we know that
The time it takes for the train to pass a single post is equal to the time it takes for the train to pass its length.
the length of the train is-----> 375 m
<u>convert to Km</u>
1 Km =1,000 m
375 m=375/1,000=0.375 Km
the speed of the train is 45 km/hour
so
by proportion

<u>convert to minutes</u>
1 hour=60 minutes
0.0083 hours=0.0083*60=0.5 minutes
<u>convert to seconds</u>
1 minute=60 sec
0.5 minutes=0.5*60=30 sec
therefore
<u>the answer is</u>
30 seconds
I think you meant to say

and not "4 times y" on the right side (which would lead to a complex value for y when x = 0). Note that when x = 0, the equation reduces to ln(y) = 0, so that y = 1.
Implicitly differentiating both sides with respect to x, taking y = y(x), and solving for dy/dx gives


Note that when x = 0 and y = 1, we have dy/dx = 3.
Differentiate both sides again with respect to x :

No need to simplify; just plug in x = 0, y = 1, and dy/dx = 3 to get

Answer:
5X - 10
Step-by-step explanation:
Sarah had X
Then, Rachael had 4X
And, Addie had X - 10
Total dollar = X + 4X + X - 10
= 5X - 10
Answer:
1. 50 miles per hour
2.$3.25 (22.75 / 7 = 3.25)
3. Tony's Sewing Store
4. 100 hours (47 / 23.5 = 2, 50 x 2 = 100)
The slope-intercept form: y = mx + b
m - a slope
b - y-intercept (0; b)
-y + 8x = 2x |subtract 8x from both sides
-y = -6x |change signs
y = 6x
Answer: The slope m = 6, y-intercept b = 0 -> (0; 0).