Add the three different amounts she gets to find the total:
450 + 300 + 500 = 1250 mg total.
1250 is greater than 1200, so yes, she is getting enough.
Answer:
Yes, because the sum of his assets is $125,480 and the sum of his liabilities is $20,960.
Step-by-step explanation:
Answer:
0.27 goldfish per cubic foot
Step-by-step explanation:
Find the density of the tank by dividing the number of goldfish by the volume of the tank:
12/45
= 0.27
So, the density of the tank is 0.27 goldfish per cubic foot
As we already have the model that describes the change of the population in Italy in terms of the years that have elapsed, we only have to replace the conditions that are requested in that equation.
Therefore to find the population of Italy in the year 2000 (t = 10 years) substitute t = 10 in the equation and have:
![p = 56.8e^{0.0015*10}\\](https://tex.z-dn.net/?f=p%20%3D%2056.8e%5E%7B0.0015%2A10%7D%5C%5C)
million people
To find the population of Italy in 2008 (t = 18 years)
substitute t = 18 in the equation and have:
![p=56.8e ^{0.0015*18}\\](https://tex.z-dn.net/?f=p%3D56.8e%20%5E%7B0.0015%2A18%7D%5C%5C)
million people
To predict the population in Italy for 2015 and 2020 with this model, we substitute in the equation t = 25 and t = 30
t = 25
million people
t = 30
million people
Answer: The height of the container is 10 centimeters. If its diameter and height were both doubled, the container's capacity would be 8 times its original capacity.
Step-by-step explanation:
The volume of a cone can be calculated with this formula:
![V=\frac{\pi r^2h}{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B%5Cpi%20r%5E2h%7D%7B3%7D)
Where "r" is the radius and "h" is the height.
We know that the radius is half the diameter. Then:
![r=\frac{12cm}{2}=6cm](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B12cm%7D%7B2%7D%3D6cm)
We know the volume and the radius of the conical container, then we can find "h":
![120\pi cm^3=\frac{\pi (6cm)^2h}{3}\\\\(3)(120\pi cm^3)=\pi (6cm)^2h\\\\h=\frac{3(120\pi cm^3)}{\pi (6cm)^2}\\\\h=10cm](https://tex.z-dn.net/?f=120%5Cpi%20cm%5E3%3D%5Cfrac%7B%5Cpi%20%286cm%29%5E2h%7D%7B3%7D%5C%5C%5C%5C%283%29%28120%5Cpi%20cm%5E3%29%3D%5Cpi%20%286cm%29%5E2h%5C%5C%5C%5Ch%3D%5Cfrac%7B3%28120%5Cpi%20cm%5E3%29%7D%7B%5Cpi%20%286cm%29%5E2%7D%5C%5C%5C%5Ch%3D10cm)
The diameter and height doubled are:
![d=12cm*2=24cm\\h=10cm*2=20cm](https://tex.z-dn.net/?f=d%3D12cm%2A2%3D24cm%5C%5Ch%3D10cm%2A2%3D20cm)
Now the radius is:
And the container capacity is
![V=\frac{\pi (12cm)^2(20cm)}{3}=960\pi cm^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B%5Cpi%20%2812cm%29%5E2%2820cm%29%7D%7B3%7D%3D960%5Cpi%20cm%5E3)
Then, to compare the capacities, we can divide this new capacity by the original:
Therefore, the container's capacity would be 8 times its original capacity.