Answers created by Yonas Yohannes

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• Why is gravity considered a weak force?
  
• How does earth's layers differ from other planets?
  
• Point A is at #(9 ,-2 )# and point B is at #(2 ,4 )#. Point A is rotated #pi # clockwise about the origin. What are the new coordinates of point A and by how much has the distance between points A and B changed?
  
• Two spheres are placed so that their centers are 2.6 m apart. The force between the two spheres is #2.75 * 10^-12# N. What is the mass of each sphere if one sphere is twice the mass of the other sphere?
  
• Question #e154b
  
• Question #eef8e
  
• A #5 cm# high prism has a right triangle base with cateti #6 cm and 8 cm# long. Calculate the surface area using a perimeter construct and a single formula. Calculate also the volume?
  
• How many stars are there estimated to be the universe?
  
• Find the four digit numbers #abcd# that satisfy, #2(abcd)+1000=dcba#?
  
• Behaghu is 40 years old and her son is twice her daughter’s age. Behaghu will be thrice her son’s age when her daughter is 12 years old. How old will Behaghu be when her 2 children’s combined age equals to her age?
  
• For what political and economic reasons did the Italians turn to Mussolini?
  
• If #P(x,y)# lies on the interval #A(x_1,y_1), B(x_2,y_2)# such that #AP : PB =a : b#, with a and b positive, show that #x= (bx_1+ax_2) /(b+a)# and #y=(by_1+ay_2)/(b+a)#?
  
• Constructing the angle 75°?
  
• What is meant by a linearly independent set of vectors in #RR^n#? Explain?
  
• Who are the Allied Powers? What is their war plan? Why are they aligned politically? What are their goals in the war?
  
• Question #dbe08
  
• If a current of #4 A# passing through a circuit generates #80 W# of power, what is the resistance of the circuit?
  
• What is the net area between #f(x)=tanx# in #x in[0,pi/3] # and the x-axis?
  
• Question #c62e7
  
• Let #F(x)=3x# and #g(y)=1/y#, how do you find each of the compositions and domain and range?
  
• A cone has a height of #6 cm# and its base has a radius of #6 cm#. If the cone is horizontally cut into two segments #3 cm# from the base, what would the surface area of the bottom segment be?
  
• Who are the Allied Powers? What is their war plan? Why are they aligned politically? What are their goals in the war?
  
• Question #b3589
  
• Find the sum of the following number sequence: #3+5+7+9+11#?
  
• What can chi-squared tests indicate about categorical data?
  
• If X and Y are correlated random variables, what is Var(XY)?
  
• What are the mean and standard deviation of the probability density function given by #p(x)=x^4-x^3+1# for # x in [0,1]#, in terms of k, with k being a constant such that the cumulative density across the range of x is equal to 1?
  
• What are the mean and standard deviation of a binomial probability distribution with #n=145 # and #p=7/11 #?
  
• Question #89577
  
• 5473ca8c581e2a3f28523bd8
  
• If #sinx=(4/5)#, how do you find #sin2x#?
  
• Question #7d905
  
• Question #6a425
  
• How do you evaluate #Cos(pi/4) -(pi/4)sin(pi/4)#?
  
• What is the projection of #< -2, -5, 7># onto #< 7,2, -5>#?
  
• How do you multiply # (5-i)(6-4i) # in trigonometric form?
  
• How do you divide #( i-1) / (i -2 )# in trigonometric form?
  
• What are the mean and standard deviation of the probability density function given by #p(x)=k-x+xe^(-x^2) # for # x in [0,4]#, in terms of k, with k being a constant such that the cumulative density across the range of x is equal to 1?
  
• What is a latent variable?
  
• Why is chirality important in living things?
  
• An object with a mass of #4 kg# is acted on by two forces. The first is #F_1= < 6 N , -2 N># and the second is #F_2 = < -3 N, 3 N>#. What is the object's rate and direction of acceleration?
  
• How do you find local maximum value of f using the first and second derivative tests: #f(x) = x / (x^2 + 9)#?
  
• What is the area enclosed by #r=-2cos((11theta)/12+(3pi)/4)+sin((5theta)/4+(5pi)/4) +theta/3# between #theta in [0,pi]#?
  
• What is the net area between #f(x)=(x-x^2)/ln(x^2+1)# in #x in[1,2] # and the x-axis?
  
• What is the second derivative of #f(x) = e^(-x^2 #?
  
• How does a hurricane form?
  
• Question #dcedf
  
• How do you multiply #e^(( 2 pi )/ 3 i) * e^( 3 pi/2 i ) # in trigonometric form?
  
• If a #12 kg# object is constantly accelerated from #0m/s# to #4 m/s# over 7 s, how much power musy be applied at #t=1 #?
  
• A cylinder has inner and outer radii of #8 cm# and #12 cm#, respectively, and a mass of #9 kg#. If the cylinder's frequency of counterclockwise rotation about its center changes from #1 Hz# to #7 Hz#, by how much does its angular momentum change?
  
• What is the antiderivative of #x + 2/x - 3/x^2#?
  
• What is the instantaneous velocity of an object moving in accordance to # f(t)= (sin(t+pi),cos(3t-pi/4)) # at # t=(pi)/3 #?
  
• How do you differentiate # f(x)=e^((6x-2)^2 # using the chain rule.?
  
• How do you find the derivative of #f(x)= x^2 -5x + 3 # using the limit definition?
  
• What are the symptoms of gastrointestinal cancer? Does this type of cancer usually show up gradually, or quickly?
  
• Two circles have the following equations #(x -1 )^2+(y -4 )^2= 25 # and #(x +3 )^2+(y +3 )^2= 49 #. Does one circle contain the other? If not, what is the greatest possible distance between a point on one circle and another point on the other?
  
• A pyramid has a parallelogram shaped base and a peak directly above its center. Its base's sides have lengths of #6 # and #3 # and the pyramid's height is #7 #. If one of the base's corners has an angle of #(5pi)/6#, what is the pyramid's surface area?
  
• Circle A has a radius of #2 # and a center of #(3 ,7 )#. Circle B has a radius of #6 # and a center of #(8 ,1 )#. If circle B is translated by #<-4 ,3 >#, does it overlap circle A? If not, what is the minimum distance between points on both circles?
  
• How do you differentiate #f(x)=(4x)/(2x+3)^2# using the quotient rule?
  
• A circle has a center that falls on the line #y = 3/8x +8 # and passes through # ( 7 ,4 )# and #(2 ,9 )#. What is the equation of the circle?
  
• Points A and B are at #(4 ,5 )# and #(7 ,2 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #1/2 #. If point A is now at point B, what are the coordinates of point C?
  
• A line segment has endpoints at #(5 ,9 )# and #(8 ,7 )#. If the line segment is rotated about the origin by #( pi)/2 #, translated vertically by #-8 #, and reflected about the y-axis, what will the line segment's new endpoints be?
  
• Point A is at #(2 ,-1 )# and point B is at #(3 ,-4 )#. Point A is rotated #pi # clockwise about the origin. What are the new coordinates of point A and by how much has the distance between points A and B changed?
  
• Two rhombuses have sides with lengths of #7 #. If one rhombus has a corner with an angle of #pi/3 # and the other has a corner with an angle of #(5pi)/8 #, what is the difference between the areas of the rhombuses?
  
• The force applied against a moving object travelling on a linear path is given by #F(x)= cosx + 2 #. How much work would it take to move the object over #x in [ 0, (13 pi) / 8 ] #?
  
• How do sound waves travel by refraction?
  
• If #18 L# of a gas at room temperature exerts a pressure of #64 kPa# on its container, what pressure will the gas exert if the container's volume changes to #24 L#?
  
• How do you find the taylor series of #f(x)=sinx# at #a=pi/6#?
  
• Question #ffd2c
  
• What is the moment of inertia of a pendulum with a mass of #8 kg# that is #2 m# from the pivot?
  
• What is the moment of inertia of a rod with a mass of #4 kg# and length of #15 m# that is spinning around its center?
  
• An object with a mass of #5 kg# is on a surface with a kinetic friction coefficient of # 4 #. How much force is necessary to accelerate the object horizontally at # 9 m/s^2#?
  
• Some very hot rocks have a temperature of #420 ^o C# and a specific heat of #210 J/(Kg*K)#. The rocks are bathed in #45 L# of boiling water. If the heat of the rocks completely vaporizes the water, what is the minimum combined mass of the rocks?
  
• What is #|| <-1, 9, -2 > - < 9 , -4, 1 > ||#?
  
• How would these be classified: as strong/weak nucleophiles or strong/weak bases?
  
• What is the surface area of the solid created by revolving #f(x) = (2x-9)^2 , x in [2,3]# around the x axis?
  
• How do you find the area bounded by the cardioid #r=1+cos(theta)#?
  
• What is the volume obtained by rotating the region enclosed by #y=11-x#, #y=3x+7#, and #x=0# about the y-axis?
  
• How do you find the volume of the solid obtained by rotating the region bounded by the curves #1/(1+x^2)#, #y=0#, #x=0#, and #x=2# rotated around the #x=2#?
  
• How does the degree of a polynomial affect its end behavior?
  
• How do you make a table to graph # f(x) = 2 - e ^ (x / 2)#?
  
• How do you find vertical, horizontal and oblique asymptotes for # (x^2-9x+20)/(2x^2-8x)#?
  
• How do you find all the zeros of #P(X) = x^3 - 6x^2 + 4x + 16#?
  
• How do you find the zeros of # (-x+1)(x+2)(x-3)^2#?
  
• How do you find the vertical, horizontal or slant asymptotes for # y = 6/x#?
  
• In solve the equation #ln(x-1)=2#, what is the first step?
  
• How do you find the derivative of #y = ((x^5)/6) + (1/(10x^3)) #?
  
• What is the net area between #f(x) = cotxcscx -sinx# and the x-axis over #x in [pi/6, (5pi)/8 ]#?
  
• Who gained control of the Congo region after King Leopold ll was deposed for human rights violations?
  
• What reforms did Mao Tse Tung make?
  
• What event occurred after Ho Chi Minh declared Vietnam's independence?
  
• How did Kublai Khan encourage trade?
  
• How do you classify Bronsted acids and bases?
  
• What is difference between spectrophotometry and spectroscopy?
  
• How do beta lactam antibiotics kill bacteria?
  
• How do you decide whether the relation #x - 3y = 2# defines a function?
  
• What is the domain and range of #y = y = (x^2 - 1) / (x+1)#?
  
• How do you simplify #2* sqrt(-1/6) + sqrt(-4/3) #?
  
• If #f(x)= 1/x # and #g(x) = 1/x #, how do you differentiate #f'(g(x)) # using the chain rule?
  
• What elements and structures were needed to make our solar system?
  
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