Answer:
1/2 hour
Step-by-step explanation:
The distance of the head start decreases at a rate of (95-65) = 30 km/h. Thus, Chase will reach Victor after...
time = distance/speed = (15 km)/(30 km/h) = 1/2 hour
Chase will take 1/2 hour to catch up with Victor.
Since the radius is provided, we can formulate the equation and compute the volume V.
![0.3= \sqrt[3]{ \frac{3V}{4 \pi } }](https://tex.z-dn.net/?f=0.3%3D%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7B3V%7D%7B4%20%5Cpi%20%7D%20%7D%20)
Next, we will cube both sides to eliminate the cube root resulting in:

Then, to remove the fraction, we multiply both sides by 4 pi:

Finally, we can divide both sides by 3 to derive V

Thus, the volume amounts to 0.11 cubic mm.
In the context of science, the rate is defined as a <span>metric that is evaluated in relation to another measured metric. To determine the rate for each set of data, we calculate the slope. The calculations proceed as follows:
Megan's growth rate = (12 - 4.5) / (4 - 1) = 2.5 inches weekly
Suzanne's growth rate = (11 - 5) / (4 - 1) = 0.5 inches weekly
Thus, it's clear that Megan’s plant grew more rapidly at a rate of </span><span>2.5 inches each week.</span>
Answer:
The formula to determine the distance Jane's trainer bikes is
.
Detailed explanation:
A diagram has been included for clarity.
Known values:
Distance biked to the south = 16 miles
Distance ran west = 12 miles
We need to determine the distance covered by Jane's trainer.
Solution:
Let the biking distance be represented by 'x'.
We will assume it forms a right-angled triangle.
According to the Pythagorean theorem, it states that;
"The square of the hypotenuse is equal to the sum of the squares of the other two sides."
When set in equation form, this gives us;

Thus, the equation representing the distance biked by Jane's trainer is
.
Upon solving, we find;

Consequently, Jane's trainer covers a distance of 20 miles.
The toddler weighs 12.5 kg.
In-depth explanation:
The formula for gravitational potential energy is Ep=mgh where;
Ep=gravitational potential energy
m=mass of an object
g=gravitational field strength
h=height in meters
Given that; h= 1.5m, Ep=187.5J, g=10 N/kg then finding m;
Ep=mgh
187.5=m*10*1.5
187.5=15m
187.5/15 =15m/15
m=12.5 kg
Learn More
- Gravitation potential energy:
Keywords: Mass, gravitational potential energy