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
vlada-n [284]
3 years ago
14

A water tank has a square base of area 5 square meters. Initially the tank contains 70 cubic meters. Water leaves the tank, star

ting at t=0, at the rate of 2 + 4 t cubic meters per hour. Here t is the time in hours. What is the depth of water remaining in the tank after 3 hours
Mathematics
1 answer:
ANEK [815]3 years ago
3 0

Answer:

9.2\ \text{m}

Step-by-step explanation:

b = Surface area of base = 5 square meters

Volume of water in tank = 70 cubic meters

The rate at which the volume is reducing is

\dfrac{dV}{dt}=2+4t\\\Rightarrow dV=2+4tdt

Integrating from t=0 to t=3

V=\int^3_0(2+4t)dt\\\Rightarrow V=2t+2t^2|_0^3\\\Rightarrow V=2\times 3+2\times 3^2-0\\\Rightarrow V=24

Volume of water remaining in the tank is 70-24=46\ \text{m}^3

Suface area of base \times depth = Volume

5\times d=46\\\Rightarrow d=\dfrac{46}{5}\\\Rightarrow d=9.2\ \text{m}

The depth of the water remaining in the tank is 9.2\ \text{m}.

You might be interested in
Write an expression in simplest form that represents the cost for shampooing and cutting w women's hair and m men's hair.
tensa zangetsu [6.8K]

Answer:

the cost of the women's haircut is $15 and to shampoo the woman's hair is $5

and the cost of the mens hair cut is $7  and to shampoo the mens hair is $2

15+5=$20 is how much it cost for the women.

7+2=$9 is how much it cost for the men.

Step-by-step explanation:

6 0
3 years ago
What is the slope line ?
sweet-ann [11.9K]

Answer:

-3.....

have a nice day

3 0
3 years ago
Read 2 more answers
If f(x) = 2x squared - 5x + 7 what is the value of f(-3)
ch4aika [34]

Answer:

f(-3)=40

Step-by-step explanation:

4 0
2 years ago
What are the intercepts to the line
Roman55 [17]
The x-intercept is 8 because it passes through the horizontal line (x) at point 8.
The y-intercept is -4 because it passes through the vertical line a (y) at point -4.
The correct answer is B.
Hope this helps!
5 0
3 years ago
GIVING BRAINLIEST PLS HELP
AveGali [126]

Answer:

f(x) = x

Step-by-step explanation:

note : slope is positive 1, so the x term must be positive

also note the graph intersects the curve at y = 0, which means that they y-intercept is zero .

if we substitute this into the general equation for a line

y = mx + b, where m = +1 and b = 0,

we get y = x

or f(x) = x (in function form)

5 0
3 years ago
Other questions:
  • Please help thank you! <br><br> The second question has 2 answers!
    14·1 answer
  • What does e^pi equal to
    10·1 answer
  • Bob earns money by tutoring friends at $8 per hour and walking dogs for $7.50 per hour. He has 15 hours available to work each w
    12·1 answer
  • If the input is -8, what is the output?<br> the equation is : f(x) = -6x – 3
    8·2 answers
  • Please Help!! Brainliest Answer! Thank you
    15·2 answers
  • What number makes the equation true?<br> 4= 36 :<br> PLZZZZZ HELP
    8·1 answer
  • What’s is 20x^3 divided by x^2
    6·2 answers
  • In a set of real numbers, the first number less then -3 is -4<br> true <br> or<br> false
    11·2 answers
  • Which of the following could possibly be the side lengths of the triangle formed?
    15·1 answer
  • (ACCOUNTING)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!