RiemannIntegralzzz

$1865593=0.39(x)$

$x=\frac{1865593}{0.39}$

$\boxed{x \approx 4783572}$

There were 14 total volunteers, with an average of $\frac{1306}{5*14}=\frac{1306}{70} \approx \boxed{19}$ per volunteer per day.

If he needs 1/3 of a banana for each smoothie, he needs a total of 1/3*30 bananas. Because he has 12, 12>10, so he has enough.

$P(1,2,3)=\frac{1}{2+3}=\frac{1}{5}$

$P(2,3,1)=\frac{2}{3+1}=\frac{2}{4}=\frac{1}{2}$

$P(3,1,2)=\frac{3}{1+2}=\frac{3}{3}=1$

$P(\frac{1}{5},\frac{1}{2},1)=\frac{\frac{1}{5}}{\frac{1}{2}+1}=\frac{1}{\frac{15}{2}}=\boxed{\frac{2}{15}}$

$2*4=2^4+4^2=16+16=\boxed{32}$

Plugging in, you get $\frac{2}{12}+\frac{12}{3}+\frac{3}{2}=\frac{1}{6}+4+\frac{3}{2}=4+\frac{1}{6}+\frac{9}{6}=4+\frac{10}{6}=4+\frac{5}{3}=\boxed{\frac{17}{3}}$

Great job @CPhill!

Hint: one way to define no solutions means that when you simplify everything(without possibly dividing by 0, such as 3x=5x, x=0 is a solution), you are left with two unequal numbers equaling each other, such as $3=5$.

Ummm... there are potentially an infinite number of slices of pizza, so you cannot possibly figure it out.

Oh, it's both. The question was what cell parts do they have in common.

We have the sequence: triangle, square, circle, triangle, square, circle, triangle, square, circle...

The $50^{th}$ shape is the same as $50$(mod $3$)$=2$, because the shape repeats every $3$ items. So the $50^{th}$ shape equals the $2^{nd}$ shape equals a $\boxed{square}$

prokaryotic cells are single-celled ones, and eukaryotic cells are multi-celled ones.

Looking at the function, you can see that $x$ can be all real numbers except for $-7$, as that would cause division by $0$.

So the domain would be $\boxed{(-\infty, -7)U(-7, \infty)}$

I will write everything in cents because I hate decimals more than anything :)).

Let $a$ denote the number of $50$ cent stamps he has, and let $b$ denote the number of $20$ cent stamps he has.

We have two equations: $a+b=30$ and $50a+20b=1200$.

Solving the first equation and substituting:

$a=30-b$

$50(30-b)+20b=1200$

$1500-50b+20b=1200$

$-30b=-300$

$30b=300$

$b=10$.

Now, we have $a+b=30$, so $a+10=30$, $a=20$.

So Clifford has $\boxed{20}$ 50 cent stamps and $\boxed{10}$ 20 cent stamps.

A simple check by multiplying them out:

$20*50+10*20=1200$

$1000+200=1200$

$1200=1200$(it works!)

To answer boxes one by one:

Second box(first one is already answered): The Eukaryotic cells are much more diverse as they have almost uncountably many more different combinations.

Third box: Eukaryotic cells are much more complex, again, because multi-celled organisms have more parts

Fourth box: Eukaryotic cells have a nucleus-bound dna. The DNA is wrapped inside of a membrane.

Fifth box: The main difference is that Eukaryotic cells have a nucleus to hold their DNA, while Prokaryotic cells have free-floating DNA.

They both have a plasma membrane, ribosomes, cytoplasm, and DNA.

One important fact about cells: Cells form tissues, and tissues form organs, like the liver or heart, so cells are the building blocks of our body!

Another important fact about cells: Cells are made up of proteins and organelles.

Hope this helps!

$1/4x=3/4$

Multiply both sides by $4$

$1/4x*4=3/4*4$

$1*x=3$

$1x=3$

$\boxed{x=3}$