Answer:
It is sufficient to prove that 
Step-by-step explanation:
The propositions
being equivalent means they should always have the same truth value. If one of them is true, then all of them must be true. And if one of them is false, then all of them must be false.
Suppose we've proven that
(call these first, second and third implications).
If
was true, then by the first implication that we proved, it would follow that
is also true. And then by the second implication that we prove it would follow then that
is also true. Therefore the three of them would be true. Notice the reasoning would have been the same if we had started assuming that the one that was true was either
. So one of them being true makes all of them be true.
On the other hand, if
was false, then by the third implication that we proved, it would follow that
has to be false (otherwise
would have to be true, which would be a contradiction). And then, since
is false, by the second implication that we proved it would follow that
is false (otherwise
would have to be true, which would be a contradiction). Therefore the three of them would be false. Notice the reasoning would have been the same if we had started assuming that the one that was false was either
. So one of them being false makes all of them be false.
So, the three propositions always have the same truth value, and so they're all equivalent.
Answer:
![\sqrt[6]{2}](https://tex.z-dn.net/?f=%5Csqrt%5B6%5D%7B2%7D)
Step-by-step explanation:
![\sqrt[4]{\sqrt[3]{2^2}} =((2^2)^\frac{1}{3})^\frac{1}{4}\\\\=(2^2)^\frac{1}{12}\\\\=2^\frac{2}{12}\\\\=2^\frac{1}{6}\\\\=\sqrt[6]{2}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%5Csqrt%5B3%5D%7B2%5E2%7D%7D%20%3D%28%282%5E2%29%5E%5Cfrac%7B1%7D%7B3%7D%29%5E%5Cfrac%7B1%7D%7B4%7D%5C%5C%5C%5C%3D%282%5E2%29%5E%5Cfrac%7B1%7D%7B12%7D%5C%5C%5C%5C%3D2%5E%5Cfrac%7B2%7D%7B12%7D%5C%5C%5C%5C%3D2%5E%5Cfrac%7B1%7D%7B6%7D%5C%5C%5C%5C%3D%5Csqrt%5B6%5D%7B2%7D)
The answer to this question is (9,13). Here's how:
First thing you need to do is find the equation. You have a coordinate point and the slope. Remember a linear equation or formula is y=mx+b (m= slope and b= y-intercept)
So let's input the slope into the equation:
y=1/2x+b or y=0.5x+b
Notice how there is no b yet? That's because you need to find it. Good thing you have the coordinate points, so replace x and y with it. ( (x,y) = ( -7, 5) )
5=0.5(-7)+b
5= -3.5+b
+3.5 +3.5
b= 8.5
The equation is now y=0.5x+8.5 and with that equation you can now input it in a calculator to find which of the following coordinate points lies on. Or you can just input those points into the calculator. Which I did because I love to show my work. I have a picture of the work included and I really do hope I helped you. If not, message me. I'll be glad you to help you!
We know that there is a total of 900 cells, and 37 of the samples 60 are red. 900/60 is our unit rate of 15. 37 times 15 is 555. We will see 555 red blood cells in all of the cells.
555 is our answer.
Please forgive any typeos because I did this on my phone.
x= r - h/y subtract r from both sides
x-r = -h/y multiply each side by -y
-y(x-r) = h
-xy +yr = h