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How do you normalize # (4i + 0j + 3k)#?

An object with a mass of #2 kg# is on a surface with a kinetic friction coefficient of # 9 #. How much force is necessary to accelerate the object horizontally at #6# #ms^2#?

What are the solutions of #x^2  2x + 9 = 0# in simplest #a + bi# form?

What is the slope intercept form of the line passing through #(1,1) # with a slope of #1 #?

A triangle has sides A, B, and C. The angle between sides A and B is #pi/4# and the angle between sides B and C is #pi/12#. If side B has a length of 15, what is the area of the triangle?

A sled traveling at a speed of #3.0# #ms^1# slows to a stop #4.0# #m# from the point where its passenger rolled off. What is the magnitude of the horizontal net force that slows the #110# #N# sled?

Circle A has a center at #(12 ,2 )# and an area of #13 pi#. Circle B has a center at #(3 ,6 )# and an area of #28 pi#. Do the circles overlap?

Water is flowing through a fire hose at a rate of #450# cubic centimetres per second. What is the total negative charge being carried by the electrons in the water, and what current is that flow of charge equivalent to?

An object is thrown vertically from a height of #5 m# at # 8 ms^1#. How long will it take for the object to hit the ground?

A projectile is shot from the ground at a velocity of #1 ms^1# at an angle of #pi/3#. How long will it take for the projectile to land?

Can you take the natural log of a negative number?

Triangle A has sides of lengths #27 #, #12 #, and #18 #. Triangle B is similar to triangle A and has a side of length #3 #. What are the possible lengths of the other two sides of triangle B?

If oxygen, #O_2#, effuses (spreads out) at a rate of #622.0# #ms^1# under certain conditions of temperature and pressure, how fast will methane, #CH_4#, effuse under the same conditions?

Alnico is a strongly magnetic alloy (solid mixture) of Co, Ni, Al and Fe. A 100.0 g sample of Alnico has 11.2g Al, 22.3g Ni, and 5.0g Co in it; the rest is Fe. How many moles of aluminum are there?

In which quadrant does #(10, 0)# lie?

What is the kinetic energy of an object with a mass of #7 kg# that has been in freefall for #12 s#?

What produces the light to make images on a television or computer screen?

How do you write an algebraic expression that models the word phrase "6 times a number increased by 3"?

What is the cross product of #<3,0,1># and #<3,6,4>#?

Given the mass and the velocity of an object in circular motion with radius #r#, how do we calculate the magnitude of the centripetal force, #F#?

A charge of #24 C# passes through a circuit every #6 s#. If the circuit can generate #8 W# of power, what is the circuit's resistance?

How do you write # 173,000 # in scientific notation?

How do we represent the complete combustion of #"octane"#, #C_8H_18(l)#?

An object is thrown vertically from a height of #12 m# at # 19 ms^1#. How long will it take for the object to hit the ground?

If an object is moving at #2# #ms^1# over a surface with a kinetic friction coefficient of #mu_k=8/g#, how far will the object continue to move?

A container with a volume of #5# #L# contains a gas with a temperature of #360# #K#. If the temperature of the gas changes to #120# #K# without any change in pressure, what must the container's new volume be?

How do you simplify #(y^3)(y^4)(y)#?

When chasing a hare along a flat stretch of ground, a greyhound leaps into the air at a speed of 24.48 km/hr, at an angle of 34.6°. How long is the dog in the air? How far does the dog jump? How high does the dog get?

How do you normalize #(  4 i  5 j + 2 k )#?

What is the unit vector that is orthogonal to the plane containing # (  5 i + 4 j  5 k) # and # (4 i + 4 j + 2 k) #?

On a 50 question test, a student answered 5 questions incorrectly. What percent did the student answer correctly?

The system in the figure below is in equilibrium, with the string in the center exactly horizontal. Block A weighs 37.0 N, block B weighs 47.0 N, and angle φ is 37.0˚. What are
(a) tension T1, (b) tension T2, (c) tension T3, and (d) angle θ. ?

A spring with a constant of #1 (kg)/s^2# is lying on the ground with one end attached to a wall. An object with a mass of #2 kg# and speed of #4 m/s# collides with and compresses the spring until it stops moving. How much will the spring compress?

An object with a mass of #7 kg# is hanging from a spring with a constant of #2 kgs^2#. If the spring is stretched by # 9 m#, what is the net force on the object?

What is the dot product of #<3,7,6 ># and #<4,1,7 >#?

#320# #g# of solid ammonium nitrite, #NH_4NO_2#, decomposes when heated according to the balanced equation: #NH_4NO_2 > N_2+2H_2O#. What total volume of gases at #819# #K# is emitted by this reaction?

Is it possible to add a scalar to a vector? Why or why not?

How do you simplify #(3+ isqrt2)/ (7isqrt2)#?

How do you graph #x^2+y^2=16#?

The point (1,8) is on a circle whose center is (2,6). What is the radius, equation, and what are the coordinates of the maximum point on the circle?

What is the distance between #(5, –1)# and #(3,7)#?

If a spring has a constant of #6# #kgs^2#, how much work will it take to extend the spring by #67# # cm #?

An object is thrown vertically from a height of #9 m# at #23 ms^1#. How long will it take for the object to hit the ground?

What is the average speed of an object that is moving at #8 ms^1# at #t=0# and accelerates at a rate of #a(t) =t4# on #t in [0,3]#?

What is the cross product of #<2 , 5 ,3 ># and #<3 ,5 ,2 >#?

A circuit with a resistance of #6 Omega# has a fuse that melts at #8 A#. Can a voltage of #42 V# be applied to the circuit without blowing the fuse?

How do you convert the polar coordinate ( 4.5541 , 1.2352 ) into cartesian coordinates?

The potential energy of an apple is 4.5 joules. The apple is 3.2 meters high. What is the mass of the apple?

An object has a mass of #6# #kg#. The object's kinetic energy uniformly changes from #88# #kJ# to # 48# #kJ# over #t in [0, 6 s]#. What is the average speed of the object?

A charge of #24 C# passes through a circuit every #6 s#. If the circuit can generate #8 W# of power, what is the circuit's resistance?

Objects A and B are at the origin. If object A moves to #(5, 1)# and object B moves to #(7, 8)# over #3# #s#, what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.

How do you simplify #(3+i) + (4+6i) #?

A ball with a mass of #7# #kg# moving at #14# #ms^1# hits a still ball with a mass of #15# #kg#. If the first ball stops moving, how fast is the second ball moving?

What is the orthocenter of a triangle with corners at #(9 , 5 )#, #(3 , 8 )#, and #(5 ,6 )#?

Newton's Law says that for every action force there is a reaction force of the same magnitude in the opposite direction. If this is true, how can a child pull a wagon? Won't the wagon pull back just as hard?

What is the standard form of #y= (x2) (x+3) #?

A ball with a mass of #12# #kg# moving at #8# #ms^1# hits a still ball with a mass of #20# #kg#. If the first ball stops moving, how fast is the second ball moving? How much kinetic energy was lost as heat in the collision?

How do you convert #(2,2)# into polar coordinates?

If #F_N = 25N# and #mu_k=.13#, what is kinetic friction?

How much work would it take to horizontally accelerate an object with a mass of #2 kg# to #9 ms^1# on a surface with a kinetic friction coefficient of #1 #?

An object with a mass of #5# #kg# is revolving around a point at a distance of #3# #m#. If the object is making revolutions at a frequency of #13# #Hz#, what is the centripetal force acting on the object?

How many covalent bonds does nitrogen form in electrically neutral compounds?

What is the equation of a circle with radius 9 and center (2,3)?

How do you write the equation in point slope form given Point: #(5, 9)#; Slope: #2#?

A race car starts from rest and accelerates uniformly to a speed of 40 m/s in 8.0 seconds. How far will the car travel during the 8 seconds?

What is #(20x^5)/(4x^4)#?

What is 'relativity' in physics? Does it mean that a colonist living on the moon will age more slowly than her sister who remains on Earth?

A car requires a constant power of #50# #hp# to maintain a constant velocity of #10# #ms^1# (about #36# #kmh^1#). What is the magnitude of the net force impeding motion (friction plus air resistance)?

A circle with center (0, 0) passes through the point (5, 12). How do you find the radius of the circle?

Consider two vectors #A=3i  1j# and #B =  i  5j#, how do you calculate #A + B#?

How do you graph #y=1/2x5# by plotting points?

How fast will an object with a mass of #8 kg# accelerate if a force of #23 N# is constantly applied to it?

If an object is moving at #0 ms^1# and accelerates to #60 ms^1# over #24/5# seconds, what was the object's rate of acceleration?

How do you find the rectangular coordinate of #(sqrt 1, 225^o)#?

What is the force acting on an electric current flowing in an electric field, in a direction parallel to that of the field lines?

What type of measuring device would u use to measure the girth of a tree?

What would happen to the acceleration due to gravity, and to our acceleration toward the centre of the Earth, if the Earth stopped rotating?

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