It’s A cuz it has to be square rooted
The density of a substance is the ratio of its mass and its volume. The mass of the rod is 10,666.67 grams or 10.67 kgs.
<h3>What is the density of a substance?</h3>
The density of a substance is the ratio of its mass and its volume. Therefore we can write,
mass of substance = m kg
density of substance = d kg/m³
volume of that substance = v m³
The length of the rod is 4 meters, therefore, the length of the rod in centimeters will be 400 centimeters. Thus, The mass in terms of density can be written as,
![= [2\cdot \dfrac{2x^{\frac32}}{3}]_0^{400}\\\\= [\dfrac{4x^{\frac32}}{3}]_0^{400}\\\\=[\dfrac{4(400)^{\frac32}}{3}]-[\dfrac{4(0)^{\frac32}}{3}]\\\\= 10,666.\bar6\rm\ grams](https://tex.z-dn.net/?f=%3D%20%5B2%5Ccdot%20%5Cdfrac%7B2x%5E%7B%5Cfrac32%7D%7D%7B3%7D%5D_0%5E%7B400%7D%5C%5C%5C%5C%3D%20%5B%5Cdfrac%7B4x%5E%7B%5Cfrac32%7D%7D%7B3%7D%5D_0%5E%7B400%7D%5C%5C%5C%5C%3D%5B%5Cdfrac%7B4%28400%29%5E%7B%5Cfrac32%7D%7D%7B3%7D%5D-%5B%5Cdfrac%7B4%280%29%5E%7B%5Cfrac32%7D%7D%7B3%7D%5D%5C%5C%5C%5C%3D%2010%2C666.%5Cbar6%5Crm%5C%20grams)
Hence, the mass of the rod is 10,666.67 grams or 10.67 kgs.
Learn more about Density:
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Answer:
20 is 80% of 25
Step-by-step explanation:
We assume, that the number 25 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 25, so we can write it down as 100%=25.
4. We know, that x% equals 20 of the output value, so we can write it down as x%=20.
5. Now we have two simple equations:
1) 100%=25
2) x%=20
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=25/20
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 20 is what percent of 25
100%/x%=25/20
(100/x)*x=(25/20)*x - we multiply both sides of the equation by x
100=1.25*x - we divide both sides of the equation by (1.25) to get x
100/1.25=x
80=x
x=80
Multiplying positive numbers always comes out positive, no matter how many there are. So you can forget about the positive ones.
Every two negative numbers in a multiplication produce a positive.
Another way to say that is: If the number of negative ones is EVEN,
the answer is positive, and if it's ODD, the answer is negative.
That monster product of eight numbers in problem #12 will be negative,
because there are an odd amount of negative factors in it.
x = 20 - -5 = 20 + 5 = 25
y = 16 - 1 = 15
<h2>
x = 25</h2><h2>
y = 15</h2>
