Answers created by David B.

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• How do you solve #Ln(x+2)+ln(x-2)=3#?
  
• How do you find the exponential model #y=ae^(bx)# that goes through the points (4,256) (3,64)?
  
• The grade point averages for 10 randomly selected junior college students are 2.0, 3.2, 1.8, 2.9, 0.9, 4.0, 3.3, 2.9, 3.6, 0.8. Assume the grade point averages are normally distributed. What is the 98% confidence interval for the true mean?
  
• How do you find the exponential model #y=ae^(bx)# that goes through the points (2,8) (6, 128)?
  
• How do you evaluate #cos ((15pi)/4)#?
  
• What is the variance of {-4, 5, 8 ,-1, 0 ,4 ,-12, 4}?
  
• How do you solve #2^x = 3#?
  
• How do you simplify #(4+2i)(-5+2i)#?
  
• How do you solve for h in #a= ch + f #?
  
• How do you simplify #8/(1+i)#?
  
• How do you solve #ln sqrt(x-8)= 5#?
  
• What are the mean and standard deviation of a binomial probability distribution with #n=144 # and #p=11/13 #?
  
• What is General Relativity and how does it relate to astronomy?
  
• Which element has 47 electrons?
  
• How do you solve #x^2-30=0# using the quadratic formula?
  
• How do you write a polynomial in standard form given the zeros x=-3,-2,0,2 ?
  
• When can a chi-squared distribution be used to analyze data?
  
• How do you factor and solve #x^2-6x-5=0#?
  
• What can a chi-squared distribution be used to describe?
  
• How do you solve #2 - log_3sqrt(x² +17) = 0 #?
  
• What is the integral of #cos^3 x#?
  
• How do you solve #p^2 + 2p + 1 =0#?
  
• A model train, with a mass of #15 kg#, is moving on a circular track with a radius of #6 m#. If the train's kinetic energy changes from #81 j# to #27 j#, by how much will the centripetal force applied by the tracks change by?
  
• How do you solve #sqrt (x-7) = sqrt (x) - 1#?
  
• What is the distance between #(7,35,6)# and #(-3,5,1)#?
  
• Question #19ef1
  
• A student does 60 joules of work pushing a 3.0 kilogram box up the length of a ramp that is 500 centimeters long. What is the magnitude of the force applied to the box to this work?
  
• What test can be used to determine if two samples have similar variances?
  
• Question #270c8
  
• The position of an object moving along a line is given by #p(t) = 3t - cos(( pi )/3t) + 2 #. What is the speed of the object at #t = 2 #?
  
• How do you factor #x^2+18x+77#?
  
• Question #3fc43
  
• How do you solve #log_3 x + log_3 (x + 4) = log_3 32 #?
  
• If #3 L# of a gas at room temperature exerts a pressure of #7 kPa# on its container, what pressure will the gas exert if it the container's volume changes to #2/3 L#?
  
• How do you simplify # (2+3i) ^2#?
  
• How do you find an equation of the line having an x-intercept of 4 and parallel to 2x+Y=2?
  
• How do you factor #m^2-10my+25y^2#?
  
• How do you solve #x^2+2x-48=0#?
  
• How do you solve #log_7 x= -1#?
  
• How do you factor #5x^3-45x#?
  
• How do you solve #(5n-2)(2n+5)=0#?
  
• How do you simpilify #sqrt(125x^2)#?
  
• How do you multiply #(w-6)(2w+8)#?
  
• A snowball is thrown straight upward from the top of a 200 meter tall building with a velocity of 30 m/s. How long does it take to reach its highest point?
  
• Question #a9dae
  
• How do you find the derivative of #1/(x+1)^2 #?
  
• How does the chi-squared distribution relate to the Gamma distribution?
  
• How do you divide: #(x^3 - 6x^2 + 12x - 8) ÷ (x - 2)#?
  
• How do you divide: #(x^3 - 6x^2 + 12x - 8) ÷ (x - 2)#?
  
• What is the period of #f(t)=cos ( ( 5 t ) / 2 ) #?
  
• How do you solve #y = 3x + 12# and #y = x^2 + 2x - 18#?
  
• How do you simplify #3 sqrt26#?
  
• How do you factor the trinomial #v^2 + 13v + 42#?
  
• The average of #x# and #y# is #5# and the average #x, y,# and #z# is #8#. What is the value of #z#?
  
• What does a higher F-statistic mean?
  
• What is an F-test?
  
• Why must least squares be used to approximate a solution to an overdetermined system?
  
• Is the sum of two Gaussian functions still a Gaussian function? What implication does this have for adding data sets?
  
• Question #8c1b7
  
• How much energy is needed to vaporize 0.22 kg of water?
  
• Can a random variable with a non-continuous cumulative density function have a probability density function?
  
• You have a coin which is loaded so that the probability of tossing heads is .55. If you toss the coin three times, what is the probability that you will obtain three heads?
  
• For what values of x, if any, does #f(x) = 1/((x-2)(x-1)(x-3)) # have vertical asymptotes?
  
• How do you find the derivative of # f(x)= x/(x-1)#?
  
• How do you find the derivative of # f(x)= x/(x-1)#?
  
• How do you factor completely #b^3+49b#?
  
• What is the domain of #F(x) = log_8x#?
  
• How do you solve #223.11 = 1.04^t #?
  
• How do you multiply ABC if #A=((3, 10), (1, 2))#, #B=((1, 0, 4), (2, -1, 5))#, #C=((3), (1), (1))#?
  
• Question #d548d
  
• What is the slope of a line perpendicular to the line whose equation is #3x-7y+14=0#?
  
• How do you long divide #(x^3+2x^2-3x+4)/(x-2)#?
  
• How do you write 4 1/5 as a percent?
  
• Given #A=((-1, 2), (3, 4))# and #B=((-4, 3), (5, -2))#, how do you find A-2B?
  
• What is the equation of the normal line of #f(x)=4x^4+8x^3-2x^2+x-3# at #x=-1#?
  
• How would you simplify #sqrt(x+1)=3- sqrt( x-2)#?
  
• Billy plans to sell twice as many magazine subscriptions as Kayla. If Billy and Kayla need to at sell at least 90 subscriptions in all, how do you write and solve an inequality to determine how many subscriptions, #x#, Kayla needs to sell?
  
• How do you find the fourth derivative of #e^(-x)#?
  
• What is the gravitational potential energy of a # 9 kg# object on a shelf # 2/3 m # high?
  
• How do you long divide # (x^3 - 3x^2 + x + 2) / (x + 2)#?
  
• What is the probability of tossing a penny and landing on heads three times in a row?
  
• How do you use the Pythagorean Theorem to determine if the following triangle with sides a, b, & c is a right triangle: a=5, b=10, c=15?
  
• How do you solve #63-x=2x+3#?
  
• How do you convert 1.05 atm of pressure to its equivalent in millimeters of mercury?
  
• How do you convert 1.05 atm of pressure to its equivalent in millimeters of mercury?
  
• What are the first and second derivatives of #f(x)=(ln x)^(1/2)#?
  
• Using the pythagorean theorem, how do you solve for the missing side given a = 14 and b = 13?
  
• A container with a volume of #6 L# contains a gas with a temperature of #280^o K#. If the temperature of the gas changes to #320 ^o K# without any change in pressure, what must the container's new volume be?
  
• How do you graph #y=abs( x-1)#?
  
• How do you factor the expression #x^2-20x+48#?
  
• How do you write an algebraic expression that models the word phrase "the quotient of the difference between 5 and a number n,and 2"?
  
• A box with a mass of 7 kilograms is pushed up a ramp to a height of 5 meters. What is the work done against the force of gravity?
  
• How do you evaluate the expression # 8 • 7 – 4#?
  
• How do you find the inverse of #f(x) = 4/x# and is it a function?
  
• How do you find the inverse of #A=##((1, 0, 3), (1, 4, 2)) #?
  
• How is the atomic number used to distinguish between elements?
  
• What is the integral of #int e^((-1/2)*x) dx #?
  
• What is the average speed, on #t in [0,5]#, of an object that is moving at #12 m/s# at #t=0# and accelerates at a rate of #a(t) =5-3t# on #t in [0,4]#?
  
• A charge of #18 C# passes through a circuit every #6 s#. If the circuit can generate #24 W# of power, what is the circuit's resistance?
  
• What is the difference between a definite and indefinite integral?
  
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