Week 3 in Precalc 11

This week in Precalc 11 we learned how to simplify radical expressions. We learned about how to write mixed radicals as an entire radical.

An example of this is that you would take a mixed radical and solve it to simplify it.

2 \sqrt[2]{7}

and then the next step is that you would add the 2 underneath it for example under the radical it would look like 2-2-7

then the second step would be to multiply it together which would be 28

so then 2 \sqrt[2]{7} would equal to \sqrt[2]{28}

 

I struggled a lot with the first day of learning how to solve to make it more simple, but once I worked on looking and breaking down what the equation was in my head it ended up being much easier, lately ive struggled with over complicating the questions in my head and then getting them wrong.

Week 2- Pre Calculus 11

This week in pre calculus 11 we learned the other half of our sequence and series, we introduced geometric sequences, we learned that each term is multiplied by a constant, known as the common ratio like in the past week with series it was called the common difference. Tn-1 means the term in front of Tn.

 

The equation for geometric sequences that we learned was:    and i learned that r could never equal 1

 

For me a trick that helped is instead of writing the a1 at the top of the formula i would replace it with t1 because for me looking at the equation it makes more sense because they mean the same thing, i also like to write the common ratio as: CR instead of r so it in my mind it doesn’t look like a variable for a number.

 

We also learned about finite geometric series which is different from geometric sequences for example

 

3,13,48,192: is a geometric sequence

3+12+48+192 is a geometric series

In some of the question to find the answers we had to go back to the week before and use the formulas that we learned from the past week using the equation for tn first and then using our new sn equation

Week 1- Precalculus 11

This week in pre calculus we re entered some past ideas of sequences and series and learned about arithmetic sequences.

One thing that i really struggled with this week was finding the starting equation that i needed to solve for what the question was asking me. I kept confusing in my head which equation i needed to do for finding either what N was or what the common difference was. I remembered learning that to find a term the equation was:

Tn=T1+(n-1)d

and to find the series the equation is:

Sn= n/2 (T1+Tn)

and now that I know which those starting equations you can make the equation specific that you need for example:

Tn= -16+ (-5) (9)

Tn= -16 – 45

Tn= -61

 

I found that once I broke down the equations it was much easier for me to continue to find the correct equations I needed to continue having a good working habit.

Darwins theory of evolution.

How did the discovery of DNA prove that Darwin’s theory of evolution was correct and how does it change the way we view evolution today and into the future?

Darwin’s theory of evolution was survival of there fitness meaning how well they adapted and survived in their environment, the Galapagos finches all had different types of beaks based on their environment and how they needed to use them. The discovery of DNA proves that Darwin’s theory of evolution is correct because species have adapted over the years and mutations have been made in their DNA code based on how well it will help them in their environment and helping them survive. Darwin’s theory changed the way we view evolution today and into the future because before Darwin’s theory many believed that it was just god who created a new species and his theory had everyone question their beliefs and what was true and what was not his theory proved that we are all related to species we may not think we are such as fish. His theory has opened up peoples minds to full possibilities and now we have come up with ways to cross breed cells and organisms to expand into more species and in the future the mutations that are happening to the species that are un wanted we can eventually remove. The sequence in the DNA strand is what makes all of us different and before Darwin’s theory we would have not believed that we could be so close to other species for example how humans are only 1% different in their DNA than chimps. In Conclusion, Darwin’s theory has changed the thoughts of many people in this world and is one of the main starting points for all of science and evolution today.

 

 

 

Rubegolberg physics project- adventure land (water bottle cap)

IMG_8822-1racn72

 

 

 

 

 

 

 

Explanation of all the steps:

A little lego guy (A) is released from a wooden tower down a zip line and hits the marble ball (B) down the wooden ramp (C) after the ball goes to the end of the wooden ramp it will fall into the paper cup (D) and will come out the bottom which will make it land on the set mous trap (E) once the mouse trap goes off it will hit the dominos (F) and they will all fall which will cause the marble (G) on the wood ramp to roll down and hit the next set of dominos (H) once they go off they will cause the tennis ball (I) to fall into the plastic cup (J) and out of the bottom hole onto a binder/ ramp (K) which will then hit the upside down bottle (L) at the end forcing it to be hit off the chair and onto the ground where the duck tape will catch it and make it land on its cap.

Energy Transfers:
(A) Kinetic to (gravitational) Potential
When the lego man is going down (kinetic) the zip line he stops ( potential) when he hits the marble.

(E) Kinetic to Sound/ Elastic

When the marble falls (kinetic) onto the mouse trap it creates a loud sound (sound).

When the marble falls (kinetic) onto the mouse trap it the spring (elastic) closes the mouse trap.
(G)Potential to Kinetic

When the marble is still (potential) It is then hit by the dominos causing it to move (kinetic) down the ramp.

Making babies 101 traits

 

We decided to name our child Rupual, he has wavy medium brown hair, blue large round eyes that are average distance apart, long eyelashes, average sized mouth with thick lips light brown thin eyebrows, freckles on his cheeks, a small rounded nose shape and nostril shape, he has attached earlobes with absent ear points and absent ear pits, his skin color is a light brown.

 

Answer the following questions:
a. How does the coin flip relate to the probability of inheriting genetic conditions?

It makes the probability exact because you have a 50% chance of inheriting genes from both your mother and father. Shown with the coin flip of you also having a 50% chance of landing on either side.

b. How does this simulation accurately represent or not represent real life?

It doesn’t represent real life because some of the traits listed are not all traits that your real parents would have, and if both parents had blue eyes and the child had brown there is no trace of brown in the ancestry than it wouldn’t make sense, it is represented accurately because there is a 50% chance of receiving the different traits if your parents do have them.

Did you identify any prejudices you might have about what traits you find “desirable”? Where do you think these prejudices come from?

Yes there were certain traits that are more desirable then other, for example I wouldn’t want my child to have a una brow because the stereotypes in the world point them to a negative image.

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