Answer:

Step-by-step explanation:
The function

gives the mass of the car as a function of the number of passengers in it.
And the function

gives the potential energy of the car as a function of the car's mass.
Now if the height of the ramp is 30 meters, we have


And to find the potential energy as a function of the number of passengers, we just substitute
into
to get:


which gives the potential energy as a function of the number of passengers.
Step-by-step explanation:
If one student is chosen from a pool of 2444 maie students, of which 102 are aspiring research scientists, the probability that the chosen student student is a future research scientist is
102/2444 = 4.17% (to the nearest hundredth percent)

b = base length (of triangle)
h = height of triangle
s = side length of triangle
l = length of rectangle
Answer: (4-4i)+(3-2i) = 7-6i
Step-by-step explanation:
To add or subtract two complex numbers, just add or subtract the corresponding real and imaginary parts. For instance, the sum of 4 -4i and 3 - 2i is 7 -6i. The numbers in standard form will be a + bi, where a is the real part and bi is the imaginary part.