To use repeated subtraction, you could keep subtracting 3 until you reach 0.
So, we can do
93-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3-3=0
This has 31 -3s,
So 91/3 is 31.
7,14,21,28,35,42,49,56,63,70,77,84,91,98,105,112,119,126
18,36,54,72,90,108,126
So the first person to get both of them is the 126th person
Define i as a unit vector in the eastern direction.
Define j as a unit vector in the northern direction.
Part I
Because the wind is blowing west, its velocity vector is
-23i mph or as (-23, 0) mph
Because the plane is traveling north, its velocity vector is
200j mph or as (0, 200) mph
Part II
The actual velocity of the plane is the vector sum of the plane and wind velocities.
That is,
200j - 23i or (-23, 200) mph
Part III
The ground speed of the plane is the magnitude of its vector.
The ground speed is
√[200² + (-23)²] = 201.32 mph
The ground speed of the plane is 201.3 mph (nearest tenth)
Not:
The direction of the plane is
tan⁻¹ 23/200 = 6.56° west of north.
Answer:
D
Step-by-step explanation:
To obtain f(g(x)) substitute x = g(x) into f(x), that is
f(10 - 5x)
= (10 - 5x)² + 5 ← expand (10 - 5x)²
= 100 - 50x - 50x + 25x² + 5 ← collect like terms
= 25x² - 100x + 105 → D
