A product that I consume on a daily basis is water. If the price of a water bottle went up and my income decrease I would stop buying water.

A product that people still buy regardless of its price would be the iPhones.

Name a product that people would still buy regardless if the prices increases or decreases?

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How do you feel about the class?

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These are my attempts to trace sail boat 2 and 4. Hold the applause please. What boats did you trace?

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Since 212 is not a power of 5, then I will have to use logs to solve this equation. I could take base-5 log of each side, solve, and then apply the change-of-base formula, but I think I’d rather just use the natural log in the first place:

5^{x} = 212

ln(5^{x}) = ln(212)

*x · *ln(5) = ln(212)

$x= ln(5) ln(212) $

…or about 3.328, rounded to three decimal places.

How else can an earthquake be measured?

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A logarithm is an exponent (power) to which a base number must be raised to yield the same result. The standard logarithm scale is called **base 10. **The term “log” is used when specifying a log scale.

In base 10, the log of 100 = 2:

When basing your equation on base 10, indicating the base is not required as base 10 is implied:

Other bases can be used, such as base 2, or base 3, or even base 25:

The reason for using a log scale is so we can evaluate our data easier. For example, a chart of data can either look like a boring straight line, or with a log system applied, a more dynamic chart is created:

The graph above is nothing in particular, but the blue line will be raw data, and the pink line will be the same data using a base 10 log scale.

What is a good example of a logarithm scale?

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Growth rate is the addend by which a quantity increases (or decreases) over time. For example, compound interest is a growth factor situation: If your investment yields 10% annually, then that means that each year, your total has multiplied itself by 110% (the growth factor is 1.10).

I chose the Chrysler Building which is located in New York and is 1,045 ft. A domino is 5mm so I used the equation 5(1.5)^x.

1.5 is the size difference in each domino, So I did 5(1.5)^13.2 which is 1,055. That means it would take about 13.2 dominos to knock this tower down.

How dominos would it take to knock your building down?

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An example I would say is if I had an input of 5, my output would be 57. We’d have to plug 5 into 5^2+2 which is 27. Then we have to figure out what f(x) is. So far we know that 27+f(x)=57. So basically…

I might have just confused myself.

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This is LaBron Gems and he is considered one of the best basketball player of all time. Lebron James has a 50.10% field goal percentage, which means out of the total shots he tried, he made 50% of them. In order for Bron to increase his ratio to 55%, he would not be able to reach it. As you can see there is an horizontal asymptote. The number of additional shots would be higher than 10,000,000 which is impossible for his lifetime.

Which player in the NBA do you think has a better field goal percentage than bron bron?

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I think the idea Ill use the most is calculating the average rate of change. It is the change in the value of a quantity divided by the elapsed time. For a function, this is the change in the y-value divided by the change in the x-value for two distinct points on the graph. Something I would like to go differently moving forward is having the professor teach more using the white board instead of desmos.

What do you want to do differently going forward?

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Ex) Add 3+5i and 4-3i

(3 + 5* i*) + (4 − 3

= 3 + 4 + (5 − 3)

= 7 + 2

An electromagnetic field, for example, requires imaginary numbers to measure because the strength of the field is determined by both electrical and magnetic components that must be combined into a single complex imaginary number to get an accurate measurement. Is my example helpful?

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