1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Zina [86]
3 years ago
14

(98 pts + Brainliest) Question regarding logarithims and point slope form

Mathematics
1 answer:
bezimeni [28]3 years ago
5 0

You are right in thinking that the base of the logarithm doesn't matter. It only affects the spread of the data points if you were to plot them, but would not ultimately have any effect on the slope of the line (but it would on the y-intercept).

One major discrepancy I'm noticing is in the values you found for \ln\sin\theta. For example, if \sin\theta=0.05, then you should have \ln\sin\theta=\ln0.05\approx=-3.0. Not sure how you got -7.0, and the same goes for the rest of your table of values.

Another thing is that the provided solution suggests you take the average the first and last pairs of consecutive data points, and use these values in the slope formula to obtain the best-fit line's slope. If that's the case, then you should have

\dfrac{\Delta\ln x}{\Delta\ln\sin\theta}=\dfrac{\frac{1.86+1.72}2-\frac{2.65+2.28}2}{\frac{-5.4-5.3}2-\frac{-7.0-6.4}2}=\dfrac{1.79-2.47}{-5.35+6.7}=\dfrac{-0.68}{1.35}\approx-0.5

(i.e. you have to take the average of the given values, then use those averages in the \Delta expressions - but this doesn't significantly affect the slope you found)

Ultimately, I think the problem is that your expression for the slope appears to be \dfrac{\Delta\ln x}{\Delta\ln\sin\theta}, when the solution says it should be the reciprocal. I'm of the opinion that your slope is correct, since the experiment refers to \theta (and hence \sin\theta) as the independent variable, and so \Delta\ln\sin\theta would serve as the "run" and \Delta\ln x would serve as the "rise".

You might be interested in
Y/4= -19<br> what is y?<br> Find what y is
statuscvo [17]

Answer:

y= -76

Step-by-step explanation:

y/4=-19

*4  *4

5 0
3 years ago
Read 2 more answers
Whats the difference of the two expression? (3/7x+9)-(2/7x-3)
Aleksandr-060686 [28]
\left(\frac{3}{7}x+9\right)-\left(\frac{2}{7}x-3\right)\\\\=\frac{3}{7}x+9-\frac{2}{7}x-(-3)\\\\=\frac{3}{7}x+9-\frac{2}{7}x+3\\\\=(\frac{3}{7}x-\frac{2}{7}x)+(9+3)\\\\=\frac{3-2}{7}x+12\\\\=\boxed{\frac{1}{7}x+12}
4 0
3 years ago
Tran jumped 162 times in 9 hours. At that rate, how many times would<br> she jump in 10 minutes?
yawa3891 [41]

Answer:

3

Step-by-step explanation:

you first need to convert 9 hours into minutes:

9*60=<u>5</u><u>4</u><u>0</u> minutes

162 jumps ---in--- 540 minutes

? jumps ---in--- 10 minutes

?= (10*162)/540

?= 3

7 0
2 years ago
How do you interpret a slope and the y- intercept?
nexus9112 [7]
The slope is rise over run, how many times you go up (or if down it'd be a negative) and over.
The y-intercept is what point on the y axis the line passes through
8 0
3 years ago
5. Michael is going to buy a new pair of shoes. The shoes cost $44.20. He has to pay 15% tax on the
solniwko [45]

Answer:

$50.83

Step-by-step explanation:

44.20 x .15 = 6.63

44.20 + 6.63= 50.83

8 0
2 years ago
Read 2 more answers
Other questions:
  • SOMEONE plezzz help<br> (b–2)(b+2)(b^2+4)
    14·1 answer
  • Ms.Cody needs 1.75 yards of fabric to make one pillow. How many yards of fabric will she need to make 12 pillows?
    12·2 answers
  • A tree that is 100 feet tall casts a shadow that is 150 feet long. determine the angle at which the rays of the sun hit the grou
    10·1 answer
  • Determine if the statement is true or false, and justify your answer. Suppose A is a matrix with n rows and m columns. If n &lt;
    5·1 answer
  • Help me plz I don’t really understand geometry
    10·1 answer
  • Enter a range of values for x.
    6·2 answers
  • Stuck on this question
    9·1 answer
  • Sonji paid $25 for two scarves, which were different prices. When she got home she could not find the receipt. She remembered th
    7·1 answer
  • Keiko sold 3 less than three-fourths of his sister's sales. Which expression represents what Keiko sold?
    12·2 answers
  • What is the total number of digits required in numbering the pages in a book which has 1,724 pages?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!