Spinner has three colors: red, green and yellow; coin has two sides: head or tail.
The sample space: {red - head; red - tail; green - head; green - tail; yellow - head; yellow - tail}. In total there are 6 ways to combine different colors with coin sides.
The probability that the result is green - tail is 1/6.
Answer:
The answer would be A.
Step-by-step explanation:
5 (-5)+ (2) = -23
-25 +2=-23
-23=-23!
It looks like you're asked to find the value of y(-1) given its implicit derivative,

and with initial condition y(2) = -1.
The differential equation is separable:

Integrate both sides:


Solve for y :



![y = -\dfrac1{\sqrt[3]{3x+C}}](https://tex.z-dn.net/?f=y%20%3D%20-%5Cdfrac1%7B%5Csqrt%5B3%5D%7B3x%2BC%7D%7D)
Use the initial condition to solve for C :
![y(2) = -1 \implies -1 = -\dfrac1{\sqrt[3]{3\times2+C}} \implies C = -5](https://tex.z-dn.net/?f=y%282%29%20%3D%20-1%20%5Cimplies%20-1%20%3D%20-%5Cdfrac1%7B%5Csqrt%5B3%5D%7B3%5Ctimes2%2BC%7D%7D%20%5Cimplies%20C%20%3D%20-5)
Then the particular solution to the differential equation is
![y(x) = -\dfrac1{\sqrt[3]{3x-5}}](https://tex.z-dn.net/?f=y%28x%29%20%3D%20-%5Cdfrac1%7B%5Csqrt%5B3%5D%7B3x-5%7D%7D)
and so
![y(-1) = -\dfrac1{\sqrt[3]{3\times(-1)-5}} = \boxed{\dfrac12}](https://tex.z-dn.net/?f=y%28-1%29%20%3D%20-%5Cdfrac1%7B%5Csqrt%5B3%5D%7B3%5Ctimes%28-1%29-5%7D%7D%20%3D%20%5Cboxed%7B%5Cdfrac12%7D)
Answer:
- 3.5229
Step-by-step explanation:
Using the rules of logarithms
logx + logy = log(xy)
= n
Given
3 ≈ 0.4771, then
0.0003
=
(3 ×
)
=
3 +

≈ 0.4771 - 4
≈ - 3.5229 ( to 4 dec. places )
Answer is 12 to your question