All Answers 357331 Answers

Mikey won't eat it.  Mikey hates everything.

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Any of the answers is plausible, but for the most likely I'd choose the one most closely related to the owner's self interest:  the third one, The owner wants people to believe that dance classes are popular so that they sign up for classes. 

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I think it's x=-4, y=1. 

Set $a=c+di$ and $b=r+si$ where $c$, $d$, $r$, and $s$ are real numbers. This makes the $a\overline{b}=-1+5i$ turn into $(c+di)(r-si)=-1+5i$. When we multiply the left side out, we get $(cr+ds)+(dr-cs)i$. So, $cr+ds=-1$ and $dr-cs=5$.

Notice that $\overline{a}b=(c-di)(r+si)=(cr+ds)+(cs-dr)i=(cr+ds)-(dr-cs)i$. Plugging in the values before gives us $\overline{a}b=-1-5i$.

Hope this helps!

its A and D

It will be linear except at x = 0.....where it is undefined

To be continuous....we have to be able to "trace" the function without picking up our pencil

12a  not continuous at  x = -3

12b  continuous ta x = -2

12c  not continuous at x = 2

the function is discontinous at x=-3

the function is continuous at x=-2

the function has a removable discontinuity at x=2, and is thus discontinuous there

Try to rewrite the expression as the sum of squares plus a number.

Is the answer -11? Inspiration: https://www.quora.com/If-x-and-y-are-real-numbers-then-what-is-the-minimum-value-of-x-2-+4xy+6y-2-4y+4

Don't take my word for it, though. 

$\text{The distribution of a single spin is}\\ P[\{3,4,6\}] = \left\{\dfrac 1 2,\dfrac 1 4, \dfrac 1 4\right\}$

$\text{The distribution of the sum of 2 spins is }\\ P[\{6,7,8,9,10,12\}]=\left\{\dfrac 1 4,\dfrac 1 4,\dfrac{1}{16},\dfrac 1 4, \dfrac 1 8,\dfrac{1}{16}\right\}$

$\text{We want the distribution of the vacation choice to be "fair",}\\ \text{ i.e. discrete uniform with }n=4\\ \text{It's seen that choice 3 accomplishes this}$

Thanks, terte  !!!!

1 (a): https://www.desmos.com/calculator/5g7mmiuq61

1 (b): https://www.desmos.com/calculator/bh7n5oj7zi

What do you see ?

I think the guest means:

Given that $-3 \le 7x + 2y \le 3$ and $-4 \le y - x \le 4$, what is the maximum possible value of  $x+y$ ?

Please write out your equations not just a graph.  Thanks a ton.

YES, You can in "Modular Math"!!. It is perfectly valid! See here: https://www.wolframalpha.com/input/?i=368+mod+1089

Life is a breakfast cereal made by The Quaker Oats Company since 1961.

Guest you cannot divide a number by a larger number to get an integer.

Please. 

There isn't any fraction.....

The  angle x should be between 11.3°  and  16.7°

Slope  = ( -2 - 5) /(4 - 3)  =  =  -7 / 1  =  -7

tan 29 = o/x      o= opposite the height of the mesa (less stephan's 1.8 ht)

tan 25 = o/(100+x)      solve both of these equations for 'o' and set them equal to each other

(100+x) tan 25 = x tan 29    solve for    x = 529.87 m from the mesa

so now we know

tan 29 = o/529.87       o = 293.71....

   add Stephan's height     1.8 + 293.71 m = 295.51 m = height of mesa

BUT.....    don't forget to add the 1.8m height of Stephan once you find your answer !!