Answers created by Sihan Tawsik

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• How do you write the answer #3/16 times 4/9# in simplest form?
  
• The gas inside of a container exerts #18 Pa# of pressure and is at a temperature of #350K#. If the temperature of the gas changes to #240K# with no change in the container's volume, what is the new pressure of the gas?
  
• How do you solve #ln(x-7)=2#?
  
• A person is walking west along a sidewalk. What are the object and force pairs in this situation?
  
• A ball with a mass of #2 kg# moving at #16 m/s# hits a still ball with a mass of #21 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?
  
• 1Knot=3 Vines and 2 Shings=4 Knots, How many Shings are in 9 Vines?
  
• How do you solve #-2x + 19< 17#?
  
• A #4.7x 10# ohm resistor has a current of #1.27 x 10^-1# amp flowing in it. What is the potential difference across the resistor?
  
• Circle A has a center at #(3 ,7 )# and an area of #56 pi#. Circle B has a center at #(9 ,6 )# and an area of #28 pi#. Do the circles overlap?
  
• How do you solve #3 ln (e^2 / 2)#?
  
• A charge of #1 C# is at #(-7, 1 )# and a charge of #-3 C# is at #(3, 5 ) #. If both coordinates are in meters, what is the force between the charges?
  
• What is the standard form of #y= (5x-2)(x^2-3)#?
  
• How do you solve the following system: # 7x - y = 10 , 5x-9y=-23 #?
  
• How do you solve #19 - 13z = 9 - 12z#?
  
• How do you use Heron's formula to determine the area of a triangle with sides of that are 8, 5, and 10 units in length?
  
• How do you find the derivative of #sqrt(8x+1)#?
  
• A pinball bangs against a bumper, giving the ball a speed of 52 cm/s. If the ball has a mass of 50.0 g, what is the ball's kinetic energy in joules?
  
• Does a low pKa mean the acid the strong?
  
• If an object with uniform acceleration (or deceleration) has a speed of #3 m/s# at #t=0# and moves a total of 24 m by #t=5#, what was the object's rate of acceleration?
  
• What is the Cartesian form of #( 2 , ( - 15pi)/4 ) #?
  
• How do you write #4,000,000,000,000# in scientific notation?
  
• A projectile is shot at an angle of #pi/6 # and a velocity of # 18 m/s#. How far away will the projectile land?
  
• An object with a mass of #160 g# is dropped into #880 mL# of water at #0^@C#. If the object cools by #120 ^@C# and the water warms by #5 ^@C#, what is the specific heat of the material that the object is made of?
  
• What is #(-pi)/3 # radians in degrees?
  
• How do you simplify #sqrt 500#?
  
• How do solve the following linear system?: # x+2y=1 , 6x=29-8y #?
  
• How do you expand #(3a-b)^4 # using Pascal’s Triangle?
  
• How many moles are in a sample of #CO_2# that contains #8.12*10^22# of #O# atoms?
  
• A circle's center is at #(1 ,5 )# and it passes through #(2 ,3 )#. What is the length of an arc covering #(pi ) /3 # radians on the circle?
  
• The density of mercury metal is 13.6 g/mL. What is the mass 45 mL of the metal?
  
• In which quadrant does the graph of the sum of (3 - 5i) and (2 + 4i) lie?
  
• Consider the following vectors: v = 4i, w = j, how do you find the dot product v·w?
  
• The sides of a triangle are in the ratio 4 : 5 : 6. What is the length of each side if the perimeter is 45 cm?
  
• What is the gravitational potential energy of a # 62 kg# object on a shelf # 5/3 m # high?
  
• What is the energy of an emitted flame with a wavelength of #6.5 * 10^-20# m?
  
• How do you convert #y=(x-y)^2-xy # into a polar equation?
  
• Circle A has a center at #(1 ,7 )# and a radius of #3 #. Circle B has a center at #(-3 ,-2 )# and a radius of #2 #. Do the circles overlap? If not, what is the smallest distance between them?
  
• What is the polar form of #(-1,18)#?
  
• How do you solve #cosx(3sinx - 5) = 0#?
  
• How many moles of #Al# are needed to react completely with 1.2 mol #FeO# in the reaction #2Al + 3FeO -> 3Fe + Al_2O_3#?
  
• How do you find all the real and complex roots of #18x²+3x-1=0#?
  
• What is the conjugate of the complex number 5+2i?
  
• What is the force on an object that has a mass of #12# #kg# and an acceleration of #4# #m##/##s^2#?
  
• How do you use Heron's formula to find the area of a triangle with sides of lengths #3 #, #2 #, and #4 #?
  
• What is #log 100 + log 10#?
  
• If I wanted to find the interior angle sum of a polygon with 102 sides, what would it be?
  
• What is the second derivative of #f(x)= sec x#?
  
• What is the polar form of #( 10,12 )#?
  
• How do you express #sin theta - cot^2 theta + tan^2 theta # in terms of #cos theta #?
  
• How do you differentiate #f(x)=tan(e^(x^2)) # using the chain rule?
  
• What is the domain and range of {(-2, 1), (-1, -2), (0, -3), (1, -2), (3, 6)}?
  
• Question #f486d
  
• A circle's center is at #(1 ,5 )# and it passes through #(4 ,8 )#. What is the length of an arc covering #(pi ) /3 # radians on the circle?
  
• How do you solve #2+2x=19+2x#?
  
• A balanced lever has two weights on it, the first with mass #3 kg # and the second with mass #4 kg#. If the first weight is # 3 m# from the fulcrum, how far is the second weight from the fulcrum?
  
• A #850# #kg# racing car moves at an acceleration of #7# #m##/##s^2#. What net force is needed to move the racing car?
  
• What is the derivative of #(x+1)^x#?
  
• What is the volume of 2.0 moles of an ideal gas at 290 K and 2.8 atm?
  
• How do you solve #3x+2y= -19# & #x-12y=19#?
  
• How do you simplify #(9 times 10^7)(7 times 10^9)# and write the answer in scientific notation?
  
• What is the force, in terms of Coulomb's constant, between two electrical charges of #-7 C# and #4 C# that are #3 m # apart?
  
• What is the area of a parallelogram with base #15# yards and height #21 2/3# yards?
  
• What is the distance between #(4 ,( - 3pi)/4 )# and #(2 ,( 3 pi )/4 )#?
  
• What is the length of segment with endpoints #(2,-1)# and #(4, 5)#?
  
• What is #int xsin3x #?
  
• What is the slope of #6y=-8y-14x+13#?
  
• Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?
  
• What is the second derivative of #f(x)=(x^2-x^3)^(1/3)#?
  
• How is ethyl alcohol oxidized to acetic acid?
  
• How do you implicitly differentiate #x^4-3/y^2-y=8 #?
  
• How do you differentiate #y = 2 / [3sqrt(x^2 - 5x)] #?
  
• What is #int 1 / csc xdx#?
  
• What is the distance between #(–4, 0, 2) # and #(0, 4, –2) #?
  
• How do you differentiate #y=-5^(4x^3)#?
  
• What is the equation of the line perpendicular to #y=-7/15 # that passes through # (-25,5) #?
  
• How do you simplify #Log 5 = 2 - Log x#?
  
• How do you solve #8=log_2 x#?
  
• How much work would it take to push a #6 kg # weight up a # 3 m # plane that is at an incline of # pi / 12 #?
  
• A triangle has angle measures of 82°, 34°, and #x°#. What is #x#?
  
• How do you find the derivative of # f(t)= (t^4 +4t^2 -2)^(4/7)# using the chain rule?
  
• How do you convert #(8.3, 4.2)# into polar forms?
  
• What is the derivative of #f(x)= 2^(3x)#?
  
• What is the derivative of #(x^2)(e^(4x))#?
  
• How do you graph #r^2= 16cos2θ#?
  
• Question #69caa
  
• Question #e5881
  
• How do you solve #log (6x+2) - log (3x-6) = log 6 - log 2#?
  
• An object with a mass of # 7 kg# is traveling in a circular path of a radius of #9 m#. If the object's angular velocity changes from # 5 Hz# to # 1 Hz# in # 8 s#, what torque was applied to the object?
  
• What is the force, in terms of Coulomb's constant, between two electrical charges of #-8 C# and #-6 C# that are #3 m # apart?
  
• An object with a mass of #24 kg# is on a ramp at an incline of #pi/12 #. If the object is being pushed up the ramp with a force of # 4 N#, what is the minimum coefficient of static friction needed for the object to remain put?
  
• What is the slope of the line passing through # (3,7) ; (6,-1) #?
  
• How do you divide #(3i)/(1+i) + 2/(2+3i) #?
  
• What is the integral of #int f(x)=e^(3x)# from 0 to 2?
  
• How do you graph #x=5-y#?
  
• How do you simplify #5/6 times (3/4 - 1/3)#?
  
• A triangle has sides A, B, and C. The angle between sides A and B is #(5pi)/12# and the angle between sides B and C is #pi/12#. If side B has a length of 48, what is the area of the triangle?
  
• How do you divide #( 8i+2) / (-i +5)# in trigonometric form?
  
• How do you find the slope of a line passing through the points G(-5,3) and H(10,-6)?
  
• How do you balance #Ni + C_4H_8N_2O_2 -> Ni(C_4H_8N_2O_2)_2#?
  
• What is the derivative of # tan^ -1(3x^2)#?
  
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