Answer:
w=2
Step-by-step explanation:
-14w + 21 = 1 - 4w
-10w + 21 = 1
-10w = -20
w = -20/-10
w=2
Because if you rotate an object 360 degrees it’s like the object never moved because the object would still be in the same spot as if you didn’t move it
Answer:
Step-by-step explanation:
Eek! Let's give this a go. Things we know:
acceleration of Bond in free fall is -9.8 m/s/s
velocity of the truck is 25 m/s
displacement Bond will travel when he jumps is -10 m
What we are looking for is the time it will take him to hit the top of the truck, knowing that the truck can travel from one pole to the next in 1 second.
Our displacement equation is
Δx = v₀t + 1/2at²
Filling in we have

Simplifying we get

This is a quadratic that needs to be solved however you personally solve quadratics. When you do that, you find that the times it will take Bond to drop that displacement is either -.37 seconds or 5.47 seconds. Many things in physics can be negative, like velocity and acceleration, but time NEVER will be. So it takes Bond 5.5 seconds to drop to the roof of the moving truck. That means that he needs to jump when the truck is between the 5th and the 6th poles away from him.
Good luck with this!
Cheers!
Let b be the number of blue beads and g the number of green beads that Giovanni can use for a belt.
He's supposed to use a total of between 70 and 74 beads, so
70 ≤ b + g ≤ 74
The ratio of green beads to blue beads is g/b, and this ratio has to be between 1.4 and 1.6, so
1.4 ≤ g/b ≤ 1.6
For completeness, Giovanni must use at least one of either bead color, so it sort of goes without saying that this system must also include the conditions
b ≥ 0
g ≥ 0
(These conditions "go without saying" because they are implied by the others. g/b is a positive number, so either both b and g are positive, or they're both negative. But they must both be positive, because otherwise b + g would be negative. I would argue for including them, though.)
Answer:
5x^3-x-3
Step-by-step explanation:
5x^3-2-x-1
5x^3-x-3