Step-by-step explanation:
From the statement:
M: is total to be memorized
A(t): the amount memorized.
The key issue is translate this statement as equation "rate at which a subject is memorized is assumed to be proportional to the amount that is left to be memorized"
memorizing rate is
.
the amount that is left to be memorized can be expressed as the total minus the amount memorized, that is
.
So we can write

And that would be the differential equation for A(t).
Each ticket cost : 324 / x
Answer: Secant of angle A = √2
Step-by-step explanation:
From the given right angle triangle,
AB represents the hypotenuse of the right angle triangle.
With m∠B as the reference angle,
AC represents the adjacent side of the right angle triangle.
BC represents the opposite side of the right angle triangle.
To determine Cosine of m∠A, we would apply
the cosine trigonometric ratio.
Cos θ = adjacent side/hypotenuse. Therefore,
Cos A = √5/√10
Secant = 1/Cosine
Therefore,
Secant of angle A = √10/√5 = √2
for every 1 diet soda sold there are 2 regular sodas sold.
hope this helps:)