Answer:
arlo
Step-by-step explanation:
if y=3 and x=4
then 3= -2(4)+5
3=(-8)+5
3=(3)
We write the equation in terms of dy/dx,
<span>y'(x)=sqrt (2y(x)+18)</span>
dy/dx = sqrt(2y + 18)
dy/dx = sqrt(2) ( sqrt(y + 9))
Separating the variables in the equation, we will have:
<span>1/sqrt(y + 9) dy= sqrt(2) dx </span>
Integrating both sides, we will obtain
<span>2sqrt(y+9) = x(sqrt(2)) + c </span>
<span>where c is a constant and can be determined by using the boundary condition given </span>
<span>y(5)=9 : x = 5, y = 9
</span><span>sqrt(9+9) = 5/sqrt(2) + C </span>
<span>C = sqrt(18) - 5/sqrt(2) = sqrt(2) / 2</span>
Substituting to the original equation,
sqrt(y+9) = x/sqrt(2) + sqrt(2) / 2
<span>sqrt(y+9) = (2x + 2) / 2sqrt(2)
</span>
Squaring both sides, we will obtain,
<span>y + 9 = ((2x+2)^2) / 8</span>
y = ((2x+2)^2) / 8 - 9
Answer:
there is equal probability for each outcome
Step-by-step explanation:
Let's say you are flipping a coin.
The possible outcomes are : Head and Tail
Probability(Head) = 1/2
Probability(Tail) = 1/2
In this case, there is equal theoretical probability of each outcome
Answer:
Step-by-step explanation:
Triangle IJK is a right angle triangle.
From the given right angle triangle
JK represents the hypotenuse of the right angle triangle.
With ∠K as the reference angle,
IK represents the adjacent side of the right angle triangle.
IJ represents the opposite side of the right angle triangle.
To determine Cos K, we would apply trigonometric ratio
Cos θ = adjacent side/hypotenuse. Therefore,
Cos K = 36/85
Cos K = 0.4235
Rounding up to the nearest hundredth,
Cos K = 0.42
Answer:
ano ang pinag kaiba noon kaysa ngayon
