<p>Pg. 737 #15, 16, 17 and pg 738 #19</p>
<p>Thanks!!</p>
<h1>15. A cube is found by multiplying the same factor three times (x)(x)(x). Take the cube root of 8, and each side has a length of 2. If you're in the center, then there's 1/2(2) to the base, so the length is 1.</h1>
<h1>16. For this I just substituted in any two numbers for x and z. Note the answer when it's those two random numbers, note the answer when they're doubled and compare them. Not the most algebraic way, but it works.</h1>
<h1>17. V(n) = 3200 since this is what we're trying to find.</h1>
<pre><code> 3200 = 5000(4/5)^n
3200/5000 = (4/5)^n
0.64 = 0.8^n
log(0.64)/log(0.8) = 2
</code></pre>
<h1>19. Since the median relies on the order of values and the numerical value of the median, just think about the effects of each option.</h1>
<pre><code> - If you double each value, then the median will be 2x instead of x.
- If you add 10 to each value, then the median will be x+10 instead of x
- If you increase the smallest number only, it could potentially switch places with another number, which could change the median.
- If you decrease the largest number, again, it could switch places with a number lower than your median, hence changing its position.
Which leaves the last option. If you add something to the greatest value, it's not going to change the value of the median because it has nothing to switch places with and has no bearing in finding the median.
</code></pre>
<p>Thanks for much! By why is there 1/2(2) to the base in #15?</p>
<p>Well, if it's in the center, it's halfway between the base and the top. If the entire length of the side is 2, then it's at point 1.</p>
<p>I'm so bad with terminology ;_;</p>
<p>I get it. :) Thanks again!</p>