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
s344n2d4d5 [400]
2 years ago
6

Vint is testing ceiling fans in a factory. For one of the tests, he switches the fan on, and after it attains a maximum speed of

500 rotations per minute (rpm), he switches the fan back off, recording the amount of time it takes for the fan to completely stop spinning. The given equation models Vint's test, where x represents time in seconds and y represents the speed in rotations per minute. The equation has been graphed as shown.
Assuming that the test was complete when the fan stopped spinning completely, how long was the test?

A. 100 seconds

B. 10 seconds

C. 20 seconds

D. 500 seconds

Mathematics
2 answers:
Natasha_Volkova [10]2 years ago
8 0

Answer:

20 seconds

Step-by-step explanation:

Given :

y=-5x^2+100x

Where x  represents time in seconds and y represents the speed in rotations per minute.

To Find : Assuming that the test was complete when the fan stopped spinning completely, how long was the test?

Solution:

Since we are supposed to find how long will it take to stop the fan completely

We assumed that  test was complete when the fan stopped spinning completely

i.e. y = Speed = 0

So, Substitute y = 0 in the equation    y=-5x^2+100x

⇒0=-5x^2+100x

⇒5x^2=100x

⇒5x=100

⇒x=\frac{100}{5}

⇒x=20

Thus it took 20 seconds to stop the fan

Hence the test was 20 seconds long.

Gennadij [26K]2 years ago
5 0

Answer:

C. 20 seconds

Step-by-step explanation:

We want to know when y=0

The first y is when it started and the second y=0 is when it stops

Looking at the graph y=0 at x=0 and  y=0 at x=20

The fan started at time 0 and stopped at 20 seconds

You might be interested in
What makes headlines? (Geojoke answer) (this is for trigonometric ratios)
Fudgin [204]

Answer:

sorry what do you mean

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Find 1/4+13/20<br> . Write your answer as a fraction in simplest form.
jek_recluse [69]
The LCD here is 20.  Thus, 1/4 = 5/20.  The sum of 5/20 and 13/20 is 18/20, which can be reduced to 9/10.
4 0
3 years ago
Integration of the following function
DerKrebs [107]

Answer: None of the above

Step-by-step explanation:

Given

\frac{\mathrm{d} \bar{c}}{\mathrm{d} x}=-6x^{-2}+\frac{1}{6}

d\bar{c}=\left (  -6x^{-2}+\frac{1}{6}\right )dx

Now, integrating both sides

\int d\bar{c}=\int \left (  -6x^{-2}+\frac{1}{6}\right )dx

\bar{c}=-6\frac{x^{-2+1}}{-2+1}+\frac{1}{6}x+k_1

\bar{c}=6x^{-1}+\frac{1}{6}x+k_1

6 0
3 years ago
Apex Grocery wants to build a warehouse that is exactly five miles from each of the routes between stores L, M, and N. Which con
Elanso [62]

Answer: Option C - Construction Y because point E is the circumcentre of triangle LMN.

Point E is the best location for the warehouse as it is exactly equidistant from the three stores at L, M and N.

Step-by-step explanation:

Before solving an algebra problem, it sometimes helps to get a geometric picture of what's happening. Geometry says that three points determine a circle - in other words, given three points that are not

all on the same line, there is exactly one circle which passes through all 3. Finding the point equidistant from the 3 points is the same thing as finding the center of the circle that passes through all of them (since all points on a circle are equidistant from the center).

Our points are L, M and N. Draw the lines LM, LN and MN to form a triangle. Now construct the perpendicular bisectors of any two of the lines, and their intersection, point E, will be the center of this circle.

As shown in the Construction Y because E is the circumcentre of triangle LMN.

This is the best location for the warehouse as it is exactly equidistant from the three stores at L, M and N.

QED!

5 0
3 years ago
Help for geometry asap
Llana [10]

<u>Given</u>:

Four lines are marked proportion, the length of TW can be determined by

TW=a+4+b

<u>Value of a:</u>

Let us set the proportion for the given lines.

Thus, we have;

 \frac{a}{7}=\frac{4}{5}

5a=28

 a=5.6

Thus, the value of a is 5.6

<u>Value of b:</u>

Let us set the proportion for the given lines.

Thus, we have;

 \frac{4}{5}=\frac{b}{5}

20=5b

 4=b

Thus, the value of b is 5.

<u>Length of TW:</u>

The length of TW is given by

TW=5.6+4+4

TW=13.6

Thus, the length of TW is 13.6

3 0
3 years ago
Other questions:
  • Which of the following is not a triangle congruence theorem?<br> A. ASA<br> B. AAS<br> C. SSA
    13·1 answer
  • for each babysitting job, Ashley charges 2.50 dollars for bus fare plus 8 dollars per hour for each hour she works. She charged
    9·1 answer
  • Zucchini weights are approximately normally distributed with mean 08 pound and standard deviation 0.25 pound. Which of the follo
    15·1 answer
  • LeRoy ran a total of 15 miles last month. He ran 5/8 miles each day. How many days did he run?
    6·1 answer
  • A right triangle has a leg of 5 inches and a hypotenuse of 7 inches. What is the length of the other leg?
    8·2 answers
  • Solve for x <br> (20 pts)
    12·2 answers
  • Geometry need answer to this due soon ​
    11·1 answer
  • Determine the average number of customers waiting in line. (Round your answer to 2 decimal places.) b. Determine the average tim
    8·1 answer
  • What is the next term of the arithmetic sequence?<br> −7,−3,1,5,9,
    14·1 answer
  • PLEASE HELP! I"LL MARK BRAINLIEST!!!!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!