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
LuckyWell [14K]
3 years ago
5

The total stopping distance T for a vehicle is T = 2.5x + 0.5x 2 , where T is in feet and x is the speed in miles per hour. Appr

oximate the change in total stopping distance as speed changes from x = 25 to x = 26 miles per hour.
Mathematics
1 answer:
Kobotan [32]3 years ago
6 0

Answer:

%  change in stopping distance = 7.34 %

Step-by-step explanation:

The stooping distance is given by

T = 2.5 x + 0.5 x^{2}

We will approximate this distance  using the relation

f (x + dx) = f (x)+ f' (x)dx

dx = 26 - 25 = 1

T' =  2.5 + x

Therefore

f(x)+f'(x)dx = 2.5x+ 0.5x^{2} + 2.5 +x

This is the stopping distance at x = 25

Put x = 25 in above equation

2.5 × (25) + 0.5× 25^{2} + 2.5 + 25 = 402.5 ft

Stopping distance at x = 25

T(25) = 2.5 × (25) + 0.5 × 25^{2}

T(25) = 375 ft

Therefore approximate change in stopping distance = 402.5 - 375 = 27.5 ft

%  change in stopping distance = \frac{27.5}{375} × 100

%  change in stopping distance = 7.34 %

You might be interested in
5 brothers want to share the cost of a birthday gift for their mom. The youngest brother is too small to get an allowance so the
liberstina [14]

Answer:

<em>Total cost=$73.60 </em>

Step-by-step explanation:

<u>Arithmetics To Solve Simple Problems </u>

Sometimes the use of the most basic operations can be handy to solve problems of a variety of complexities without the use of equations or algebra. We'll approach to the solution of this question by pure logic and basic operations.

If the gift was originally meant to be paid for all 5 brothers, each one would have paid one-fifth of the cost. But since the younger brother won't be paying anything, the cost will be divided among the other four brothers, each one of which will pay now one-fourth of the cost. But this new division is $3.68 more than the previous one. If we take the difference between both fractions, we get

\displaystyle \frac{1}{4}-\frac{1}{5}=\frac{1}{20}

That fraction is the portion of the money they are paying in excess, so the total cost should be twenty times that excess, i.e.

Total cost= 20*3.68=$73.60

Let's check. Each brother should have paid $73.60/5=$14,72. But the four brothers really paid $73.6/4=$18.40. The difference is cost is $18.40-$14,72=$3.68 as required

5 0
2 years ago
A basketball stadium holds 18500 seats. 65% of the seats are in the lower bowl and 35% of the seats are in the upper bowl. A low
Doss [256]
The restrictions are:


1) x ≥ 0


2) number of lower bowl seats = 65% * 18500 = 12,025

=> x ≤ 12,025
 

3) y ≥ 0


4) number of upper bowl seats = 35% * 18500 = 6,475

=> y ≤ 6,475


It is not necessary to state that x + y ≤ 18,500 because it is included in the other restrictions.
8 0
3 years ago
If c(x) = 4x - 2 and d(x) = x^2 + 5x, what is (c • d)(x)?
FromTheMoon [43]

Answer:

4x²+20x-2

Step-by-step explanation:

c(d(x)) = 4[x²+5x] - 2

= 4x²+20x-2

* substitute x by x²+5x

6 0
3 years ago
6x+1=8x-9<br><br> pls help i forgot how to do dis yall
Nata [24]

Answer:

6x+1=8x-9

6x=8x-9-1

6x=8x-8

x

6 0
1 year ago
Read 2 more answers
The paint in can A costs $20 per liter and the paint in can B costs $ 40 per liter. A customer want 10 liters of paint that is 6
VikaD [51]

Answer:

I believe the answer is $200

assuming that can A is red.

Step-by-step explanation:

picture is attached

4 0
2 years ago
Other questions:
  • Add.<br> Question 4<br> 3/8x^3 + 7/2x
    9·1 answer
  • Identify an obtuse angle in this figure. Use the symbol"&lt;" to name the
    8·1 answer
  • What is the result of subtracting the second equation from the first? \begin{aligned} x-3y &amp;= 6 \\\\ -8x-y &amp;= 6 \end{ali
    12·1 answer
  • A new Community Center is being built in Oak Valley. The perimeter of the rectangular playing field is 382 yards. The length of
    9·1 answer
  • I need help with this
    15·1 answer
  • Use a ratio box to solve this problem. The road was steep.
    10·1 answer
  • Instead of A = bh to find the area of a square ​
    6·1 answer
  • True of false? the slope of thia equation is zero <br>y=x+5<br>​
    11·2 answers
  • Find the value of x.<br><br> A) 10<br> C) 11<br> E) 8<br> B) 6<br> D) -6
    7·1 answer
  • Can some on help me please??
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!