Answer:
(0,5), (2,4), (4,3), (6,2), (8,1), (10,0), (12,-1), (14,-2), (16,-3), (18,-4), and (20,-5)
Step-by-step explanation:
The given linear equation is :
Or
Any ordered pair that satisfies this equation is a solution.
When x=0,
(0,5) is a solution
When x=2,
(2,4) is a solution.
When x=4,
(4,3) is a solution;
When x=6:
(6,2).
When x=8,
Another solution is (8,1)
When x=10,
(5,0) is a solution
When x=12,
(12,-1) is a solution.
When x=14,
When x=16, we get:
When x=18, we get:
Answer:
Volume = (250π√3)/3 unit³
Step-by-step explanation:
The shape is a solid sphere
Where rho = ρ
ρ ≤ 5
Where Phi = φ
φ = π/6 (lower limit)
φ = 5π/6 (upper limit)
Note 1π rad = 180°
We would apply triple integrals and spherical coordinates to solve for the volume of a solid sphere.
See attachment for details
From calculations,
The volume of the portion of solid sphere = Volume = (250π√3)/3 unit³
If 5/8 of the teachers are males, there are 45 male teachers.
Subtract this value from 72 (i.e., find 3/8 of 72), and you will find that there are 27 female teachers.
2v = <-10, 4>
4u = <-24, 4>
-4u = <24, -4>
-4u + 2v = <24, -4> + <-10, 4> = <14, 0>
Answer:
A
Step-by-step explanation:
To determine which point is a solution, substitute the x- coordinate into the right side of the inequality and compare it's value to the y- coordinate of the point.
A (0, 2)
2x - 1 = 0 - 1 = - 1 → 2 ≥ - 1 ⇒ (0, 2) is a solution
B (4, 1)
2x - 1 = (2 × 4) - 1 = 8 - 1 = 7 → 1 < 7 ⇒ (4, 1) is not a solution
C (0, - 10)
2x - 1 = 0 - 1 = - 1 → - 10 < - 1 ⇒ (0, - 10) is not a solution
D (4, 2)
2x - 1 = (2 × 4) - 1 = 8 - 1 = 7 → 2 < 7 ⇒ (4, 2) is not a solution
