1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Over [174]
3 years ago
13

In the theory of learning, the rate at which a subject is memorized is assumed to be proportional to the amount that is left to

be memorized. Suppose M denotes the total amount of a subject to be memorized and A(t) is the amount memorized in time t > 0. Determine a differential equation for the amount A(t). (Assume the constant of proportionality is k > 0. Use A for A(t).)
Mathematics
1 answer:
fiasKO [112]3 years ago
4 0

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 \frac{dA(t)}{dt}.

the amount that is left to be memorized can be expressed as the total minus the amount memorized, that is M-A(t).

So we can write

\frac{dA(t)}{dt}=k(M-A(t))

And that would be the differential equation for A(t).

You might be interested in
Jacob wants to make a graph to show the relationship between temperatures in Fahrenheit and degrees Celsius. He plots the follow
____ [38]
Answer: It will not be spread out horizontally across the entire coordinate plane because in Step 2, Jacob plotted Fahrenheit instead of Celsius on the x-axis.

Jacob confused the values, the first coordinate of the ordered pairs (which corresponds to the x-axis) is in Celsius and he used it as Farenheit.

4 0
3 years ago
A.) which of these expressions is equivalent to 4 x x
Law Incorporation [45]

Answer:

a) The correct option is C: 4x

b) The correct option is B: 2x

Step-by-step explanation:

a) Usually when we have a real number multiplying a variable, we do not need to write the multiplication symbol.

So instead of writing:

4×x

We can write:

4x

And this will be equivalent.

Then in this case the correct option is C.

b) We know that if we have the multiplication of A by n, this will be equivalent to add A n times.

Then if we have the sum of A, for example, 4 times, we have:

A + A + A + A

And this can be written as 4*A

In this case, we have the expression x + x.

So we are adding x two times, then this can be written as: 2*x, or, as we said earlier, this also can be written as 2x.

Then the correct option is option B.

8 0
2 years ago
Proving a Quadrilateral Is a Parallelogram
Schach [20]

Answer: a. yes, one pair of opposite sides could measure 10in., and the other pair could measure 13 in.

Step-by-step explanation: i just took it

8 0
3 years ago
Which ratio would help find the distance the person is from the flag pole ¨X¨ if the angle is elevation of 30 degrees.
WINSTONCH [101]

Answer:

There are three major trignometric ratios in mathematics and they are:

sine(sin), cosine(cos) and tangent(tan). A popular acronym is used in recalling the formula for each ratio and it is: SOH-CAH-TOA.

Sine(x) = Opp/Hyp

Cosine(x) = Adj/Hyp

Tangent(x) = Opp/Adj

Now, the Hyp is the hypothenus of the triangle and it is the side opposite to angle 90. The opposite and adjacent is kind of relative depending on the angle been considered. For this case, we are considering angle 30 which the opposite side is 60 and the remaining side becomes the adjacent

Step-by-step explanation:

tan 30 = 60/x

5 0
2 years ago
All 12 12 members of the glee club went to eat at the Hibachi Grill restaurant. The chicken costs $10 $10 per person, while the
kodGreya [7K]

Answer:

8 chicken and 4 beeff

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • The length of the arc intercepted by a congruent central angle is proportional to the _______ in similar circles.
    12·1 answer
  • (3x + 20) (5x) find x
    14·1 answer
  • How many 0.4 liter glasses of water are contained in a 5.2 - liter pitcher? How do you find it out step by step?
    13·1 answer
  • Which point best approximates the square root of 3?
    10·2 answers
  • Convert the speed of light (3.0 x 10^8m/s) from meters per second (m/s) to nanometers per picosecond (nm/ps)
    8·1 answer
  • Critical Thinking Explain how the formulas for the perimeter and area of a square may be derived from the corresponding formulas
    5·1 answer
  • WILL GIVE BRAINLIEST!!! Show your work please!!
    10·1 answer
  • Find the area of the shaded region . RQ= 71.5 inches and PO=93.4 inches . Use 3.14 as necessary
    7·1 answer
  • PLS HELP ASAP! 20 PTS<br><br> evaluate
    13·1 answer
  • Simplify 8x^2-x-12x+2x2​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!