Answer
The steel ball will be caught up in between the mercury and water medium.
Step-by-step explanation:
- Mercury with a density of 13546 kg/m^3
- water with a density of 1000 kg/m^3
- Steel with a density of 8050 kg/m^3
From the factual density of both substances given above ,it shows that mercury is more heavier than water. In that case mercury will be at the lower layer when mixed with water.
The steel ball will be caught in between both mixtures as the density of steel is 8050 kg/m^3.Which is more than Water but less than Mercury.
The fully factored polynomial is −3(x−6)(x+6).
The point of intersection is the point where lines intersect.
<em>There will be 595 intersections for 35 lines, where no 3 lines are concurrent.</em>
<em />
Given
<em />
<em> --- the number of lines</em>
<em />
<em> --- no three lines are concurrent</em>
<em />
When no three line are concurrent, it means that no three lines meet at the same point.
<u>So, the sequence of intersection is:</u>
- <em>0 intersection for 1 line</em>
- <em>1 intersection for 2 lines</em>
- <em>3 intersections for 3 lines</em>
- <em>6 intersections for 4 lines</em>
<em />
Following the above sequence, the number of intersections for n lines is:
![n_k = \frac{n \times (n - 1)}{2}](https://tex.z-dn.net/?f=n_k%20%3D%20%5Cfrac%7Bn%20%5Ctimes%20%28n%20-%201%29%7D%7B2%7D)
In this case, ![n = 35.](https://tex.z-dn.net/?f=n%20%3D%2035.)
So, we have:
![n_k = \frac{35 \times (35 - 1)}{2}](https://tex.z-dn.net/?f=n_k%20%3D%20%5Cfrac%7B35%20%5Ctimes%20%2835%20-%201%29%7D%7B2%7D)
![n_k = \frac{35 \times 34}{2}](https://tex.z-dn.net/?f=n_k%20%3D%20%5Cfrac%7B35%20%5Ctimes%2034%7D%7B2%7D)
![n_k = 35 \times 17](https://tex.z-dn.net/?f=n_k%20%3D%2035%20%5Ctimes%2017)
![n_k = 595](https://tex.z-dn.net/?f=n_k%20%3D%20595)
<em>Hence, there will be 595 intersections for 35 lines, where no 3 lines are concurrent.</em>
<em />
Read more about lines of intersections at:
brainly.com/question/22368617
For this case we have the following conversion:
1 pound = 16 ounces
Then we rewrite the sack weights:
14 pounds 9 ounces = 14 9/16
9 pounds 14 ounces = 9 14/16 = 9 7/8
Then, we subtract both values:
(14 9/16) - (9 7/8) = 4.6875 = 4 + 0.6875
Rewriting:
4 + 0.6875 = 4 + 6875/1000
4 + 1375/200 = 4 + 275/40
4 + 275/40 = 4 + 55/8
Answer:
the weight of the potatoes wendy use for the potato salad is:
4 + 55/8 pounds
I don’t think f would have any value in this equation and f would represent 1 zero??