hectictar

And...If the red dot is (-4,-4.8) ..then choice B fits just right! 

Woops! For some reason I was thinking Albert was told the day and Bernard was told the month !! D:

Math problems are like puzzles, and it is kind of fun to figure out the puzzles!

And, the funny thing about math is that it all starts with simple things that just get piled on top of each other until it becomes complicated. But..ultimately it all boils down to simple things.  

If you don't understand your teacher's way of explaining....maybe someone on here could help? :)

SA of rectangular right prism = 2(length * width + length * height + width * height)

SA of triangular right prism = (perimeter of base) * (height) + 2(area of base)

\(\lim_{n\rightarrow \infty}(\frac{\sqrt{2n^3}-1}{n^{\frac32}}) \\~\\ = \lim_{n\rightarrow \infty}(\frac{ \sqrt{2n^3}}{n^{\frac32}}-\frac{1}{n^{\frac32}}) \\~\\ = \lim_{n\rightarrow \infty}( \frac{ 2^{\frac12}n^{\frac32} }{ n^{\frac32}}-\frac{1}{n^{\frac32}}) \\~\\ = \lim_{n\rightarrow \infty}( 2^{\frac12}-\frac{1}{n^{\frac32}} ) \\~\\ =2^{\frac12}-0 \\~\\ =\sqrt2\)

\(\lim_{n\rightarrow \infty} (3+\frac{4}{3}n)=3+\infty=\infty \\~\\ \lim_{n\rightarrow \infty} (3+\frac4{3n})=3+0=3\)

42 hours   =   35 hours + 7 hours

So, the person will make...

      $12.00 per hour for 35 hours     +     $24.00 per hour for 7 hours

=               ($12.00) * (35)                  +                ($24.00) * (7)

=                     $420.00                     +                    $168.00

=                                                 $588.00

If it is a " quadratic " equation that means the biggest power of x is 2.

All quadratic equations can be put into the form:     ax² + bx + c = 0

1.5 * 10⁶   *   1.2 * 10⁶

= 1.8 * 10⁶ * 10⁶

= 1.8 * 10¹²

= 1.8 trillion,     or 1 trillion 800 billion

\(\frac{\text {arc length}}{\text{circumference of circle}}=\frac{120^{\circ}} {360^{\circ}} \\~\\ \frac{\text{arc length}}{8\pi}=\frac{120^{\circ}} {360^{\circ}} \\~\\ \begin{array} \ \text{arc length}&=&\frac{120^{\circ}} {360^{\circ}}*8\pi \\~\\ &=&\frac13*8\pi \\~\\ &=& \frac{8\pi}{3} \\~\\ &\approx& 8.4 \, \text{miles} \end{array}\)