Question:
A planting bed contains 0.75 tons of soil. A landscaper will apply fertilizer to the bed. The directions say to apply 1 ounce of fertilizer for every 100 pounds of soil.
How many ounces of fertilizer should the landscaper apply?
Answer:
15 ounces
Answer:
They are all in slope and intercept form already
Step-by-step explanation:
This depends on how many friends she has. Like if she has 72 friends each will get one of each, but if she has 3 friends than each will get 24 on each. Do you know how many friends she has?
The fraction 22/7 has a value of 3.142857, so it has the same first three digits as pi. Both 3.14 and 22/7 are approximations of pi. In fact, 22/7 is close to pi than 3.14 is. Pi is irrational. That is, the decimal expansion never ends and never repeats, so any number of decimal places we wrote out is an approximation. The approximation 3.14 is about 1/2 percent off from the true value, and the fairly well know 3.141559 is within 0.000084 percent.
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>
