Answer:
I believe the answer is C. 90 degrees
Step-by-step explanation:
First you find the lengths of the two vectors, which are both 
. Then you find the angle given the cos using: cos(∅)=
= 
= 0. Then using ∅=acos(0)=
= 90°
Surface area of box=1200 cm²
<span>Volume of box=s²h </span>
<span>s = side of square base </span>
<span>h = height of box </span>
<span>S.A. = s² + 4sh </span>
<span>S.A. = surface area or 1200 cm², s²
= the square base, and 4sh = the four 'walls' of the box. </span>
<span>1200 = s² + 4sh </span>
<span>1200 - s² = 4sh </span>
<span>(1200 - s²)/(4s) = h </span>
<span>v(s) = s²((1200 - s²)/(4s)) </span>
<span>v(s) = s(1200 - s²)/4 . </span>
<span>v(s) = 300s - (1/4)s^3</span>
by derivating
<span>v'(s) = 300 - (3/4)s² </span>
<span>0 = 300 - (3/4)s² </span>
<span>-300 = (-3/4)s² </span>
<span>400 = s² </span>
<span>s = -20 and 20. </span>
again derivating
<span>v"(s) = -(3/2)s </span>
<span>v"(-20) = -(3/2)(-20) </span>
<span>v"(-20) = 30 </span>
<span>v"(20) = -(3/2)(20) </span>
<span>v"(20) = -30 </span>
<span>v(s) = 300s - (1/4)s^3 </span>
<span>v(s) = 300(20) - (1/4)(20)^3 </span>
<span>v(s) = 6000 - (1/4)(8000) </span>
<span>v = 6000 - 2000
v=4000</span>
Answer:
After 8 days, the stock lost 32 dollars.
Step-by-step explanation:
If 4 dollars fell every day for 8 days, it would be 32 dollars because 4*8 is 32.
Answer:
x > -1 or x < -1
Step-by-step explanation:
For the first equation, 5x-29 > -3
Step 1: Move the constant to the right and change its sign
5x-29 > -34
5x > -34+29
Step 2: Calculate the sum
5x > -34+29
5x > -5
Step 3: Divide both sides of the inequality by <em>5</em>
5x > -5
x > -1
<em><u>Answer</u></em><em><u>:</u></em> -1
For the second equation, 2x+31 < 29
Step 1: Move constant to the right and change its sign
2x+31 < 29
2x < 29-31
Step 2: Calculate the difference
2x < 29-31
2x < -2
Step 3: Divide both sides of the inequality by 2
2x < -2
x < -1
<em><u>Answer</u></em><em><u>:</u></em> x < -1
