Answer:
(-∞,0)
Step-by-step explanation:
Graph y=|x|
Note that the graph is shaped like a V. The left half of the graph is decreasing from -∞ up until 0 when it hits the origin and starts to increase. Put this into interval notation: (-∞,0).
Answer:
new price= $2.40
Step-by-step explanation:
20%= 20/100= 1/5
$3.00/5= 00.60
1/5 of the price is being subtracted from $3.00
$00.60 is 1/5
3.00-.60= 2.40
The answer is phoenix is located at (-7,-10) it is written like this because you always have the x coordinate then the y coordinate
The two parabolas intersect for
and so the base of each solid is the set
The side length of each cross section that coincides with B is equal to the vertical distance between the two parabolas, . But since -2 ≤ x ≤ 2, this reduces to .
a. Square cross sections will contribute a volume of
where ∆x is the thickness of the section. Then the volume would be
where we take advantage of symmetry in the first line.
b. For a semicircle, the side length we found earlier corresponds to diameter. Each semicircular cross section will contribute a volume of
We end up with the same integral as before except for the leading constant:
Using the result of part (a), the volume is
c. An equilateral triangle with side length s has area √3/4 s², hence the volume of a given section is
and using the result of part (a) again, the volume is
Answer:
C
Step-by-step explanation:
The volume of the regular pyramid is
The base of given pyramid is regular hexagon with side 12 cm. The are of this hexagon consistsof area of 6 equilateral triangles and is equal to
Hence, the volume of the pyramid is