Answer:
The amount of water left in the tank is approximately 58.1 cubic meters
Step-by-step explanation:
step 1
Find the volume of the a cube shape tank
The volume is equal to
![V=b^{3}](https://tex.z-dn.net/?f=V%3Db%5E%7B3%7D)
we have
![b=4.6\ m](https://tex.z-dn.net/?f=b%3D4.6%5C%20m)
substitute
![V=4.6^{3}=97.336\ m^{3}](https://tex.z-dn.net/?f=V%3D4.6%5E%7B3%7D%3D97.336%5C%20m%5E%7B3%7D)
step 2
Find the volume of cone
The volume is equal to
![V=\frac{1}{3}\pi r^{2}h](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E%7B2%7Dh)
we have
![r=2.5\ m](https://tex.z-dn.net/?f=r%3D2.5%5C%20m)
![h=6\ m](https://tex.z-dn.net/?f=h%3D6%5C%20m)
![\pi =3.14](https://tex.z-dn.net/?f=%5Cpi%20%3D3.14)
substitute
![V=\frac{1}{3}(3.14)(2.5)^{2}(6)](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%283.14%29%282.5%29%5E%7B2%7D%286%29)
![V=39.25\ m^{3}](https://tex.z-dn.net/?f=V%3D39.25%5C%20m%5E%7B3%7D)
step 3
Find the difference of the volumes
![97.336\ m^{3}-39.25\ m^{3}=58.1\ m^{3}](https://tex.z-dn.net/?f=97.336%5C%20m%5E%7B3%7D-39.25%5C%20m%5E%7B3%7D%3D58.1%5C%20m%5E%7B3%7D)
Answer:
9-25i is equivalent to (−3+5i)(−3−5i)
Answer:
that is 6 and 5/ 12 cups of flour are required
Step-by-step explanation:
total number of cups required to make a loaf of bread
= 3 + ¾
making their denominators equal and that to 4
= 12/ 4 + 3/ 4
adding numerators
= (12 + 3)/ 4
= 15/ 4
total cups of flour required to make pretzels
= 2 + ⅔
making their denominators equal and that to 3
= 6/ 3 + 2/ 3
adding nunerators
= (6 + 2)/ 3
= 8/ 3
Total cups required:-
= 15/ 4 + 8/ 3
taking lcm of denominators to make the fractions equivalent
= {(15 × 3) + (8 × 4)}/ 12
= {45 + 32}/ 12
= 77/ 12
![6 \frac{5}{ 12}](https://tex.z-dn.net/?f=6%20%5Cfrac%7B5%7D%7B%2012%7D%20)
<em>that is 6 and 5/ 12 cups of flour are required</em>.
Answer:
Part A: YES, it is.
Part B: the amount of pumpkin picked and the amount of fertilizer applied.
Step-by-step explanation:
Part A:
The closer the correlation coefficient is to 1, the stronger the relationship between two variables, and vice versa. Also, the closer the data points are on a scatter plot, the closer the correlation coefficient is to 1.
The scatter plot shown indicates a positive correlation between number of days and number of pumpkins. However, the data points are to some extent farther apart from each other. This shows a moderate relationship between the two variables. Therefore, a correlation coefficient, r, of 0.51 that was calculated can be concluded to be accurate , because an r of 0.51 depicts a moderate relationship between two variables.
Part B:
A variable that could affect the number of pumpkins picked could be amount of fertilizer applied, instead of the day in October. Thus, we can compare the amount of pumpkin picked and the amount of fertilizer applied.
Answer:
If we think of the numbers 1 through nine, only 1 of those numbers is a multiple of 2 AND 3 and that number is 6.
So, basically, the question is asking what is the probability that "6" will appear. That is a one out of 9 probability or 1/9 or 11.11%
Step-by-step explanation: