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  • The sum of the first nth term of a geometric series is 145 . . . - Socratic
    The sum of the first nth term of a geometric series is 145 and the sum of the reciprocal is 145 33 The first term is 1 What is n and the common ratio? Precalculus
  • Question #42a62 - Socratic
    12 " mi" Let distance from Kimberly's house to Marilyn's house be x, Using Law of Sines : x sin50=14 sin63 => x=14xx sin50 sin63 = 12 04 = 12 " mi" (to nearest whole number)
  • Question #3a582 - Socratic
    It should be odourless, have a neutral pH (i e 7) The water free from impurities safe for human consumption is known as potable water Physical properties Should be colourless Odourless Should not contain any organic matter Should be transparent Chemical Properties Should not contain poisonous substances like lead, iron, zinc, etc Neutral pH i e pH 7 SHOULD FREEZE AT 0^0 C SHOULD boil
  • Question #0d42a - Socratic
    The numbers are 8 and 21 First you need to define the two numbers using variables, Let the smaller number be x The larger number is x+13" " (it is 13 more) The sum is 29, so write an equation to show this x+ x+13 = 29" "larr now solve the equation 2x +13 = 29" "larr subtract 13 from both sides 2x = 16 x=8 The numbers are 8 and 21
  • Question #efb61 - Socratic
    the most likely meaning is pi xx 8 or pi*8 or 8 pi pi is the English (and other) spelling for the Greek letter pi pi, of course, is the ratio of the Circumference of a circle to its Diameter It is about 3 1416 (It cannot be expressed with a finite number of digits That's why we gave it a name )
  • Question #65b3d - Socratic
    55 406 Think about one bulb being taken out at a time Once one has been removed, there will be one less, so the probability for the second bulb changes For both bulbs to be red we want: The first must be RED and the second must be RED There are 11 red bulbs to start with, If the first bulb taken is red, there will be 10left P(R,R) = 11 29 xx10 28 =55 406
  • Question #85def - Socratic
    The issue here is dealing with the negatives We should note that the minus sign in the numerator is contained within the power of #3#, whereas there is a single, standalone minus #1# in the denominator which is multiplied by #5^3# Rewriting to clarify, then, we have: #= ( [-1 (5)]^3) (-1 (5^3))#
  • Question #5883f - Socratic
    c=-7 10 more than a number c would be the same as c+10 Since this would be equal to 3, we can create an expression, which is c+10=3 From here, we solve for x We'll subtract 10 form each side to get our answer, c=-7: c+10-10=3-10 c=-7
  • Question #11a64 - Socratic
    7 64 xx 10^-23 g "molecule" Molecular masses are usually described in terms of "gram molecular weight", or the mass of one mole of the compound A ^14C isotope in a CO_2 molecule would change it from 44g "mol" to 46g "mol" Using Avogadro's number of 6 022 xx 10^23 "units" "mole" we obtain: 46g "mol" (6 022 xx 10^23 "units" "mole") = 7 64 xx 10^-23 g "molecule"
  • What type of conic section has the equation #4x^2-y^2=16#? - Socratic
    This is a hyperbola Divide each term by 16 (4x^2) 16-y^2 16=16 16 Simplify x^2 4-y^2 16=1





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