Answer:
there is no collision between the particles
Step-by-step explanation:
for the first particle
x1=3sin t, y1 = 2 cos t, 0 ≤ t ≤ 2π
for the second particle
x2 = -3 + cos t, y2 = 1 + sin t, 0 ≤ t ≤ 2π
then for the collision
x1=x2 → 3*sin t = -3 + cos t → sin t= -1 + (cos t)/3→ 1+ sin t = (1/3)cos t
y1=y2 → 1 + sin t = 2 cos t → (1/3)cos t = 2 cos t →(1/3) = 2
since 1/3 ≠ 2 there is no collision between the particles
Answer:
x=(y+9)/(1+2w)
Step-by-step explanation:
x-9+2wx=y
We make x the subject
x+2wx=y+9
x(1+2w)=y+9
Divide both sides by (1+2w)
x(1+2w)/(1+2w)=y+9(1+2w)
x=(y+9)/(1+2w)
The equation which represents exponential decay is y=
Given four equations : 1)y=, 2) y=, 3) y=, 4) y=.
Equation is relationship between two or more variables expressed in equal to form. Equations of two variables look like ax+by=c. Exponential equation look like .
Decay means when x value increases ,the y value decreases.
We haveto put 3 values for x in the equations to check.
1)y=
put x=0,y=-3
put x=1, y=-1
put x=2, y=5
No,itdoes not represents exponential decay.
2) y=2
put x=0,y=2
put x=1, y=8
put x=2, y=32
No,it does not represents exponential decay.
3) y=
put x=0,y=0.5
put x=1, y=1.5
put x=2, y=4.5
No,it does not represents exponential decay.
4)y=6
put x=0,y=6
put x=1, y=2
put x=2, y=0.67
Yes ,it represents exponential decay.
Hence the equation which represents exponential decay is y=6.
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Answer:
24 hr × 30% = 24 hr × 0.30 = 7.2 hr (or 7 hr 12 min)