PLEASE HELP ME <br> ILL GIVE YOU BRINIEST

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

bezimeni [28]

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".

5 0

3 years ago

Helppppl pls I’m begging u

AlexFokin [52]

Answer:

4. James' hand

5. Salvador's plane traveled the furthest and Jennifer's plane traveled the shortest.

Step-by-step explanation:

4. James' hand is bigger because 0.17>0.165. You can add as many zeros to the end of each of them as you would like. You can think of this word problem as 0.170 versus 0.165. Or, if you needed to, you could pretend like they're whole numbers, and it would be 170 versus 165. Either way, 0.170 is going to be bigger than 0.165.

5. Salvador's plane traveled the furthest. Jennifer's plane traveled the shortest distance. All three numbers have a 3.3 in them. Now, it's a matter of who has the highest number in the blank after the 3.3: 3.3_. Because Jennifer's plane had a 0 in the blank, she traveled the shortest distance. 5 is bigger than 4.5, so Salvador's plane (the 3.35 one) traveled furthest.

4 0

3 years ago

If f(-3) = -8, write a function rule

Anettt [7]

You want to figure out the relationship between -3 and -8. the simplest one is subtraction: -3 - 5 = -8

your x value, -3, minus 5 equals -8, your y value

so the rule for this is x - 5 = y

4 0

3 years ago

If s(x) = 2 – x² and t(x) = 3x, which value is equivalent to (sof)(-7)?

mylen [45]

Answer:

- 439

Step-by-step explanation:

evaluate f(- 7) and substitute the value obtained into s(x)

f(- 7) = 3(- 7) = - 21 , then

s(- 21) = 2 - (- 21)² = 2 - 441 = - 439

6 0

2 years ago