Answer:
you have to divide the kilometers by the first train km/h and you should get the rate of each train
Step-by-step explanation:
hope it helps
The answer is: The diameter is 4 centimeters.
The explanation is shown below:
1. The volume of the cylinder is:
Where 
is the radius (
) and 
is the height (
).
Then:
2. The total volume of the 12 spheres is:
3. The volume of the cylinder and the total volume of all the 12 spheres, are equal, therefore:
4. Now, you must solve for the radius:
![r=\sqrt[3]{\frac{128\pi}{16\pi}}\\r=2cm](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B128%5Cpi%7D%7B16%5Cpi%7D%7D%5C%5Cr%3D2cm)
5. The diameter is:
Y = -7x - 2
Use the two points given to find the slope (m)
m = (y2 - y1) / (x2 - x1)
m = ( 12-5 ) / (-2 - (-1))
m = -7
Now we have y = -7x + b where 'b' is our y-intercept. We can solve for 'b' by choosing one of the (x,y) coordinate points and plugging them in.
Let's choose the point (-1,5). Plug -1 in for 'x' and 5 in for 'y' and solve for 'b'.
y = -7x + b
5 = -7(-1) + b
b = -2
Final eqn: y = -7x - 2
Obviously, it's not rational, because it's the sum of two square roots, so cancel out A and B right away.
If we solve it
sqrt (18) + sqrt (2)
= sqrt (9*2) + sqrt (2)
= 3 sqrt (2) + sqrt (2)
= 4 sqrt (2)
D :D
Answer:
17.9 m/s
Step-by-step explanation:
Volume of the slick = 0.5 x π r² h--------------------------------- (1)
Where r = radius of slick
h = thickness of slick, 10⁻⁶m
If 0.5m³ of oil leaked, then the radius of the semicircular slick can be calculated from equation (1)
V = 0.5 x π r² h
0.5= 0.5 x π x r² x 10⁻⁶
r² = 10⁶/ π
r = 10³/√π
dV/dt = πrh dr/dt + 0.5π r² dh/dt----------------------------------- (2)
Asumming the film thickness is constant , equation (2) becomes
dV/dt = πrh dr/dt-------------------------------- (3)
dV/dt = 0.1m³/day
r= 10³/√π
dr/dt= rate of expansion of the slick
Substituting into (3);
0.1 = π x 10³/√π x 10⁻⁶ x dr/dt
dr/dt = 0.1 x 10⁶/ ( π x 10³/√π)
= 17.9479 m/s
≅ 17.9 m/s
