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).
9514 1404 393
Answer:
F. x(y +12)
Step-by-step explanation:
The factor of 1/5 can be distributed, while the factor of x is left alone.
15/x(5y +60) = x(1/5(5y +60)) = x(y +12) . . . . matches F
Answer:
wrong
Step-by-step explanation:
the student added 4x with 3 instead of multiplying
Answer:
$ 23.55
Step-by-step explanation:
143.35*.15=21.5025 + 143.35 = $164.8525/7 = $ 23.5503571429
Answer:
mYW = 151°
Step-by-step explanation:
∠XWY is an inscribed angle because it has a vertex on the circle. This means that m∠XWY is half of the arc it intercepts, which is XY. We can model the situation using an equation:
m∠XWY = mXY / 2
37° = mXY / 2
mXY = 74°
All arcs in a circle add up to 360°. Because of this, we can say:
mXY + mYW + mWX = 360°
74° + mYW + 135° = 360°
209° + mYW = 360°
mYW = 151°