Answers created by David G.
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If there is no term in #x# in the expression #(1−2x)(1+ax)^5#, what is the value of #a#?
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A particle starts from rest with an acceleration of #2# #ms^-2# for #20# #s# and then comes to rest within next #20# #s# with retarding acceleration #2# #ms^-2#. How would you express the motion on a v t graph?
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How do you solve #8( x + 4) + 3( - 4x ) = 32#?
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How do you simplify #(- 2x ^ { 4} y ^ { 2} z ) ( 2x ^ { 2} y z ^ { 2} ) ^ { 2}#?
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The distance from the first to the fifth peak of a wave with a frequency of #90# #Hz# is #12.0# #m#. What is the velocity of the wave?
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The sum of two integers is #56#. If we subtract #6# from each of the integers, the larger answer divided by the smaller is #43#. What are the two integers?
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How do you solve #-4/(x-1)=7/(2-x)+3/(x+1)#?
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An artillery round accelerates from rest to #500# #ms^-1# in the #2.0# #m# barrel of a ship's gun. What is the acceleration of the round?
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How do you solve the system of equations #-x + 5y = - 15# and #6x + 5y = 20#?
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A car and a train leave the same point at the same moment. The car travels at #30# #kmh^-1# and the train at #40# #kmh^-1# at right angles to the direction the car travels. How far apart are the two vehicles after #6# minutes?
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Jenna has 6 scarfs that are each 2 feet long and another 6 that are each 9 inches long. What length of material does she have in total?
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How do you graph #3x-y=7#?
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Two objects have masses of #6# #MG# and #8# #MG#. How much does the gravitational potential energy between the objects change if the distance between them changes from #340# #m# to #160# #m#?
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How do you determine the intervals for which the function is increasing or decreasing given #f(x)=x^3+3x^2-9x#?
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Is it possible for a material to have a refractive index less than #1.000#?
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How do you solve #(3g+2)/12=g/2#?
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Two charges of # 5# # C # and # -1# # C# are positioned on a line at points # -2 # and # 1 #, respectively. What is the net force on a charge of # 1# #C# at # -1 #?
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Assume that the value of an automobile is inversely proportional to its age. If it is worth $3,000 when it is two years old, what is its value when it is six-years-old?
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How do you convert # -4 + 8i# to polar form?
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Question #0cba7
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How do you write 55.08 in scientific notation?
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How do you simplify #(3x^ 2a - 4y az ^3a) ^2 #?
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Juan hits a baseball. The equation #h=-16t^2+120t# models the height h, in feet, of the ball after t seconds. How long is the ball in the air?
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An experienced carpenter could build a house in 3 days. How much would he have finished if he worked for 2 days?
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How do you find the product #(2a-b)^3#?
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How do you solve #y=x^3 + 3x^2 - 6x # using the quadratic formula?
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A baseball of mass #0.141# #kg# is thrown at a speed of #70# #ms^-1# from a height of #2.4# #m#. How much energy was transferred between the bat and the ball?
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How do you solve #3x + \frac { 5} { 2} = 5x + \frac { 4} { 3}#?
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How do you solve #-4( 2+ 5a ) = 32#?
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An object travels North at #8# #ms^-1# for #9# #s# and then travels South at #5# #ms^-1# for #3# #s#. What are the object's average speed and velocity?
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What are the units of #k# in the expression #F=kv^n# (a) when #n=1# and (b) when #n=2#?
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An object is at rest at #(8 ,3 ,3 )# and constantly accelerates at a rate of #7/4 ms^-2# as it moves to point B. If point B is at #(6 ,3 ,4 )#, how long will it take for the object to reach point B? Assume that all coordinates are in meters.
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A system generated by a quadratic equation and a linear equation can have no solution, one solution, or two solutions. Explain how each possibility can occur. ?
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A number is the sum of the product of #9# and #2# and their difference. What is the number?
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How do you find the vertex of # y = 4x^2 – 6x – 3#?
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What is the frequency of radiation with a wavelength of #19.5# #cm#?
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How do you write an equation of the line that passes through (–3, –5) and (3, 0)?
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How do you solve #y^2-90=13y#?
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The x-intercept of a line with a gradient (slope) of #5/6# is #-3#. What is the equation of the line in slope-intercept form?
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How do you multiply #5m ^ { 7} n ^ { 2} p ^ { 6} \cdot 14m n ^ { 4} p ^ { 3}#?
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Find the equation of the line which is parallel to the line #3x+4y=1# and passes through the midpoint of the line segment joining #(1,2)# and #(-2,1)#. Find the distance of this line from the given line.?
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Question #4670b
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A typical yellow light has a wavelength of 550 nm. What is the corresponding frequency?
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A #1200# #kg# object moves #200# #m# at constant velocity in #20# #s#. It requires a driving force of #600# #N# to maintain this motion against friction and air resistance. What power is exerted by the driving force?
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A dart is thrown horizontally toward X at #25# #ms^-1# as shown in figure. It hits Y #0.12# #s# later. The distance XY is?
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An astronaut with a mass of #95# #kg# is floating in space. If the astronaut throws an object with a mass of #2# #kg# at a speed of #7/8# #ms^-1#, how much will his speed change by?
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How do you solve the system of equations #2x - 10y = 8# and #3x - 10y = 17#?
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What is the pH of a solution with [H+] = #2.3 times 10^-3#?
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A charge of #18# #C# passes through a circuit every #4# #s#. If the circuit can generate #36# # W# of power, what is the circuit's resistance?
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A charge of #7# #C# is at the origin. How much energy would be applied to or released from a # 5# # C# charge if it is moved from # (-5, 1 ) # to #(2 ,-1 ) #?
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A ball is projected with a horizontal velocity of #5.1# #ms^-1# at a height of #2.5 xx 10^2# #m#. How far does it travel before it hits the ground?
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If the units of #(A^2/(mass))# are #kgm^2s^-2#, what are the units of #A#?
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A projectile is fired straight upward from ground level with an initial velocity of #128# feet per second. At what instant will it be back at ground level? When will the height be less than #128# feet?
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How do we solve this? (x−6)(3x+4)
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An object's two dimensional velocity is given by #v(t) = ( 3t^2 - 2t , 1- 3t )#. What is the object's rate and direction of acceleration at #t=5 #?
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Uranium-235 has a half-life of 700 million years. How long does it take a 100-gram sample of Uranium-235 to decay to a mass of 50 grams?
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How do you multiply #(4x - 7) ( - 5x ^ { 2} - 7x + 8)#?
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An astronaut with a mass of #105# #kg# is floating in space. If the astronaut throws an object with a mass of #6# #kg# at a speed of #7/9# #ms^-1#, how much will his speed change by?
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What is the standard form of #y= (4x-4x^2)(3x-8) -(2x+3)^2#?
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An object travels North at # 7# #ms^-1# for #6# #s# and then travels South at # 3# # ms^-1# for # 7# # s#. What are the object's average speed and velocity?
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How many electrons form a covalent bond?
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An object with a mass of #14# # kg# is on a plane with an incline of # - pi/3 #. If it takes #12# # N# to start pushing the object down the plane and #7 # # N# to keep pushing it, what are the coefficients of static and kinetic friction?
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Question #7c81a
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The sum of the squares of two consecutive natural numbers is #365#. What are the two numbers?
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Question #c190a
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Question #f5c61
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A mixture of 30 pounds of candy sells for $1.10 a pound. The mixture consists of chocolates worth $1.50 a pound and chocolates worth 90 cents a pound. How many pounds of the $1.50 chocolate were used to make the mixture?
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How do you solve #3n + 15= 4-4n - 3#?
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What do we mean by the 'enthalpy' of a chemical bond? How does it help us to know whether a reaction will be endothermic (take in heat energy from the environment) or exothermic (release heat energy to the environment)?
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If a #2# #kg# object moving at #10# #ms^-1# slows to a halt after moving #25# #m#, what is the coefficient of kinetic friction of the surface that the object was moving over?
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The frequency of the middle F note on a piano is #349.23# #Hz#. What is the wavelength of this note in centimeters?
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How do you solve the system of equations #y= 2x - 7# and #x = 3y + 11#?
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A laser is thrown upward with a speed of #12# #ms^-1# on the surface of Planet X where the acceleration due to gravity is #1.5# #ms^-2# and there is no atmosphere. How long does it take for the laser to reach the maximum height?
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How do you simplify #(-2+3i)+(5-2i)#?
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An object with a mass of #2# # kg# is revolving around a point at a distance of #7# #m#. If the object is making revolutions at a frequency of #13# # Hz#, what is the centripetal force acting on the object?
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The Gravitron is a circular carnival ride that is 6.6m in radius and spins at a high rate of speed in order to simulate gravity. How would the radius need to change to allow the riders to experience 4g's at this new velocity?
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What is the mass of water that will fill #75%# of a #20# #L# bucket?
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Two conducting metal spheres, one originally having a charge of #+2Q# and the other a charge of #-Q#, are briefly touched together, and then separated again. What is the final charge on each sphere?
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How do you find a unit vector b perpendicular to another unit normal vector, which is #4/5hati + 2/5hatj - 3/5hatk#?
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How do you solve #e^ { 7x } = - 9e ^ { 2x }#?
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How do we find the standard equation of the circle with endpoints of a diameter #(1/2, 4)# #(3/2, -1)#?
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What is the equation of a circle, centred at the origin (the point #(0,0)#), with a radius of #2# #units#?
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Question #13733
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Acceleration is defined as the rate of change of velocity with time. If an object accelerates from #10# #ms^-1# to #20# #ms^-1# in #5# #s#, what is the magnitude of its acceleration?
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How much work would it take to horizontally accelerate an object with a mass of #4# #kg# to #3# #ms^-1# on a surface with a kinetic friction coefficient of #6#?
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If the molar mass of nylon is #10,000# #gmol^-1#, how many nylon molecules will there be in a #1.0# #kg# piece of nylon?
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What is the moment of inertia of a pendulum with a mass of #3# #kg# that is #5# #m# from the pivot?
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A marble has a mass of of kilograms. What is its approximate weight in kilograms?
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What are the gradient and y-intercept of the line #y=4x+3#? Graph the line.
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What is the oxidation number of #CR_2# in #(NH_4)_2Cr_2O_7#?
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If you double the speed of a vehicle how much does the force in a crash increase by?
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An object of mass #0.60# #kg# stretches a particular spring by #0.06# #m#, and a particular wooden block extends the same spring by #0.10# #m#. What is the mass of the wooden block? What is its weight?
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Hot air is blown into a balloon of mass 300 kg for it to descend at a constant acceleration of 3.0 ms^-2.
What is the lift force exerted by the hot air on the balloon?
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Why doesn't a skydiver land directly beneath the point where he or she jumps out of the plane?
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A particle is projected from the origin #(0,0)# in the #xy# plane at angle of #37^o# with the x axis with a speed of #10# #ms^-1#, its acceleration being #(-5 hati + 10 hatj)# #ms^-2#. What is the speed of the particle when the x-coordinate is again zero?
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How do you simplify #2/5+1/2#?
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Two towns are #145# #km# apart. A bus leaves one of the towns travelling at #60# #kmh^-1# toward the second town and a car leaves the second town travelling at #90# #kmh^-1# toward the first. How far apart are the bus and the car after half an hour?
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If a balloon has #-5 times 10^-7# #C# excess charge on it, how many electrons does it have?
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How do you graph the point (-2,4,4)?
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A spring with a constant of #9# #kgs^-2# is lying on the ground with one end attached to a wall. An object with a mass of #2# #kg# and speed of #12# #ms^-1# collides with and compresses the spring until it stops moving. How much will the spring compress?
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