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  • What is the mass of 211mL of a liquid that has a density of . . . - Socratic
    Approx 190*g By definition, rho, is given by the quotient rho_"density"="mass" "volume", and thus has units of g*mL^-1-=g*cm^-3 And so we simply rearrange
  • Question #19ef1 - Socratic
    W=8 31d^3 = 8 31 * 7^3 =8 31 * 343 ~= 2850 The trick here is to guess what the variables in the equation mean In this case we have W and d The question asks us to determine weight, and gives us diameter From this we guess that W implies weight and d implies diameter Since the diameter was given to be 7 feet, we can substitute that into the equation: W=8 31d^3 = 8 31 * 7^3 =8 31 * 343
  • Question #9046f - Socratic
    The LCM is 12, but how you can find it for any numbers is explained below Two find the LCM of two numbers (or more) write the numbers as the product of their prime factors That means find a way to express the number as the product of prime numbers only (like 2, 3, 5, 7, 11 and so on) 4 can be written 2xx2 6 is 2xx3 Now look for any prime number that appears in both expressions (the 2 in
  • Question #02e21 - Socratic
    Sides are each (5x-2)cm P= 20x-8 P= 252cm The area of a rectangle is A=lxxb Factorise the trinomial given as the expression for the area This will give you expressions for the length and breadth 25x^2 -20x+4 =(5x-2)(5x-2) The frame is actually square, with each side being (5x-2)cm The perimeter is the total distance around the frame - the sum of the lengths of all 4 sides P = 4xx(5x-2)= 20x
  • Question #021e1 - Socratic
    36 neutrons One way we have of differentiating between various nuclides of the same element is by writing the name of the element followed by a hyphen and the mass number of the nuclide In your case, you would have zinc-66, a nuclide of zinc that has a mass number equal to 66 Now, an atom's mass number, A, tells you the number of protons, which is given by the atomic number, Z, and neutrons
  • Question #60f08 - Socratic
    This is a fascinating question, and one that is still being actively considered I can give you a basic answer here and point to better sources The moon almost certainly formed as a result of an enormous impact with a Mars-sized body very early in the history of the solar system The date isn’t precisely known, but was about 100 million years after the Earth formed The impacting body
  • Can someone verify my answer? - Socratic
    Try significant digits You answer is correct But the significant figures of your answer might not Double check the way the numbers are written down in the original question Is 2m written as 2 0m, 20 Hz written as 20 Hz etc If so, they are numbers of two significant figures When you have numbers that have mixed significant numbers Then your answer keeps the least significant figure So
  • Question #174a1 - Socratic
    This is a First Order Separable Ordinary Differential Equation The General Solutions as: y = C \\ e^(-1 2x^2) (x^2) We have: (x^2y+2y)dx+xdy=0 This is a First Order Separable Ordinary Differential Equation - There is no "proof" of the classification, we just really on the definitions It is "First Order" because the highest derivative is the First Derivative It is "Ordinary" because it is a
  • Question #4697e - Socratic
    4=E (Note that my pictures are hugely off scale) This may be one of the problems that requires some thinking before trying Let's label what we know Here, I have created a picture in Paint We are trying to solve for E Hmm Let's try to label the angles We know that the angles d and b are right angles Let's name angle c as x We now have: Using the fact that the angles of a triangle always
  • Question #895e3 - Socratic
    Explanation: For an easy solution to all proof questions its convenient to go for L H S= R H S method:





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