this week in math I learned how to add and subtract radicals.
in order to add or subtract a radical the radicand and the index of the radical MUST be the same
in our equation it so happens that both our radicand which is the number 2 and our index which is also an invisible 2 are the same. if it was for a cubed root the index would have to be 3 for all of them and for the actual subtraction and addition you would just subtract and add the coefficients which in the end give us 0
this week we learned about an absolute value of a real number. What that entails is how far a number away is from the number zero and with absolute values it’s always going to be positive.
In the question I show above in the barriers of the absolute values I have 5-8 which normally would give -3 but since it is within the barriers of the absolute values that means it’s going to turn into a positive 3 giving us the answer to the equation which is 7
Capital punishment is a death sentence to be hanged. Capital Punishment is a sentence that used to be possible to receive for murder, treason, and rape in upper and lower Canada (1865). As time went on the possibility for “the death sentence” became harder to get, capital offences were now limited to premeditated murder and the murder of a police officer, guard, or warren during duty (1961). After this rule was put into affect soon after came new conditions that capital punishment can only be given to the offences of killing an on-duty police officer and prison guards (1966). Finally, capital punishment was removed and has been replaced with a life sentence without possibility of parole for 25 years (1976).
If “Two Fishermen” were to take place in Canada I think it would’ve been sometime in the 1930’s. My reasoning why is because back then certain towns were very small especially in Canada so with everything being so close together and being able to walk to a nearby lake and everyone knowing each other. The way the characters in the story communicated between each other was a give away as well. The reason I didn’t say any earlier was because there were cars that sped away and cars didn’t really become popular until the 1920’s and 1930’s.
I feel as if Thomas Delaney should not have been killed. He did the hangman’s job for him and killed the man who raped his wife and back then if you raped someone that was considered a punishment fit for the death penalty. Another reason why Thomas killing that man was justified was because if somebody were to do that to one of your family members, chances are you would have the same kind of feelings Thomas was having, he on one hand acted on those feelings which got him in this situation. In the end, I think Thomas should’ve just let the government do its job instead of taking it into his own hands and doing it for them. the last reason I have that Thomas Delaney should not have been killed for his actions is, what did it solve? It didn’t bring back the life of the rapist and it didn’t bring his family any ease of mind knowing he’s dead for avenging his wife.
what I learned this week in math is how to calculate the sum of infinite geometric series.
taking a look at the equation it says the sum of infinity equals the first number of your geometric series divided into 1 minus your common ratio for the series which is the term multiplied by the common ratio to give you the next term
so for this infinite geometric series the sum of all the numbers will come so close to the number 24 that it will basically equal 24
if the common ratio in an infinite geometric series is a decimal that means the series is converging and you can actually find a sum but if it isn’t a decimal then it is diverging which means you cannot find the sum
the reason why the arrow is reversed is because of a combination of refractions. the light travels and finds its way to the front of the beaker and the light refracts off the glass into the water into the other side of the beaker and then finally to the arrow which makes it look inverted
Constructive waves are waves that are moving towards each other in the same direction. when they meet somewhere in the middle the two amplitudes conjoin and it makes one big amplitude and after they pass they go back to the way they were before
Destructive waves are waves that are moving towards each other but one amplitude is opposite the other. When they meet the amplitudes cancel each other out then after they pass they go to the way they were before
Why was it invented? : Back in the day people were building their castle walls higher and weaponry could not take them down so they invented the catapult which could break down these walls
Short term implications? : it was a major advance in weaponry at the moment because no one had seen anything like it and it was shown effective.
Long term implications? : we don’t really use catapults anymore because of gun powder and missiles now and there aren’t as many castle walls to be torn down
here are some pictures of the finished project and the process it took to build it.
the physics behind it: for ours all you have to do is apply force to the arm of the machine and the tension of the object it wants to go back in place so when it snaps back in place the object in the little cup will go flying because of inertia
our process of building the machine: the first day was pretty tedious with all the measurements and making sure everything is equal so that our catapult and then it came to cutting the pieces out and it had to go through the table saw more than once for perfection. Day 2, we started assembling and hot gluing the wood together but we didn’t have clamps so what we did is we hot glued and then we taped it really tight together so it had no wiggle room. after a while we eventually had to shoot some staples in there for extra stability. Day 3, it came to figuring out the arm situation and how much pressure you can put on it, I had to test that out and I snapped it almost immediately so we had to reinforce it with two other small pieces of wood. Day 4, it came time to test the machine out and it turned out alright, the ball traveled more vertically than horizontally but that’s okay too.
in fitness 11 my goal is to get to 180lbs and I truly believe that that is an achievable goal seeing as I started at 160lbs and I’m already at 165lbs in such a short amount of time and my diet has consisted of mostly protein and natural fats (nuts, avocados, and such are in the natural fat category) with the occasional cheat day