Answer:
Step-by-step explanation:
The left side
14
does not equal to the right side
−
14
, which means that the given statement is false.
False
Total balls = 9 + 13 = 22
P(both green or both purple) = (9/22)(9/22) + (13/22)(13/22) = 125/242
Answer: 125/242
Answer:
![\vec{a}=(10,18).](https://tex.z-dn.net/?f=%5Cvec%7Ba%7D%3D%2810%2C18%29.)
![2\sqrt{106}\approx20.6\ km.](https://tex.z-dn.net/?f=2%5Csqrt%7B106%7D%5Capprox20.6%5C%20km.)
Step-by-step explanation:
Let the initial Caroline's location be at the origin (0,0) and the directions be:
- north - positive y-direction;
- south - negative y-direction;
- east - positive x-direction;
- west - negative x-direction.
1. Caroline walks 13 km due east, then her location is (13,0).
2. Caroline walks 18 km to the north, then her location is (13,18).
3. Caroline walks 3 km west, then her location is (10,18).
Thus, the component form of the vector containing her final destination is
![\vec{a}=(10,18).](https://tex.z-dn.net/?f=%5Cvec%7Ba%7D%3D%2810%2C18%29.)
If Caroline’s friend travels the shortest root to the cache, she will walk
![\sqrt{10^2+18^2}=\sqrt{10+324}=\sqrt{424}=2\sqrt{106}\approx20.6\ km.](https://tex.z-dn.net/?f=%5Csqrt%7B10%5E2%2B18%5E2%7D%3D%5Csqrt%7B10%2B324%7D%3D%5Csqrt%7B424%7D%3D2%5Csqrt%7B106%7D%5Capprox20.6%5C%20km.)
For this case we have the following expression:
lne ^ 3x ^ 2
Rewriting we have:
ln (e ^ (3x ^ 2))
By properties of the natural and exponential logarithm function, we can
rewrite the expression as:
ln (e ^ (3x ^ 2)) = 3x ^ 2
Answer:
The equivalent expression is given by:
3x ^ 2