Answer: The length of the path = 157 inches { approx}
Step-by-step explanation:
Given: The length of the path = 4 meters
1 meter = 100 centimeters
So 4 meters = 400 centimeters
Also 1 in. ≈ 2.54 cm
Now, 
![=157.480314961\approx 157 \ \ \ \ \ \text{ [Rounded to the nearest inch.]}](https://tex.z-dn.net/?f=%3D157.480314961%5Capprox%20157%20%20%5C%20%5C%20%5C%20%5C%20%5C%20%5Ctext%7B%20%5BRounded%20to%20the%20nearest%20inch.%5D%7D)
Hence, the length of the path = 157 inches { approx}
In this problem, you are asked to compute for the volume of
the spherical paintball. The formula in computing the volume of the sphere is:
V = 4/3 (pi) r^2
Where r = the radius of the sphere
Since the given measurement is in diameter, you need to
compute the radius of the sphere. The radius of the sphere is half its
diameter. Therefore, the radius of the sphere is 0.75 cm (1.5 cm / 2).
Substituting the radius to the formula and using 3.14 as the
value of pi:
V = 4/3(3.14)(0.75)^2
V = 2.355 cm^3 or 2.36 cubic centimeters (note that cubic
centimeter is equal to mL)
Therefore, there are approximately 2.36 mL of paint in the paintball.
Answer:
7 hours
Step-by-step explanation:
It is given that the plane was flying at 847 km/hour. So the speed of the plane was 847 kilometers per hour.
It is also given that the distance between Rome and New Delhi is 5,929 kilometers.
We know that the distance is equal to the product of speed and time, so we have,
, where 'd' represents the distance, 's' represents the speed, and 't' represents the time.
Putting the values we get,
Solving for 't' we get,
So the time taken to fly from Rome to New Delhi is 7 hours.
It seems that the four graphs are the same and they do not have a negative change rate in the interval 0 to 2 in the x-axis.
A negative change rate means that when x increases the value of the function (y) decreases; this is, the function is decreasing in the interval being estudied, which is the same that going downward.
So, you must look for in your graphs where the equation is going downward.
For example, in the graph attached, that happens in any interval from negative infitity to 1.5.
The vertex will help you to identify it.
Given that the graph goes downward from negative infinity to the vertex, any interval that includes that range will have negative change.
You must look for a parabola that opens upward and whose vertex is in x = 2.
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