ElectricPavlov

You will need to recall that the specific heat for water is 4182  J / (kg C ) 

        C is the change in temp of  92            you will also need to know that a liter of water is 1 kg ...so you have 2 kg of water 

4182 J / (kg C)  *  92 C  * 2 kg  = 769488 J

Is that SUPPOSED to be   (1a)^(-4) ?? 

   this equals     1 / ( 1a)^4  =  1 / (a^4) 

2 - 3 i z   = 3 + 2z 

-1 = 2z + 3i z 

-1 = z ( 2+3i)

-1/(2+3i) = z

Using the 'vertical line rule'   ---->   a and b are functions because any vertical line crosses the graphs at only one point......not so for (c) 

 8 loaves  *   8 ounces / loaf     / ( 16 ounces/ pound )  =  8 * 8 / 16 pounds = 4 pounds 

...ooops !    Remember when dealing with inequalities, when you divide or multiply both sides by a negative the  <  or   >  symbol reverses ! 

3x-7 ≤ 5x+9 

-16 ≤ 2x

-8 ≤ x                         solution is then  [-8, + ∞ )    

Vertex (3,-2)  form of the parabola is then :

 y =  n ( x-3)^2 -2    and it has point (2,0) ....sub in this point  to calculate the value of 'n'

0 = a(2-3)^2 -2    shows n = 2 

so the parabola is    y = 2 ( x-3)^2 -2      expand R side to get 

                               y = 2x^2 -12x + 16      I think you can see what 'a'  'b' and 'c' are now......

Sum (= 100)  of a 5 element  arithmetic series:

100 = 5/2 ( a1 + a5)            (and a5 = a1 + 4d)

100 =5/2 ( a1 + a1 + 4d) 

40 = 2a1 + 4d

20 = a1+2d        since d  is a multiple of 5 ...using d = 5 shows   a1 = 10    (using d =10 or more would result in a1  ≤ 0....so d = 5)