Answer:
f(x)=8,000(0.08)
Step-by-step explanation:
I am not 100% sertin but 8% = 0.08 so to find the percentage you would just multiple that by the given 8,000.
Answer:
2x² + 3x - 1 - 5/(5x +2)
Step-by-step explanation:
2x² + 3x - 1
__________________
5x + 2 | 10x³ + 19x² + x - 7
| -<u>10x³ - 4x² </u>
| 15x² + x
| <u>- 15x² - 6x </u>
| - 5x - 7
| <u> 5x +2</u>
| - 5
2x² + 3x - 1 - 5/(5x +2)
3/4 ÷ 2/1. Multiply by the reciprocal, 3/4 · 1/2 = 3/8.
Answer:
54
Step-by-step explanation:
Surface area of triangular prism = bh + L(s1 + s2 + s3)
Where,
b = 3
h = 4
L = 3.5
s1 = 3
s2 = 4
s3 = 5
Plug in the values into the equation
Area of the triangular prism = 3*4 + 3.5(3 + 4 + 5)
= 12 + 42
= 54 units²
The given lines are
x = 1 + t
y = 2t
z = -3t
The plane is x + y - z = 3
If the lines intersect the plane at a point p, then the lines should satisfy the equation of the plane.
That is,
(1 + t) + (2t) - (-3t) = 3
1 + t + 2t + 3t = 3
1 + 6t = 3
6t = 2
t = 1/3
Therefore the coordinates of the point p are
x = 1 + 1/3 = 4/3
y = 2(1/3) = 2/3
z = -3(1/3) = -1
That is p (4/3, 2/3, -1)
Answer: The point p has coordinates (4/3, 2/3, -1)
