Answer:
The instantaneous velocity at
is
.
Step-by-step explanation:
We have the position as the function

As we know that the velocity is the rate of change of position over time, so it is basically the derivative of the function.
so finding the derivate of 
∴ 
The instantaneous velocity at 

Therefore, the instantaneous velocity at
is
.
Please note that the negative value indicates the direction of movement, in this case, it would be backward.
Given :
An equation, 2cos ß sin ß = cos ß .
To Find :
The value for above equation in (0, 2π ] .
Solution :
Now, 2cos ß sin ß = cos ß
2 sin ß = 1
sin ß = 1/2
We know, sin ß = sin (π/6) or sin ß = sin (5π/6) in ( 0, 2π ] .
Therefore,

Hence, this is the required solution.
Answer:
3
Step-by-step explanation:
find the lowest common multiple of 2, 3, and 5.
That is 30.
So every 30th burger will have all 3 condiments.
100/30 = 3 and 10 left over.
We only care about the 3
Answer:
(2,-2)
Step-by-step explanation:
The first step is to substitute y in the first equation with the right side of the second equation because they both equal to y.
-3x+4 = 4x-10
-3x-4x+4-4 = 4x-4x-10-4
-7x = -14
-7x/-7 = -14/-7
x = 2
Plugin 2 for x for either equation to solve for y, I'll be using the second equation, but either one is fine.
y = 4(2)-10
y = 8-10
y = -2
Plugin x = 2 and y = -2 into (x,y), and you get (2,-2)