Hopefully, we could make a difference as Leila hoped on Twitter

We could just plug into this formula, which we proved and hopefully you understood, and say that equals 5,050.

So hopefully we have learned that.

And here, once again, we can use you could call it a trick, but hopefully, you understand why it works.

And hopefully we didn't make any careless mistakes.

Well, we could just try to test and divide it from the get go, but hopefully, you already know the divisibility rule.

So hopefully it's something we can all benefit from.

And hopefully, we won't pick a fool each time.

We did include some things that are hopefully useful.

We could write it either way, and hopefully, at this point, you see why I keep switching between change in distance and distance.

Hopefully, hopefully, they do it the same way.

I think we have shown it, hopefully we've shown it.

There we are in Monterey hopefully I can get it right.

Hopefully we won't have to deal with as many fractions here.

And hopefully if we understand how we control movement, we can apply that to robotic technology.

And we are or hopefully we already recognized this is a 30 60 90 triangle

We all do, we all construct culture in the most positive ways that we can imagine, hopefully.

Well, integration by parts tells us that if we have an integral where we have a function and then the derivative of another function, then we could use this formula to hopefully simplify it.

Hopefully that makes sense and hopefully you understand why it connects.

And hopefully this slide is going to morph beautifully. There we are.

After all of that computation, hopefully we haven't made a careless mistake.

And we hopefully satisfied ourselves that this is in fact a parabola.

And gradually, we hopefully move closer and closer to understanding the world.

So anyway, hopefully I've given you another tool kit in your or another tool in your tool kit, and I'll probably do a couple more videos because we haven't exhausted all of the examples that we could we could show for partial fraction decomposition.

But we know, or hopefully we can review, that oxygen is much more electronegative than hydrogen.

Hopefully very soon we will be there, because we are destined, obsessed with making it real.

Hopefully for good.

UE Hopefully not.

So, you don't need the formula to do this, hopefully. But you could do it in the heads.

If we use a number line here it should hopefully make more sense.

Now we should hopefully be able to simplify radicals with higher power roots.

This hopefully should be intuitive We were starting at going 5 m s

Hopefully, it'll make everyone richer, hopefully it'll make the game bigger and hopefully it'll give cricket commentators more time in the business.

At least good work, hopefully, at least it's good work hopefully great work.

We come from somewhere and we are hopefully traveling all the time, moving towards a new place.

Hopefully you recognize this.

Hopefully, that makes sense.

Hopefully you remember that.

Hopefully, they will come.

Hopefully that make sense.

Hopefully it won't stutter.

Hopefully that make sense.

Hopefully that makes sense.

Hopefully that makes sense.

Hopefully, that makes sense.