Answer:
Thirty-seven thousand fifteen point zero eight
Step-by-step explanation:
The question is:
Examine a differential equation expressed as
y′ = f(αt + βy + γ),
where α, β, and γ are constants. Employ the variable change
z = αt + βy + γ to reformulate the differential equation as a separable equation of the type z′ = g(z).
Answer:
The equation
y′ = f(αt + βy + γ)
can be rephrased as
dy/dt = f(αt + βy + γ).
Our goal is to rewrite this differential equation in the form
z' = g(z), that is dz/dt = g(z).
First, be aware that
dz/dt = (dz/dy) * (dy/dt)...................(1)
Utilizing the substitution
z = αt + βy + γ
as specified,
dz/dy = β..........................................(2)
dy/dt = f(αt + βy + γ) = f(z)............(3)
From equations (2) and (3),
dz/dt = β.f(z) = g(z)
Thus,
z' = g(z)
Where g(z) = βf(z).
Answer:
8% likelihood that Anthony may soon join the Acme golf team
Step-by-step explanation:
The probabilities are as follows:
10% chance of being hired by the corporation.
If hired, an 80% probability of making the golf team is expected.
Given this information, we can calculate the probability of Anthony soon playing on the Acme golf team as:
80% of 10%
Thus
P = 0.8*0.1 = 0.08
8% chance that Anthony will soon be part of the Acme golf team
Among the given options, number 3 is accurate. A line is classified as an undefined term since it represents something that lacks width or depth, yet it can extend infinitely in both directions, indicated by arrowheads.
∠1 and ∠8 are alternate exterior angles while ∠3 and ∠6 are alternate interior angles.
step-by-step explanation:
When transversal l intersects lines m and n, the angles formed outside each line on the opposite side of the transversal constitute alternate angles (like ∠1 and ∠8). In contrast, alternate interior angles appear on opposite sides but are located between the two lines (like ∠3 and ∠6).
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Keywords: Transversal, angles
