Answer:
- 1997: 66.00 billion cubic ft
- 1998: 67.19 billion cubic ft
- 2000: 69.63 billion cubic ft
- 2010: 83.23 billion cubic ft
Step-by-step explanation:
For repetitive calculations, it is convenient to let a spreadsheet or calculator do them. See attached for the table of values and the graph. The graph is that of an exponential curve. Its slope increases at an increasing rate.
Answer:
1) The 38th term is A. 38
2) The 11th term is D. 3072
3) The 3rd term is C. 34
Step-by-step explanation:
1) I added 2 until I got to the 38th term.
2) I multiplied until I got to the 11th term.
3) I added 3 until i got to the 12th term.
The teacher showed a more complex way to do it but this is just what I did.
I took the quiz, so I know that I got them all correct.
The distance between an arbitrary point on the surface and the origin is
Recall that for differentiable functions
and
, the composition
attains extrema at the same points that
does, so we can consider an augmented distance function
The Lagrangian would then be
We have partial derivatives
Set each partial derivative to 0 and solve the system to find the critical points.
From the second equation it follows that either
or
. In the first case we arrive at a contradiction (I'll leave establishing that to you). If
, then we have
This means
so that the points on the surface closest to the origin are
.
Answer:
0.5r
Step-by-step explanation:
If Jerry took half the time Macy did then that means Macy took twice as long as Jerry. If Jerry’s speed was r then Macy’s speed is 0.5r or half the speed of Jerry. This will mean Macy goes half as slow and takes twice as long to get there.
The question does not make sense.
The commutative property applies to addition and multiplication, not addition and subtraction.
The commutative property does not apply to subtraction or division because in those operations, the order of the numbers makes a difference, whereas in addition and subtraction the order does not make a difference.
For example:
Addition
5 + 4 = 9
4 + 5 = 9
5 + 4 = 4 + 5
Changing the order of the 4 and the 5 gives the same answer.
The commutative property does apply to addition.
Multiplication
5 * 4 = 20
4 * 5 = 20
5 * 4 = 4 * 5
Changing the order of the 4 and the 5 gives the same answer.
The commutative property does apply to multiplication.
Subtraction
5 - 4 = 1
4 - 5 = -1
5 - 4 is not equal to 4 - 5
Changing the order of the 4 and the 5 gives a different answer.
The commutative property does not apply to subtraction.
Division
5/4 = 1.25
4/5 = 0.8
1.25 is not equal to 0.8.
Changing the order of the 4 and the 5 gives a different answer.
The commutative property does not apply to division.
