Math 10 – Week 17

This week we review the final exam.

It’s about GCF(greatest common factor), LCM(least common muitples), slope, Pythagorean Theorem, and relations.

First of all, GCF. For example, 90 and 225, 90=2*3*3*5. 225=3*3*5*5. GCF=3*3*5, GCF=45.

LCM. For example, 30 and 36. 30=2*3*5, 36=2*2*3*3. LCM=2*2*3*3*5, LCM=180.

The next one is pythagoren Theorem. 

Hypontenuse (longest side) = a2+b2=c2.

We have three ratio: Sine ratio=o/h, Cos ratio=a/h, Tan=o/a. 

And then we learned the relation part.

The cost of jujubes is related to the weight.

Cost=dependent, y, output, range, Weight=independent, x, input, domain. 

And other important thing is x-intercept=(x,0). y-intercept=(0,y).

Domain is x scope, Range is y scope.

Math 10 – Week 16

This week we leared about arithmetic sequences. 

For example: 8, 14, 20… They add six every time, so t4=26, t5=32, t6=38.

And then there’s another type of question. ( ), ( ), 0, ( ), ( ). d=3.

So we can know they add by 3 every time. So the anwser is -6, -3, 0, 3, 6.

There are another two questions here.

1: If t2=10 and t6=34, determine t1 and the general term(tn).

We can use the step before, we can write t1-t6 down. Then we can know, t2 to t6 need 4d.

So we can write: t2+4d=t6. And turn them into Numbers. 

10+4d=34, 4d=24, d=6.

t1=t2-d, t1=4.

tn=t1+(n-1)(6). This is a formula: tn=t1+(n-1)d. 

tn=4+6n-6, tn=6n-2. So this is the anwser.

Other example is: Given the sequence: x+2, 3x-1, 2x++1… determine what x would be to make this an arithmetic sequence..

   Find d= tn-tn+1. 

d=(3x-1)-(x+2)       d=(2x+1)-(3x-1)

=3x-1-x-2                   =2x=1-3x+1

=2x-3                          =-x+2

And then we need: 2x-3=-x+2

3x-3=2

3x=5, x=5/3.

Space project

                                                                         What does space smell like?

  Smell is an indispensable part of our life. The smells we smell on earth are odorless, if we can breathe in space, so I asked the question, what does space taste like? My initial idea was: The smell of space is pungent. Because there are 92 chemical elements on earth, and these elements also exist in space, one few, one many. In addition to the 92 elements, there are various subatomic particles in space. These particles have also been found on earth (or made in particle accelerators). There are so many material in the space, so I thought space smell like pungent. After my research on this issue, my final opinion is: smell of metal, or charred steak.  

  My question is: what does the space smell like?If I want to know what space smell like, I need to know what’s in it and what does space contain. Through searching the information, I know: There are Jupiter, Saturn, Uranus, Venus, and so(*1) There are an infinite number of planets in space. Jupiter smell of which has been likened to bitter almonds, or marzipan. Uranus has no smell. Venus smells like rotten eggs.(*2) So space smells different. And space contain mostly hydrogen atoms, sulfurous. There are lesser amounts of helium and lithium atoms. This question reflects the smell of space.  

1https://www.science.org.au/curious/space-time/smells-space-planets 

2: https://www.space.com/24870-what-is-space.html 

 

  The third small question, is Does temperature affect smell? On earth, temperature affects smell. For example, when it rains, the smell is moist and fresh. On a hot day, the smell changes with the temperature. In space, The temperature in outer space is 2.73 Kelvin (-270.42 Celsius, -454.75 Fahrenheit).(*1) The temperature in space is minus 272 degrees Celsius, I think the temperature will affect the smell. The fourth small question, is Disappear stars have any effect on the smell of spaceI think Disappear stars have effect on the smell of space. There is a special smell at the edge of the universe. This smell smells like the smell of high-speed combustion of oil in cars, that is, the smell of hot metals and diesel. This strange smell exists in The causes of the edge of the universe are mainly from those dying stars. After my search, I finally came to the answer: space is the smell of burning metal. The last question is: Disappear stars have any effect on the smell of space? Disappear stars have effect on the smell of space. There is a special smell at the edge of the universe. This smell smells like the smell of high-speed combustion of oil in cars, that is, the smell of hot metals and diesel. This strange smell exists in The causes of the edge of the universe are mainly from those dying stars.(*2)  

1: https://www.scienceabc.com/nature/universe/what-is-the-temperature-of-space.html 

2: https://www.science.org.au/curious/space-time/smells-space 

 

  Conclution: Through my search, space smell like the smell of burnt metal. Space contains mostly hydrogen atoms.  There are lesser amounts of helium and lithium atoms. There are so many planets in space. Such as: Mars, Jupiter, Uranus, Venus… Every planet has a different smell. So they affect the smell in the space. I think the temperature will affect the smell. The temperature in space is minus 272 degrees Celsius, Although people can’t breathe normally in space, their olfactory receptors become more sluggish. So that’s why People experience the same smell differently in cold and hot environments. The last question is “Disappear stars have any effect on the smell of space?” The short answer is dying stars. Louis Allamandola, director of NASA’s astrophysics and astrochemistry lab, says that as stars combust, they release polycyclic aromatic hydrocarbons, which explains the smell. These molecules can also be found on Earth in things such as soot, car exhaust, burnt toast and charred meat. When the doomed planet disappears, there is a smell of burnt metal. And that’s the answer to my question. Space smell like burnt metal.  

 

Picture: https://sd43bcca-my.sharepoint.com/personal/132-wzhou_sd43_bc_ca/_layouts/15/doc.aspx?sourcedoc={3f2cec12-7d5e-4583-8b20-e7457c692785}&action=edit

Video: https://www.youtube.com/watch?v=Dn23GbsWJjE 

Week 15 – Math 10

This week we learned about systems of linear equations.

There are four ways: 1. If you have a separate x or y, write the separate x or y as: x=.Y =.

2. I have minus 3y in both, and 3y is zero pair.I can just cancel out

3. If you don’t have the same x and y, and you don’t have minus 3y and 3y, you have to turn an x or a y into a positive or negative number.

4. Find the least common multiple.

And we also learned elimination and substitution.

Elimination: 4x+2y-31=0, -4x+6y-13=0. 4x and -4x can Directly to cancel.

Substitution: Let’s get an x or a y out.

Week 14 – Math 10

This week we learned verifying a solution.

1 solution: m1 Is not equal to m2. no solution: m1=m2, b1=b2. coincident solution: m1=m2, b1=b2.

And then we learned substitution.

An algebraic method of finding solution for systems.

For example, x+4y=-3 ->x=-4y-3

3x -y=29.

First, we nned to find the x or y who is It’s independent. It’s easy to calculate.

3(-4y-3)-7y=29.

-12y-9-7y=29.

-12y-7y=29+9=38.

-19y=38, y=-2.

We know y=-2, We can substitute y into the original formula. So the answer is (5, -2).

Steps: 1 pick one equation and rearrarrge so it is x or y.

2 substitute this into the other equation. (use brackets)

3 solve equation.

4 substitute the number just found, back into the rearranged equation.

5 verify solution.

Week 13 – Math 10

This week we did the wonky initials project.

First, we need to draw the first letter of our name on the graph. It has to be horizontal, vertical, and diagonal. My three letter are: Z, Y, and W.

We need to write down the coordinates. (Z) X: -14, -12, -5, -5. Y: 11, 3, 11, 4. And then we need to look at the slope of Z. m=8/7. And find x and y. I calculated it by the slash at the bottom, so I want to find the coordinates of the slash. (-12, 3). Finally, we need to use the formula, m(x-x1)=y-y1. m=slope. 8/7(x+12)=y-3.

Based on this rule, let’s figure out Y and W again. And then you can connect the letters.