The answer to the question is point slope form
Answer:
17.9 m/s
Step-by-step explanation:
Volume of the slick = 0.5 x π r² h--------------------------------- (1)
Where r = radius of slick
h = thickness of slick, 10⁻⁶m
If 0.5m³ of oil leaked, then the radius of the semicircular slick can be calculated from equation (1)
V = 0.5 x π r² h
0.5= 0.5 x π x r² x 10⁻⁶
r² = 10⁶/ π
r = 10³/√π
dV/dt = πrh dr/dt + 0.5π r² dh/dt----------------------------------- (2)
Asumming the film thickness is constant , equation (2) becomes
dV/dt = πrh dr/dt-------------------------------- (3)
dV/dt = 0.1m³/day
r= 10³/√π
dr/dt= rate of expansion of the slick
Substituting into (3);
0.1 = π x 10³/√π x 10⁻⁶ x dr/dt
dr/dt = 0.1 x 10⁶/ ( π x 10³/√π)
= 17.9479 m/s
≅ 17.9 m/s
Answer:
y = 52500(.91)^x
Step-by-step explanation:
Exponential functions are written y = ab^x where a is the starting point and b is the common ratio. We know the initial worth is 52500 and each year the worth decreases 9% of the original year, making it work 91% of the previous value.
Step-by-step explanation:
given points,
(-2, -1) and (4,3)
we know,
slope of line = y_2 - y_1/ x_2 - x_1
x_1 and y_1 = -2 , -1
x_2 and y_2 = 4 , 3
according to the formula
3 - (-1)/4 - (-2)
→ 3 + 1/4 + 2
→ 4/6
→ 2/3
or (2,3)
therefore, slope of the given line is (2,3).
Hope this answer helps you dear!
Answer:
36
Step-by-step explanation:
36 u think you need to multiply it by 2
