Answer:
<em>It took 31 days for the patch to cover half the lake</em>
<em></em>
Step-by-step explanation:
The patch grows to double its size everyday
the patch completely covers the lake in 32 days
Since the patch doubles itself everyday, this means that the previous day before the 32nd day, the lake was just half covered.
Therefore, the the patch covered half the lake on the 31st day, i.e <em>it took 31 days for the patch to cover half the lake</em>
<em></em>
If you would like to know how many dolls did Bob and Carol break today, you can calculate this using the following steps:
On average, they break: 12% of 175 = 12/100 * 175 = 21 dolls.
Today: 2/3 as many dolls as usual = 2/3 * 21 = 14 dolls
Result: Bob and Carol broke 14 dolls today.
Answer:
-4n - 11
Step-by-step explanation:
Step 1: Convert words into an expression
11 less than the product of a number and -4
(n * -4) - 11
<em>-4n - 11</em>
<em />
Answer: -4n - 11
<u>If needed solve</u>
-4n - 11 + 11 = 0 + 11
-4n / -4 = 11 / -4
<em>n = -2.75</em>
Answer:
C. hyperbola; ![9x^2-25y^2-250y-850=0](https://tex.z-dn.net/?f=9x%5E2-25y%5E2-250y-850%3D0)
Step-by-step explanation:
The given conic has equation:
![9x^2-25y^2=225](https://tex.z-dn.net/?f=9x%5E2-25y%5E2%3D225)
Divide through by 225.
![\frac{9x^2}{225}-\frac{25y^2}{225}=\frac{225}{225}](https://tex.z-dn.net/?f=%5Cfrac%7B9x%5E2%7D%7B225%7D-%5Cfrac%7B25y%5E2%7D%7B225%7D%3D%5Cfrac%7B225%7D%7B225%7D)
![\frac{x^2}{25}-\frac{y^2}{9}=1](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2%7D%7B25%7D-%5Cfrac%7By%5E2%7D%7B9%7D%3D1)
This is a hyperbola centered at the origin.
The hyperbola has been translated from the origin to (0,5).
The translated hyperbola will have equation;
![\frac{(x-0)^2}{25}-\frac{(y-5)^2}{9}=1](https://tex.z-dn.net/?f=%5Cfrac%7B%28x-0%29%5E2%7D%7B25%7D-%5Cfrac%7B%28y-5%29%5E2%7D%7B9%7D%3D1)
Multiply through by 225.
![9(x-0)^2-25(y-5)^2=225](https://tex.z-dn.net/?f=9%28x-0%29%5E2-25%28y-5%29%5E2%3D225)
Expand
![9x^2-25(y^2-10y+25)=225](https://tex.z-dn.net/?f=9x%5E2-25%28y%5E2-10y%2B25%29%3D225)
![9x^2-25y^2+250y-625=225](https://tex.z-dn.net/?f=9x%5E2-25y%5E2%2B250y-625%3D225)
Rewrite in general form;
![9x^2-25y^2+250y-625-225=0](https://tex.z-dn.net/?f=9x%5E2-25y%5E2%2B250y-625-225%3D0)
![9x^2-25y^2+250y-850=0](https://tex.z-dn.net/?f=9x%5E2-25y%5E2%2B250y-850%3D0)
Answer:
postive 12
Step-by-step explanation:
16-4=12