Answer:
± seventeen (17) or ± 5.67%.
Step-by-step explanation:
The common ratio of the sequence is calculated by dividing the second term by the first term or dividing the third term by the second term. That is,
r = 250 / 333 = 0.75
or r = 187 / 250 = 0.748 = 0.75
To get the next term, we multiply 187 by 0.75 giving us an answer of 140.25 or 141.
Answer:
48 holes
Step-by-step explanation:
We know that in 3 minutes, a squirrel managed to bury 12 holes. Now, what if there were 12 minutes?
To solve this, we need to see the increase in minutes and implement the same thing to the holes.
So how do we get 3 minutes to 12 minutes? By multiplying 3 by 4, now do the same for the amount of holes the squirrel burrowed in 3 minutes.
3min * 4 = 12min
12 holes * 4 = 48 holes
Answer:
![x=\frac{3}{4}+i\frac{\sqrt{7}}{4},\:x=\frac{3}{4}-i\frac{\sqrt{7}}{4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B3%7D%7B4%7D%2Bi%5Cfrac%7B%5Csqrt%7B7%7D%7D%7B4%7D%2C%5C%3Ax%3D%5Cfrac%7B3%7D%7B4%7D-i%5Cfrac%7B%5Csqrt%7B7%7D%7D%7B4%7D)
Step-by-step explanation:
simplify
by putting the negative sign on the outside. ![\frac{2x}{x-1}-\frac{2x-5}{x^2-3x+2}=-\frac{3}{x-2}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7Bx-1%7D-%5Cfrac%7B2x-5%7D%7Bx%5E2-3x%2B2%7D%3D-%5Cfrac%7B3%7D%7Bx-2%7D)
find the LCM of the denominators. It is (x-1)(x-2). Multiply by the LCM:
![\frac{2x}{x-1}\left(x-1\right)\left(x-2\right)-\frac{2x-5}{x^2-3x+2}\left(x-1\right)\left(x-2\right)=-\frac{3}{x-2}\left(x-1\right)\left(x-2\right)](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7Bx-1%7D%5Cleft%28x-1%5Cright%29%5Cleft%28x-2%5Cright%29-%5Cfrac%7B2x-5%7D%7Bx%5E2-3x%2B2%7D%5Cleft%28x-1%5Cright%29%5Cleft%28x-2%5Cright%29%3D-%5Cfrac%7B3%7D%7Bx-2%7D%5Cleft%28x-1%5Cright%29%5Cleft%28x-2%5Cright%29)
Simplify:
![2x\left(x-2\right)-\left(2x-5\right)=-3\left(x-1\right)](https://tex.z-dn.net/?f=2x%5Cleft%28x-2%5Cright%29-%5Cleft%282x-5%5Cright%29%3D-3%5Cleft%28x-1%5Cright%29)
solve: ![x=\frac{3}{4}+i\frac{\sqrt{7}}{4},\:x=\frac{3}{4}-i\frac{\sqrt{7}}{4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B3%7D%7B4%7D%2Bi%5Cfrac%7B%5Csqrt%7B7%7D%7D%7B4%7D%2C%5C%3Ax%3D%5Cfrac%7B3%7D%7B4%7D-i%5Cfrac%7B%5Csqrt%7B7%7D%7D%7B4%7D)