The sum of ten positive odd numbers is 20. Some numbers may repeat, find the largest number that is used in this sum.
1 answer:
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Answer:
is not equal to
Step-by-step explanation:
When a power of 10 is positive the dot must be moved to the right, and when the power of 10 is negative, the dot must be moved to the left.
For example and
So
wich is clearly not equal to 0.000002015
the correct scientific notation for 0.000002015 must be:
With a negative in the power of 10, referring to a small quantity.
Answer:
There are 21 emperor penguins at the zoo
Step-by-step explanation:
The total number of penguins in the zoo
The percentage share of emperor penguin in the total population of penguin %
Number of emperor penguins at the zoo
There are 21 emperor penguins at the zoo
9514 1404 393
Answer:
- graph is shown below
- absolute max and min do not exist
- local max: 0 at x=0
- local min: -500/27 ≈ -18.519 at x=10/3
Step-by-step explanation:
The function is odd degree so has no absolute maximum or minimum. It factors as ...
g(x) = x^2(x -5)
so has zeros at x=0 (multiplicity 2, meaning this is a local maximum*) and x=5.
Differentiating, we find the derivative of g(x) is zero at x = 0 and x = 10/3.
g'(x) = 3x^2 -10x = x(3x -10) ⇒ x=0 and x=10/3 are critical points
The value of g(10/3) is a local minimum. That value is ...
g(10/3) = (10/3)^2((10-15)/3) = -500/27 ≈ -18.519
__
The local maximum is (0, 0); the local minimum is (10/3, -500/27). The graph is shown below.
_____
* When a root has even multiplicity, the graph does not cross the x-axis. That means the root corresponds to a local extremum. Since this is the left-most root of an odd-degree function with a positive leading coefficient, it is a local <em>maximum</em>. (The function is <em>increasing</em> left of the left-most turning point.)
