Answer:
50 (mph) = rate of passenger train
Step-by-step explanation:
Let the rate of the freight train = R
Let the rate of the passenger train be R + 30
The freight train has been traveling for 2 + 3 = 5 hours
And the passenger train has been traveling for 3 hours
And they have traveled the same distance when the passenger train overtakes the freight train
So using rate * time = distance we have that
R(5) = (R + 20) 3 simplify
5R = 3R + 60 subtract 3R from both sides
2R = 60 divide both sides by 2
R = 30 (mph) = rate of freight train
R + 20 = 50 (mph) = rate of passenger train
Answer:
1017.36
Step-by-step explanation: The formula for cone volume is 3.14(r^2)(h/3). Plug in all of your values to get the answer.
The last one is rational because it is a terminating decimal.
hi,
you must replace x by the number between parenthese.
I show you with the first one and let you do the second one
p(x) = 11x^5 -11x^4 - 5x^2 +15x-8
p(-4) = 11 (-4)^5 - 11 (-4)^4 -5(-4)² +15(-4) -8
p(-4) = 11 ( -1024- 256) - 5*16 -60-8
p(-4) = 11 ( -1280) -80-60-8
p(-4) = - 14080 - 148
p(-4) = - 14 228
