Bosco

What is pi divided by 3 times pi?     

Do you mean  π / (3 • π)  or  (π / 3) • π  ?     

Do yourself and everyone else a favor and learn to use parentheses.     

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  if the common ratio is 2 and a5 =12 whats the first term? and how do I find it?     

  The easiest way to find it when the numbers are this small is simply to count backwards.     

  a₅  = 12     

  a₄  =   6     

  a₃  =   3     

  a₂  =   1.5     

  a₁  =   0.75     

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sues scarf was 8 inches long, and each day she knitted 75% of its original length. would this be a linear or exponential equation?     

L = 8 + 6n where n is the number of days Sue knitted . . . linear     

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What dose Mc2 mean???     

You're probably thinking about E=mc² which is Albert Einstein's     

famous equation describing the conversion of mass into energy.    

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solve (x^2)-x-14     

x² – x – 14 = 0     

         –b ± sqrt(b² – 4ac)     

x  =  ––––––––––––––––     

                     2a     

         +1 ± sqrt( (–1)² – 4(1)(–14) )     

x  =  ––––––––––––––––––––––––     

                           2     

          1 + sqrt(57)                   1 – sqrt(57)     

x  =  ––––––––––––    and    ––––––––––––     

                  2                                    2     

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What are values of x and y ?     

x/y =3.141592653589793238     

Assuming you intended the quotient to be π,     

and that you mean integer values of x and y,     

the answer is that there are none.     

pi is an irrational value, which means it cannot     

be expressed as a ratio, i.e., a simple fraction.     

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elaborate irrational numbers     

The word irrational, in the math sense, means a number that can not be expressed as a ratio.     

A ratio is a fraction composed of two integers, except that the denominator can never be zero.     

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 At a certain time of​ day, the angle of elevation of the sun is 50°.     

 To the nearest​ foot, find the height of a tree whose shadow is 43 feet long.     

                              height of tree     

 tangent (50^o)  =  ––––––––––––     

                             shadow length     

 1.1918  =  height / 43    

  height  =  (43)(1.1918)  =  51.2472   rounds to 51 feet     

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For integers x and y, what is the smallest possible positive value of 420x + 300y?     

If you call x = –2 and y = +3, you get         –840 +   900 = 60     

Likewise  x = +3 and y = –4, you get         1260 – 1200 = 60     

I'm not certain that is the lowest possible total.     

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How much work energy is wasted by a 30 W bulb if the bulb is left on for 3600 seconds while no one is using it?     

Answer in joules.     

Per google A.I., a joule is a watt-second,     

so (30 W) • (3600 sec)  =  108,000 joules     

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