Answer:
30 m/s
Step-by-step explanation:
Let's say the distance from the first car to the intersection is x, and the distance from the second car to the intersection is y.
The distance between the cars can be found with Pythagorean theorem:
d² = x² + y²
Taking derivative with respect to time:
2d dd/dt = 2x dx/dt + 2y dy/dt
d dd/dt = x dx/dt + y dy/dt
We know that x = 200, dx/dt = -25, y = 150, and dy/dt = -50/3.
To find dd/dt, we still need to find d.
d² = x² + y²
d² = (200)² + (150)²
d = 250
Plugging everything in:
250 dd/dt = (200) (-25) + (150) (-50/3)
dd/dt = -30
The cars are approaching each other at a rate of 30 m/s at that instant.
Total number of 10 grader students = 260 students.
Total number of students who rides the bus and they are of 10th grader = 150 students.
Probability (a student rides the bus given that they are a 10th grader) =
Therefore,
P(E) = 
Dividing top and bottom by 10, we get
P(E) = 15/26.
In decimals 0.577.
Therrefore, correct option is C) 150/260 = 15/26 = .577.
Not sure if the question is complete, but if the cell doubles every five minutes, you must first double the one, then simply square the answer every five minutes.
Answer:
if union, U means plus,+
if intersect means minus, -