Answer:
-9
Step-by-step explanation:
Slope is the same so y=-2x+b
Plug in x and y
-3=-2(-3)+b
-3=6+b
b=-9
(Y-intercept is -9)
Answer:
100
Step-by-step explanation:
We will have to find the best option that has a wide wider range of 15 milimeters.
From the images given,
Option A will not be suitable because most of the worms tend towards 30 and 50
Option B is most suitable because most of the worm fall reasonably within this range
The decay constant is i 0.1155, and there would be 16 mg left after 24 hours.
The relationship between the half-life, T₀.₅, and the decay constant, λ, is given by
T₀.₅ = 0.693/λ.
Solving for λ, we will multiply both sides by λ first:
(T₀.₅)(λ) = 0.693
Since we know the half life is 6 hours, this gives us:
6λ = 0.693
Dividing by 6, we have
λ = 0.693/6 = 0.1155.
The decay constant will be k in our decay formula, and N₀, the original amount of substance, is 250:
N(24) = 250e^(-0.1155*24) = 15.6 ≈ 16
a) 4.71ft
b) 3.53ft^2
Step-by-step explanation:
Perimeter is 1/2 the circumference
1/2 Circumference = 2*pi*radius
Radius = 1/2 Diameter
Radius = 3/2 = 1.5ft
Circumference = 2*pi*1.5ft = 9.42
1/2 Circumference = 4.71
4.71ft is the perimeter.
The area is 1/2 that of a full circle
A = pi*r^2
A = 3.14*1.5*1.5
A = 7.065ft^2
1/2 A = 3.53ft^2