Express in exponential form. log2(x)=3
1 answer:
The relationship between logarithms and exponentials is that they are inverses of each other. That is, they are reflected about the line y = x.
In order to rewrite logarithms, we need to understand the basic fundamentals of them:
This is essentially saying: "If we raise a to the y-th power, we get the answer to b".
Using this, we can say:
In order to rewrite logarithms, we need to understand the basic fundamentals of them:
This is essentially saying: "If we raise a to the y-th power, we get the answer to b".
Using this, we can say:
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Answer:
Step-by-step explanation:
<u>Linear Modeling</u>
It consist is setting up a linear relationship between two variables, given some experimental data. Only 2 points are needed to set up the equation of a line, but if more than 2 points are used, then the result should use statistical approaches like linear regression to find the best-fit line.
For the question at hand, Marty practices his piano lessons 11 minutes the week #1. It provides the first point (1,11). He practices 25 minutes per day on the third week. It gives us another point (3,25). This is enough to find the equation of a line. The general formula for a line, having two points (m1,w1) (m2,w2) is
Let's plug in our values
Simplifying:
Answer:
- Levi
- Christopher
- Roberto
Step-by-step explanation:
I like to work problems involving repetitive calculations using a spreadsheet. The sort function can easily put the results in the appropriate order.
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Here, we need to compute minutes and kilometers remaining for each cyclist, and then divide the former by the latter to find the required timing.
Minutes remaining will be the difference between the qualifying time and the time used so far.
Km remaining will be the difference between the race length and the distance traveled so far.
Required minutes per km will be the ratio of minutes remaining to km remaining.
Levi has the least allowed minutes per km for his remaining distance. Roberto has the most.
_____
Christopher only has to increase his average speed by about 5% in order to qualify; Levi has the greatest challenge, as he needs about 18% more speed for the rest of the race.
