Answer: Craig's household use of water during the billing period = 129 CFC
Explanation:
Since we have given that
Craig's June water meter's previous reading =6372 CFC
Craig's water meter's present reading =6501 CFC
Craig's household use during the billing period =6501 -6372= 129 CFC
So, we get that
Craig's household use of water during the billing period = 129 CFC
Answer:
see below
Step-by-step explanation:
Part A
Angles 1 and 5 are alternate angles (z angles), which means they are equal.
Similarly, angles 3 and 6 are alternate (z angle), which means they are equal.
Part B
Angles on a straight line add up to 180°.
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:
see explanation
Step-by-step explanation:
a
f(0) means find the value of y when x = 0
That is f(0) = 1 ← the point (0, 1) on the graph
b
When f(x) = - 3 means what are the values of x corresponding to y = - 3
From the graph when y = - 3 there are 2 corresponding values of x, that is
x = - 2 or x = + 2
The solution to f(x) = - 3 is x = ± 2
The # halfway in between 21 and 63 is 42.
