Fawzia has two summer jobs. During the week she works in the grocery store, and on the weekend she works at a nursery. She gets
1 answer:
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Answer:
The correct option is B. two oxygen atoms
Step-by-step explanation:
The molecular formula for carbon dioxide is given by :
Here, the alphabet C stands for Carbon and the alphabet O stands for Oxygen.
And the prefixes of each of these words represents the number of atoms present of the corresponding element in one molecule of carbon dioxide.
So, The prefix of the first word that is C is 1
⇒ One molecule of carbon dioxide contains one atom of Carbon.
The prefix of the second word that is O is 2
⇒ One molecule of carbon dioxide contains 2 atoms of Oxygen.
Therefore, The correct option is B. two oxygen atoms
Answer:
a. A(x) = (1/2)x(9 -x^2)
b. x > 0 . . . or . . . 0 < x < 3 (see below)
c. A(2) = 5
d. x = √3; A(√3) = 3√3
Step-by-step explanation:
a. The area is computed in the usual way, as half the product of the base and height of the triangle. Here, the base is x, and the height is y, so the area is ...
A(x) = (1/2)(x)(y)
A(x) = (1/2)(x)(9-x^2)
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b. The problem statement defines two of the triangle vertices only for x > 0. However, we note that for x > 3, the y-coordinate of one of the vertices is negative. Straightforward application of the area formula in Part A will result in negative areas for x > 3, so a reasonable domain might be (0, 3).
On the other hand, the geometrical concept of a line segment and of a triangle does not admit negative line lengths. Hence the area for a triangle with its vertex below the x-axis (green in the figure) will also be considered to be positive. In that event, the domain of A(x) = (1/2)(x)|9 -x^2| will be (0, ∞).
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c. A(2) = (1/2)(2)(9 -2^2) = 5
The area is 5 when x=2.
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d. On the interval (0, 3), the value of x that maximizes area is x=√3. If we consider the domain to be all positive real numbers, then there is no maximum area (blue dashed curve on the graph).
