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
Juli2301 [7.4K]
3 years ago
14

In a memory​ experiment, Alice is able to memorize words at a rate given by m '(t)= - 0.009t^2 + 0.6t. In the same memory​ exper

iment, Ben is able to memorize words at the rate given by M' (t)= - 0.003t^2 + 0.6 t.
1. Who has the higher rate of memorization?

a. Ben
b. Alice

2. How many more words does that person memorize from t = 0 to t = 10 (during the first 10 minutes of the experiment)?
3. Over the first 10 minutes of the experiment, on average, how many words per minute did Alice memorize?
4. Over the first 10 minutes of the experiment, on average, how many words per minute did Ben memorize?
Mathematics
1 answer:
White raven [17]3 years ago
4 0

Answer:

1) Ben, 2) \Delta = 2, 3) \dot m = 2.7, 4) \dot M = 2.9

Step-by-step explanation:

1) Ben has a higher rate of memorization, since the coefficient of the second power is lesser than the one from Alice.

2) The number of words can be estimated by integrating the function:

Alice

\Delta m = -0.003\cdot (10\,min)^{3} + 0.3\cdot (10\,min)^{2}

\Delta m = 27

Ben

\Delta M = -0.001\cdot (10\,min)^{3} + 0.3\cdot (10\,min)^{2}

\Delta M = 29

\Delta = \Delta M - \Delta m

\Delta = 2

3) The average amount of words per minute is:

\dot m = \frac{27}{10}

\dot m = 2.7

4) The average amount of words per minute is:

\dot M = \frac{29}{10}

\dot M = 2.9

You might be interested in
Please help, I need to solve for m. a=f/m
omeli [17]
You dived f out m and you should get a/f=m
3 0
3 years ago
What does x equal 7(2x+5)=4x -9 -x <br> PLEASEEEE HELPPPP ME
Gennadij [26K]

Answer: x=-4

Step-by-step explanation:

Given

7(2x+5)=4x-9-x

Expand parenthesis

14x+35=4x-9-x

Combine like terms

14x+35=3x-9

Subtract 35 on both sides

14x+35-35=3x-9-35

14x=3x-44

Subtract 3x on both sides

14x-3x=3x-44-3x

11x=-44

Divide 11 on both sides

11x/11=-44/11

x=-4

Hope this helps!! :)

Please let me know if you have any questions

5 0
3 years ago
What is the simplified diffrence of the following: 150y and 100y?
Vlad [161]

Answer:

50y

Step-by-step explanation:

This is because 150 minus 100 equals 50

Also because they have the same "y" they can be subtracted easily.

7 0
3 years ago
5. The scale of a map says that 8 cm represents 5 km.
sleet_krkn [62]

Answer:

a. 12.8 cm    b. 3.125

Step-by-step explanation:

To find any scale drawing use a proportion with one unit of values on the top and the other on the bottom. For example 8cm/5km = x/8km. So you would multiply 8 cm and 8 km and then divide by 5 to get 12.8 cm. For the second question plug in 5m in the numerator and solve for its denominator.

3 0
2 years ago
Read 2 more answers
Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an (x,y)(x,y) point.
Serga [27]

Answer:

(8,-3)

Step-by-step explanation:

The given parabola is

y =  - 3 {x}^{2}  + 48x  - 195

We factor -3 from the first two terms to get:

y =  - 3( {x}^{2}   - 16x)  - 195

Add and subtract the square of half the coefficient of x

y =  - 3( {x}^{2}   - 16x + 64)   + 3 \times 64- 195

y =  - 3 {(x - 8)}^{2}  + 192 - 195

We simplify to get:

y =  - 3 {(x - 8)}^{2}  - 3

We compare this to y=a(x-h)²+k,

The vertex is (h,k)=(8,-3)

3 0
3 years ago
Other questions:
  • There are ten people in the Baking Club, including Mark. They choose $3$ people to form an executive committee. How many possibl
    7·1 answer
  • Joseph and Tyler went to the hobby store. They each bought a race car for $15.99. Joseph bought a blue race car for $2.99 and Ty
    13·1 answer
  • If f(x) = log2 (x + 4), what is f−1(3)?
    10·1 answer
  • What is the nth term of 4 9 16 25 36?
    6·1 answer
  • A mother is three times as old as her son and in eleven years she will be just twice his age find the present age of the son and
    12·1 answer
  • Solve for k.<br><br> 5 + 2k = 7
    11·2 answers
  • What does 0.05 x 300 represent?
    10·1 answer
  • ONLY IF YOU'RE CORRECT I WILL GIVE YOU BRAINLIEST!!!!
    7·2 answers
  • Write 0.81 as a fraction
    9·1 answer
  • 3 |14-m| &gt; 18<br> PLEASE HELPP
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!