Answer:
29/60
Step-by-step explanation:
probability of playing is 290/600 which when simplified is29/60
Answer:
x=7
Step-by-step explanation:
x+4=4x-17
4=3x-17
21=3x
x=7
The distances between the given pairs of points are:
- (-8, -2) and (6, -1); d = 14.04
- (-4, 5) and (4,0); d = 9.85
<h3>
How to find the distance between two points?</h3>
The distance between two points (x₁, y₁) and (x₂, y₂) is given by:
d = √( (x₁ - x₂)^2 - (y₁ - y₂)^2)
1) The first pair of points is (-8, -2) and (6, -1), using the above formula we can see that the distance is:
d = √( (-8 - 6)^2 - (-2 +1)^2) = 14.04
2) The second pair is (-4, 5) and (4,0), and using the distance formula, we get:
d = √( (-4 - 5)^2 - (4 - 0)^2) = 9.85
If you want to learn more about the distance between points:
brainly.com/question/7243416
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Answer:
The solution of the given initial value problems in explicit form is 
and the solutions are defined for all real numbers.
Step-by-step explanation:
The given differential equation is
It can be written as
Use variable separable method to solve this differential equation.
Integrate both the sides.
![[\because \int x^n=\frac{x^{n+1}}{n+1}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cint%20x%5En%3D%5Cfrac%7Bx%5E%7Bn%2B1%7D%7D%7Bn%2B1%7D%5D)
... (1)
It is given that y(1) = -2. Substitute x=1 and y=-2 to find the value of C.
The value of C is -2. Substitute C=-2 in equation (1).
Therefore the solution of the given initial value problems in explicit form is .
The solution is quadratic function, so it is defined for all real values.
Therefore the solutions are defined for all real numbers.
Here you have an equation with two unknown constants, a and b, plus 2 sets of points through which the graph goes.
Second point: 96 = a(b)^2
First point: 6 = a(b)^0 Then a = 6.
With a = 6, we can now write: 96 = 6b^2. Then b^2 = 16, and b=4.
Then y =6(4)^x (answer)
