<p>[UPDATED x2] I’ll post here the answers everyone has listed so far in addition to some that I got:
Dice problem: 1/2
Shaded regions: 18
Multiplying fractions problem as x gets greater and greater: 0 (not confirmed)
Simplifying polynomial problem: (W+X)^2-(Y+X)^2
Circle inside circle radius: 1/2x
Large rectangle: 1/2
Slope point problem (slope was like 4/5 and you had to find an equal point): (x+5, y+4)
X intercept: (9,0)
Tan of angle: >0
Geometric series (12, -4, 4/3, -4/9): 4/27
Smallest fraction problem [a is between 2 and 4, b is between 4 and 6, c is between 6 and 8, and d is between 8 and 10… you have to find the smallest number possible given (a/b)(c/d)]: .2 (something is off with the numbers i used in this example, but the concept is right)</p>
<p>@bmanbro thats irrelevant. any fraction repeatedly multiplied by another (as many have stated) approaches zero.</p>
<p>think about it in terms of limits. even the limit of .99999999^n = 0 , because you keep multiplying by less than 1</p>
<p>[lim</a> as x approaches infinity of ((x-1)/(x))*((x)/(x+1)) - Wolfram|Alpha](<a href=“lim as x approaches infinity of ((x-1)/(x))*((x)/(x+1))]lim - Wolfram|Alpha”>lim as x approaches infinity of ((x-1)/(x))*((x)/(x+1)) - Wolfram|Alpha)</p>
<p>its 1.</p>
<p>midpoint problem was 2 right?</p>
<p>yeah, i must have miss read the question then</p>
<p>@wcclir</p>
<p>99.9% sure slope problem is wrong</p>
<p>I got 5a and 4b, because when plugged into the equation (no y intercept)</p>
<p>4b=(4/5)5a</p>
<p>not sure if I totally missed that question. if so, may be cancelling :(</p>
<p>for the slop point problem i thought it was (5a,4b)</p>
<p>5a 4b here 2 yo</p>
<p>@ferlas, unfortunately no. this is an infinite sequence, not just two terms multiplied (refer to my prior example. even though .9999*.9999 may look as if its approaching 1, .9999^x approaches zero as x approaches infinity.</p>
<p>can someone try something like .5 or something not an integer for the n question</p>
<p>no where does it have exponents. where did you get that from?</p>
<p>SOMEONE PLEASE POST THE SLOPE PROBLEM QUESTION.</p>
<p>Wasn’t it where you had to find a point on the line y=4/5x ?</p>
<p>wrote out exponents instead of writing out this : .999 * .999 * .999 … * .999</p>
<p>same idea of multiplying fractions together (infinitely many times), only difference is in this case its the same fraction opposed to different ones.</p>
<p>FOR THE PEOPLE WHO ARE SAYING THAT THE FRACTION PROBLEM IS 1:</p>
<p>If you are going to say it is 1, COMPLETELY explain how you got that using the ENTIRE question asked by the ACT. The question is below</p>
<p>(2/3)<em>(3/4) … ([n-1]/n)</em>(n/[n+1])
It asked what the product was as n approached infinity if n is greater than or equal to 3.</p>
<p>If you cannot give proof that it is 1, all the evidence points that the answer is 0.</p>
<p>its 0 no need to explain</p>
<p>ok the answer the the dice problem was 1/4: it’s essentially the same as saying what’s the probability of getting both heads on a coin toss. 1/2 x 1/2 =1/4
and the slope problem is (a+5),(B+4) (assuming slope is 4/5). It’s rise over run. if the slope were 1 it would be (a+1), (B+1) because you go up one and over one. Hope i helped</p>
<p>THE DICE PROBLEM IS <em>NOT</em> 1/4</p>
<p>PLEASE STOP POSTING ABOUT IT</p>
<p>I provided a very clear explanation a couple of pages back explaining why.</p>
<p>your wrong about the slope problem and your wrong about the dice problem</p>
<p>The dice is 1/2. With your coin flip example, 1/4 is getting both heads, 1/4 is getting both tails, where is the other 1/2?</p>
<p>Yes, dice is 1/2 and the fraction questions approaches 0, explanations are provided earlier in the thread. Still wondering about slope though, the other answer is starting to make sense (a+5)(b+4) but I’m not sure</p>