Answer:
60
Step-by-step explanation:
100% = 80,
75% = 80/100*75= 60
For the derivative tests method, assume that the sphere is centered at the origin, and consider the
circular projection of the sphere onto the xy-plane. An inscribed rectangular box is uniquely determined
1
by the xy-coordinate of its corner in the first octant, so we can compute the z coordinate of this corner
by
x2+y2+z2=r2 =⇒z= r2−(x2+y2).
Then the volume of a box with this coordinate for the corner is given by
V = (2x)(2y)(2z) = 8xy r2 − (x2 + y2),
and we need only maximize this on the domain x2 + y2 ≤ r2. Notice that the volume is zero on the
boundary of this domain, so we need only consider critical points contained inside the domain in order
to carry this optimization out.
For the method of Lagrange multipliers, we optimize V(x,y,z) = 8xyz subject to the constraint
x2 + y2 + z2 = r2<span>. </span>
Answer:
21x²
Step-by-step explanation:
hopefully A is a typo
Step 1: <span>Set up the long division.
_______
4| 3 2 2 0
Step 2: </span><span>Calculate 32 ÷ 4, which is 8.
</span> __ 8____
4| 3 2 2 0
3 2
Step 3: Bring down 20, so that 20 is large enough to be divided by 4.
__ 8____
4| 3 2 2 0
3 2
_________
2 0
Step 4: Calculate<span> 20 ÷ 4, which is 5.
8 0 5
</span> ________
4| 3 2 2 0
3 2
________
2 0
2 0
____
Step 5: Therefore,<span> 3,220 ÷ 4 = 805.
The answer is 805
Done! :)</span>
Answer:
He made 16 groups which means 5 Students in each group
Step-by-step explanation:
Because 80 divided by 16 is 5 and 5 is a prime number
