Answer:
It will take 1 hour and 12 minutes for the two trains to be 192 miles apart
Step-by-step explanation:
The total distance between the two trains is the distance traveled by both trains. The distance traveled by the eastbound train is 85 mph * elapsed time and the distance traveled by the westbound train is 75 * elapsed time.
The combined formula is distance traveled = speed of first train * elapsed time + speed of second train * elapsed time.
Since the elapsed time is equal for both trains then the formula is modified as distance traveled = (speed of first train + speed of second train) * elapsed time.
Solving for the elapsed time
distance traveled = (speed of first train + speed of second train) * elapsed time
192 miles = (85mph + 75 mph) * elapsed time
192 miles = 160 mph * elapsed time
elapsed time = 192 miles / 160 mph
elapsed time = 1.2 hours
elapsed time = 1 hour and 12 minutes
It will take 1 hour and 12 minutes for the two trains to be 192 miles apart.
Answer:
y=1
Step-by-step explanation:
The amount of material needed by Miranda is 261.75 ft² and the volume of the tent is 228 ft³
<h3>
Volume </h3>
The volume of a figure is the amount of space occupied by a three dimensional shape.
The volume of the triangle = (1/2) * base * height = 0.5 * 8 * 6 = 24 ft²
Surface area of prism = 2(24) + 2(9.5 * 7.25) + (9.5 * 8) = 261.75 ft²
The volume of tent = area of triangle * height = 24 ft² * 9.5 ft = 228 ft³
The amount of material needed by Miranda is 261.75 ft² and the volume of the tent is 228 ft³
Find out more on Volume at: brainly.com/question/12410983
Answer:
Step-by-step explanation:
A function is continuous at a point if and only if:
So, we have the piecewise function:
And we want to find the value of k such that the function is continuous.
First, find the left hand limit of f(x):
Since we're coming from the left, we'll use the first equation. Thus:
Direct substitution:
Simplify:
Subtract and divide:
So, what this tells us is that for the function to be continuous, the right hand limit as f(x) approaches 9 from the right <em>must</em> also be equal to 0.
Therefore:
Direct substitution:
Subtract 1 from both sides:
Divide both sides by -9:
Therefore, the value of k is 1/9.
So, our equation in the end is:
Answer:
x=-55
Step-by-step explanation:
7+x/5=-4
x/5=-11
x=-55
Done!