Answer:
7
Step-by-step explanation:
1 / ((n + 1) + 2)³ ≤ 0.001
1 / (n + 3)³ ≤ 0.001
(n + 3)³ ≥ 1000
n + 3 ≥ 10
n ≥ 7
If he cuts the board into 7 pieces, that will require 6 cuts with his saw. Therefore, he will lose 6 * .125, or .75 feet for all of the cuts, resulting in 17.25 feet in total after the cuts.
D = sqrt(3s^2) where s is the length of the side. Solving for s,
<span>3s^2 = d^2 iff </span>
<span>s^2 = d^2 / 3 iff </span>
<span>s = sqrt(d^2 / 3) </span>
<span>= d / sqrt(3) or d sqrt(3) / 3 </span>
<span>Surface area of the cube = 6 s^2. Thus, </span>
<span>A = 6 (d / sqrt(3))^2 </span>
<span>= 6d^2 / 3 </span>
<span>= 2d^2 </span>
<span>Volume = s^3. Thus, </span>
<span>V = (d / sqrt(3))^3 </span>
<span>= d^3 / 3sqrt(3) </span>
<span>= d^3 sqrt(3) / 9</span>
Answer:
42.64
Step-by-step explanation:
The range is the difference betweem the largest and smallest NUMBERS in the whole piece of data. The IQR is the difference between the largest and smallest QUARTILES. For example, if you had the data 1,2,3,4,5: 5-1=4 would be the range and...(4-2)=2 would be the IQR. Hope this helped! :)
