To find out how much money Samantha earned this week, we just need to multiply the rate of money she earns per hour by the amount of hours she worked.
9.50 * 40.5 = 384.75
Samantha earned $384.75 this week.
Hope that helped! =)
Answer: the number, converted to base 10 is 884
Step-by-step explanation:
The table gives symbols for a base 12 numerical system and it is called Caidoz numbers.
Looking at the table, the corresponding Caidozian number that we considering is 618 to base 12. Converting 618 to base 10, it becomes
8 × 12^0 = 8 × 1 = 8
1 × 12^1 = 1 × 12 = 12
6 × 12^2 = 6 × 144 = 864
Therefore, 618 to base 12 to 618 to base 10 would be
8 + 12 + 864 = 884
The enclosed shape is that of a trapezoid. The area of a trapezoid is the product of the height of it (measured perpendicular to the parallel bases) and the average length of the two parallel bases. The formula is generally written ...
... A = (1/2)(b₁ + b₂)·h
Here, the base lengths are the y-coordinates at x=4 and x=9. The height is the distance between those two x-coordinates: 9 - 4 = 5.
You are expected to find the y-values at those two points, then use the formula for the area of the trapezoid.
You can save a little work if you realize that the average of the two base lengths is the y-coordinate corresponding to the average x-coordinate: (9+4)/2 = 6.5. That is you only need to find the y-coordinate for x=6.5 and do the area math as though you had a rectangle of that height and width 5.
Going that route, we have
... y = 2(6.5) - 1 = 13 - 1 = 12
Then the trapezoid's area is
... A = 12·5 = 60 . . . . square units.
1. Shifts up 9
2. Shifts down 2
3. Reflect over x-axis and shifts left 5
4. Shifts right 4 and down 1
5. Vertical compression of 1/3 and shifts up 2
6. Reflect over x-axis, vertical stretch of 2, and shifts left 4
7. f(x)=-(x-3)^2+7
