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
cluponka [151]
3 years ago
12

If a tank holds 5000 gallons of water, which drains from the bottom of the tank in 40 minutes, then Torricelli's Law gives the v

olume V of water remaining in the tank after t minutes as V=5000(1−t40)20≤t≤40. Find the rate at which water is draining from the tank after the following amount of time. (Remember that the rate must be negative because the amount of water in the tank is decreasing.)
Mathematics
1 answer:
pochemuha3 years ago
4 0

Answer:

V'(t) = -250(1 - \frac{1}{40}t)

If we know the time, we can plug in the value for "t" in the above derivative and find how much water drained for the given point of t.

Step-by-step explanation:

Given:

V = 5000(1 - \frac{1}{40}t )^2  , where 0≤t≤40.

Here we have to find the derivative with respect to "t"

We have to use the chain rule to find the derivative.

V'(t) = 2(5000)(1 - \frac{1}{40} t)d/dt (1 - \frac{1}{40}t )

V'(t) = 2(5000)(1 - \frac{1}{40} t)(-\frac{1}{40} )

When we simplify the above, we get

V'(t) = -250(1 - \frac{1}{40}t)

If we know the time, we can plug in the value for "t" and find how much water drained for the given point of t.

You might be interested in
You want to make a rectangular banner that is 18ft. Long with a trim around the entire border of the banner . You have no more t
lys-0071 [83]

Answer:

6 ft

Step-by-step explanation:

Given that:

Length of rectangular banner = 18 ft

Total trim of banner available = 48 ft

To find:

Possible widths of the banner = ?

Solution:

Maximum trim available of the banner around the entire border of the banner = 48 ft

i.e. we are given the total perimeter of the rectangular banner.

Formula for perimeter of a rectangle is given as:

Perimeter = 2 \times (Length + Width)

Putting the values of perimeter and length to find the value of width.

48 = 2 \times (18 + Width)\\\Rightarrow 48 =36+2 \times Width\\\Rightarrow 2 \times Width = 48-36\\\Rightarrow 2 \times Width = 12\\\Rightarrow \bold{Width = 6\ ft}

So, width possible is <em>6ft.</em>

3 0
3 years ago
Type the integer that makes the following addition sentence true:<br><br> -3 + = -11
konstantin123 [22]
An integer that would work is 14 so -3 + 14 = -11
3 0
3 years ago
Read 2 more answers
a food truck sells salads for 6.50 each and drinks for 2.00 each. The food truck's revenue from selling a total of 209 salads an
kati45 [8]
S+d=209
d=209-s
6.5s+2d=836.5
6.5s+2(209-s)=836.5
6.5s+418-2s=836.5
4.5s+418=836.5
4.5s=418.5
s=93

There were 93 salads sold that day.
4 0
3 years ago
What is e-1/2f when e=15 and f=2
dusya [7]

Answer:

14

Step-by-step explanation:

Replace with the values

15-1/2(2) = 15-1 = 14

3 0
3 years ago
Read 2 more answers
Geometry please help
alisha [4.7K]

Answer:

x = 4

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below

P.s: I used the Law of Sines, but there are many other ways to solve it

5 0
3 years ago
Other questions:
  • If 2(4x+3)-12=3x-6, then what value of x makes the equation true? Answer with supporting work:
    5·1 answer
  • Which of the following are even numbers ?
    9·1 answer
  • Which of the following best describes the English expression the quotient of nine and the sum of a number and one
    5·1 answer
  • How do I solve for 'k'?
    15·1 answer
  • 5. What percentage of the runs will give the Delorean a speed less than 68.45 mph?
    10·1 answer
  • HELP PLEASEE !!!!! Using the digits 0 to 9, at most one time each, fill in the boxes to create a square, with one of the vertice
    7·1 answer
  • IRENE BOUGHT SIX POUNDS OF FISH FOR $12.90.BASED ON THAT COST,HOW MUCH WOULD 3.4 POUNDS OF THE SAME FISH COST?
    12·1 answer
  • What is 243.275 in expanded form​
    12·2 answers
  • Do the ratios <br> 15<br> 20<br> and <br> 3<br> 4<br> form a proportion?
    10·1 answer
  • In ΔTUV, u = 330 inches, t = 800 inches and ∠T=53°. Find all possible values of ∠U, to the nearest degree.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!