arrowhead of the last vector correctly drawn.the tail of the second vector starts where the arrowhead of the first vector is.

Solution

               40 miles west

<==========================   0

=====================================================>

                                                  Displacement (30 km east)

Answer

30 km east                

If m = 2,000, p = 2. 25, and y= 6,000, what is velocity?

Answers

The velocity is 6.75



The velocity in the equation stated above can be calculated as follows

m= 2,000
p= 2.25

y= 6000

velocity= 2.25 × 6000/ 2000
= 13500/2000
= 6.75


Hence the velocity is 6.75

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which lens is used to treat hypermetropia ? ​

Answers

Answer:

convex lense

Explanation:

people with hyperopia or hypermetropia are long sighted or farsighted, so what happens here is that light doesn't focus on the surface of the retina but behind it so the picture is moved forward by positioning a convex lense in front of a hypermetropic eye and is correctly centered in the retina.

Convex lens
People with hypermetropia have farsightedness where light rays fall behind the retina with convex lens picture is moved forward placing it on the hypermetropia eye and is correctly centered on the retina

Every magnet must have what at its ends?
O A. A north pole and a south pole
OB. A positive charge and a negative charge
C. A positive charge and a north pole
OD. A south pole and another south pole
SUBE

Answers

Explanation:

The correct is A.

every magnet have two pole

which best describes series​

Answers

Answer:

a single closed path of electrical components including a voltage source

What is the concentration of H+ ions at a pH = 8?

mol/L

What is the concentration of OH– ions at a pH = 8?

mol/L

Answers

Taking into account the definition of pH and pOH, the concentration of H⁺ ions at pH=8 is 1×10⁻⁸ M and the concentration of OH⁻ ions at pH=8 is 1×10⁻⁶ M.

Definition of pH

pH is a measure of acidity or alkalinity that indicates the amount of hydrogen ions present in a solution or substance.

The pH is defined as the negative base 10 logarithm of the activity of hydrogen ions, that is, the concentration of hydrogen ions or H₃O⁺:

pH= - log [H⁺]= - log [H₃O⁺]

Definition of pOH

Similarly, pOH is a measure of hydroxyl ions in a solution and is expressed as the logarithm of the concentration of OH⁻ ions, with the sign changed:

pOH= - log [OH⁻]

Relationship between pH and pOH

The following relationship can be established between pH and pOH:

pOH + pH= 14

Concentration of H⁺ ions

In this case, pH=8. Replacing in the definition of pH:

8= - log [H⁺]

Solving:

[H⁺]= 10⁻⁸= 1×10⁻⁸ M

Finally, the concentration of H⁺ ions at pH=8 is 1×10⁻⁸ M.

Concentration of OH⁻ ions

Being pH= 8, pOH is calculated as:

pOH + 8= 14

pOH= 14 - 8

pOH= 6

Replacing in the definition of pOH the concentration of OH⁻ ions is obtained:

- log [OH⁻]= 6

Solving

[OH⁻]= 10⁻⁶= 1×10⁻⁶ M

Finally, the concentration of OH⁻ ions at pH=8 is 1×10⁻⁶ M.

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Work is always done when
an object moves
an object has potential energy
a force moves an object
a force is applied perpendicular to the direction of the object's motion

Answers

its option 3 an object has potential energy

A solenoid is configured to produce a magnetic field of 0.027T at its center. it has radius 1.4 cm and length 40cm and the wire can carry a maximum length of 12.0A. What is the total length required​

Answers

The total length of the wire required is 63 m.

What is current?

The current is the stream of charges which flow inside the conductors when connected across the end of voltage.

Given is a solenoid is configured to produce a magnetic field of 0.027T at its center. it has radius 1.4 cm and length 40cm and the wire can carry a maximum current of 12.0 A.

Radius, r = 1.4cm = 0.014 m

Length l = 40 cm = 0.4 m

If the current is I, then the magnetic field in solenoid is given by

B =  μ₀ n I

By substituting the values, we get

0.027 = 4π x 10⁻⁷ x n x 0.4

n = 1792 turns/unit length

Total length of wire = circumference x Turns

L = 2πr x N

where N = nl

Plug the values, we get

L = 2π x 0.014 x1792 x 0.4

L = 63 m

Thus, the total length of the wire is 63 m.

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if anyone knows momentum can you explain it? the khan academy problems are literally killing me

Answers

The body's mass and velocity are multiplied to create momentum. It happens as a result of the force used. Kg m/s² is its unit. Measurement of mass in motion is momentum.

What is momentum?

The body's mass and velocity are multiplied to create momentum. It happens as a result of the applied force and has the unit Kg-m/s².

Equal amounts of force and momentum are applied. More quantitative than the first rule of motion, the second law of motion is usually used to describe what happens when a force is applied.

The momentum is found as;

P =mv

Where m is the mass in kilogram

v is the velocity in m/sec

P is the momentum in the kg-m/s²

The second law of motion is more quantitative, and it is frequently used to quantify what occurs when a force is applied. The second law of Newton is discussed in depth in this article.

Force and the rate of change of momentum are equal. The force is given as the product of mass and change of velocity. The impulsive force is given by the change in momentum.

I=ΔP

Hence, the body's mass and velocity are multiplied to create momentum.

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4. Calculate the acceleration of a body which starts from rest and travels 87.5 m in 5sec.​

Answers

Answer:

the acceleration will be 7m / (s ^ 2)Explanation:

According to the question,As the given displacement is 87.5 mAnd the time is 5sec.Where the initial velocity is u=0m/secAs we have to find the acceleration (a)=?As we know, s = ut + 1/2 * a * t ^ 2So now by substituting the values,87.5 = O * 5 + 1/2 * a * 5 ^ 287.5 = 1/2 * a * 25a = 87.5/12.5a = 7m / (s ^ 2)Hence, the acceleration will be 7m / (s ^ 2)

If a hyperpolarizing graded potential and a depolarizing graded potential of similar magnitudes arrive at the trigger zone at the same time, what is most likely to occur

Answers

The likely outcome when a hyperpolarizing and a depolarizing potential of similar magnitudes arrive simultaneously at the trigger zone is the cancellation of charges.

What is membrane action potential?

Membrane action potential refers to differential electric charges within and outside of a given cell.

Hyperpolarization refers to a differential membrane potential of a cell associated with a negative charge, whereas depolarization is associated with a positive charge.

In conclusion, the likely outcome when a hyperpolarizing and a depolarizing potential of similar magnitudes arrive simultaneously at the trigger zone is the cancellation of charges.

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Help please help! Need help

Answers

Answer:

M. Magnetism is a property of individual atoms.

Explanation:

when a magnet is broken into pieces the new pieces behave like the original magnet this observation shows that magnetism is the property of individual atoms.

matter falling into a black hole arranges itself in the shape of a ____.

Answers

Matter falling into a black hole arranges itself in the shape of a disk that is thick at the outer edge, thin along the inner ring.

What is black hole?

A black hole is a region of space time where gravity is so strong that nothing or  no particles or even electromagnetic radiation such as light can escape from it.

Thus, matter falling into a black hole arranges itself in the shape of a disk that is thick at the outer edge, thin along the inner ring.

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If a ball is thrown into the air with a velocity of 45 ft/s, its height in feet after t seconds is given by y=45t-15t2. Find the instantaneous velocity when t=4

Answers

Given that a ball is thrown into the air and its height in feet after t seconds is given by y = 45t - 15t²,  the instantaneous velocity when t=4 is -75ft/s.

What is the instantaneous velocity when t=4?

Given that;

Initial velocity = 45ft/sHeight in feet after t seconds is given by y = 45t - 15t² Instantaneous velocity = ?

First, we determine the derivative of y = 45t - 15t²

y' = (1)45 - (2)15t

y' = 45 - 30t

We substitute in t = 4

y' = 45 - 30t

y' = 45 - 30(4)

y' = 45 - 120

y' = -75ft/s

Given that a ball is thrown into the air and its height in feet after t seconds is given by y = 45t - 15t²,  the instantaneous velocity when t=4 is -75ft/s.

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Type the correct answer in each box. Round your answers to the nearest hundredth.
An illustration depicts a ball tied with a rope and hanged at a position labeled A. The ball is then pulled to a position labeled B with a height of 0 point 5 meters.
A ball with a mass of 1.5 kilograms is tied to the end of a rope. The ball is pulled to a height of 0.5 meters above the ground and released.
The ball has
joules of potential energy at position B. At position A, all of the energy changes to kinetic energy. The velocity of the ball at position A is
meters/second. Assume there’s no air resistance. Use g = 9.8 m/s2 , PE = m × g × h, and .

Answers

The velocity of the ball at position A is 3.13 m/s.Since all energy is converted to KE.

What is potential energy?

The potential energy is due to the virtue of the position and the height. The unit for the potential energy is the joule.

A person has the most potential energy due to her position. when he is sitting on the highest point.

Given data;

Mass,m = .5 kg

Height,H = 0.5 m

Acceleration due to gravity,g = 9.8 m/s²

H is the height

The potential energy is found as;

The potential energy is mainly dependent upon the height of the object.

Potential energy = mgh

The potential energy at point B;

PE = mgh

PE = ( 1.5 kg) ( 9.8 m/s2) (0.5 m)

PE = 7.35 J

Since all energy is converted to KE, the kinetic energy at point B;

KE = 0.5mv^2

KE = PE

7.35 = 0.53(1.5) v^2

V = 3.13 m/s

Hence, the velocity of the ball at position A is 3.13 m/s.

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A charge of 5.67 x 10^-18 C is placed 3.5 x 10^-6 m away from another charge of -
3.79 x 10^-19 C. What is the force of attraction between them?

Answers

+ 1.58 e -15

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which statement is a scientific theory
A.most cells are so small that they can be observed only through a microscope
B.the interactions between cells can be predicted with mathematical equations
C.The various functions of different types of cells can be determined by experiments
D.cells are fundamental units of all living organisms

Answers

Most cells are so small that they can be observed only through a microscope is a scientific theory. Option A is correct.

What is a scientific theory?

A well-considered explanation for observations of the natural world that has been developed through the scientific method and that combines numerous facts and hypotheses is known as a theory.

A scientific hypothesis states that most cells are so tiny that a microscope is the only way to see them.

Hence option A is correct.

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When does astrons form?

Answers

Answer:

don't exist

Explanation:

Differences between freezing point and melting point (Atleast 5 differences)​

Answers

Answer:

What is freezing point?

A liquid's freezing point is determined at which it turns into a solid. Corresponding to the melting point, the freezing point often rises with increasing pressure. In the case of combinations and for some organic substances, such as lipids, the freezing point is lower than the melting point. The first solid which develops when a combination freezes often differs in composition from the liquid, and the development of the solid alters the composition of the remaining liquid, typically lowering the freezing point gradually. Utilizing successive melting and freezing to gradually separate the components, this approach is used to purify mixtures.

What is melting point?

The temperature at which a purified substance's solid and liquid phases may coexist in equilibrium is referred to as the melting point. A solid's temperature goes up when heat is added to it until the melting point is achieved. The solid will then turn into a liquid with further heating without changing temperature. Additional heat will raise the temperature of the liquid once all of the solid has melted. It is possible to recognize pure compounds and elements by their distinctive melting temperature, which is a characteristic number.

The difference between freezing point and melting point:

While a substance's melting point develops when it transforms from a solid to a liquid, a substance's freezing point happens when a liquid transforms into a solid when the heat from the substance is removed.When the temperature rises, the melting point can be seen, and when the temperature falls, the freezing point can be seen.When a solid reaches its melting point, its volume increases; meanwhile, when a liquid reaches its freezing point, its volume decreases.While a substance's freezing point is not thought of as a distinctive attribute, its melting point is.While external pressure is a significant component in freezing point, atmospheric pressure is a significant element in melting point.Heat must be supplied from an outside source in order to reach the melting point for such a state shift. When a material is at its freezing point, heat is needed to remove it from the substance in order to alter its condition.

Reference: Berry, R. Stephen. "When the melting and freezing points are not the same." Scientific American 263.2 (1990): 68-75.

7. Many medicines started out as natural products.Penicillin was originally made from _______________
A. Poppies
B. Bark of the willow tree
C. The flower foxglove.
D. Mold

Answers

B.Bark of a willow tree

Answer:

D

Explanation:

PCN was discovered in mold

If a BASEBALL is traveling in projectile motion, in what direction is it going?

Answers

The  direction the BASEBALL which is traveling in projectile motion is going is called a parabola.

What is projectile motion?

Projectile motion is the motion of an object launched into the air at an angle to the horizontal and allowed to fall freely under the effect of gravity.

The  object is known as a projectile, and the path of motion is a curved path called a parabola.

Therefore, the direction the BASEBALL which is traveling in projectile motion is going is called a parabola.

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A 9.0x10^-2kg ice cube at 0.0 degrees Celsius is dropped into a styrofoam cup holding 0.35 kg of water at 13 degrees Celsius.

A. Find the final temperature of the system. Assume the cup and the surroundings can be ignored.

B. Find the amount of ice (if any) remaining.

C. Find the initial temperature of the water that would be enough to just barely melt all of the ice.

Answers

A. The final temperature of the system is 0°C.

B. The amount of ice (if any) remaining is  0.0331 g

C. The initial temperature of the water that would be enough to just barely melt all of the ice is 20.57 °C.

What is specific heat?

The specific heat is the amount of heat required to change the temperature by 1°C. It is denoted by C.

Heat lost or gained is represented as

Q = m C ΔT

Given, Mass of ice, mice = 9x10⁻² kg, Mass of water, mw =0.35 kg, T = 13 °C

A. If ice is in excess, final water temperature will be 0°C.

B. Specific heat of water Cp = 1000 cal/kg°C

Latent heat of ice L = 80 kcal/kg

In that case, heat lost by water =Heat gain by ice

Q = mCp x dT = mL

0.35 x 1000 x 13 = m x 80 x 1000

m = 0.0569 kg of ice.

The gram of ice remaining = 0.09 - 0.0569

                                             = 0.0331 gram of ice.

Thus,  the amount of ice remaining is 0.0331 g

C. Heat required to melt 90 gram of ice,  Q  mL

Q = 90 x 80 = 7200 cal.

If the initial temperature of water needed = T,

mCp x dT = mL

350 x T = 7200

T = 20.57 °C

Thus,  the initial temperature of the water that would be enough to just barely melt all of the ice is  20.57 °C.

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how to find the sum of a convergent series

Answers

The formula that can be used to obtain a convergent series is given by;

a/1 – r.

What is a series?

In mathematics, we define a series as sum of numbers which could be convergent or divergent. In a convergent series, the summation of the numbers approaches a given value.

The formula that can be used to obtain a convergent series is given by;

a/1 – r.

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John walked from his home to work, it took him 12 min and the distance covered was 3 km. calculate the average speed in m/s

Answers

Answer:

4.167

Explanation:

ittravels 4.167metres per second

Deena made a chart to summarize features of a velocity vs. time graph for objects with constant acceleration and objects with constant velocity.

Answers

The statement which best describes Deena's error is: B. Include the area of the rectangle under the line to find displacement for constant acceleration.

What is a velocity vs. time graph?

A velocity vs. time graph can be defined as a type of graph that is used to graphically represent the rate of change of velocity of an object with respect to time.

Based on the information provided in the table shown (see attachment), the statement which best describes Deena's error is her not including of the area of the rectangle under the line, so as to enable her find displacement for constant acceleration.

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Complete Question:

Deena made a chart to summarize features of a velocity vs. time graph for objects with constant acceleration and objects with constant velocity.

Which best describes Deena's error?

A. The line for constant velocity is not horizontal; it is diagonal and slopes downward.

B. Include the area of the rectangle under the line to find displacement for constant acceleration.

C. Find acceleration by finding the area of the rectangle above the line.

D. Find velocity by calculating the slope of the line.

Which Items are Matter? (Multiple Choice Question)

-Battery
-Electricity
-Mobile Phone
-Sound
-Light
-Heat

Answers

Battery, Mobile phone, and light

used to accurately measure the volume of solutions when adding a solid to be dissolved

Answers

To make the solute dissolve, thoroughly mix and add a little quantity of solvent after transferring the solute to a container

What is a solute?

A solute is a material dissolved in another substance known as a solvent in a homogeneous mixture made of two or more components.

A solute's concentration in a solution is a measure of how much of that solute is dissolved in the solvent and the amount of solvent present, such as salt. Solutes are the best cleaning agents and additives.

Add a little quantity of solvent after transferring the solute to a container ideally a volumetric flask,

Which most precisely measures the volume of the solution indicated on the flask. To make the solute dissolve, thoroughly mix.

Hence the above process should be followed to dissolve, and thoroughly mix.

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If we assume a typical efficiency for the body, as quoted in the video, how much energy input would it take to climb a ladder, increasing your body’s potential energy by 5,000 j?.

Answers

The energy input would it take to climb a ladder will be 20000 J.

What is the mechanical advantage?

Mechanical advantage is a measure of the ratio of output force to input force in a system, it is used to obtain the efficiency of the given mechanical machine.

Mechanical advantage is a measure of how much a machine multiplies the input force.

The complete question is;

"if we assume a typical efficiency of 25% for the human body how much energy input would it take to climb a ladder increasing body potential energy by 5000J"

The formula for the efficiency is;

[tex]\rm E = \frac{P}{\eta} \\\\ E = \frac{5000}{0.25} \\\\ E = 20000 \ J[/tex]

Hence, the energy input would it take to climb a ladder will be 20000 J.

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A practical machine cannot be 100% efficient?
please give me the answer.​

Answers

[tex]\huge\color{Basic}{\boxed{\tt{answer}}}[/tex]

A practical machine cannot be 100% efficient?

IF THE CHOICES ARE TRUE OR FALSE THEN U GOThe answer is false a machine cannot be 100 percent efficient because the output of a machine is always less than input. (correct me if Im wrong)

Have a great day<3

Answer: yes it cannot be 100% efficient

Explanation:

only an ideal machine with 0 friction can have 100 percent efficiency

A book with a mass of 1.2 kg sits on a bookshelf. if it has a gravitational potential energy of 50 j, how high is the shelf? the acceleration of gravity is 9.8m/s^2

Answers

Answer:

h = 4.25 m

Explanation:

[tex]gravitational \space\ potential \space\ energy \space\ (gpe)= m g h\\[/tex] ,

where m is the mass, g is acceleration of gravity, and h is height of object.

In our case, m = 1.2 kg, g = 9.8m/s², and gpe = 50 J.

50 = 1.2 x 9.8 x h

h = 50 / (1.2 x 9.8)

h = 4.25 m

Answer:

4.25m

Explanation:

Joules is a "derived unit", meaning it is really composed of other units, and it is just abbreviated as a single letter.

[tex]1[J]=1 [\frac{kg \cdot m^2}{s^2}][/tex]

This comes from the formula for potential energy, often denoted "U"

[tex]U=mgh[/tex], where m is the mass of the object (measured in kilograms,  [tex]kg[/tex]), g is the acceleration due to gravity at that spot (measured in meters per second squared,  [tex]\frac {m}{s^2}[/tex]), and h is the height of the object (measured in meters, [tex]m[/tex]).

Note:  The object itself may or may not have an acceleration of "g" at the given point because it may be supported (like on a bookshelf).  However, the "g" is representative of its gravitational acceleration at that point if gravity could accelerate it unimpeded.

Rearranging the potential energy equation to isolate the unknown "h", dividing both sides by "m" and "g", we get the following:

[tex]\dfrac{U}{mg}=h[/tex]

Substituting known values (and rewriting Joules as its SI units so we can ensure units cancel the way we need them to):

[tex]\dfrac{\left (50 [\frac{kg \cdot m^2}{s^2}] \right)}{(1.2 [kg])(9.8 [\frac{m}{s^2}])}=h\\\dfrac{\left (50 [\frac{kg \!\!\!\!\!\!\!{--} \cdot m^{2 \!\!\!{-}}}{s^2\!\!\!\!\!\!\!{--} }] \right)}{(1.2 [kg \!\!\!\!\!\!\!{--} ])(9.8 [\frac{m\!\!\!\!\!\!\!{--} }{s^2\!\!\!\!\!\!\!{--} }])}=h\\\dfrac{(50)}{(1.2)(9.8)}[m]=h\\\\4.2517[m] \approx h[/tex]

Thus, the height of the book would be approximately 4.25meters high.

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A jacket is on sale for 70% of the original price.if the discount saves $140,what was the original price of the jacket The students in Class A and Class B were asked how many pets they each have. The dot plots below show the results.Students in Class AA dot plot titled Students in Class A. A number line going from 0 to 5 labeled Number of pets. There are 5 dots above 0, 5 above 1, 4 above 2, 1 above 3, and 0 above 4 and 5.Students in Class BA dot plot titled Students in Class B. A number line going from 0 to 5 labeled Number of pets. There is 1 dot above 0, 2 above 1, 2 above 2, 4 above 3, 3 above 4, 3 above 5.What is the difference between the ranges in the dot plots?0234Unmark this Help guys.What's the grammatical name given to the expression " .......whose members share similar attitudes". Somebody help me !!!! the price for each ticket is 7.99 one person thinks the total for all eight people will be around 50.00 is this a reasonable estimate. why? English settlers in the Americas wanted religious freedom and also An angle is bisected, forming two newangles. If the original angle had a measureof 48 degrees, what is the measure of eachnew angle? Earth is one million times smaller than the ________. Draw the graph of f(x) = (x 1)2 2. Start by creating a table of ordered pairs for the function. Then plot the points from the table, and draw a curve connecting the points. The Johnsons new swimming pool measures 3x^2-2x+1 ft in length and x+2 ft in width. What is the area of the new swimming pool, in square feet? There are 4.9875 mol C, 7.9802 mol H,and 2.00 mol O in the sample.Divide each by the smallest number ofmoles. What is the ratio for the H? Looking for a step by step explanation for this question! I take the Math QRAS Accuplacer soon and practicing my math skills but I seem to be stuck on this problem. To raise money for their school play, Beatrice sold brownies for $1.25 each, and Chuck sold cookies for $0.75 each. Together, they sold 87 items and made $80.75. How many cookies did Chuck sell?(A) 15 cookies(B) 26 cookies(C) 56 cookies(D) 65 cookies Explain how the legal protections found in federal legislation and the Fifteenth, Seventeenth, Nineteenth, Twenty-Fourth, and Twenty-Sixth Amendments relate to the expansion of opportunities for political participation. Which grammar is correct?..Who ( knows ) somebody that does tattoos or who ( know ) somebody that does tattoos?21 points! A student was given a mixture of iron of iron fillings and sulphur. He was told to heat it and observe the compound. (a) What is coloured formed. (b) Write the effect of magnet on it. (c) Write the action of carbon disulphide on it. (d) Describe the effect of adding dilute hydrochloric acid to it. ldentify the gas and write its two properties. Outside of the United States, many countries use ____ for their accounting standard.A. the Common Market accounting methods B. the international agreement on taxes and tariffs C. the International Financial Reporting StandardsD. generally accepted accounting practices Find the equation of the line of best fit and the correlation coefficient for the data shown.(1, 88), (2, 75), (3, 71), (4, 69), (5,66), (6, 68), (7, 50)Regression equation: i need quick help on this, please X. y -6. -7.1. 10. 93. -2What is the domain of the given function? (x|x = -6, -1, 0, 3}(y|y) =-7.-2, 1, 9}(x|x = -7, -6, -2.-1, 0, 1, 3, 9}(y|y)= -7, -6, -2, -1, 0, 1, 3, 9} Bill, the owner of FG Kraftco Corp., asks his employee, Megan, for sexual favors in exchange for a raise in her salary. When Megan refuses to entertain his request, Bill reduces her salary. Megan files a charge against Bill with the Equal Employment Opportunity Commission. This case is a ________. Group of answer choices retaliation case res judicata case disparate impact case hostile work environment case quid pro quo case