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
natima [27]
2 years ago
10

Civil engineer wants to estimate the maximum number of cars that can safely travel on a particular road at a given speed. He ass

umes that each car is 14 feet long, travels at speed S, and follows the car in front of it at a safe distance for that speed. He finds that the number N of cars that can pass a given spot per minute is modeled by the function
N=(89s)/(14+14(s/17)^2))

At what speed can the greatest number of cars travel safely on that road? Assume that the maximum possible speed of a car is less than 300.
Mathematics
1 answer:
pychu [463]2 years ago
5 0
N(s)= \frac{89s}{14+14( \frac{s}{17})^2 }
\\
\\N'(s)= (\frac{89s}{14+14( \frac{s}{17})^2 } )'= \frac{89\times 14(1+( \frac{s}{17})^2)-89s\times  \frac{28}{17} }{14^2(1+( \frac{s}{17})^2)} 
\\
\\N'(s)=0
\\
\\89\times 14(1+( \frac{s}{17})^2)-89s\times  \frac{28}{17}=0
\\
\\1+( \frac{s}{17})^2- \frac{2s}{17} =0
\\
\\289+s^2-34s=0
\\
\\s^2-34s+289=0
\\
\\(s-17)^2=0
\\
\\s=17

You might be interested in
Divide:<br><br> 16)160<br><br> A. 10<br><br> B. 11<br><br> C. 16<br><br> D. 26<br><br> E. 100
grin007 [14]

Answer:

10

Step-by-step explanation:

your welcome...............

3 0
3 years ago
What number should be added to both sides of the equation to complete the square?
baherus [9]
-4 is what you put on both sides Bc it’s half of b
4 0
2 years ago
Given that El bisects ZCEA, which statements must be
Alexxx [7]

Question: Given that BE bisects ∠CEA, which statements must be true? Select THREE options.

(See attachment below for the figure)

m∠CEA = 90°

m∠CEF = m∠CEA + m∠BEF

m∠CEB = 2(m∠CEA)

∠CEF is a straight angle.

∠AEF is a right angle.

Answer:

m∠CEA = 90°

∠CEF is a straight angle.

∠AEF is a right angle

Step-by-step explanation:

Line AE is perpendicular to line CF, which is a straight line. This creates two right angles, <CEA and <AEF.

Angle on a straight line = 180°. Therefore, m<CEA + m<AEF = m<CEF. Each right angle measures 90°.

Thus, the three statements that must be TRUE are:

m∠CEA = 90°

∠CEF is a straight angle.

∠AEF is a right angle

3 0
2 years ago
What is the value of 5+-12=
vitfil [10]

Answer:

It would be -7

Step-by-step explanation:

The 12 is negative, so instead of adding, you would subtract 5.

6 0
3 years ago
HELP I NEED THIS REALLY FAST WILL GIVE BRANILIEST!!!
n200080 [17]
the answer is A because it shows.
6 0
2 years ago
Read 2 more answers
Other questions:
  • the sum of two consecutive integers is less than 83. find the pair of integers with the greatest sum.
    7·1 answer
  • Please help me with this question devide 1296/0.81
    5·1 answer
  • What is 4 divided by 5/7
    5·1 answer
  • The figure below shows a rectangle ABCD having diagonals AC and DB. ​
    9·1 answer
  • Consider a value to be significantly low if its z score less than or equal to minus−2 or consider a value to be significantly hi
    8·1 answer
  • VX
    11·1 answer
  • Draw a number line. Samuel drove 3 miles to get to school. Then, he drove miles to
    12·1 answer
  • Which choice shows a function with a domain of {–4, –2, 2, 4}? On a coordinate plane, a vertical line is at x = 2. On a coordina
    7·1 answer
  • What kind of triangle is 6, 8, and 9
    10·1 answer
  • HURRY I WILL GIVE U BRAINLYIST Renaissance artists learned about depth and ______, which they incorporated in their works of art
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!