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
Monica [59]
2 years ago
10

Alabama Instruments Company has set up a production line to manufacture a new calculator. The rate of production of these calcul

ators after t weeks is
dx/dt=5000(1−100/(t+10)2)calculators/week

(Notice that production approaches 5000 per week as time goes on, but the initial production is lower because of the workers’ unfamiliarity with the new techniques.) Find the number of calculators produced from the beginning of the third week to the end of the fourth week.
Mathematics
1 answer:
umka21 [38]2 years ago
6 0

Answer:

The number of calculators is 4871

Step-by-step explanation:

If we integrate dx/dt we get x, which is the number of calculators. To find the number of calculators between the beginning of third week to the end of fourth week (the beginning of fifth week), this integration must be evaluated at t between 3 and 5.

x=\int\limits^5_3 {\frac{dx}{dt}} \, dt =\int\limits^5_3 {5000(1-\frac{100}{(t+10)^2})} \, dt

the result of the integration is:

x=5000(t+\frac{100}{t+10}) to be evaluated between 3 and 5, which is:

x=5000(5+\frac{100}{5+10})-5000(3+\frac{100}{3+10})=\frac{190000}{39}=4871.8

You might be interested in
The proportion of households in a region that do some or all of their banking on the Internet is 0.31. In a random sample of 100
Alenkasestr [34]

Answer:

Approximate probability that the number of households that use the Internet for banking in a sample of 1000 is less than or equal to 130 is less than 0.0005% .

Step-by-step explanation:

We are given that let X be the number that do some or all of their banking on the Internet.

Also; Mean, \mu = 310/1000 or 0.31   and  Standard deviation, \sigma = 14.63/1000 = 0.01463 .

We know that Z = \frac{X-\mu}{\sigma} ~ N(0,1)

Probability that the number of households that use the Internet for banking in a sample of 1000 is less than or equal to 130 is given by P(X <= 130/1000);

 P(X <=0.13) = P( \frac{X-\mu}{\sigma}  <= \frac{0.13-0.31}{0.01463} ) = P(Z <= -12.303) = P(Z > 12.303)

Since this value is not represented in the z table as the value is very high and z table is limited to x = 4.4172.

So, after seeing the table we can say that this probability is approximately less than 0.0005% .

4 0
3 years ago
David had a bunch of grapes for his snack . If he at 0.1 of a pound every hour , how many pounds did he eat in a 4.4 hours ?
olga_2 [115]
0.44 lbs. 
Is likely your answer
8 0
2 years ago
Read 2 more answers
What is the square root 55 explanation plzz​
vesna_86 [32]

The principal, real, root of:

\sqrt[2]{55} =7.41619849

7 0
3 years ago
The area of a piece of pie in the shape of a sector is 7.1 in^2. The angle of the sector is 40°. Round your answers to the neare
Anika [276]
3.14 is the diameter of pie
7 0
3 years ago
HELP ASAP
dalvyx [7]
So,

All we have to do is multiply all three dimensions together.

First, convert all fractions into improper fractions.

3 \frac{1}{5}--\ \textgreater \  \frac{16}{5}

1 \frac{3}{4} --\ \textgreater \  \frac{7}{4}

2 \frac{1}{4} --\ \textgreater \ \frac{9}{4}

Now multiply the fractions together.

<span>\frac{16}{5}*\frac{7}{4}*\frac{9}{4}= \frac{2*2*2*2*3*3*7}{2*2*2*2*5}
</span>
\frac{3*3*7}{5}--\ \textgreater \ \frac{63}{5}\ or\ 12 \frac{3}{5}\ ft.^3

The correct option is C.
4 0
2 years ago
Other questions:
  • Are theses 3 answers right?
    9·1 answer
  • 42 decreased by twice gorans savings
    11·1 answer
  • Whats the scientific notation of 0.258
    14·1 answer
  • choose the equation below that represents the line passing through the point (2, −4) with a slope of one half. a. y = 1/2x 5 b.
    11·1 answer
  • What is nine one fourth times eight and four fiths
    15·2 answers
  • Mr. Brust tried to simplify the following but made a really common mistake in the problem. Identify the mistake, then show the c
    10·2 answers
  • A survey is being conducted in a city with 1 million residents. It would be far too
    14·1 answer
  • Indicate whether the measures 11, 12, and 20 can be the side lengths of a triangle. If they can, classify the triangle.
    15·1 answer
  • If a 100 part spinner is spun and then a coin is flipped how many possible outcomes are in the sample space for the compound eve
    15·1 answer
  • suppose we want to choose 2 letters without replacement,from the 4 letters A,B,C,and D (a) how many ways can this be done,if the
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!