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
Yanka [14]
3 years ago
12

18) A company is planning to manufacture a new blender. After conducting extensive

Mathematics
1 answer:
zhenek [66]3 years ago
7 0

Answer:

  R(x) = -0.05x^2 +80x

Step-by-step explanation:

Given the two points (x, p), the equation for the price associated with a given demand quantity can be written using the 2-point form:

  p = (p2 -p1)/(x2 -x1)(x -x1) +p1

  p = (40 -50)/(800 -600)(x -600) +50

  p = -0.05x +80 . . . . simplify

Then the revenue equation is ...

  R(x) = xp

  R(x) = -0.05x^2 +80x

You might be interested in
When asked to find a number one-tenth as large as another number, what operation would you use? What about when asked to find a
kherson [118]

Apply division by 10 when one tenth of a number is required and apply multiplication by 10 when 10 times of a number is required.

<u>Solution:</u>

Need to determine what operation is required to get one-tenth of a number and 10 times of a number

To get one tenth of a number, divide the number by 10.

For example to get one – tenth of 100, divide it by 10, we get 10 as a result.

\frac{1}{10} \times 100 = 10

To get ten times of a number, multiply the number by 10

For example 10 times of 10 = 10 x 10 = 100

Hence apply division by 10 when one tenth of a number is required and apply multiplication by 10 when 10 times of a number is required.

6 0
2 years ago
Artie's brother is able to do 12 more push-ups than Artie. Artie represented the total number of push-ups his brother can do usi
Irina-Kira [14]

Answer:

Step-by-step explanation:

8 0
3 years ago
Water is added to a cylindrical tank of radius 5 m and height of 10 m at a rate of 100 L/min. Find the rate of change of the wat
nirvana33 [79]

Answer:

V = \pi r^2 h

For this case we know that r=5m represent the radius, h = 10m the height and the rate given is:

\frac{dV}{dt}= \frac{100 L}{min}

Q = 100 \frac{L}{min} *\frac{1m^3}{1000L}= 0.1 \frac{m^3}{min}

And replacing we got:

\frac{dh}{dt}=\frac{0.1 m^3/min}{\pi (5m)^2}= 0.0012732 \frac{m}{min}

And that represent 0.127 \frac{cm}{min}

Step-by-step explanation:

For a tank similar to a cylinder the volume is given by:

V = \pi r^2 h

For this case we know that r=5m represent the radius, h = 10m the height and the rate given is:

\frac{dV}{dt}= \frac{100 L}{min}

For this case we want to find the rate of change of the water level when h =6m so then we can derivate the formula for the volume and we got:

\frac{dV}{dt}= \pi r^2 \frac{dh}{dt}

And solving for \frac{dh}{dt} we got:

\frac{dh}{dt}= \frac{\frac{dV}{dt}}{\pi r^2}

We need to convert the rate given into m^3/min and we got:

Q = 100 \frac{L}{min} *\frac{1m^3}{1000L}= 0.1 \frac{m^3}{min}

And replacing we got:

\frac{dh}{dt}=\frac{0.1 m^3/min}{\pi (5m)^2}= 0.0012732 \frac{m}{min}

And that represent 0.127 \frac{cm}{min}

5 0
3 years ago
The life of a manufacturer's compact fluorescent light bulbs is normal, with mean 12,000 hours and standard deviation 2,000 hour
vitfil [10]

Z value is a numerical  measurement that describe a value relationship to the mean of a group of values. The standard deviations is 1.25 above the mean is 14,500 hours.

<h3>Given information-</h3>

The mean for the bulb is 12,000 hours.

The standard deviation for the bulb is 2000 hours.

Sample value is 14500.

To find out the how many standard deviation is 14500 mean away from the mean the z value of the mean should be calculated.

<h3>Z value</h3>

Z value is a numerical  measurement that describe a value relationship to the mean of a group of values. Z value is the ratio of the difference of the sample value x and mean \mu to the standard deviation. Thus the z value for the given mean \sigma is,

z=\dfrac{x-\mu}{\sigma}

z=\dfrac{14500-1200}{2000}

z=1.25

Thus the standard deviations is 1.25 above the mean is 14,500 hours.

Learn more about the z value here;

brainly.com/question/62233

4 0
2 years ago
What is the value of b?<br> 50 points in it for you plus a thanks, 5 star and brainliest.
Amiraneli [1.4K]

Answer:

50

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Which of the following expressions is equivalent to 1/3 ÷ 3/4
    13·1 answer
  • + 10<br>The perimeter of a square is 60cm.<br>Work out the area of the square,<br>cm2​
    14·2 answers
  • Area of 26 sq feet, length of 5 1/2, what is width
    15·2 answers
  • If f(x) and its inverse function, f–1(x), are both plotted on the same coordinate plane, what is their point of intersection?
    15·2 answers
  • An even function must always have what characteristic?
    13·1 answer
  • Determine if the lines that pass through the given points are parallel, perpendicular or neither. Line A: (-3, 5) and (0, 7) Lin
    7·2 answers
  • What is the sum of the fractions below?<br> 1/7 + 3/8
    5·1 answer
  • A curious statistics student cannot get enough statistics, so he decides to analyze the percentage of students sleeping in his s
    5·1 answer
  • Find the highest common factor<br>​
    6·1 answer
  • Given the points (-10, -3) and (4,8) find the slope.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!