Official Act Math Thread June 2013

<p>What was the one about the girl and the fence for which she was only doing 3 sides of fenicing? 252?</p>

<p>Wow :frowning: I’m sad now</p>

<p>Can someone explain to me the answer to the log(2x)^1/2?</p>

<p>I thought it was log 2 + 1/2 log x.</p>

<p>They were both raised to the 1/2 power in the problem, so both logs would need the 1/2 in front.</p>

<p>Or if you plug in answers you can see that your answer doesn’t work.</p>

<p>So what was the answer to the ferris wheel one?</p>

<p>Sinusoidal. Last year in math we did a lot of Ferris wheel problems during our trig unit</p>

<p>the log one was 1/2 log 2 + 1/2 log x, which equals log2x^(1/2)anyone disagree?</p>

<p>1/2(log2 + log x) = 1/2log2 + 1/2logx</p>

<p>You have to distribute the 1/2 to both terms</p>

<p>@emnem26 sinusoidal starting down right?</p>

<p>but the velocity was constant. also height is growing at a constant rate, it doent skip any numbers.</p>

<p>Snayyan09 what you are thinking of is that ride where people go straight up and down, height isnt growing at a constant rate, think about it. your velocity is constant but your height is increasing at a greater rate from 0 to 45 degrees then from 45 degrees to 90 degrees, not only do you have vertical motion but you have horizontal motion as well. past 45 degrees, you gain much more horizontal motion, decreasing the vertical height change</p>

<p>i can’t explain this without a picture but it seems to me that the height is also constant becuase the wheel is turning at the same speed each revolution</p>

<p>sin(0)=0
sin(20)=0.34202014332
difference is 0.34202014332 and 20 degrees</p>

<p>sin(70)=0.93969262078
sin(90)=1
difference is 0.06030737922 and 20 degrees</p>

<p>change in height changes</p>

<p>i dont think you can do that since the wheel is curved and you can’t make a triangle out of it.</p>

<p>Snayyan just think about it. At the bottom of the ride you are gaining almost no height, most of the motion is horizontal. But when you are about 90 degrees up, you are gaining mostly height and very little horizontal distance. So it’s sinusoidal.</p>

<p>For the standard deviation one:</p>

<p>It was 2 standard deviations, correct? What was the answer/percentage, then?</p>

<p>Just curious if I got that one or not.</p>

<p>its not triangles, im finding the height of the circle at 20 degrees and 70 degrees</p>

<p>okay you’re probably right, i wasnt’t thinking about the horizontal movement at the top and bottom but wouldnt there be a point on the graph where it is constant (linear). Areas where the side movement or am i wrong?</p>

<p>Pretty sure it was on of the easiest questions, but I had to guess:
The one a out turning the parabola 90 degreez clockwise. What was the formula?</p>

<p>was the question asking about the velocity or the height? if it the height then yes, you’re right.</p>