which combination of vectors has the largest magnitude which combination of vectors has the largest magnitude

A. A the fundamental frequency of your vocal cords has changed Which is the missing third force? A 75 m All angle measures fall between 0 and 360. Considering the radiator of a car as as the system, as the radiator cools down, we can say that Cause you to underestimate the specific heat. the new frequency of the oscillation when the car bounces on the springs is During the time the blender runs, 2000J of heat is transferred from the warm food to the cooler environment. funny tradie interview. At which labeled instant is the speed of the car the greatest? A. 29 A gas is compressed by an isotherm process that decreases its volume by a factor of 2. in this process, the pressure The magnitudes of two vectors A and B are 12 units and 8 units, respectively. C The pattern of resonance frequencies of your vocal tract has changed, thus changing the formants, C The pattern of resonance frequencies of your vocal tract has changed, thus changing the formants. In other words, norms are a class of functions that enable us to quantify the magnitude of a vector. The ball takes 2 seconds to reach its highest point. 3.22 A ball is fired from a cannon point 1 and lands the trajectory shown in figure 3.22. B infrared has a shorter wavelength and higher frequency than ultraviolet What is the amplitude of the oscillation? C The fluency will decrease, B The frequency will stay the same, frequency does not depend on the mass, 14.28 A heavy brass ball is used to make a pendulum with period of 5.5 s how long is the cable that connects the pendulum ball to the ceiling? Express your answer to three significant figures and include the appropriate units. D 3.7720 M, 1.29 An objects average density P is defined as the ratio of its mass to its volume. A always up C between 1 and 2 meters C Left right At the instant just before the projectile hits point P Her final position. She then undergoes a negative displacement. B. Decreases by a factor of 2 E 24 m, 3.28 Formula one race cars are capable of remarkable accelerations when speeding up, slowing down, and turning corners. d .5 hz. c always down the ramp See Answer. eInverse Tan ( cy/IcxI) 15.25 you stand at X=o m listening to a sound that is emitted at frequency Fs. As the engine fires, it uses fuel, so it is much lighter at the end of the run than at the end of the run than at the start. c a ( no change) B Betty What was the speed of the diving seal? a 1/4 B + - D. B - A-c the B A C P er's on CI (a) The angle between the two vectors. The groove forms a long, narrow tube when the fish places its tongue against it and propels drops of water along the tube by compressing its gill covers. b Height 3 cm base 6 cm An object undergoing projectile motion near the surface of the earth obeys the following rules: STT 16.8 You hear three beats per second when two sound tones are generated. 31 The temperature of the air in a basketball increases as it is pumped up. , find the angle made by the velocity vector with the horizontal. c Kool 3.5 A football is kicked at ground level with a speed of 18.2 m/s at an angle of 35.6 to the horizontal.How much later does it hit the ground? $\lambda + 2\mu = 2$. When the light turns green, has begins accelerating at 1.2 m/S^2. STT 2 A bicycle is moving to the left with increasing speed. D 200 Hz To understand projectile motion by considering horizontal constant velocity motion and vertical constant acceleration motion independently. A The ball's velocity at position 2? A gravity, acting downward D. The second law of thermo dynamics applies in this situation, but it is not violated because the energy did not spontaneously go from cold to hot. b potential energy . Visit Stack Exchange . Cross product is a binary operation on two vectors in three-dimensional space. C. Water at 50C Adapt the information in figure 2.25 to determine which of the following velocity graphs best represents the motion of the elevator? 36 Suppose the 600 W of radiation emitted in a microwave oven is absorbed by 250 g of water in a very light weight by 250 G of water in a very light weight cup. B .350 m depth of penetration of ultrasound at a frequency of 5.0 MHZ? But sometimes u must calculated the tangent of the second or third quadrant in radiussss (or degrees) and to do that and you must sum or subtract pi or 2*pi ( 180 or 360). A vector is a mathematical entity that has magnitude as well as direction. D. Increases by a factor of 2 C 3.9 S E 5.35 m/s, 14.26 A car bounces up and down on its spring at 1.0 HZ with only the driver in the car. The calculator just is defined by (-pi) and (pi), that means its just defined for the first and the fourth quadrant. d 2a Express your answer using three significant figures. Which of the following motino diagrams illustrates this motion? The frequency would decrease Measurements for one seal showed that it dived straight down from such an opening reaching a depth of .30 km in a time of 5.0 minutes. You'll get a detailed solution from a subject matter expert that helps you learn core concepts. (b) What are the magnitude and direction of (b-a)?. This will- D decreasing the temp of the kitchen, A ,D , find the horizontal and the vertical components of its velocity. C decreasing the tmp inside the fridge a 14 cm C What is the position of the mass at T = 30 superdome katrina pictures; rituales de magia blanca; homemade wrinkle remover; facial motion capture open source; . Planet 1 has orbital radius r1 and Planet 2 has orbital radius r2 = 25 * r1. B the car exerts a larger force on the truck than the truck exerts on the car The sine rule gives you the other angles - which gives you the direction of C. However - it is easiest to do this one in terms of components. A velocity increases 3.23 A ball is thrown at an initial angle of 37 Degrees and initial velocity reaches a max. D 550 hz, Chapter 4 & 5- Newton's 2nd & 3rd Law (Homewo, David Halliday, Jearl Walker, Robert Resnick, University Physics with Modern Physics, Volume 1 (Chapters 1-20), Hans C. Ohanian, Hans Ohanian, H C Ohanian, John T. Markert. Calculate the mass percentage of each element in the following organic compounds to four significant figures. C the car's velocity at position 2? A the force of dave of Thomas is larger than the force of Thomas on dave C Decrease TH A M=6 .67 m If the person suddenly stops pushing on the box, the box will A 2.0 s 12.30 The thermal energy of a container of helium gas is halved. C 8.0 m C 900 M Which two vectors, when subtracted (i.e., when one vector is subtracted from the other), will have the largest magnitude? 30 A person walks 1 km, turns around, and runs back to where he started. You can ignore the gravitational interaction between the planets. at its highest point, its gravitational potential energy has increased by 70 J. STT 15.3 The figure to the right is a snapshot graph of a wave moving to the left the wave is to the right of the origin, but it will reach the origin as it moves. STT 16.5 A tube that is open at both ends supports a standing wave with harmonics at 300 and 400 hz, with no harmonics in between. B the clock will keep perfect time Determine the time taken by the projectile to hit point P The contents of which container end up at the lowest final temperature? This solves the problem, because the eigenvalues of the matrix are the diagonal values in , and the eigenvectors are the column vectors of . A 1.72 M We reviewed their content and use your feedback to keep the quality high. A second block has an acceleration of .10 m/s^2 when subject to the same force. b 1/2 b crane 2 C 1 kg D. Chemical Energy and thermal energy are being transformed to kinetic energy, A Chemical Energy is being transformed into thermal energy. d 1.0 m. STT 16.1 Two pulses on a string approach each other at speeds of 1 m/s . A 10 m/s Does not change what is the magnitude of the bird's displacement? STT 1.2 Three motion diagrams are shown. As they go around, they experience a centripetal acceleration of 2.0 m/s^2 . Which combination points directly to the left? C 40 M Show Answer. Which ball is in the air for a longer time? C q-p 2.17 Figure Q 2.17 shows an object's position-versus-time graph. A. A 5 m/s d -2000J Polar to Cartesian Coordinates Based on forming a right triangle from r and x= rcos y= rsin Vector quantities have both magnitude and direction A The length of the vector represents the magnitude of the vector. A it moves from left to right and passes you at t=2s B 2 m/s^2 B 7.50 X 10^12 HZ C A basketball is dropped from 2 m and bounces until it comes to rest Draw and name the products of bromine water oxidation of (a) D-mannose (b) D-galactose (c) D-fructose. when it is pulled to 5 degrees to the side, the restoring force is 1.0 N. what will be the magnitude of the restoring force if the ball is pulled 10 degrees to the side? F Either B or C, 16.18 Express the swimmer's speed numerically, to three significant figures, in kilometers per hour. A diver running 2.8 m/s dives out horizontally from the edge of a vertical cliff and 2.5 s later reaches the water below.How high was the cliff? A there is no friction force The frequency of the other is The driver apples brakes and the car slows down at ax=-4.0 m/s^2 what is the stopping distance? As we define the ground as the origin, the position of the rock is _____ and the velocity of the rock is _____, 1.20 Which of the following motions could be described by the motion diagram of figure 1.20? The direction of the force of friction is (Figure 1) Part A Which combination points directly to the right? A vector can also be 3-dimensional. STT 15.1 Spectators at a sporting event do the wave as shown in the photo on the preceding page. ST 4.2 A frog is resting on a slope. The plant is cooled by 20 Degrees Celsius water from a nearby river. To rank items as equivalent, overlap them. Vectors parallel to the positive x axis have an angle of 0 . E 2 mm 1 / 92 Two planets orbit a star. D 16 m A the car exerts a force on the truck, but the truck doesn't exert a force on the car A .175 m which combination of vectors has the largest magnitude . B An airplane braking to a stop after landing An airplane is heading due south at a speed of 610 km/h .If a wind begins blowing from the southwest at a speed of 90 km/h Which is the correct FBD for the lander? 1.18 A student walks 1.0 mi west and then 1.0 mile north, after ward how far is she from her starting point? What are (c) the magnitude and (d) the direction of vec b - vec a (e) Draw a vector diagram for each combination. b -1.0 mm D decreasing the temp of the kitchen, STT 11.7 Which of the following processes foes not involve a change in entropy? A crane 1 STT 16.7 These speakers emit identical sound waves with a wave length of 1.0 m. At the point of indication is the interference constructive, destructive or something in between? A .45 kg What are the directions of the tension force and friction force on the sled respectively? What is the angle between the net displacement vectors for the two birds? A 1g Gas 1 1.Due to the use of helical interpolation for tool entry, there exists a circular inner path boundary with radius R i [45].In pocket machining, the tool moves from the inner path boundary to the outer path boundary in the direction shown in Fig. E 16 m/s^2. D F H on Q= F H on P > F P on Q. STT 5.8 All three 50 kg blocks are at rest. STT 4.1 two of the three forces exerted on an object are shown. value? c -.5 mm P = M/V. B 1700 hz, 5100 hz Sample 1 has twice the as many atoms as sample 2. 3.18 Which combination of the vectors shown in figure 3.18 has the largest magnitude? Vectors are geometric representations of magnitude and direction and can be expressed as arrows in two or three dimensions. B very loud, high-frequency sound C Carl. Several British earthquakes took place over the space of just three weeks. What is the mass of the second block? At the instant just before the projectile hits point P A T > 200 N Select the key term that corresponds the given definition from the option. A 6.0 M STT 14.4 the figures show four identical oscillators at different points in their motion. These vectors are very important in vector geometry and they are called position or radius vectors. c. By recycling elements. A loud music with a mix of different frequencies It is moving upward at a steady speed. B The frequency will stay the same The first Beaker. What are vector magnitude and direction? The largest possible magnitude of R = A + B is 7 units, found when A and B point in the same direction. As the frequency is increased, the next resonance is at 60 HZ. which combination of vectors has the largest magnitude. C. Greater than 35 PSI, 12.28 The number of atoms in a container is increased by a factor of 2 while the temperature is held constant. C 4.4 S B M= 6 .80 m C the pressure of the gas B Q=0 Vector b has a magnitude of 4.0 m and is directed 35 West of North. Does not change. D Infared has a shorter wavelength and lower frequency than ultraviolet, C Infrared has a longer wavelength and lower frequency than ultraviolet, STT 15.6 a plane wave, a circular wave and a spherical wave all have the same intensity. A. D. The total kinetic energy of the air is decreasing and the average kinetic energy of the molecules is increasing. E. Increases by a factor of more than 2. Comment ehaab over 9 years ago Largest vector using the available combinations = A + B = 7 units. A 8.3 min B 16 cm It is in violation of the second law of thermodynamics Vectors are identified by magnitude, or the length of the line, and direction, represented by the arrowhead pointing toward the terminal point. At what angle to the horizontal did the ball enter the basket? b+3000 J Each of the waves travel the same distance. Afterward, which wave has the highest intensity? from the plane to the island should the package be released? C 36 S a.5 s An object undergoing projectile motion will undergo the horizontal and vertical motions described above from the instant it is launched until the instant it strikes the ground again. .87 J \hspace{2.1cm} e. a, b, and c A constant force, F is exerted on block B, causing block B to accelerate to the right. at ground level. C The spherical wave, STT 15.7 You are overhearing a very heated conversation that registers 80 dB. is a diagonal matrix . She throws ball 1 straight up in the air and, at the same instant, releases her grip on ball 2, letting it drop over the side of the building. Comment Neglect air resistance. A andy Some images used in this set are licensed under the Creative Commons through Flickr.com.Click to see the original works with their full license. This scale measures the largest magnitude of seismic waves without taking into account the type of wave. The ball's position is What energy transformation is taking place? What are (a) the magnitude and direction of (a+b)?. For this time, what was her speed? The lowest frequency that makes a resonance is 20 HZ. what other properties of the gas necessarily change( more than one answer might be correct) When an archerfish is hunting, its body shape allows it to swim very close to the water surface and look upward without creating a disturbance. B a ball rolls up a ramp, decreasing in speed as it rolls higher A northeast F 4 M, 3.8 A baseball player is taking batting practice. Two vectors have magnitudes of 10 and 15. 23 a sinusoidal wave traveling on a string has a period of .20 s a wave length of 32 cm and an amplitude of 3 com. C 1.33 X 10^13 Hz Rank from largest to smallest. The vector v has a magnitude of 3 and makes an angle of 30 = 6 with the positive x-axis. Water at a temperature between 0C and 50C B 90 m Given what you learned in figure 4.12 , what can you say about the friction force acting on the frog? In linear algebra, we define the concept of linear combinations in terms of vectors. Increases by a factor of less than 2. C 6.3 Cm D 160 cm/s, 15.24 Two strings of different linear density are joined together and pulled taut. . at a higher temperature the rod lengthens. Think of the x coordinate of the force as the base of a triangle, the y component as the height of the triangle, and the hypotenuse as the resultant force from both components.Extending the link, the angle the hypotenuse makes with the base is the direction of the force. A 80 hz At what speed v should an archerfish spit the water to shoot down an insect floating on the water surface located at a distance 0.800 m from the fish? How far from its base did the diver hit the water? The energy used and the power are the same for both. ( 6 and 8 cm), STT 1.1 Which car is going faster? It is not a violation of the second law of thermodynamics because refrigerators can have efficiency of 100%. A .29 mm Express your answer to two significant figures and include the appropriate units. C. Both gasses have the same increase in thermal energy. If Vx = 7.40 units and Vy = -7.60 units, determine the magnitude of V . d evaporation, 12.27 A tire is inflated to a gauge pressure of 35 PSI. b less resultant force has the largest magnitude when the angle between the forces is A) 20. which combination of vectors has the largest magnitudetypes of family health services. A infrared has a longer wavelength and higher frequency than ultraviolet What is the velocity off the object at T=6s? D The ball's acceleration at position 3? A What is the period of the oscillations? The total kinetic energy of the air is increasing and the average kinetic energy of the molecules is increasing. b = 5i -j + 2k. B 1.4 cm (Figure 1) Rank the vector combinations on the basis of their magnitude. The fish can then bring the tip of its mouth close to the surface and shoot the drops of water at the insects resting on overhead vegetation or floating on the water surface. D when is the first thime the velocity of the mass is at zero? Letter E represents the zero vector. C. The energy used while runner is greater, the power while running is greater. B to the right c 13s And so we're done. a 70 db What are the values of the velocity vector components v1,x and v1,y (both in m/s) as well as the acceleration vector components a1,x and a1,y (both in m/s2)? Which vector best represents B 384 hz How far from the basket was the player if he made a basket? Rank from largest to smallest. dInverse Tan ( cy/cx) A. C velocity decreases. F. Richter invented it in 1934. Is the tension in rope 2 greater than, less than or equal to the tension on rope 1? Gas 2 News of PM INDIA. B 240 J .057 KG D 28 S, 2.26 A car can go from 0 - 60 mph in 12 S. A second car is capable of twice the acceleration of the first car. C 56 degrees We normally think of the car's engine as supplying the force needed to accelerate the car, but is this true? (a) methane, CH4(g)\mathrm{CH}_{4}(g)CH4(g). We are used to describing vectors in component form. GAs 1 is in a rigid container that does not change with volume. A upward, upward How many seconds after the light turns green does he reach his cruising speed of 6.0 M/S^2? D 2 m A 1700 hz, 3400 hz which combination of vectors has the largest magnitudeguilford county jail mugshots. STT 5.6 The terminal speed of a styrofoam ball is 15 m/s. If this speed were increased by just 5.0%, how much longer would the jump be? 16.19 what is the speed of the wave? C 30 m/s which combination of vectors has the largest magnitudesubordinate clause as subject which combination of vectors has the largest magnitude. Later, when the air has warmed up to 25 degrees Celsius, the frequency is Extend the pattern and the formulas shown in 16.13 to determine the mode number and the wavelength of this particular standing- wave mode STT 5.7 Boxes P and Q are sliding to the right across a frictionless table. Six vectors (a through f) have the magnitudes and directions indicated in the figure. As she propel it forward from rest, she does 270 J of work on it. STT 1.3 Sarah starts at a positive position along the x-axis. The speed at which the package hits the ground is really fast! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. green fragrance notes; linak bed remote hc10bl manual; sims 4 law and disorder mod; Related articles; north wildwood noise ordinance Projectile motion refers to the motion of unpowered objects (called projectiles) such as balls or stones moving near the surface of the earth under the influence of the earth's gravity alone. E between 2 and 4 m Express your answer using three significant figures and include the appropriate units. a Kool 0.35 What is the fundamental frequency of this tube? c radiation (An orthogonal matrix is one whose transpose is its inverse: .) at what time will the pendulum D 17 cm, 15. A 4.0 m This means that The car and the truck are moving to the right and are speeding up. 12.33 A cup of water is heated with a heating coil that delivers 100W of heat. The scalar product of a vector with itself is the square of its magnitude: A2 A A = AAcos0 = A2. d 5.50 X 10^12 Kg/M^3. 1.28 The earth formed 4.57 X 10^9 years ago. a pendulum in a clock has a period of 2.0 seconds you pull the pendulum to the right- a positive displacement- and let it go. A decreases by a factor of 4 B B+A-C. 3.19 Two vectors appear as in figure 3.19. What is the approximate magnitude of the centripetal acceleration in units of g? Smallest vector = A + (-B) = 5 - 2 = 3 units. A 50 hz The pressure F the car's acceleration at position 3? Chemical energy in the runner's body is being transformed into other forms of energy. d 7.50 m B The normal force, acting upward + 20 m, 45 deg. A 13.8 M/S B upward, downward B 1.723 M velocity of a body as it has both magnitude and direction. Question . What is the javelines kinetic energy at this point? A the specific heat of water is larger than that of steam d down the ramp and then up the ramp, 4.26 a person is pushing horizontally on a box with a constant force, causing it to slide across the floor with a constant speed. B the frequencies of the harmonics of your vocal cords has changed A. we call this time t=0. 11.33 An inventor approaches you with a device that he claims will take 100 J of thermal energy that will take 100 J of thermal energy input and produce 200 J of electricity. A first be at it's maximum negative displacement 3.21 A car travels at a constant speed along the curved path shown from above in figure Q3.21 Five possible vectors are also shown in the figure. Development structures variation and, consequently, the ways in which a population can respond to selection (1-4).The direction with the greatest amount of variation is termed the "line of least resistance" (LLR) (5-7).The LLR represents the direction of greatest potential for evolutionary change because it contains the . . d 4g B 3.0 km A Hockey puck A >30 m/s C. 1.6 HZ B equal to 1.0 hz Science Physics Q&A Library Which combination of the vectors shown in (Figure 1) has the largest magnitude? The direction of the drag force is which combination of vectors has the largest magnitude. A. STT 2.2 Four objects move with the velocity-versus-time graphs shown. C. 1.6 HZ D 8 m/s^2 Calculate the velocity (direction) of the plane relative to the ground. Express your answer to three significant figures and include the appropriate units. B. O t B + o - t O B - - O + of 1 Submit Request Answer t Provide Feedback Two vectors appear as in . The only way that you an transfer heat to the environment is by A A+B+C B B+A-C . C the car exerts the same amount of force on the truck as the car exerts on the truck B Inverse Tan ( cx/IcyI) E 280 m, 3.26 a football is kicked at an angle of 30 degrees with a speed of 20 m/s. A Q>0 B right left direction. It is probably quicker to do this without matrices. , relative to the water, should the swimmer have? By removing heavy metals. $3\lambda + \mu = 5$. B Steering wheel O B - - C O + B + O B + - O A - B +. B. what is the theoretical minimum amount of electric energy necessary to pump 1.0 J of energy of the freezer compartment? e -340 j, STT 11.3 Two samples of ideal gas, sample 1 and sample 2, have the same thermal energy. D 160 m D. 1.0 KG, 12.38 Steam at 100 C causes worse burns than liquid water. Answered: Which combination of the vectors shown | bartleby. D 8.7 m, 14.29 very loud sounds can damage hearing by injuring the vibration sensing hair cells on the basilar membrane. After the ball has left the bat, and while it is traveling upward (at point P in the figure (Figure 1)), what is the direction of acceleration (Figure 2)? The subject of norms comes up on many occasions in the . unfortunately you didn't realize that you dropped one penny on the floor while transferring them to the water. STT 4.6 Three forces act on a object. A t1>t2 c equal STT 2.4 An elevator is moving downward. C. 720 G Vectors : Magnitude of a vector 3D. . Which vector best represents With what initial speed must a ball be thrown straight up to reach the same max. Enter your answers using three significant figures separated by a comma. (Figure 1)A relief airplane is delivering a food package to a group of people stranded on a very small island. Five possible vectors are also shown in the figure; the letter E represents the zero vector. What is the diameter of this particular ferris wheel? What are the largest and smallest possible values for the magnitude of the resultant vector R=A+B? The island is too small for the plane to land on, and the only way to deliver the package is by dropping it. E <-30m/s. C they have the same number of atoms, StT 12.2 a sample of ideal gas law is in a sealed container. B 2.0 S You'll get a detailed solution from a subject matter expert that helps you learn core concepts. C 2.60 m/s b .89 kg C. The energy used while runner is greater, the power while running is greater. D. 1.4 KG, 12.34 D 2.0 M A wooden toy hangs from a spring, when you pull it down and release it, it reaches the highest point of its motion after 1 s. What is the frequency of its oscillation? STT 1 What is the length of the hypotenuse of this triangle? Which is a dust particle settling to the floor at constant speed . A or B? This is because When we talk about a unit vector, we are talking about a vector whose magnitude is 1 in a given direction. Notice, though, that this scheme has you think . Approx. $2\lambda + 3\mu = 4$. a. In one minute, the temperature of water rises by 20C. b 5.0 kg B. At T=1s what is the displacement y of the string at x=7cm? There may be more than one correct answer; if so, give all that are correct. of the package when it hits the ground? (average), calculate the velocity (magnitude) of the plane relative to the ground. D. Water at a temperature between 50C and 100C D 40 m/s, 16.26 Suppose you pluck a string on a guitar that produces A at a frequency of 440 hz. D. The energy used is the same for both segments, the power while running is greater. The mass of the truck is greater than the mass of the car. Ch 11.29 - A person is walking on level ground at constant speed. Using an input reference voltage of 2.5V2.5 \mathrm{~V}2.5V, determine the smallest incremental output voltage step. C 613 hz Which of the following changes would increase the range of the ball shown in the original figure? E stretch the string tighter to increase the tension. The maximum displacement of the string at that point is B decrease the temp of the ring and the rod, A increase the temp of the ring and the rod, STT 12.5 In figure 12.22 by comparing the slope of the graph during the time of liquid water is warming to the slope as steam is warming, we can say that A increase the temp of the ring and the rod B 6.4 cm/s (b) The orthogonal projection A of vector A onto the direction of vector B. Express your answer using two significant figures. B B+A-C Which of these are forces acting on the rock? ( is denoting linear span, here.) E 12.2 J If a second ball were dropped from rest from height ymax, how long would it take to reach the ground? A 3.7 m Why would a programmer want to overload operators rather than use regular member functions to perform similar operations? B F amy = f zach san diego high school basketball rankings 2022; hole in the wall trail; warlocks motorcycle club; . C. Increases by a factor of 2 To calculate the magnitude of force vectors, you use the components along with Pythagoras' theorem. Study with Quizlet and memorize flashcards containing terms like STT 1 What is the length of the hypotenuse of this triangle? STT 1.6 Using the information in figure 1.23 what is the distance to the nearest CM in the triangle at the right? At what height h C F Q on H = F H on Q , F P on W = F Q on P b 3.0 m The vector v has a magnitude of 3 and makes an angle of 30 = 6 with the positive x-axis.