Answer:
2x + 8y = 16
Step-by-step explanation:
Subtract 2x from both sides of the equation.
8y = 16 − 2x
Divide each term by 8 and simplify.
Answer:
δL/δt = 634,38 ft/s
Step-by-step explanation:
A right triangle is shaped by ( y = distance between aircraft and ground which is constant and equal to 405 f ) a person who is at ground level 3040 f away from the tower distance x = 3040 f and the line between the aircraft and the person. Then we can use Pythagoras theorem and write
L ( distance between aircraft and person )
L² = x² + y² or L² = x² + (405)²
Taken partial derivatives with respect to t we get:
2*L*δL/δt = 2*x*δx/t + 0
Then L*δL/δt = x*δx/dt
At the moment of the aircraft passing over the tower
x = 3040 ft δx/δt = 640 ft/s and L = √ ( 3040)² + (405)²
So L = √9241600 + 164025 L = √9405625 L ≈3066,9 ft
Then:
δL/δt = 3040*640/ 3066,9 units [ ft * ft/s / ft ] ft/s
δL/δt = 634,38 ft/s
Answer:
The position at time t is 
Step-by-step explanation:
From the question we are told that
The acceleration is 
The velocity at t = 0 is 
The position at time t = 0 is 
Generally acceleration is mathematically represented as

=> 
=> 
integrating both sides we have

=> 
Now at t = 0

=> 
So

Generally the position of the body is mathematically represented as

So

So

Now at t = 0

=> 
So

11 + 12 = 33
12/33 x 100 = 36.4%
Answer:
$55.73
Step-by-step explanation:
First you would multiply $59.92 and 0.07 together and get 4.1944. Round this and get 4.19. Then you would subtract this from the total price to get 55.73.