Physics Homework Questions & Answers Archive

Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter DNE. Round your answers to one decimal place. Below, enter your answers so that angle B1 is larger than angle B2.) a=32, c=42, angle A = 33° angle B1 = square°, angle B2 = square° angle C1 = C2 = C2 = b° b1 = b2

Differentiate. h(θ)=θ^2 sin (θ) h'(θ)=

r(x)=-7x p(x)=x^2+8x q(x)=sqrt(9-x)

A ball is thrown vertically upward from the top of a building 128 feet tall with an initial velocity of 112 feet per second. The distance s (in feet) of the ball from the ground after t seconds is s=128+112t-16t^2. (a) After how many seconds does the ball strike the ground? (b) After how many seconds will the ball pass the top of the building on its way down?

You turn to the next task that you were assigned, where an object is moving at a constant speed of 3.4 meters per second (m / s). a. Find the distance d that the object as a function of the time spent moving, t. Call this function d(t). Use *, an asterisk, for any multiplication and /, a slash, for any division. d(t)=3.4 * t b. Find the inverse function by expressing the time spent moving, t, in terms of the distance moved, d. Call this function t(d). Use *, an asterisk, for any multiplication and /, a slash, for any division.

Concept Simulation 10.3 illustrates the concepts pertinent to this problem. A 0.47-kg object is attached to one end of a spring, as in the first drawing, and the system is set into simple harmonic motion. The displacement x of the object as a function of time is shown in the second drawing. With the aid of there data, determine (a) the amplitude A of the motion, (b) the angular frequency ω, (c) the spring constant k, (d) the speed of the object at t=1.0 s, and (e) the magnitude of the object's acceleration at t=1.0 s.

En una paleteria se pretenden preparar 300 paletas de agua, cada paleta tiene una masa de 55 g de agua y, estas se encuentran a 20°C y el refrigerador las congelará a -5°C, calcula la cantidad de calor cedido en calorias que será necesario reducir para que el agua se congele. Debes de tomar en cuenta las constantes dadas en la tabla, debes de escribir el resultado de las unidades como se representan en la tabla.

Question 3 4 pts The authors of the paper "Action-Video-Game Alters the Spatial Resolution of Vision," (Psychological Science[2007]:88-94) concluded that spatial resolution, an important aspect of vision, is improved by playing action video games. They based this conclusion on an experiment in which 32 volunteers who had not played action video games were "equally and randomly divided between the experimental and control groups." Subjects in each group played a video game for 30 hours over a period of 6 weeks. Those in the experimental group played Unreal Tournament 2004, an action video game. Those in the control group played Tetris, a game that does not require the user to process multiple objects at once. Based on this description of the experiment, which control is part of the experiment design? Check all that apply. a control group random assignment direct control blinding

The temperature of a sample of copper increased by 23.5°C when 269 J of heat was applied. What is the mass of the sample? Substance Specific heat J /(g · °C) ------ lead 0.128 silver 0.235 copper 0.385 iron 0.449 aluminum 0.903 m= g

A scuba diver experiences a pressure of 2.86 × 10^4 torr. Convert this pressure to atm. Be sure your answer has the correct number of significant figures.

Problem 3: (9% of Assignment Value) A pebble is dropped from rest from the top of a building. It takes Δt=3.29 s for it to reach the ground. Use the coordinate axes provide in the image. Part (a) What is the initial velocity, in meters per second, of the pebble? vi= m / s

Question 15 4 points Save Answer Suppose current is flowing in a wire from right to left. Which way do the electrons in the wire move? right to left left to right in circles It is impossible to tell.

Question 12 4 points Save Answer If three identical bulbs are connected in parallel across a 12-V battery, the voltage across each bulb will be 12 V . 36 V . 4 V . none of the above.

Microwave ovens emit microwave energy with a wavelength of 12.0 cm. What is the energy of exactly one photon of this microwave radiation? E =

In a performance test, each of two cars takes 9.7 s to accelerate from rest to 27 m / s. Car A has a mass of 1427 kg, and car B has a mass of 1898 kg. Find the net average force that acts on (a) car A and (b) car B during the test.

Now that we have established Newton's Second Law of Motion ( ΣF=m a) what will happen to a box if I push it with 10N? Remember to switch among the tabs on your PC. a) The 5 kg box will accelerate more than the 10 kg box b) The 5 kg box will accelerate the same as the 10 kg box c) The boxes will not accelerate d) The 5 kg box will accelerate less than the 10 kg box

Solve the following system by the elimination method -x-6y=1 -3x-4ixy=3

To demonstrate springs in a two-dimensional lattice, you build the apparatus shown below that is composed of 8 parallel chains of springs, with each chain containing 2 identical low-mass springs in series. At the top and bottom, the springs are attached to a lightweight rod. A mass of 10 kg is attached to the bottom rod. Relaxed, the distance d from the bottom to the top of the apparatus is 0.12 m . (The top of the apparatus is attached to the ceiling in the lab which is not shown.) Each of the 16 springs has a stiffness of 48 N / m. If you support the bottom of the apparatus at rest and if d=0.503 m, what is the magnitude of the force by your hand on the apparatus? Fhand = i N

A 2.2 -m-long steel rod must not stretch more than 1.2 mm when it is subjected to a 5.0-kN tension force. It is given that E= 200 GPa. Determine the smallest diameter rod that should be used. The smallest diameter rod that should be used is mm.

Question 2 1 pts 2 Ignoring air resistance, the velocity of a falling object is constant. is constantly increasing. increases for a while, then becomes constant. depends on the mass of the object. Question 3 1 pts

A woman with a mass of 60 kg runs at a speed of 6 m/s and jumps onto a giant skateboard with a mass of 40 kg. What is the combined speed of the woman and the skateboard?

A block with mass m1 hangs from a rope that is extended over an ideal pulley and attached to a second block with mass m2 that sits on a ledge slanted at an angle of 20° (see figure below). Suppose the system of blocks is initially held motionless and, when released, begins to accelerate. (a) If m1=7.25 kg, m2=3.00 kg, and the magnitude of the acceleration of the blocks is 0.170 m / s^2, find the magnitude of the kinetic frictional force between the second block and the ledge. (b) What is the value of the coefficient of kinetic friction between the block and the ledge?

Gases ideais são um modelo simplificado de gases que seguem as leis ideais da física. Sobre esse contexto, assinale a alternativa que completa corretamente a sentença abaixo. Quando urn gás ideal sofre uma expansão isotérmica Assinale a alternativa correta. A. o mesmo não troca energia na forma de calor com o meio exterior. B. o trabalho realizado pelo mesmo é igual à variação da energia interna do gás. C. a energia recebida pelo mesmo na forma de calor é igual à variação da energia interna do gás. D. o mesmo não troca energia na forma de trabalho com o meio exterior. E. a energia recebida pelo mesmo na forma de calor é igual ao trabalho realizado pelo gás na expansão.

Multiple Choice Question After the index is used to point to a possible code, the main text is read for which purpose? To verify the selection of the code To give additional information To give similar codes To give a cross-reference

As the block slides down the ramp, what happens to its kinetic energy K, potential energy U, and total mechanic K decreases; U increases; E stays the same K decreases; U increases; E increases K increases; U increases; E increases K increases; U decreases; E stays the same Using conservation of energy, find the speed vb of the block at the bottom of the ramp. Express your answer in terms of some or all the variables m, v, and h and any appropriate constants.

A scientist records the mass of a proton as . 0.0000000000000000000000016726231 gram Use a single digit times a power of 10 to estimate the mass.

Problem 6: (7% of Assignment Value) Circular turns of radius r in a race track are often banked at an angle θ to allow the cars to achieve higher speeds around the turns. Assume friction is not present, and use the coordinate system specified. - Part (a) v Find the y-component of the normal force FN on a car going around the turn in terms of the angle θ and the magnitude of the normal vector FN. FK, y=FN cos(θ) Correct! Part (b) Find the x-component of the normal force FN on a car going around the turn in terms of the angle θ and the magnitude of the normal vector FN. FN x x=

Derive following: yn(t)=c1 e^-3 t+c2 t e^-3 t

What is the initial velocity of the ball relative to the quarterback? (Assume downfield to be in the +x-direction. Enter the magnitude in m / s and the direction in degrees counterclockwise from the +x-axis.) magnitude 16.04 m / s direction 31.66 0° (counterclockwise from the +x-axis)

component of 4.1 × 10^-5 T

Differentiate. f(θ)=θ cos(θ) sin(θ) f′(θ)=

There is a horizontal shift square unit(s) -Select- square. There is a vertical shift square unit(s) square. Select all that apply. horizontal shrink vertical shrink vertical stretch reflection in the x-axis reflection in the y-axis

A bullet leaves a rifle with a muzzle velocity of 521 m / s. While accelerating through the barrel of the rifle, the bullet moves a distance of 0.740 m. Determine the acceleration of the bullet (assume a uniform acceleration).

For ideal gases, the molecules themselves will have no volume, which is one assumption of the ideal gas law.

Sharing The two objects in the figure are balanced on the pivot. (Figure 1) Part A What is distance d? Express your answer in meters. d= m

Determine whether the following statements are true and give an explanation or counterexample. d. If lim(x -> a) f(x) = ∞ or lim(x -> a) f(x) = -∞, then lim(x -> a) f(x) does not exist. Is this statement true?

Write the equation of the sphere in standard form. x^2+y^2+z^2+6x-2y-4z=11 Find its center and radius. center (x, y, z)=() radius

Mrs. Isaac comes to the emergency department complaining of difficulty breathing. An objective finding of dyspnea might include: Use of accessory muscles of respiration

Step 2 of 2: Determine the domain and range of the graph.

Graph the equation -5x-2y=-11 by plotting points using the line tool.

21 of 30 Concepts completed Multiple Cholce Questlon In the dark, what do pupils do? Dilate Close completely Constrict Need help? Review these concept resources. Rate your confidence to submit your answer. 2024 MCGre Search

For the graph of a function y=f(x) shown to the right, find the absolute maximum and the absolute minimum, if they exist. Identify any local maxima or local minima. Select the correct answer below and, if necessary, fill in the answer boxes to complete your choice. A. The absolute maximum of y=f(x) is f()= . (Type integers or simplified fractions.) B. There is no absolute maximum for y=f(x). Select the correct answer below and, if necessary, fill in the answer boxes to complete your choice. A. The absolute minimum of y=f(x) is f()= (Type integers or simplified fractions.) . B. There is no absolute minimum for y=f(x).

Un projectile est lancé d'une hauteur de 2 mètres avec une vitesse initiale v0 exprimée en m . s^-1. On néglige les frottements de l'air. Le projectile n'est soumis qu'à la force de son poids. La hauteur du projectile, en mètre, est modélisée par la fonction h définie sur [0 ;+infty[ par : h(t)=-1/2 g t^2+v0 t+2, où t est la durée exprimée en secondes et g l'intensité de la pesanteur terrestre. On prendra g=10 m . s^-2. 1. Déterminer la hauteur maximale atteinte par le projectile en fonction de v0. 2. À quel(s) instant(s), au cours de sa trajectoire, le projectile se trouve-t-il à une hauteur de 2 m ? On exprimera les solutions en fonction de v0. 3. On suppose que v0=10 m . s^-1. Calculer l'instant où le projectile touche le sol. On donnera la valeur approchée au dixième. 4. Déterminer la durée pendant laquelle le projectile reste à une hauteur supérieure ou égale à 5 m . On arrondira au dixième.

A projectile is launched horizontally off a cliff of known height h with speed v0 and reaches the ground a time t after being launched. Another identical projectile is launched horizontally off the same cliff with speed 2v0. How long does it take the second projectile to reach the ground? A t/2 (B) t (C) 2t (D) 4t

Graph the function and its parent function. Then describe the transformation. g(x) = 1/2(x+2)^2 + 3 a. The graph of g is a translation 2 units right, a vertical shrink, and a translation 3 units down of the parent quadratic function. b. The graph of g is a translation 2 units right, a vertical shrink, and a translation 3 units up of the parent quadratic function. c. The graph of g is a translation 2 units

A heavy truck hits a small car. At any given time during the impact, the force the truck exerts on the car is larger than the force the car exerts on the truck. the force the truck exerts on the car is smaller than the force the car exerts on the truck. the force the truck exerts on the car is equal to the force the car exerts on the truck. the only force present is the force of the truck on the car.

A cylinder measuring 6.5 cm wide and 7.8 cm high is filled with gas and the piston pushed down with a steady force. Calculate the force on the piston if the pressure in the gas is measured to be 585 kPa. Write your answer in units of kilonewtons. Be sure your answer has the correct number of significant digits.

In a deck of cards, there are 52 cards split evenly between red suits (hearts and diamonds) and black suits (clubs and spades). In each suit, there are cards numbered 2 through 10, a jack, a queen, a king and an ace. What is the probability of selecting two spades in a row? a) 7.2 % b) 6.5 % c) 6.3 % d) 5.9 % e) 5.8 %

Si la recta 2ax - 7y + a - 2 = 0 pasa por el punto (1,-2), entonces a es igual a: A) -4 B) 2 C) 4 D) -2

A rocket is launched vertically from rest on a launch pad with a constant acceleration of 2.5 m / s^2. After 20 seconds the rocket motor is shut off. Determine: a) The height of the rocket when the engine is shut off. b) The velocity of the rocket when the engine shuts off. c) The velocity and acceleration of the rocket when it reaches its maximum height. d) The maximum height the rocket will attain. e) The total time the rocket is in the air when it hits the ground.

Fluid Mechanics Mars has a mass of 6.42 * 10^23 kg, and a radius of 3.40 * 10^6 m. What is the average density of Mars? (Unit = kg / m^3 )

2x+1 ; x=-3

Vektor A dan B berada di bidang xy. Vektor A mempunyai besaran 8 satuan dan sudut 130°. Vektor B memiliki komponen Bx=-7,72 dan By=-9,20. Berapa sudut antara sumbu y negative dengan produk vektor dari A x B ? A. 30° B. 45° C. 70° D. 90°

What shape is the Earth's orbit around the Sun? an ellipse that is almost circular a circle an ellipse that is elongated a spiral

The scatter plot shows the years of experience and the amount charged per hour by each of 21 dog sitters in Michigan. Also shown is the line of best fit for the data. Fill in the blanks below. Amount charged ( in dollars per hour ) (a) For these 21 dog sitters, as experience increases, the amount charged tends to (Choose one) (b) For these 21 dog sitters, there is (Choose one) correlation between experience and amount charged. (c) Using the line of best fit, we would predict that a dog sitter with 7 years of experience would charge approximately

A function is given by a formula. Determine whether it is one-to-one. g(x)=cos(x) Yes, it is one-to-one. No, it is not one-to-one.

Look at this shape: 1 Which image shows a translation?

A car travels due east with a speed of 44.0 km/h. Raindrops are falling at a constant speed vertically with respect to the Earth. The traces of the rain on the side windows of the car make an angle of 62.0° with the vertical. Find the speed of the rain (in km/h) with respect to the car and the Earth. (a) the car km/h (b) the Earth km/h

An object is dropped and freely falls to the ground with an acceleration of 1 g . If it is thrown upward at angle instead, its acceleration will be Select one: A. larger than 1 g . B. 0 g . C. 1 g upward. D. 1 g downward. E. none of these

An airplane flying overhead drops a care package directly over Mike at rest in his Corvette. Neglecting air resistance, the package will land Select one: A. Well ahead of Mike and his Corvette. B. behind Mike. C. upon Mike and his Corvette.

Substance: Hydrogen, H₂ Physical State: Gas Color: Colorless Element or Compound: Select an answer

If f(x)=3 sqrt(x+2) sin (πx+1), find f'(x). DO NOT simplify.

Find the total current (in amps) in the parallel circuit. (Enter your answer as a simplified mixed number.)

What kind of collision, elastic or inelastic, occurs when a large fish swallows a small fish at rest?

Determine the magnitude of the projected component of the force F along the cable AC Express your answer to three significant figures and include the appropriate units. FAC= Value Units

Polynomial and Rational Functions Finding the maximum or minimum of a quadratic function Answer the questions below about the quadratic function. f(x)=3x^2+30x+74 Does the function have a minimum or maximum value? Minimum Maximum What is the function's minimum or maximum value? Where does the minimum or maximum value occur? x=

A turtle's velocity changes from v1=1.0 mm / s at Theta=0° to v2=1.2 mm / s at Theta=20°. What is the change in the turtle's velocity? Give the answer in component form (Δvx, Δvy).

Sketch a graph of f and use it to make a conjecture about the values of f(a), lim x→a* f(x), lim x→a+ f(x), and lim x→a f(x), or state if they do not exist. f(x) = (x^2-100)/(x+10), a = -10 Make a conjecture about the value of f(-10). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The value of f(-10) = (Type an integer or a decimal) B. The value of f(-10) does not exist. Make a conjecture about the value of lim x→-10° 100. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The limit exists. lim x→-10° (x^2-100)/(x+10) = (Type an integer or a decimal) B. The limit does not exist.

lim as x approaches 0 of (sin^2(x) + sec(x))

Find the equation of the line. Through (12,-13); perpendicular to y=10. The equation is . (Type your answer in standard form, using integer coefficients with A ≥ 0.)

Question 37 A gas is at 35.0°C and 2.50 L. What is the temperature of the gas if the volume is increased to 5.00 L? (A) 65.0°C (B) 615°C (C) 17.5°C (D) 343°C (E) 1.16°C

If (a, b, c) are the sides of a triangle and (A, B, C) are the opposite angles, find (partial A / partial a, partial A / partial b, partial A / partial c) by implicit differentiation of the Law of Cosines. (partial A / partial a=) (partial A / partial b=) (partial A / partial c=)

What is the magnitude of the electric field at the point (6.60 i - 5.20 j + 4.20 k) m if the electric potential is given by V = 8.80 xyz^2, where V is in volts and x, y, and z are in meters?

Let's define a new type of acceleration. Instead of measuring how much the velocity changes per unit time, let's study how much it changes per unit distance. So define A=dv/dx. We'll still use lowercase a to represent the usual acceleration, a=dv/dt, but uppercase A is this new 'spatial acceleration.' a) What are the units of A?

1. The smoke plume from the West Coast forest fires of 2020 stretches 50,000 ft up from the surface of the earth. a. Use the measurements for each level of the atmosphere shown on the y-axis in km on this NASA graph to identify which layer of the atmosphere the smoke level has reached (troposphere, stratosphere, etc.). Show your calculations to back up your conclusion. b. If the Earth's atmosphere extends 3.0 x 10^2 miles up, how many ft would the plume need to reach to leave the atmosphere?

Problem 7: (11% of Assignment Value) A thin plastic rod of length d=2.4 m lies along the x-axis with its midpoint at the origin. The rod carries a uniform charge density of λ=8.5 nC / m. The point P is located along the y-axis at (0, y=25 cm). Part (a) Enter an expression for the electric potential at point P due to a small segment of the rod, of thickness d x, located at (x, 0). Give a symbolic answer in terms of λ, x, d x, y, and the Coulomb constant ke. d V= Part (b) Using the expression you entered in part (a), choose the correct limits for the integral that will give the electric potential at P. Part (c) Calculate the electric potential at P, in volts.

Find acceleration Horizontal and Vertical

Multiple Choice Question Why is it important to study prehistoric earthquakes? Modern earthquakes are all much smaller than prehistoric earthquakes and cannot provide details about larger seismic events. We can determine the recurrence intervals and likely size of earthquakes to help people create a regional plan for future seismic events. There are no modern earthquakes to study, so prehistoric earthquakes are the only ones that may provide data to scientists. They provide the most accurate data from seismometers and therefore the best seismographs.

Question 5 1 pts In the following nuclear equation, the unidentified type of radiation represented by a question mark is: ^2813 Al -> ^2814 Si + ? 2^4 He ^0-1 e ^0+1 e gamma ray ^1^n n

The activation energy for a decomposition reaction is 189 kJ/mol. The rate constant at 563 K is 3.52 x 10^-7 L/mol·s. What is the rate constant at 643 K? HOW DO WE GET THERE? ln (k2/k1)=5.02 Now solve for k2/k1

QUESTION 25 The units of momentum are . Kg m / s N kg-m / s N-m

What is the tension in the lower cord? Express your answer with the appropriate units. What is the speed of the block? Express your answer with the appropriate units.

Ohm's law is often written in the form I=E/R where I is the current in amperes (A), E is the voltage, and R is the resistance in ohms. What is the voltage necessary to push a 0.70 -A current through a resistance of 420 ohms? The voltage necessary to push a 0.70 -A current through a resistance of 420 ohms is volts.

Of the following, the electromagnetic wave with the lowest energy is (A) x rays. (B) ultraviolet light. (C) infrared light. (D) radio wave.

Compared to a lens with a short focal length, a lens with a long focal length has (A) a smaller power. (B) a larger power. (C) the same power. A pencil is placed in a glass of water. The pencil appears to be bent. This is an example of

If the tension in the string is equal to 2W when the stone is at its lowest point, then the tension when the stone is at the highest point will be 2W W 4W. 0.

A satellite going around the earth has an altitude (height above the earth's surface) of 3.5 × 10^6 m. How long would it take this satellite to go one full revolution around the earth? Remember, earth has a radius of 6.37 × 10^6 m and a mass of 6 × 10^24 kg. 0.007 hr 2.7 hr 6300 hr 24 hr 0.57 hr

Determine the slope of a line perpendicular to the line given below. y=-5x/6+6

A ball is launched upward from the ground with initial velocity of 14 m / s and reaches height h above the ground before falling back down. Take the upward direction to be positive. Refer to the figure. Neglect air resistance. - Part (a) What is the acceleration, in meters per second squared, of the ball when it is in the air? a=-9.800 m / s^2 - Part (b) What is the velocity of the ball, in meters per second, when it reaches the top, or highest point, of its trajectory? Yp=0.000 m / s - Part (c) Enter an expression for the height of the ball as a function of time in terms of the initial velocity y1 and the acceleration a and the elapsed time r. h(t)=v1 t+1 / 2 a t^2 - Part (d) What is the maximum height the ball reaches in meters? hmix=1000 m Part (e) Enter an expression for the elapsed time it takes for the ball to travel from the ground to a given height in terms of the initial velocity vi, the velocity the ball has at that height m, and the acceleration a. Δt=

Just as there are simultaneous algebraic equations (where a pair of numbers have to satisfy a pair of equations) there are systems of differential equations, (where a pair of functions have to satisfy a pair of differential equations). Indicate which pairs of functions satisfy this system. It will take some time to make all of the calculations. y₁' = 5/2 y₁ - 3/2 y₂ y₂' = -3/2 y₁ + 5/2 y₂ A. y₁=e^(-x) y₂=e^(-x) B. y₁=2 e^(-2 x) y₂=3 e^(-2 x) C. y₁=e^(x) y₂=e^(x) D. y₁=sin(x) y₂=cos(x) E. y₁=sin(x)+cos(x) y₂=cos(x)-sin(x) E. y₁=cos(x) y₂=-sin(x) G. y₁=e^(4 x) y₂=-e^(4 x) As you can see, finding all of the solutions, particularly of a system of equations, can be complicated and time consuming. It helps greatly if we study the structure of the family of solutions to the equations. Then if we find a few solutions will be able to predict the rest of the solutions using the structure of the family of solutions.

Defined by magnitude (speed) and direction.

At a particular height in the atmosphere, an air parcel has a temperature of 15°C, while the environmental temperature is 18°C. Based on these temperatures, the atmosphere at this height is: unstable stable

An object moves 30 m to the right while experiencing an acceleration. If its acceleration was 3 m / s^2 and its initial velocity was 10 m / s, what was the final velocity?

Position three pulleys at the angles assigned for F1, F2 and the equilibrant force FE, exp = -FR of 3 and recorded in Table 1, and attach the masses corresponding to these forces to the ends of the strings passing over these pulleys. Add the force, F3, to the proper position and record its magnitude and position in Table 9. Determine the uncertainties δm and δθ by making an adjustment to the mass and the angle, respectively, until the ring shifts, but doesn't touch the pin, then calculate the uncertainty δF by using Eq. (5) and record all these values in Table 9. Write your result in the box below in the form F3 ± δF (in N) at θ3 ± δθ (in degrees) Compare the experimental and theoretical values for the F3 clearly stating the quantitative value you are comparing.

The solar constant is: 1366 W/m2

Graphs and Functions Finding, evaluating, and interpreting an inverse function for a given linea... 3,5 Tara Scientists have found a relationship between the temperature and the height above a distant planet's surface. T(h), given below, is the temperature in Celsius Español at a height of h kilometers above the planet's surface. The relationship is as follows. T(h) = 30.5 - 2.5h Complete the following statements. Let T^-1 be the inverse function of T. Take x to be an output of the function T. That is, x = T(h) and h = T^-1(x). (a) Which statement best describes T^-1(x) ? The temperature (in degrees Celsius) at a height of x kilometers. The ratio of the temperature (in degrees Celsius) to the number of kilometers, x. The reciprocal of the temperature (in degrees Celsius) at a height of x kilometers. The height above the surface (in kilometers) when the temperature is x degrees Celsius. (b) T^-1(x) = (x - 30.5) / 2.5 (c) T^-1(15) = 6.2

For a data set of brain volumes (cm^3) and IQ scores of nine males, the linear correlation coefficient is found and the P-value is 0.238. Write a statement that interprets the P-value and includes a conclusion about linear correlation.

This is passing a basketball. u=10 m / s. θ =41°. Then H= cm.

Supercooled water droplets are the primary cause of aircraft Icing. And they can form at between 0°C and -40°C

A demand curve that is completely elastic is Downward-sloping. Horizontal. Vertical. Upward-sloping.

Drag the red and blue dots along the x-axis and y-axis to graph 9x-6y=36.

Calculate the effective resistance (in ohm) of following combination: 30 Ω 12 Ω 50 Ω 49 Ω

Let T: ℝ² → ℝ² be the linear transformation that first rotates points clockwise through 45° ( π / 4 radians) and then reflects points through the line y=x. Find the standard matrix A for T. A=[ square square square square ]

Two capacitors (C₁=6.00 μF and C₂=16.0 μF) are now connected in series and to a 9.00-V battery. (a) Find the equivalent capacitance of the combination. □ μF (b) Find the potential difference across each capacitor. v₁=□ V v₂=□ V (c) Find the charge on each capacitor. Q₁=□ μC Q₂=□ μC

For the following function g(x), determine the value of each limit. If it does not exist, indicate that with DNE. a) lim x -> 2 g(x)= b) lim x -> 0 g(x)= Select the answer choice with the correct answer for parts (a) and (b).

What is the proper sequence of types of radiation from lower to higher energy? radio, ultraviolet, infrared, visible, x-ray ultraviolet, radio, x-ray, infrared, visible radio, infrared, visible, ultraviolet, x-ray x-ray visible, ultraviolet, radio, infrared x-ray, ultraviolet, visible, infrared, radio According to Planck's equation, if you decrease the temperature of the emitting body, the peak/most intense wavelength of radiation will shift to (longer/shorter) wavelengths that contain (more/less) energy. shorter, less shorter, more longer, less longer, more

In the diagram at right, A is the center of the circle and CD ⊥ AB. We are given that angle ACD = 2 angle DCB. (a) Let angle DCB = x. Find expressions for angle ABC and angle BAC in terms of x. (b) Find angle ABC.

The table shows the position of a motorcyclist after accelerating from rest. t (seconds) 0 1 2 3 4 5 6 s (feet) 0 4.9 10.6 23.1 50.2 109.3 237.9 (a) Find the average velocity (in ft/s) for each time period. (i) [2,4] (ii) [3,4] (iii) [4,5] (iv) [4,6] (b) Plot the points in the table to create a graph of s as a function of t to estimate the instantaneous velocity (in ft/s) when t=3. (Round your answer to one decimal place.)

Electricity can be produced in number of ways, the f each of these methods with the correct characterist Mechanical stress produces electric polarization

A hockey puck is sliding at 2.8 m/s at an angle of 32° from the positive x-axis as shown. What is the y component of the velocity of the hockey puck? Enter your answer in m/s. Always enter just the number. Use the same significant figures as given in the problem statement, or at most one more. If you are unsure about significant figures, please see the course web page.

Find volume by rotating a region bounded by (y=frac21+cos x) on ([0, fracpi6]) about (x)-axis.

A line is perpendicular to (y=2 x-7) What is the slope of the perpendicular line? (-1 / 2)

From the following, select all statements that are true. There may be more than one correct answer. A. If x is not in a subspace W, then x-projw(x) is not zero. B. In a QR factorization, say A=QR (when A has linearly independent columns), the columns of Q form an orthonormal basis for the column space of A. C. If W=Spanv1, v2, v3, and if v1, v2, v3 is an orthogonal set in W, then v1, v2, v3 is an orthonormal basis for W. D. None of the above.

Triangle PQR was transformed to create the congruent triangle STU. Which describes how triangle PQR could have been transformed? reflected across the y-axis and dilated by a scale factor of 1/2 dilated by a scale factor of 2 and translated 3 units to the right translated 2 units down and dilated by a scale factor of 3/2 rotated 90° about the origin and reflected across the x-axis

Employing supernode/nodal analysis techniques as appropriate, determine the power dissipated by the 1 Ω resistor in the circuit of Fig. 4.51.

Decide whether the random variable x is discrete or continuous. Explain your reasoning. Let x represent the amount of rain (in inches) that fell this spring. Is the random variable x discrete or continuous? Choose the correct answer below. A. Continuous, because x is a random variable that cannot be counted. B. Discrete, because x is a random variable that can be counted.

Find the slope of the line, if it is defined. Through (-10,-8) and (-1,3) Write the expression that can be used to find the slope.

Which of the following is another name for a firewall that performs router functions? Dual-homed gateway Screening router Screened subnet Screened-host gateway

Find the orthogonal projection of v = [ 15, -14, 8, -20 ] onto the subspace V of R^4 spanned by x1 = [ -3, -2, 1, -1 ] and x2 = [ 2, 5, 16, 0 ]

Find the missing value. Round to the nearest hundredth if needed. 84 wks = hr

Solve the following formula for the indicated variable. m = g = v / sqrt(m)

To test for any significant difference in the number of hours between breakdowns for four machines, the following data were obtained. Machine 1 Machine 2 Machine 3 Machine 4 ------------ 6.7 8.8 10.9 9.9 8.0 7.5 10.0 12.8 5.6 9.5 9.5 12.0 7.7 10.3 9.9 10.7 8.8 9.2 8.8 11.3 7.6 9.9 8.5 11.7 (a) At the α=0.05 level of significance, what is the difference, if any, in the population mean times among the four machines? State the null and alternative hypotheses. H0: μ1=μ2=μ3=μ4 Ha: Not all the population means are equal. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. - Do not reject H0. There is sufficient evidence to conclude that the mean time between breakdowns is not the same for the four machines. - Reject H0. There is sufficient evidence to conclude that the mean time between breakdowns is not the same for the four machines. - Do not reject H0. There is not sufficient evidence to conclude that the mean time between breakdowns is not the same for the four machines. - Reject H0. There is not sufficient evidence to conclude that the mean time between breakdowns is not the same for the four machines. (b) Use Fisher's LSD procedure to test for the equality of the means for machines 2 and 4. Use a 0.05 level of significance. Find the value of LSD. (Round your answer to two decimal places.) LSD= Find the pairwise absolute difference between sample means for machines 2 and 4. mean2-mean4 What conclusion can you draw after carrying out this test? - There is a significant difference between the means for machines 2 and 4. - There is not a significant difference between the means for machines 2 and 4.

The reform reaction between steam and gaseous methane (CH₄) produces "synthesis gas," a mixture of carbon monoxide gas and dihydrogen gas. Synthesis gas is one of the most widely used industrial chemicals, and is the major industrial source of hydrogen. Suppose a chemical engineer studying a new catalyst for the reform reaction finds that 663 liters per second of methane are consumed when the reaction is run at 216 °C and the methane is supplied at 0.21 atm. Calculate the rate at which dihydrogen is being produced. Give your answer in kilograms per second. Round your answer to 2 significant digits. kg/s

Due date 9/30/24 3:35 PM PDF w/o expl 9. Cube Density 0210 pts possible The mass of a solid cube is 1230 g, and each edge has a length of 5.69 cm. Find the density of the cube. Answer in units of kg / m^3.

If the mean of a random variable X is 55, what will be the mean of the sampling distribution of the sample mean? μx̄ = □

Use the given conditions to write an equation for the line in point-slope form and slope-intercept form. Passing through (-4,-7) and (1,3) What is the equation of the line in point-slope form? (Simplify your answer. Use integers or fractions for any numbers in the equation.)

A projectile is fired up and to the right at an angle θ(θ ≠ 0° θ ≠ 90°). Identify the directions of the forces listed below that are acting on the projectile when it is at the peak. Gravity ( FG ): -Select- Air drag (Fd) : -Select- Normal force ( FN ): -Select- Kinetic friction (Fk) : -Select- Static friction (Fs) : - Select- Tension (FT) : -Select- Spring force ( Fsp ): -Select-

Forces and Newton's Laws - Directed Reading for Content Mastery 1 of 1

y=4 * sin(2x)-2 for 0 ≤ x ≤ 2π

Suppose a monkey weighs 103 N and the vine supporting her pulls upward with a force of 120 N . Part A What is the net force on the monkey? Express your answer to two significant figures. 17 N Submit Previous Answers Correct Part B Describe her motion. The monkey moves upward with a constant speed while the force acts. The monkey accelerates upward while the force acts. The monkey accelerates downward while the force acts. The monkey moves downward with a constant speed while the force acts. Submit Request Answer

Graph the exponential function (y=7^x).

Two projectiles are launched from the ground simultaneously with an initial velocity 2.00 m / s. The first projectile is sent off at an angle of 16 with respect to the horizontal, and the second at an angle of 74. Which projectile lands on the ground in a region between 0.20 m and 0.23 m from the launcher?

Un cuerpo de masa M se desliza sobre un plano inclinado de ángulo θ, a lo largo de una distancia s. Si el coeficiente de fricción cinético entre el plano y el cuerpo es μk, la variación de energía interna del sistema cuerpo+plano es:

angle 6 congruent to angle 7

A block of mass 1.9 kg is attached to a horizontal spring that has a force constant 900 N/m as shown in the figure below. The spring is compressed 2.0 cm and is then released from rest. (a) A constant friction force of 4.1 N retards the block's motion from the moment it is released. How much is the spring compressed when the speed of the block is a maximum. cm (b) What is the maximum speed? cm/s

Test the equation for symmetry. (Select all that apply.) x=3 y^4-8 y^2 The graph of the equation is symmetric with respect to the x-axis. The graph of the equation is symmetric with respect to the y-axis. The graph of the equation is symmetric with respect to the origin.

A bicycle racer sprints near the end of a race to clinch a victory. The racer has an initial velocity of 10.95 m / s and accelerates at the rate of 0.55 m / s^2 for 5.5 s to accomplish this. What is his final velocity, in meters per second, after this period of acceleration? The racer continues at this velocity to the finish line. If he was 325 m from the finish line when he started to accelerate, how much less time did it take him to finish than if he had not accelerated? One other racer was 6.5 m ahead when the winner started to accelerate, but was too tired to speed up and traveled at 11.6 m / s until the finish line. If the winner continues to cycle at the same speed after crossing the finish line (to celebrate his victory), how far ahead of the loser will the winner be, in meters, when the loser finishes?

The following table shows the wind chill C(T, w) (in °F) as a function of the air temperature T (in °F) and the wind speed w (in miles per hour) according to the current National Weather Service model. 5 10 15 20 25 30 35 ------------------------ 40 36 34 32 30 29 28 28 35 31 27 25 24 23 22 21 30 25 21 19 17 16 15 14 T 19 15 13 11 9 8 7 25 13 9 6 4 3 1 0 15 7 3 0 -2 -4 -5 -7 10 1 -4 -7 -9 -11-12-14 There are three ways to estimate a partial derivative from a table of values, the forward difference quotient (for example, fx(a, b) approximates (f(a+h, b)-f(a, b))/h with h>0), the backward difference quotient (for example, fx(a, b) approximates (f(a, b)-f(a-h, b))/h with h>0), and the symmetric difference quotient (for example, fz(a, b) approximates (f(a+h, b)-f(a-h, b))/(2 h) with h>0). The symmetric difference quotient is just the average of the forward and backward difference quotients. The forward difference quotient approximation to CT(15,25) is °F / °F. The backward difference quotient approximation to CT(15,25) is °F / °F. The symmetric difference quotient approximation to CT(15,25) is °F / °F. The forward difference quotient approximation to Cw(15,25) is -0.2 °F / mph. The backward difference quotient approximation to Cw(15,25) is -0.4 °F / mph. The symmetric difference quotient approximation to Cw(15,25) is °F / mph. The National Weather Service has also provided an empirical formula for approximating the wind chill. It states that C(T, w) approximates 35.74+0.6215 T+w^(0.10)(-35.75+0.4275 T) Based on this formula, CT(15,25) approximates °F / °F and Cw(15,25) approximates °F / mph.

Which of the following is the BEST example of increasing the intensity of a workout? A. running one mile further than normal B. running one mile faster than normal C. running one mile more every other workout D. jogging for three miles

What is the P(B)? Round to the 100ths place.

Solve for Amit lim (x -> -2) (x-5)/(6x^2-4x+8)

un → +∞, vn → -∞ e wn → 2 lim (un × vn) lim (wn/vn) lim (vn)^3 lim sqrt(1/un)

9) A 65-kg gymnast hangs from a pair of rings attached to ropes, as shown. In figure (i), the ropes are vertical. In figure (ii), the ropes make an angle of 55° with the ceiling. First for (i), and then repeat for (ii): a) Draw a FBD of the gymnast. b) Determine the components of each force vector from your FBD (in symbols). c) Determine the magnitude of the tension in the ropes. (i) (ii) (Solve in symbols, and then plug in numbers at the end.)

The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled by the function D(t)=5 cos (π/3 t+2π/3)+4 where t is the number of hours after midnight. Find the rate at which the depth is changing at 2 a.m. Round your answer to 4 decimal places. ft / hr

If the limit of f(x) as x approaches 5 from the right is greater than 0 and the limit of f(x) as x approaches 5 from the left is greater than 0, then the limit of f(x) as x approaches 5 is greater than 0.

When a lowercase r' is used in relation to a transistor, it refers to Select one: a. an external ac resistance b. an internal ac resistance c. a low resistance d. a wire resistance

Use the diagram below to determine which angle pairs are alternate exterior angles. (Select all that apply) 2 3 2 7 4 8 1 8 4 5

Evaporation is when a gas is converted into a liquid. True False

A ball has a kinetic energy of 4.50 kJ . If the ball has a mass of 120.0 g , how fast is the ball traveling, in meters per second?

O6XEN-E1 - Air Logic Quiz Question 10 of 10 An advantage of air logic over electrical control is that it . Is safe in places where electrical systems could cause fire or explosion Is less expensive for four or more relays Has a faster signal All of the above None of the above

Given the function (y=-frac14(x+3)^2-5), what is the vertex, focus, axis of symmetry and directrix?

A 0.200 kg stone whirled in a horizontal circle on the end of a 0.800-m-long string. The string makes an angle of 15.0° with the horizontal. Determine the speed v of the stone. v= m / s

The mandibular fossa is a feature of which of the following bones? Mandible Temporal bone Maxilla Zygomand bone Occipital bone

Bill's motorcycle can accelerate at 7.05 m / s^2 at a certain RPM and gear. How far, starting from rest, will Bill travel in the first 2.50 s?

Of the coast of Florida has been found fossil shark teeth that have belonged to tens of thousands of years extinct ancestor of the white shark. How old is a shark's tooth, when the concentration of the radioactive isotope carbon-14 has decreased to 20.7 percent of the original concentration of the radioactive isotope carbon-14 from the living organism? The half-life of the radioactive isotope carbon-14 is about 5730 years. Answer tolerance limits have been set ± 1 a.

Off the coast of Florida has been found fossil shark teeth that have belonged to tens of thousands of years extinct ancestor of the white shark. How old is a shark's tooth, when the concentration of the radioactive isotope carbon-14 has decreased to 20.7 percent of the original concentration of the radioactive isotope carbon-14 from the living organism? The half-life of the radioactive isotope carbon14 is about 5730 years. Answer tolerancy limits have been set ± 1 a.

Use a calculator to find the value of the following expression rounded to two decimal places. cos^(-1)(11/13) / cos^(-1)(11/13) = square radian(s) (Type your answer in radians. Round to the nearest hundredth as needed.)

Classify the function as linear, quadratic, or exponential. f(x)=4^x The function is □

An activity of the radioactive sample was measured 29.1 kBq and after 38 days 21.2 kBq. Define the half-life of the radioactive sample. Answer tolerancy limits have been set ± 1 days. Attention! Radioactivity decreases exponentially. Half-life is the time required for a quantity (of substance) to reduce to half of its initial value.

The ages of the winners of a cycling tournament are approximately bell-shaped. The mean age is 27.4 years, with a standard deviation of 3.3 years. The winner in one recent year was 25 years old. (a) Transform the age to a z-score. (b) Interpret the results. (c) Determine whether the age is unusual.

The graph of f'', the second derivative of the continuous function f, is shown above on the interval [0,9]. On this interval f has only one critical point, which occurs at x=6. Which of the following statements is true about the function f on the interval [0,9]? A f has a relative minimum at x=6 but not an absolute minimum. (B) The absolute minimum of f is at x=6. C. f has a relative maximum at x=6 but not an absolute maximum. (D) The absolute maximum of f is at x=6.

(d) lim as x approaches 0 of 3 cos(3x) (e) lim as x approaches 0 of (4x^2) / (x^2 - 3x) (f) lim as t approaches 4 of (t^2 - 16) / (t - 4) (g) lim as t approaches 2 of (5t) / (t - 2) (h) lim as t approaches 4 of 1 / (t(t - 4))

In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 68.6 inches and a standard deviation of 4.0 inches. A study participant is randomly selected. Complete parts (a) through (d) below. (a) Find the probability that a study participant has a height that is less than 68 inches. The probability that the study participant selected at random is less than 68 inches tall is (Round to four decimal places as needed.)

Why can it be misleading to give measurements with more precision than is justified by the measurement process? Choose the correct answer below. A. It is misleading because the measurement would be perceived to be closer to the true value than it actually is. B. It is misleading because the measurement would be perceived as having a greater amount of detail than it actually has. C. It is misleading because the measurement would be perceived as having a lesser amount of detail than it actually has. D. It is misleading because the measurement would be perceived to be further from the true value than it actually is.

x+2y-z=5 3x+2y+z=11 (x+2y)^2-z^2=15

A circle has a radius of √131 units and is centered at (0,-4.3). Write the equation of this circle.

"Chromium is a steel-gray solid" describes a: physical change chemical property chemical change physical property

What is the maximum speed (in m / s ) at which a car can round a corner with radius 25.0 m, if the coefficient of static friction between its tires and the road is 0.40?

A stereo speaker produces a pure "G" tone, with a frequency of 392 Hz. What is the period T of the sound wave produced by the speaker? T= s What is the wavelength λwater of the same sound wave as it enters some water, where it has a speed of about 1480 m / s ? λwater= m What is the wavelength λair of this sound wave as it travels through air with a speed of about 341 m / s ? λair= m

Homework: Chapter 3 A physics class has 40 students. Of these, 14 students are physics majors and a total of 18 students are minoring in math, including 6 students that are both majoring in physics and minoring in math. Find the probability that a randomly selected student is minoring in math or a physics major The probability that a randomly selected student is minoring in math or a physics major is (Round to three decimal places as needed.)

How does elevation affect average January temperature? The following data reports elevation in feet (x) and average January temperature in degrees Fahrenheit (y) for 10 US cities. (a) Calculate the correlation coefficient, r. Round answer to THREE decimal places. r= type your answer... (b) Does this correlation suggest there is a linear relation between elevation and average January temperature? (For the first answer blank, write Yes or No. For the second answer blank, write greater or less. For the third blank, write the appropriate critical value from Table II.) type your answer..., since the absolute value of the correlation coefficient is type your answer... than the critical value of type your answer.. (c) Find the equation of the regression line. Round slope and y-intercept to THREE decimal places. y= type your answer... x+ type your answer... (d) Use the regression equation to predict the value of y at x=7000 ft. Round answer to one decimal place, if appropriate. If you should not predict, write 'outside scope' in the answer blank. The predicted average January temperature for 7000 ft is type your answer... degrees Fahrenheit. (e) Use the regression equation to predict the value of y at x=800 ft. Round answer to one decimal place, if appropriate. If you should not predict, write 'outside scope' in the answer blank. The predicted average January temperature for 800 ft is type your answer... degrees Fahrenheit.

Ache a derivada utilizando a definição: (12 esc) a) f(t)=(2 t+1)/(t+3)

Follow the steps below to compute the improper integral [ int2^infty frac3x^2 d x ] a. Use the Fundamental Theorem of Calculus to compute a related proper integral: [ int2^R frac3x^2 d x= ] b. Take the limit as R → ∞ of the result to compute the improper integral. Use ∞ if appropriate. [ int2^infty frac3x^2 d x=lim R rightarrow infty int2^R frac3x^2 d x= ] c. Is this improper integral convergent (finite) or divergent (not finite)? This improper integral converges. This improper integral diverges.

Which step would most likely have the largest energy of activation? step 1 Step one Step two It cannot be determined from the information provided Step three

For the summer cottage will drilled a water well through the rock. The diameter of the circular drilling hole is 118 millimetres and the depth of the circular drilling hole is 214 metres. The mineral aggregate drilled from the hole will be applied evenly to the paths of the summer cottage which widths are 45 centimetres and total length is 42 metres. What is the thickness of the layer? Assuming that the volume of the circular drilling hole is equal with the volume of the mineral aggregate. Answer tolerancy limits have been set ± 1 mm.

B6-CRT02: ANGULAR VELOCITY-TIME GRAPH-ANGULAR ACCELERATION-TIME GRAPH Sketch an angular acceleration versus time graph given the angular velocity versus time graph shown for the same time interval. Explain your reasoning.

Which of the following is used against viral infections? Silfationite Agatoir Ahibemptaicol tetregatie Amphotericin B

You can use these measurement to express the velocity of the puck using component form. For example, if you measured the horizontal velocity as 25 cm/s and the vertical velocity as 50 cm/s, you could write the velocity of the puck like this: v x=25 cm/s v y=50 cm/s You can also express the velocity of the puck in angle-magnitude form. This means you state the magnitude, or amount of the quantity, as well as the direction expressed as an angle. In this case, the magnitude is the velocity in meters per second, and the direction is the angle θ in the image above. Here's how. - to find the magnitude, or amount, of the velocity, you can see from the drawing that the length of the velocity arrow is the hypotenuse of the triangle - Use the Pythagorean theorem to calculate the length of the hypotenuse: v=√(v x+v y^2) Make these calculations using the horizontal and vertical velocities you measured, and enter the value of the velocity here. cm/s

Question 7 10 pts A correlation of r=0.85 is found between weekly sales of firewood and cough drops over a 1-year period. Which of the following is a correct interpretation of this correlation value? - Fire must be the cause of coughing. - Temperature is a possible lurking variable that is behind this relationship. - There is a pretty strong positive linear relationship between sales of firewood and cough drops.

A conjecture and the flowchart proof used to prove the conjecture are shown. Given: S is the midpoint of R. U S ≅ R S Prove: △S T U is an isosceles triangle. Drag an expression or phrase to each box to complete the proof.

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