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
Cloud [144]
2 years ago
12

Liam has to fill a hole in the ground that is 24 inches deep. He fills the hole at a rate of 6 inches in 30 minutes. Write a fun

ction that models the depth of the hole in feet over time in hours.
Mathematics
1 answer:
kupik [55]2 years ago
6 0

Answer:

The function that models the depth of the hole in feet over time in hours is h(t) = 24 - 12\cdot t.

Step-by-step explanation:

According to the statement, the variable to be modelled is the depth of the hole, which decreases whereas is filled. Under the assumption that the hole is filled at constant rate, we obtain the following expression:

h(t) = h_{o}-\frac{\Delta h}{\Delta t}\cdot t (1)

Where:

h(t) - Current depth of the hole, measured in inches.

h_{o} - Initial depth of the hole, measured in inches.

\Delta h - Filled level, measured in inches.

\Delta t - Filling time, measured in hours.

t - Time, measured in hours.

If we know that h_{o} = 24\,in, \Delta h = 6\,in and \Delta t = 0.5\,h, then the function that models the depth of the hole is:

h(t) = 24 - 12\cdot t

The function that models the depth of the hole in feet over time in hours is h(t) = 24 - 12\cdot t.

You might be interested in
Lauren divided a pile of paper into 5 stakes. The line plot shows the height of each stack of paper.
sergiy2304 [10]

Answer:

Step-by-step explanation:

4 0
3 years ago
Write a quadratic equation in the form ax^2+bx+c=0 with roots of -4 and 5
Stolb23 [73]

Step-by-step explanation:

- 4 & 5 are roots

Therefore, (x + 4) & (x - 5) are factors.

Required quadratic equation is given as:

(x + 4) (x - 5)  \\  = x(x - 5) + 4(x - 5) \\  =  {x }^{2}  - 5x + 4x - 20 \\  =  {x}^{2}  - x - 20 \\

7 0
3 years ago
Which of the following whole numbers has a square root between 5 and 6?<br><br> 37, 44, 56, or 27
pogonyaev

Answer:

27

I'm not sure how to explain it

8 0
3 years ago
I have 3 problems that I don't understand on my home work can some one help
Ronch [10]
1.) 60-(20% of 60)
60-(.2 * 60)
60-12
48
The pants are $48
2.)30% of x = 20
.3x = 20
.3x/.3= 20/.3
x = 66.6666666...
The pants were $66.67
3.) 25 + (20% of 25)
25+(.2*25)
25+5
30
The magazine is now $30.
4 0
3 years ago
Read 2 more answers
Can someone plss help me with these asap now!!
Lesechka [4]

Answer:

ok i help you but what need

7 0
2 years ago
Other questions:
  • write a division sentence that can be used to represent the following repeated subtraction. 24-8=16. 16-8=8. 8-8=0
    12·1 answer
  • Which of these points lies on the line described by the equation below y-3=5(x-9)
    12·2 answers
  • What is 73.24 rounded to the nearest tenth
    15·1 answer
  • X − 5 = 17<br> A) x = 22 <br> B) x = 12 <br> C) x = 3.4 <br> D) x = -12
    6·1 answer
  • I need help. i have no clue what the answer is
    15·1 answer
  • Estimate the square root of the imperfect square of 18.
    7·1 answer
  • What does 5/7c=13/14 equal
    10·1 answer
  • If f(x) = 3x – 15, then f-'(x) =D
    5·1 answer
  • Please help I’ll give brainliest!!!
    15·1 answer
  • How do I write 780,000 in scientific notation.
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!